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---- 5D ----

This page is available sorted by point-group symmetry (below)
or by complexity (older version).


Terse Overview of Irreduzible Dynkin Graph Types

(For obvious reasons only the existing 4D graph types, which exist as subgroups in 5D as well, have to be extended here.)

Linear Tridental Loop & Tail
                             
                             
                             
  o--P--o--Q--o--R--o--S--o  
                             
                             
                             
 o-P-o-Q-o *b-R-o-S-o  = 
                         
  o_                     
     -P_                 
         >o--R--o--S--o  
     _Q-                 
  o-                     
 o-P-o-Q-o-R-o-S-o-T-*c  = 
                           
                     _o    
                 _R-  |    
  o--P--o--Q--o<      | S  
                 -T_  |    
                     -o    
 o-P-o-Q-o-R-o-S-o-T-*b  = 
                           
    o---P---o---Q---o      
            |       |      
            T       R      
            |       |      
            o---S---o      
Two Armed Two Legged Prolate Crossed Rhomb & Tail Oblate Crossed Rhomb & Tail
 o-P-o-Q-o-R-o *b-S-o-T-*c  = 
                              
     o--P--o--Q--o--R--o      
            \   /             
           S \ / T            
              o               
                              
  o-P-o-Q-o-R-o-S-*b-T-o  = 
                            
    o_             _o       
       -P_     _Q-  |       
           >o<      | R     
       _T-     -S_  |       
    o-             -o       
 o-P-o-Q-o-R-o-S-o-T-*b *c-U-*e  = 
                                   
      o---P---o---Q---o            
               \     / \           
                T   U   R          
                 \ /     \         
                  o---S---o        
 o-P-o-Q-o-R-o-S-o-T-*b-U-*d  = 
                                
      o---Q---o---P---o         
       \     / \                
        R   U   T               
         \ /     \              
          o---S---o             
Bowtie Loop House Three Looped
 o-P-o-Q-o-R-*a-S-o-T-o-U-*a  =
                               
       o_             _o       
       |  -P_     _U-  |       
     Q |      >o<      | T     
       |  _R-     -S_  |       
       o-             -o       
 o-P-o-Q-o-R-o-S-o-T-*a  =  
            _o_             
        _T-     -P_         
     o-             -o      
      \             /       
       S           Q        
        \         /         
         o---R---o          
 o-P-o-Q-o-R-o-S-o-T-*a-U-*c  = 
                                
      o---T---o_                
      |       |  -P_            
      S       U      >o         
      |       |  _Q-            
      o---R---o                 
 o-P-o-Q-o-R-*a-S-o-T-o-U-*a *c-V-*e =
                                      
          o---P---o---U---o           
           \     / \     /            
            Q   R   S   T             
             \ /     \ /              
              o---V---o               
Tetrahedron & Tail Others
 o-P-o-Q-o-R-o-S-o-T-*b-U-*d *c-V-*e =
                           _o         
                        _- /|         
                    _Q-   R |         
                 _-     /   |         
      o---P---o<---U---o    V         
                 -_     \   |         
                    -T_   S |         
                        -_ \|         
                           -o         

In the following symmetry listings "etc." means replacments according to 33/2, to 44/3, to 55/4, or to 5/25/3.

Polytera with Grünbaumian elements so far are not investigated any further. Those are Grünbaumian a priori, usually because of some subgraph -x-n/d-x-, where d is even. Others, which come out as being Grünbaumian a posteriori will be given none the less.




loop & tail ones
 o-P-o-Q-o-R-o-S-o-T-*c  = 
                           
                     _o    
                 _R-  |    
  o--P--o--Q--o<      | S  
                 -T_  |    
                     -o    
 o-P-o-Q-o-R-o-S-o-T-*b  = 
                           
    o---P---o---Q---o      
            |       |      
            T       R      
            |       |      
            o---S---o      

Hexateral Symmetries   (up)

o3o3o3o3o3/2*c o3o3o3o3/2o3*c o3o3o3/2o3/2o3/2*c
x3o3o3o3o3/2*c - "2hix"
   (contains "2pen" as verf)
o3x3o3o3o3/2*c - (contains "2pen")
o3o3x3o3o3/2*c - (contains "2tet")
o3o3o3x3o3/2*c - (contains "2tet")
o3o3o3o3x3/2*c - (contains "2tet")

x3x3o3o3o3/2*c - (contains "2pen")
x3o3x3o3o3/2*c - (contains "2tet")
x3o3o3x3o3/2*c - (contains "2tet")
x3o3o3o3x3/2*c - (contains "2tet")
o3x3x3o3o3/2*c - (contains "2tet")
o3x3o3x3o3/2*c - (contains "2tet")
o3x3o3o3x3/2*c - (contains "2tet")
o3o3x3x3o3/2*c - rawx
o3o3x3o3x3/2*c - [Grünbaumian]
o3o3o3x3x3/2*c - dehad

x3x3x3o3o3/2*c - (contains "2tet")
x3x3o3x3o3/2*c - (contains "2tet")
x3x3o3o3x3/2*c - (contains "2tet")
x3o3x3x3o3/2*c - rocrax (old: sircrax)
x3o3x3o3x3/2*c - [Grünbaumian]
x3o3o3x3x3/2*c - (contains "2firp")
o3x3x3x3o3/2*c - rapirx
o3x3x3o3x3/2*c - [Grünbaumian]
o3x3o3x3x3/2*c - (contains "2thah")
o3o3x3x3x3/2*c - [Grünbaumian]

x3x3x3x3o3/2*c - rocgrax
x3x3x3o3x3/2*c - [Grünbaumian]
x3x3o3x3x3/2*c - (contains "2thah")
x3o3x3x3x3/2*c - [Grünbaumian]
o3x3x3x3x3/2*c - [Grünbaumian]

x3x3x3x3x3/2*c - [Grünbaumian]
x3o3o3o3/2o3*c - "2hix"
   (contains "2pen" as verf)
o3x3o3o3/2o3*c - (contains "2pen")
o3o3x3o3/2o3*c - (contains "2tet")
o3o3o3x3/2o3*c - (contains "2tet")


x3x3o3o3/2o3*c - (contains "2pen")
x3o3x3o3/2o3*c - (contains "2tet")
x3o3o3x3/2o3*c - (contains "2tet")

o3x3x3o3/2o3*c - (contains "2tet")
o3x3o3x3/2o3*c - (contains "2tet")

o3o3x3x3/2o3*c - rawx

o3o3o3x3/2x3*c - [Grünbaumian]

x3x3x3o3/2o3*c - (contains "2tet")
x3x3o3x3/2o3*c - (contains "2tet")

x3o3x3x3/2o3*c - rocrax (old: sircrax)

x3o3o3x3/2x3*c - [Grünbaumian]
o3x3x3x3/2o3*c - rapirx

o3x3o3x3/2x3*c - [Grünbaumian]
o3o3x3x3/2x3*c - [Grünbaumian]

x3x3x3x3/2o3*c - rocgrax

x3x3o3x3/2x3*c - [Grünbaumian]
x3o3x3x3/2x3*c - [Grünbaumian]
o3x3x3x3/2x3*c - [Grünbaumian]

x3x3x3x3/2x3*c - [Grünbaumian]
x3o3o3/2o3/2o3/2*c - "2hix"
   (contains "2pen" as verf)
o3x3o3/2o3/2o3/2*c - (contains "2pen")
o3o3x3/2o3/2o3/2*c - (contains "2tet")
o3o3o3/2x3/2o3/2*c - (contains "2tet")


x3x3o3/2o3/2o3/2*c - (contains "2pen")
x3o3x3/2o3/2o3/2*c - (contains "2tet")
x3o3o3/2x3/2o3/2*c - (contains "2tet")

o3x3x3/2o3/2o3/2*c - (contains "2tet")
o3x3o3/2x3/2o3/2*c - (contains "2tet")

o3o3x3/2x3/2o3/2*c - [Grünbaumian]

o3o3o3/2x3/2x3/2*c - [Grünbaumian]

x3x3x3/2o3/2o3/2*c - (contains "2tet")
x3x3o3/2x3/2o3/2*c - (contains "2tet")

x3o3x3/2x3/2o3/2*c - [Grünbaumian]

x3o3o3/2x3/2x3/2*c - [Grünbaumian]
o3x3x3/2x3/2o3/2*c - [Grünbaumian]

o3x3o3/2x3/2x3/2*c - [Grünbaumian]
o3o3x3/2x3/2x3/2*c - [Grünbaumian]

x3x3x3/2x3/2o3/2*c - [Grünbaumian]

x3x3o3/2x3/2x3/2*c - [Grünbaumian]
x3o3x3/2x3/2x3/2*c - [Grünbaumian]
o3x3x3/2x3/2x3/2*c - [Grünbaumian]

x3x3x3/2x3/2x3/2*c - [Grünbaumian]
o3o3/2o3o3o3/2*c o3o3/2o3o3/2o3*c o3o3/2o3/2o3/2o3/2*c
x3o3/2o3o3o3/2*c - "2hix"
   (contains "2pen" as verf)
o3x3/2o3o3o3/2*c - (contains "2pen")
o3o3/2x3o3o3/2*c - (contains "2tet")
o3o3/2o3x3o3/2*c - (contains "2tet")
o3o3/2o3o3x3/2*c - (contains "2tet")

x3x3/2o3o3o3/2*c - (contains "2pen")
x3o3/2x3o3o3/2*c - (contains "2tet")
x3o3/2o3x3o3/2*c - (contains "2tet")
x3o3/2o3o3x3/2*c - (contains "2tet")
o3x3/2x3o3o3/2*c - [Grünbaumian]
o3x3/2o3x3o3/2*c - (contains "2tet")
o3x3/2o3o3x3/2*c - (contains "2tet")
o3o3/2x3x3o3/2*c - rawx
o3o3/2x3o3x3/2*c - [Grünbaumian]
o3o3/2o3x3x3/2*c - dehad

x3x3/2x3o3o3/2*c - [Grünbaumian]
x3x3/2o3x3o3/2*c - (contains "2tet")
x3x3/2o3o3x3/2*c - (contains "2tet")
x3o3/2x3x3o3/2*c - (contains "2thah")
x3o3/2x3o3x3/2*c - [Grünbaumian]
x3o3/2o3x3x3/2*c - (contains "2firp")
o3x3/2x3x3o3/2*c - [Grünbaumian]
o3x3/2x3o3x3/2*c - [Grünbaumian]
o3x3/2o3x3x3/2*c - (contains "2thah")
o3o3/2x3x3x3/2*c - [Grünbaumian]

x3x3/2x3x3o3/2*c - [Grünbaumian]
x3x3/2x3o3x3/2*c - [Grünbaumian]
x3x3/2o3x3x3/2*c - (contains "2thah")
x3o3/2x3x3x3/2*c - [Grünbaumian]
o3x3/2x3x3x3/2*c - [Grünbaumian]

x3x3/2x3x3x3/2*c - [Grünbaumian]
x3o3/2o3o3/2o3*c - "2hix"
   (contains "2pen" as verf)
o3x3/2o3o3/2o3*c - (contains "2pen")
o3o3/2x3o3/2o3*c - (contains "2tet")
o3o3/2o3x3/2o3*c - (contains "2tet")


x3x3/2o3o3/2o3*c - (contains "2pen")
x3o3/2x3o3/2o3*c - (contains "2tet")
x3o3/2o3x3/2o3*c - (contains "2tet")

o3x3/2x3o3/2o3*c - [Grünbaumian]
o3x3/2o3x3/2o3*c - (contains "2tet")

o3o3/2x3x3/2o3*c - rawx

o3o3/2o3x3/2x3*c - [Grünbaumian]

x3x3/2x3o3/2o3*c - [Grünbaumian]
x3x3/2o3x3/2o3*c - (contains "2tet")

x3o3/2x3x3/2o3*c - (contains "2thah")

x3o3/2o3x3/2x3*c - [Grünbaumian]
o3x3/2x3x3/2o3*c - [Grünbaumian]

o3x3/2o3x3/2x3*c - [Grünbaumian]
o3o3/2x3x3/2x3*c - [Grünbaumian]

x3x3/2x3x3/2o3*c - [Grünbaumian]

x3x3/2o3x3/2x3*c - [Grünbaumian]
x3o3/2x3x3/2x3*c - [Grünbaumian]
o3x3/2x3x3/2x3*c - [Grünbaumian]

x3x3/2x3x3/2x3*c - [Grünbaumian]
x3o3/2o3/2o3/2o3/2*c - "2hix"
   (contains "2pen" as verf)
o3x3/2o3/2o3/2o3/2*c - (contains "2pen")
o3o3/2x3/2o3/2o3/2*c - (contains "2tet")
o3o3/2o3/2x3/2o3/2*c - (contains "2tet")


x3x3/2o3/2o3/2o3/2*c - (contains "2pen")
x3o3/2x3/2o3/2o3/2*c - (contains "2tet")
x3o3/2o3/2x3/2o3/2*c - (contains "2tet")

o3x3/2x3/2o3/2o3/2*c - [Grünbaumian]
o3x3/2o3/2x3/2o3/2*c - (contains "2tet")

o3o3/2x3/2x3/2o3/2*c - [Grünbaumian]

o3o3/2o3/2x3/2x3/2*c - [Grünbaumian]

x3x3/2x3/2o3/2o3/2*c - [Grünbaumian]
x3x3/2o3/2x3/2o3/2*c - (contains "2tet")

x3o3/2x3/2x3/2o3/2*c - [Grünbaumian]

x3o3/2o3/2x3/2x3/2*c - [Grünbaumian]
o3x3/2x3/2x3/2o3/2*c - [Grünbaumian]

o3x3/2o3/2x3/2x3/2*c - [Grünbaumian]
o3o3/2x3/2x3/2x3/2*c - [Grünbaumian]

x3x3/2x3/2x3/2o3/2*c - [Grünbaumian]

x3x3/2o3/2x3/2x3/2*c - [Grünbaumian]
x3o3/2x3/2x3/2x3/2*c - [Grünbaumian]
o3x3/2x3/2x3/2x3/2*c - [Grünbaumian]

x3x3/2x3/2x3/2x3/2*c - [Grünbaumian]
o3/2o3o3o3o3/2*c o3/2o3o3o3/2o3*c o3/2o3o3/2o3/2o3/2*c
x3/2o3o3o3o3/2*c - "2hix"
   (contains "2pen" as verf)
o3/2x3o3o3o3/2*c - (contains "2pen")
o3/2o3x3o3o3/2*c - (contains "2tet")
o3/2o3o3x3o3/2*c - (contains "2tet")
o3/2o3o3o3x3/2*c - (contains "2tet")

x3/2x3o3o3o3/2*c - [Grünbaumian]
x3/2o3x3o3o3/2*c - (contains "2tet")
x3/2o3o3x3o3/2*c - (contains "2tet")
x3/2o3o3o3x3/2*c - (contains "2tet")
o3/2x3x3o3o3/2*c - (contains "2tet")
o3/2x3o3x3o3/2*c - (contains "2tet")
o3/2x3o3o3x3/2*c - (contains "2tet")
o3/2o3x3x3o3/2*c - rawx
o3/2o3x3o3x3/2*c - [Grünbaumian]
o3/2o3o3x3x3/2*c - dehad

x3/2x3x3o3o3/2*c - [Grünbaumian]
x3/2x3o3x3o3/2*c - [Grünbaumian]
x3/2x3o3o3x3/2*c - [Grünbaumian]
x3/2o3x3x3o3/2*c - (contains "2thah")
x3/2o3x3o3x3/2*c - [Grünbaumian]
x3/2o3o3x3x3/2*c - (contains "2firp")
o3/2x3x3x3o3/2*c - rapirx
o3/2x3x3o3x3/2*c - [Grünbaumian]
o3/2x3o3x3x3/2*c - (contains "2thah")
o3/2o3x3x3x3/2*c - [Grünbaumian]

x3/2x3x3x3o3/2*c - [Grünbaumian]
x3/2x3x3o3x3/2*c - [Grünbaumian]
x3/2x3o3x3x3/2*c - [Grünbaumian]
x3/2o3x3x3x3/2*c - [Grünbaumian]
o3/2x3x3x3x3/2*c - [Grünbaumian]

x3/2x3x3x3x3/2*c - [Grünbaumian]
x3/2o3o3o3/2o3*c - "2hix"
   (contains "2pen" as verf)
o3/2x3o3o3/2o3*c - (contains "2pen")
o3/2o3x3o3/2o3*c - (contains "2tet")
o3/2o3o3x3/2o3*c - (contains "2tet")


x3/2x3o3o3/2o3*c - [Grünbaumian]
x3/2o3x3o3/2o3*c - (contains "2tet")
x3/2o3o3x3/2o3*c - (contains "2tet")

o3/2x3x3o3/2o3*c - (contains "2tet")
o3/2x3o3x3/2o3*c - (contains "2tet")

o3/2o3x3x3/2o3*c - rawx

o3/2o3o3x3/2x3*c - [Grünbaumian]

x3/2x3x3o3/2o3*c - [Grünbaumian]
x3/2x3o3x3/2o3*c - [Grünbaumian]

x3/2o3x3x3/2o3*c - (contains "2thah")

x3/2o3o3x3/2x3*c - [Grünbaumian]
o3/2x3x3x3/2o3*c - rapirx

o3/2x3o3x3/2x3*c - [Grünbaumian]
o3/2o3x3x3/2x3*c - [Grünbaumian]

x3/2x3x3x3/2o3*c - [Grünbaumian]

x3/2x3o3x3/2x3*c - [Grünbaumian]
x3/2o3x3x3/2x3*c - [Grünbaumian]
o3/2x3x3x3/2x3*c - [Grünbaumian]

x3/2x3x3x3/2x3*c - [Grünbaumian]
x3/2o3o3/2o3/2o3/2*c - "2hix"
   (contains "2pen" as verf)
o3/2x3o3/2o3/2o3/2*c - (contains "2pen")
o3/2o3x3/2o3/2o3/2*c - (contains "2tet")
o3/2o3o3/2x3/2o3/2*c - (contains "2tet")


x3/2x3o3/2o3/2o3/2*c - [Grünbaumian]
x3/2o3x3/2o3/2o3/2*c - (contains "2tet")
x3/2o3o3/2x3/2o3/2*c - (contains "2tet")

o3/2x3x3/2o3/2o3/2*c - (contains "2tet")
o3/2x3o3/2x3/2o3/2*c - (contains "2tet")

o3/2o3x3/2x3/2o3/2*c - [Grünbaumian]

o3/2o3o3/2x3/2x3/2*c - [Grünbaumian]

x3/2x3x3/2o3/2o3/2*c - [Grünbaumian]
x3/2x3o3/2x3/2o3/2*c - [Grünbaumian]

x3/2o3x3/2x3/2o3/2*c - [Grünbaumian]

x3/2o3o3/2x3/2x3/2*c - [Grünbaumian]
o3/2x3x3/2x3/2o3/2*c - [Grünbaumian]

o3/2x3o3/2x3/2x3/2*c - [Grünbaumian]
o3/2o3x3/2x3/2x3/2*c - [Grünbaumian]

x3/2x3x3/2x3/2o3/2*c - [Grünbaumian]

x3/2x3o3/2x3/2x3/2*c - [Grünbaumian]
x3/2o3x3/2x3/2x3/2*c - [Grünbaumian]
o3/2x3x3/2x3/2x3/2*c - [Grünbaumian]

x3/2x3x3/2x3/2x3/2*c - [Grünbaumian]
o3/2o3/2o3o3o3/2*c o3/2o3/2o3o3/2o3*c o3/2o3/2o3/2o3/2o3/2*c
x3/2o3/2o3o3o3/2*c - "2hix"
   (contains "2pen" as verf)
o3/2x3/2o3o3o3/2*c - (contains "2pen")
o3/2o3/2x3o3o3/2*c - (contains "2tet")
o3/2o3/2o3x3o3/2*c - (contains "2tet")
o3/2o3/2o3o3x3/2*c - (contains "2tet")

x3/2x3/2o3o3o3/2*c - [Grünbaumian]
x3/2o3/2x3o3o3/2*c - (contains "2tet")
x3/2o3/2o3x3o3/2*c - (contains "2tet")
x3/2o3/2o3o3x3/2*c - (contains "2tet")
o3/2x3/2x3o3o3/2*c - [Grünbaumian]
o3/2x3/2o3x3o3/2*c - (contains "2tet")
o3/2x3/2o3o3x3/2*c - (contains "2tet")
o3/2o3/2x3x3o3/2*c - rawx
o3/2o3/2x3o3x3/2*c - [Grünbaumian]
o3/2o3/2o3x3x3/2*c - dehad

x3/2x3/2x3o3o3/2*c - [Grünbaumian]
x3/2x3/2o3x3o3/2*c - [Grünbaumian]
x3/2x3/2o3o3x3/2*c - [Grünbaumian]
x3/2o3/2x3x3o3/2*c - rocrax (old: sircrax)
x3/2o3/2x3o3x3/2*c - [Grünbaumian]
x3/2o3/2o3x3x3/2*c - (contains "2firp")
o3/2x3/2x3x3o3/2*c - [Grünbaumian]
o3/2x3/2x3o3x3/2*c - [Grünbaumian]
o3/2x3/2o3x3x3/2*c - (contains "2thah")
o3/2o3/2x3x3x3/2*c - [Grünbaumian]

x3/2x3/2x3x3o3/2*c - [Grünbaumian]
x3/2x3/2x3o3x3/2*c - [Grünbaumian]
x3/2x3/2o3x3x3/2*c - (contains "2thah")
x3/2o3/2x3x3x3/2*c - [Grünbaumian]
o3/2x3/2x3x3x3/2*c - [Grünbaumian]

x3/2x3/2x3x3x3/2*c - [Grünbaumian]
x3/2o3/2o3o3/2o3*c - "2hix"
   (contains "2pen" as verf)
o3/2x3/2o3o3/2o3*c - (contains "2pen")
o3/2o3/2x3o3/2o3*c - (contains "2tet")
o3/2o3/2o3x3/2o3*c - (contains "2tet")


x3/2x3/2o3o3/2o3*c - [Grünbaumian]
x3/2o3/2x3o3/2o3*c - (contains "2tet")
x3/2o3/2o3x3/2o3*c - (contains "2tet")

o3/2x3/2x3o3/2o3*c - [Grünbaumian]
o3/2x3/2o3x3/2o3*c - (contains "2tet")

o3/2o3/2x3x3/2o3*c - rawx

o3/2o3/2o3x3/2x3*c - [Grünbaumian]

x3/2x3/2x3o3/2o3*c - [Grünbaumian]
x3/2x3/2o3x3/2o3*c - [Grünbaumian]

x3/2o3/2x3x3/2o3*c - rocrax (old: sircrax)

x3/2o3/2o3x3/2x3*c - [Grünbaumian]
o3/2x3/2x3x3/2o3*c - [Grünbaumian]

o3/2x3/2o3x3/2x3*c - [Grünbaumian]
o3/2o3/2x3x3/2x3*c - [Grünbaumian]

x3/2x3/2x3x3/2o3*c - [Grünbaumian]

x3/2x3/2o3x3/2x3*c - [Grünbaumian]
x3/2o3/2x3x3/2x3*c - [Grünbaumian]
o3/2x3/2x3x3/2x3*c - [Grünbaumian]

x3/2x3/2x3x3/2x3*c - [Grünbaumian]
x3/2o3/2o3/2o3/2o3/2*c - "2hix"
   (contains "2pen" as verf)
o3/2x3/2o3/2o3/2o3/2*c - (contains "2pen")
o3/2o3/2x3/2o3/2o3/2*c - (contains "2tet")
o3/2o3/2o3/2x3/2o3/2*c - (contains "2tet")


x3/2x3/2o3/2o3/2o3/2*c - [Grünbaumian]
x3/2o3/2x3/2o3/2o3/2*c - (contains "2tet")
x3/2o3/2o3/2x3/2o3/2*c - (contains "2tet")

o3/2x3/2x3/2o3/2o3/2*c - [Grünbaumian]
o3/2x3/2o3/2x3/2o3/2*c - (contains "2tet")

o3/2o3/2x3/2x3/2o3/2*c - [Grünbaumian]

o3/2o3/2o3/2x3/2x3/2*c - [Grünbaumian]

x3/2x3/2x3/2o3/2o3/2*c - [Grünbaumian]
x3/2x3/2o3/2x3/2o3/2*c - [Grünbaumian]

x3/2o3/2x3/2x3/2o3/2*c - [Grünbaumian]

x3/2o3/2o3/2x3/2x3/2*c - [Grünbaumian]
o3/2x3/2x3/2x3/2o3/2*c - [Grünbaumian]

o3/2x3/2o3/2x3/2x3/2*c - [Grünbaumian]
o3/2o3/2x3/2x3/2x3/2*c - [Grünbaumian]

x3/2x3/2x3/2x3/2o3/2*c - [Grünbaumian]

x3/2x3/2o3/2x3/2x3/2*c - [Grünbaumian]
x3/2o3/2x3/2x3/2x3/2*c - [Grünbaumian]
o3/2x3/2x3/2x3/2x3/2*c - [Grünbaumian]

x3/2x3/2x3/2x3/2x3/2*c - [Grünbaumian]

Penteractic Symmetries – type o3o3o3o4o4/3*c   (up)

o3o3o3o4o4/3*c o3o3o3o4/3o4*c o3o3o3/2o4o4*c o3o3o3/2o4/3o4/3*c
x3o3o3o4o4/3*c - "tac+10hex"
o3x3o3o4o4/3*c - (contains "hex+8oct")
o3o3x3o4o4/3*c - (contains "oct+6{4}")
o3o3o3x4o4/3*c - (contains "oct+6{4}")
o3o3o3o4x4/3*c - (contains "2cube")

x3x3o3o4o4/3*c - (contains "hex+8oct")
x3o3x3o4o4/3*c - (contains "oct+6{4}")
x3o3o3x4o4/3*c - (contains "oct+6{4}")
x3o3o3o4x4/3*c - (contains "2cube")
o3x3x3o4o4/3*c - (contains "oct+6{4}")
o3x3o3x4o4/3*c - (contains "oct+6{4}")
o3x3o3o4x4/3*c - (contains "2cube")
o3o3x3x4o4/3*c - (contains "2cho")
o3o3x3o4x4/3*c - wavinant
o3o3o3x4x4/3*c - sinnont

x3x3x3o4o4/3*c - (contains "oct+6{4}")
x3x3o3x4o4/3*c - (contains "oct+6{4}")
x3x3o3o4x4/3*c - (contains "2cube")
x3o3x3x4o4/3*c - (contains "2cho")
x3o3x3o4x4/3*c - wacbinant
x3o3o3x4x4/3*c - gektabcadont
   (old: giktabacadint)
o3x3x3x4o4/3*c - (contains "2cho")
o3x3x3o4x4/3*c - gibtadin
o3x3o3x4x4/3*c - gakvebidant
   (old: gikkivbadant)
o3o3x3x4x4/3*c - naquitant

x3x3x3x4o4/3*c - (contains "2cho")
x3x3x3o4x4/3*c - gibcotdin
x3x3o3x4x4/3*c - gibacadint
x3o3x3x4x4/3*c - naquiptant
o3x3x3x4x4/3*c - noqrant

x3x3x3x4x4/3*c - noquapant
x3o3o3o4/3o4*c - "tac+10hex"
o3x3o3o4/3o4*c - (contains "hex+8oct")
o3o3x3o4/3o4*c - (contains "oct+6{4}")
o3o3o3x4/3o4*c - (contains "oct+6{4}")
o3o3o3o4/3x4*c - (contains "2cube")

x3x3o3o4/3o4*c - (contains "hex+8oct")
x3o3x3o4/3o4*c - (contains "oct+6{4}")
x3o3o3x4/3o4*c - (contains "oct+6{4}")
x3o3o3o4/3x4*c - (contains "2cube")
o3x3x3o4/3o4*c - (contains "oct+6{4}")
o3x3o3x4/3o4*c - (contains "oct+6{4}")
o3x3o3o4/3x4*c - (contains "2cube")
o3o3x3x4/3o4*c - (contains "2cho")
o3o3x3o4/3x4*c - rawn
o3o3o3x4/3x4*c - ginnont

x3x3x3o4/3o4*c - (contains "oct+6{4}")
x3x3o3x4/3o4*c - (contains "oct+6{4}")
x3x3o3o4/3x4*c - (contains "2cube")
x3o3x3x4/3o4*c - (contains "2cho")
x3o3x3o4/3x4*c - rawcbinant
x3o3o3x4/3x4*c - skatbacadint
o3x3x3x4/3o4*c - (contains "2cho")
o3x3x3o4/3x4*c - sibtadin
o3x3o3x4/3x4*c - skivbadant
o3o3x3x4/3x4*c - nottant

x3x3x3x4/3o4*c - (contains "2cho")
x3x3x3o4/3x4*c - sibcotdin
x3x3o3x4/3x4*c - sibacadint
x3o3x3x4/3x4*c - niptant
o3x3x3x4/3x4*c - nurrant

x3x3x3x4/3x4*c - nippant
x3o3o3/2o4o4*c - "tac+10hex"
o3x3o3/2o4o4*c - (contains "hex+8oct")
o3o3x3/2o4o4*c - (contains "oct+6{4}")
o3o3o3/2x4o4*c - (contains "oct+6{4}")
o3o3o3/2o4x4*c - (contains "2cube")

x3x3o3/2o4o4*c - (contains "hex+8oct")
x3o3x3/2o4o4*c - (contains "oct+6{4}")
x3o3o3/2x4o4*c - (contains "2firp")
x3o3o3/2o4x4*c - (contains "2cube")
o3x3x3/2o4o4*c - (contains "oct+6{4}")
o3x3o3/2x4o4*c - (contains "2thah")
o3x3o3/2o4x4*c - (contains "2cube")
o3o3x3/2x4o4*c - [Grünbaumian]
o3o3x3/2o4x4*c - rawn
o3o3o3/2x4x4*c - sinnont

x3x3x3/2o4o4*c - (contains "oct+6{4}")
x3x3o3/2x4o4*c - (contains "2thah")
x3x3o3/2o4x4*c - (contains "2cube")
x3o3x3/2x4o4*c - [Grünbaumian]
x3o3x3/2o4x4*c - rawcbinant
x3o3o3/2x4x4*c - (contains "2firp")
o3x3x3/2x4o4*c - [Grünbaumian]
o3x3x3/2o4x4*c - sibtadin
o3x3o3/2x4x4*c - (contains "2thah")
o3o3x3/2x4x4*c - [Grünbaumian]

x3x3x3/2x4o4*c - [Grünbaumian]
x3x3x3/2o4x4*c - sibcotdin
x3x3o3/2x4x4*c - (contains "2thah")
x3o3x3/2x4x4*c - [Grünbaumian]
o3x3x3/2x4x4*c - [Grünbaumian]

x3x3x3/2x4x4*c - [Grünbaumian]
x3o3o3/2o4/3o4/3*c - "tac+10hex"
o3x3o3/2o4/3o4/3*c - (contains "hex+8oct")
o3o3x3/2o4/3o4/3*c - (contains "oct+6{4}")
o3o3o3/2x4/3o4/3*c - (contains "oct+6{4}")
o3o3o3/2o4/3x4/3*c - (contains "2cube")

x3x3o3/2o4/3o4/3*c - (contains "hex+8oct")
x3o3x3/2o4/3o4/3*c - (contains "oct+6{4}")
x3o3o3/2x4/3o4/3*c - (contains "2firp")
x3o3o3/2o4/3x4/3*c - (contains "2cube")
o3x3x3/2o4/3o4/3*c - (contains "oct+6{4}")
o3x3o3/2x4/3o4/3*c - (contains "2thah")
o3x3o3/2o4/3x4/3*c - (contains "2cube")
o3o3x3/2x4/3o4/3*c - [Grünbaumian]
o3o3x3/2o4/3x4/3*c - wavinant
o3o3o3/2x4/3x4/3*c - ginnont

x3x3x3/2o4/3o4/3*c - (contains "oct+6{4}")
x3x3o3/2x4/3o4/3*c - (contains "2thah")
x3x3o3/2o4/3x4/3*c - (contains "2cube")
x3o3x3/2x4/3o4/3*c - [Grünbaumian]
x3o3x3/2o4/3x4/3*c - wacbinant
x3o3o3/2x4/3x4/3*c - (contains "2firp")
o3x3x3/2x4/3o4/3*c - [Grünbaumian]
o3x3x3/2o4/3x4/3*c - gibtadin
o3x3o3/2x4/3x4/3*c - (contains "2thah")
o3o3x3/2x4/3x4/3*c - [Grünbaumian]

x3x3x3/2x4/3o4/3*c - [Grünbaumian]
x3x3x3/2o4/3x4/3*c - gibcotdin
x3x3o3/2x4/3x4/3*c - (contains "2thah")
x3o3x3/2x4/3x4/3*c - [Grünbaumian]
o3x3x3/2x4/3x4/3*c - [Grünbaumian]

x3x3x3/2x4/3x4/3*c - [Grünbaumian]
o3o3/2o3o4o4/3*c o3o3/2o3o4/3o4*c o3o3/2o3/2o4o4*c o3o3/2o3/2o4/3o4/3*c
x3o3/2o3o4o4/3*c - "tac+10hex"
o3x3/2o3o4o4/3*c - (contains "hex+8oct")
o3o3/2x3o4o4/3*c - (contains "oct+6{4}")
o3o3/2o3x4o4/3*c - (contains "oct+6{4}")
o3o3/2o3o4x4/3*c - (contains "2cube")

x3x3/2o3o4o4/3*c - (contains "hex+8oct")
x3o3/2x3o4o4/3*c - (contains "2thah")
x3o3/2o3x4o4/3*c - (contains "2firp")
x3o3/2o3o4x4/3*c - (contains "2cube")
o3x3/2x3o4o4/3*c - [Grünbaumian]
o3x3/2o3x4o4/3*c - (contains "2thah")
o3x3/2o3o4x4/3*c - (contains "2cube")
o3o3/2x3x4o4/3*c - (contains "2cho")
o3o3/2x3o4x4/3*c - wavinant
o3o3/2o3x4x4/3*c - sinnont

x3x3/2x3o4o4/3*c - [Grünbaumian]
x3x3/2o3x4o4/3*c - (contains "2thah")
x3x3/2o3o4x4/3*c - (contains "2cube")
x3o3/2x3x4o4/3*c - (contains "2thah")
x3o3/2x3o4x4/3*c - (contains "2thah")
x3o3/2o3x4x4/3*c - (contains "2firp")
o3x3/2x3x4o4/3*c - [Grünbaumian]
o3x3/2x3o4x4/3*c - [Grünbaumian]
o3x3/2o3x4x4/3*c - (contains "2thah")
o3o3/2x3x4x4/3*c - naquitant

x3x3/2x3x4o4/3*c - [Grünbaumian]
x3x3/2x3o4x4/3*c - [Grünbaumian]
x3x3/2o3x4x4/3*c - (contains "2thah")
x3o3/2x3x4x4/3*c - (contains "2thah")
o3x3/2x3x4x4/3*c - [Grünbaumian]

x3x3/2x3x4x4/3*c - [Grünbaumian]
x3o3/2o3o4/3o4*c - "tac+10hex"
o3x3/2o3o4/3o4*c - (contains "hex+8oct")
o3o3/2x3o4/3o4*c - (contains "oct+6{4}")
o3o3/2o3x4/3o4*c - (contains "oct+6{4}")
o3o3/2o3o4/3x4*c - (contains "2cube")

x3x3/2o3o4/3o4*c - (contains "hex+8oct")
x3o3/2x3o4/3o4*c - (contains "2thah")
x3o3/2o3x4/3o4*c - (contains "2firp")
x3o3/2o3o4/3x4*c - (contains "2cube")
o3x3/2x3o4/3o4*c - [Grünbaumian]
o3x3/2o3x4/3o4*c - (contains "2thah")
o3x3/2o3o4/3x4*c - (contains "2cube")
o3o3/2x3x4/3o4*c - (contains "2cho")
o3o3/2x3o4/3x4*c - rawn
o3o3/2o3x4/3x4*c - ginnont

x3x3/2x3o4/3o4*c - [Grünbaumian]
x3x3/2o3x4/3o4*c - (contains "2thah")
x3x3/2o3o4/3x4*c - (contains "2cube")
x3o3/2x3x4/3o4*c - (contains "2thah")
x3o3/2x3o4/3x4*c - (contains "2thah")
x3o3/2o3x4/3x4*c - (contains "2firp")
o3x3/2x3x4/3o4*c - [Grünbaumian]
o3x3/2x3o4/3x4*c - [Grünbaumian]
o3x3/2o3x4/3x4*c - (contains "2thah")
o3o3/2x3x4/3x4*c - nottant

x3x3/2x3x4/3o4*c - [Grünbaumian]
x3x3/2x3o4/3x4*c - [Grünbaumian]
x3x3/2o3x4/3x4*c - (contains "2thah")
x3o3/2x3x4/3x4*c - (contains "2thah")
o3x3/2x3x4/3x4*c - [Grünbaumian]

x3x3/2x3x4/3x4*c - [Grünbaumian]
x3o3/2o3/2o4o4*c - "tac+10hex"
o3x3/2o3/2o4o4*c - (contains "hex+8oct")
o3o3/2x3/2o4o4*c - (contains "oct+6{4}")
o3o3/2o3/2x4o4*c - (contains "oct+6{4}")
o3o3/2o3/2o4x4*c - (contains "2cube")

x3x3/2o3/2o4o4*c - (contains "hex+8oct")
x3o3/2x3/2o4o4*c - (contains "2thah")
x3o3/2o3/2x4o4*c - (contains "oct+6{4}")
x3o3/2o3/2o4x4*c - (contains "2cube")
o3x3/2x3/2o4o4*c - [Grünbaumian]
o3x3/2o3/2x4o4*c - (contains "oct+6{4}")
o3x3/2o3/2o4x4*c - (contains "2cube")
o3o3/2x3/2x4o4*c - [Grünbaumian]
o3o3/2x3/2o4x4*c - rawn
o3o3/2o3/2x4x4*c - sinnont

x3x3/2x3/2o4o4*c - [Grünbaumian]
x3x3/2o3/2x4o4*c - (contains "oct+6{4}")
x3x3/2o3/2o4x4*c - (contains "2cube")
x3o3/2x3/2x4o4*c - [Grünbaumian]
x3o3/2x3/2o4x4*c - (contains "2thah")
x3o3/2o3/2x4x4*c - gektabcadont
   (old: giktabacadint)
o3x3/2x3/2x4o4*c - [Grünbaumian]
o3x3/2x3/2o4x4*c - [Grünbaumian]
o3x3/2o3/2x4x4*c - gakvebidant
   (old: gikkivbadant)
o3o3/2x3/2x4x4*c - [Grünbaumian]

x3x3/2x3/2x4o4*c - [Grünbaumian]
x3x3/2x3/2o4x4*c - [Grünbaumian]
x3x3/2o3/2x4x4*c - gibacadint
x3o3/2x3/2x4x4*c - [Grünbaumian]
o3x3/2x3/2x4x4*c - [Grünbaumian]

x3x3/2x3/2x4x4*c - [Grünbaumian]
x3o3/2o3/2o4/3o4/3*c - "tac+10hex"
o3x3/2o3/2o4/3o4/3*c - (contains "hex+8oct")
o3o3/2x3/2o4/3o4/3*c - (contains "oct+6{4}")
o3o3/2o3/2x4/3o4/3*c - (contains "oct+6{4}")
o3o3/2o3/2o4/3x4/3*c - (contains "2cube")

x3x3/2o3/2o4/3o4/3*c - (contains "hex+8oct")
x3o3/2x3/2o4/3o4/3*c - (contains "2thah")
x3o3/2o3/2x4/3o4/3*c - (contains "oct+6{4}")
x3o3/2o3/2o4/3x4/3*c - (contains "2cube")
o3x3/2x3/2o4/3o4/3*c - [Grünbaumian]
o3x3/2o3/2x4/3o4/3*c - (contains "oct+6{4}")
o3x3/2o3/2o4/3x4/3*c - (contains "2cube")
o3o3/2x3/2x4/3o4/3*c - [Grünbaumian]
o3o3/2x3/2o4/3x4/3*c - wavinant
o3o3/2o3/2x4/3x4/3*c - ginnont

x3x3/2x3/2o4/3o4/3*c - [Grünbaumian]
x3x3/2o3/2x4/3o4/3*c - (contains "oct+6{4}")
x3x3/2o3/2o4/3x4/3*c - (contains "2cube")
x3o3/2x3/2x4/3o4/3*c - [Grünbaumian]
x3o3/2x3/2o4/3x4/3*c - (contains "2thah")
x3o3/2o3/2x4/3x4/3*c - skatbacadint
o3x3/2x3/2x4/3o4/3*c - [Grünbaumian]
o3x3/2x3/2o4/3x4/3*c - [Grünbaumian]
o3x3/2o3/2x4/3x4/3*c - skivbadant
o3o3/2x3/2x4/3x4/3*c - [Grünbaumian]

x3x3/2x3/2x4/3o4/3*c - [Grünbaumian]
x3x3/2x3/2o4/3x4/3*c - [Grünbaumian]
x3x3/2o3/2x4/3x4/3*c - sibacadint
x3o3/2x3/2x4/3x4/3*c - [Grünbaumian]
o3x3/2x3/2x4/3x4/3*c - [Grünbaumian]

x3x3/2x3/2x4/3x4/3*c - [Grünbaumian]
o3/2o3o3o4o4/3*c o3/2o3o3o4/3o4*c o3/2o3o3/2o4o4*c o3/2o3o3/2o4/3o4/3*c
x3/2o3o3o4o4/3*c - "tac+10hex"
o3/2x3o3o4o4/3*c - (contains "hex+8oct")
o3/2o3x3o4o4/3*c - (contains "oct+6{4}")
o3/2o3o3x4o4/3*c - (contains "oct+6{4}")
o3/2o3o3o4x4/3*c - (contains "2cube")

x3/2x3o3o4o4/3*c - [Grünbaumian]
x3/2o3x3o4o4/3*c - (contains "2thah")
x3/2o3o3x4o4/3*c - (contains "2firp")
x3/2o3o3o4x4/3*c - (contains "2cube")
o3/2x3x3o4o4/3*c - (contains "oct+6{4}")
o3/2x3o3x4o4/3*c - (contains "oct+6{4}")
o3/2x3o3o4x4/3*c - (contains "2cube")
o3/2o3x3x4o4/3*c - (contains "2cho")
o3/2o3x3o4x4/3*c - wavinant
o3/2o3o3x4x4/3*c - sinnont

x3/2x3x3o4o4/3*c - [Grünbaumian]
x3/2x3o3x4o4/3*c - [Grünbaumian]
x3/2x3o3o4x4/3*c - [Grünbaumian]
x3/2o3x3x4o4/3*c - (contains "2thah")
x3/2o3x3o4x4/3*c - (contains "2thah")
x3/2o3o3x4x4/3*c - (contains "2firp")
o3/2x3x3x4o4/3*c - (contains "2cho")
o3/2x3x3o4x4/3*c - gibtadin
o3/2x3o3x4x4/3*c - gakvebidant
   (old: gikkivbadant)
o3/2o3x3x4x4/3*c - naquitant

x3/2x3x3x4o4/3*c - [Grünbaumian]
x3/2x3x3o4x4/3*c - [Grünbaumian]
x3/2x3o3x4x4/3*c - [Grünbaumian]
x3/2o3x3x4x4/3*c - (contains "2thah")
o3/2x3x3x4x4/3*c - noqrant

x3/2x3x3x4x4/3*c - [Grünbaumian]
x3/2o3o3o4/3o4*c - "tac+10hex"
o3/2x3o3o4/3o4*c - (contains "hex+8oct")
o3/2o3x3o4/3o4*c - (contains "oct+6{4}")
o3/2o3o3x4/3o4*c - (contains "oct+6{4}")
o3/2o3o3o4/3x4*c - (contains "2cube")

x3/2x3o3o4/3o4*c - [Grünbaumian]
x3/2o3x3o4/3o4*c - (contains "2thah")
x3/2o3o3x4/3o4*c - (contains "2firp")
x3/2o3o3o4/3x4*c - (contains "2cube")
o3/2x3x3o4/3o4*c - (contains "oct+6{4}")
o3/2x3o3x4/3o4*c - (contains "oct+6{4}")
o3/2x3o3o4/3x4*c - (contains "2cube")
o3/2o3x3x4/3o4*c - (contains "2cho")
o3/2o3x3o4/3x4*c - rawn
o3/2o3o3x4/3x4*c - ginnont

x3/2x3x3o4/3o4*c - [Grünbaumian]
x3/2x3o3x4/3o4*c - [Grünbaumian]
x3/2x3o3o4/3x4*c - [Grünbaumian]
x3/2o3x3x4/3o4*c - (contains "2thah")
x3/2o3x3o4/3x4*c - (contains "2thah")
x3/2o3o3x4/3x4*c - (contains "2firp")
o3/2x3x3x4/3o4*c - (contains "2cho")
o3/2x3x3o4/3x4*c - sibtadin
o3/2x3o3x4/3x4*c - skivbadant
o3/2o3x3x4/3x4*c - nottant

x3/2x3x3x4/3o4*c - [Grünbaumian]
x3/2x3x3o4/3x4*c - [Grünbaumian]
x3/2x3o3x4/3x4*c - [Grünbaumian]
x3/2o3x3x4/3x4*c - (contains "2thah")
o3/2x3x3x4/3x4*c - nurrant

x3/2x3x3x4/3x4*c - [Grünbaumian]
x3/2o3o3/2o4o4*c - "tac+10hex"
o3/2x3o3/2o4o4*c - (contains "hex+8oct")
o3/2o3x3/2o4o4*c - (contains "oct+6{4}")
o3/2o3o3/2x4o4*c - (contains "oct+6{4}")
o3/2o3o3/2o4x4*c - (contains "2cube")

x3/2x3o3/2o4o4*c - [Grünbaumian]
x3/2o3x3/2o4o4*c - (contains "2thah")
x3/2o3o3/2x4o4*c - (contains "oct+6{4}")
x3/2o3o3/2o4x4*c - (contains "2cube")
o3/2x3x3/2o4o4*c - (contains "oct+6{4}")
o3/2x3o3/2x4o4*c - (contains "2thah")
o3/2x3o3/2o4x4*c - (contains "2cube")
o3/2o3x3/2x4o4*c - [Grünbaumian]
o3/2o3x3/2o4x4*c - rawn
o3/2o3o3/2x4x4*c - sinnont

x3/2x3x3/2o4o4*c - [Grünbaumian]
x3/2x3o3/2x4o4*c - [Grünbaumian]
x3/2x3o3/2o4x4*c - [Grünbaumian]
x3/2o3x3/2x4o4*c - [Grünbaumian]
x3/2o3x3/2o4x4*c - (contains "2thah")
x3/2o3o3/2x4x4*c - gektabcadont
   (old: giktabacadint)
o3/2x3x3/2x4o4*c - [Grünbaumian]
o3/2x3x3/2o4x4*c - sibtadin
o3/2x3o3/2x4x4*c - (contains "2thah")
o3/2o3x3/2x4x4*c - [Grünbaumian]

x3/2x3x3/2x4o4*c - [Grünbaumian]
x3/2x3x3/2o4x4*c - [Grünbaumian]
x3/2x3o3/2x4x4*c - [Grünbaumian]
x3/2o3x3/2x4x4*c - [Grünbaumian]
o3/2x3x3/2x4x4*c - [Grünbaumian]

x3/2x3x3/2x4x4*c - [Grünbaumian]
x3/2o3o3/2o4/3o4/3*c - "tac+10hex"
o3/2x3o3/2o4/3o4/3*c - (contains "hex+8oct")
o3/2o3x3/2o4/3o4/3*c - (contains "oct+6{4}")
o3/2o3o3/2x4/3o4/3*c - (contains "oct+6{4}")
o3/2o3o3/2o4/3x4/3*c - (contains "2cube")

x3/2x3o3/2o4/3o4/3*c - [Grünbaumian]
x3/2o3x3/2o4/3o4/3*c - (contains "2thah")
x3/2o3o3/2x4/3o4/3*c - (contains "oct+6{4}")
x3/2o3o3/2o4/3x4/3*c - (contains "2cube")
o3/2x3x3/2o4/3o4/3*c - (contains "oct+6{4}")
o3/2x3o3/2x4/3o4/3*c - (contains "2thah")
o3/2x3o3/2o4/3x4/3*c - (contains "2cube")
o3/2o3x3/2x4/3o4/3*c - [Grünbaumian]
o3/2o3x3/2o4/3x4/3*c - wavinant
o3/2o3o3/2x4/3x4/3*c - ginnont

x3/2x3x3/2o4/3o4/3*c - [Grünbaumian]
x3/2x3o3/2x4/3o4/3*c - [Grünbaumian]
x3/2x3o3/2o4/3x4/3*c - [Grünbaumian]
x3/2o3x3/2x4/3o4/3*c - [Grünbaumian]
x3/2o3x3/2o4/3x4/3*c - (contains "2thah")
x3/2o3o3/2x4/3x4/3*c - skatbacadint
o3/2x3x3/2x4/3o4/3*c - [Grünbaumian]
o3/2x3x3/2o4/3x4/3*c - gibtadin
o3/2x3o3/2x4/3x4/3*c - (contains "2thah")
o3/2o3x3/2x4/3x4/3*c - [Grünbaumian]

x3/2x3x3/2x4/3o4/3*c - [Grünbaumian]
x3/2x3x3/2o4/3x4/3*c - [Grünbaumian]
x3/2x3o3/2x4/3x4/3*c - [Grünbaumian]
x3/2o3x3/2x4/3x4/3*c - [Grünbaumian]
o3/2x3x3/2x4/3x4/3*c - [Grünbaumian]

x3/2x3x3/2x4/3x4/3*c - [Grünbaumian]
o3/2o3/2o3o4o4/3*c o3/2o3/2o3o4/3o4*c o3/2o3/2o3/2o4o4*c o3/2o3/2o3/2o4/3o4/3*c
x3/2o3/2o3o4o4/3*c - "tac+10hex"
o3/2x3/2o3o4o4/3*c - (contains "hex+8oct")
o3/2o3/2x3o4o4/3*c - (contains "oct+6{4}")
o3/2o3/2o3x4o4/3*c - (contains "oct+6{4}")
o3/2o3/2o3o4x4/3*c - (contains "2cube")

x3/2x3/2o3o4o4/3*c - [Grünbaumian]
x3/2o3/2x3o4o4/3*c - (contains "oct+6{4}")
x3/2o3/2o3x4o4/3*c - (contains "oct+6{4}")
x3/2o3/2o3o4x4/3*c - (contains "2cube")
o3/2x3/2x3o4o4/3*c - [Grünbaumian]
o3/2x3/2o3x4o4/3*c - (contains "2thah")
o3/2x3/2o3o4x4/3*c - (contains "2cube")
o3/2o3/2x3x4o4/3*c - (contains "2cho")
o3/2o3/2x3o4x4/3*c - wavinant
o3/2o3/2o3x4x4/3*c - sinnont

x3/2x3/2x3o4o4/3*c - [Grünbaumian]
x3/2x3/2o3x4o4/3*c - [Grünbaumian]
x3/2x3/2o3o4x4/3*c - [Grünbaumian]
x3/2o3/2x3x4o4/3*c - (contains "2cho")
x3/2o3/2x3o4x4/3*c - wacbinant
x3/2o3/2o3x4x4/3*c - gektabcadont
   (old: giktabacadint)
o3/2x3/2x3x4o4/3*c - [Grünbaumian]
o3/2x3/2x3o4x4/3*c - [Grünbaumian]
o3/2x3/2o3x4x4/3*c - (contains "2thah")
o3/2o3/2x3x4x4/3*c - naquitant

x3/2x3/2x3x4o4/3*c - [Grünbaumian]
x3/2x3/2x3o4x4/3*c - [Grünbaumian]
x3/2x3/2o3x4x4/3*c - [Grünbaumian]
x3/2o3/2x3x4x4/3*c - naquiptant
o3/2x3/2x3x4x4/3*c - [Grünbaumian]

x3/2x3/2x3x4x4/3*c - [Grünbaumian]
x3/2o3/2o3o4/3o4*c - "tac+10hex"
o3/2x3/2o3o4/3o4*c - (contains "hex+8oct")
o3/2o3/2x3o4/3o4*c - (contains "oct+6{4}")
o3/2o3/2o3x4/3o4*c - (contains "oct+6{4}")
o3/2o3/2o3o4/3x4*c - (contains "2cube")

x3/2x3/2o3o4/3o4*c - [Grünbaumian]
x3/2o3/2x3o4/3o4*c - (contains "oct+6{4}")
x3/2o3/2o3x4/3o4*c - (contains "oct+6{4}")
x3/2o3/2o3o4/3x4*c - (contains "2cube")
o3/2x3/2x3o4/3o4*c - [Grünbaumian]
o3/2x3/2o3x4/3o4*c - (contains "2thah")
o3/2x3/2o3o4/3x4*c - (contains "2cube")
o3/2o3/2x3x4/3o4*c - (contains "2cho")
o3/2o3/2x3o4/3x4*c - rawn
o3/2o3/2o3x4/3x4*c - ginnont

x3/2x3/2x3o4/3o4*c - [Grünbaumian]
x3/2x3/2o3x4/3o4*c - [Grünbaumian]
x3/2x3/2o3o4/3x4*c - [Grünbaumian]
x3/2o3/2x3x4/3o4*c - (contains "2cho")
x3/2o3/2x3o4/3x4*c - rawcbinant
x3/2o3/2o3x4/3x4*c - skatbacadint
o3/2x3/2x3x4/3o4*c - [Grünbaumian]
o3/2x3/2x3o4/3x4*c - [Grünbaumian]
o3/2x3/2o3x4/3x4*c - (contains "2thah")
o3/2o3/2x3x4/3x4*c - nottant

x3/2x3/2x3x4/3o4*c - [Grünbaumian]
x3/2x3/2x3o4/3x4*c - [Grünbaumian]
x3/2x3/2o3x4/3x4*c - [Grünbaumian]
x3/2o3/2x3x4/3x4*c - niptant
o3/2x3/2x3x4/3x4*c - [Grünbaumian]

x3/2x3/2x3x4/3x4*c - [Grünbaumian]
x3/2o3/2o3/2o4o4*c - "tac+10hex"
o3/2x3/2o3/2o4o4*c - (contains "hex+8oct")
o3/2o3/2x3/2o4o4*c - (contains "oct+6{4}")
o3/2o3/2o3/2x4o4*c - (contains "oct+6{4}")
o3/2o3/2o3/2o4x4*c - (contains "2cube")

x3/2x3/2o3/2o4o4*c - [Grünbaumian]
x3/2o3/2x3/2o4o4*c - (contains "oct+6{4}")
x3/2o3/2o3/2x4o4*c - (contains "2firp")
x3/2o3/2o3/2o4x4*c - (contains "2cube")
o3/2x3/2x3/2o4o4*c - [Grünbaumian]
o3/2x3/2o3/2x4o4*c - (contains "oct+6{4}")
o3/2x3/2o3/2o4x4*c - (contains "2cube")
o3/2o3/2x3/2x4o4*c - [Grünbaumian]
o3/2o3/2x3/2o4x4*c - rawn
o3/2o3/2o3/2x4x4*c - sinnont

x3/2x3/2x3/2o4o4*c - [Grünbaumian]
x3/2x3/2o3/2x4o4*c - [Grünbaumian]
x3/2x3/2o3/2o4x4*c - [Grünbaumian]
x3/2o3/2x3/2x4o4*c - [Grünbaumian]
x3/2o3/2x3/2o4x4*c - rawcbinant
x3/2o3/2o3/2x4x4*c - (contains "2firp")
o3/2x3/2x3/2x4o4*c - [Grünbaumian]
o3/2x3/2x3/2o4x4*c - [Grünbaumian]
o3/2x3/2o3/2x4x4*c - gakvebidant
   (old: gikkivbadant)
o3/2o3/2x3/2x4x4*c - [Grünbaumian]

x3/2x3/2x3/2x4o4*c - [Grünbaumian]
x3/2x3/2x3/2o4x4*c - [Grünbaumian]
x3/2x3/2o3/2x4x4*c - [Grünbaumian]
x3/2o3/2x3/2x4x4*c - [Grünbaumian]
o3/2x3/2x3/2x4x4*c - [Grünbaumian]

x3/2x3/2x3/2x4x4*c - [Grünbaumian]
x3/2o3/2o3/2o4/3o4/3*c - "tac+10hex"
o3/2x3/2o3/2o4/3o4/3*c - (contains "hex+8oct")
o3/2o3/2x3/2o4/3o4/3*c - (contains "oct+6{4}")
o3/2o3/2o3/2x4/3o4/3*c - (contains "oct+6{4}")
o3/2o3/2o3/2o4/3x4/3*c - (contains "2cube")

x3/2x3/2o3/2o4/3o4/3*c - [Grünbaumian]
x3/2o3/2x3/2o4/3o4/3*c - (contains "oct+6{4}")
x3/2o3/2o3/2x4/3o4/3*c - (contains "2firp")
x3/2o3/2o3/2o4/3x4/3*c - (contains "2cube")
o3/2x3/2x3/2o4/3o4/3*c - [Grünbaumian]
o3/2x3/2o3/2x4/3o4/3*c - (contains "oct+6{4}")
o3/2x3/2o3/2o4/3x4/3*c - (contains "2cube")
o3/2o3/2x3/2x4/3o4/3*c - [Grünbaumian]
o3/2o3/2x3/2o4/3x4/3*c - wavinant
o3/2o3/2o3/2x4/3x4/3*c - ginnont

x3/2x3/2x3/2o4/3o4/3*c - [Grünbaumian]
x3/2x3/2o3/2x4/3o4/3*c - [Grünbaumian]
x3/2x3/2o3/2o4/3x4/3*c - [Grünbaumian]
x3/2o3/2x3/2x4/3o4/3*c - [Grünbaumian]
x3/2o3/2x3/2o4/3x4/3*c - wacbinant
x3/2o3/2o3/2x4/3x4/3*c - (contains "2firp")
o3/2x3/2x3/2x4/3o4/3*c - [Grünbaumian]
o3/2x3/2x3/2o4/3x4/3*c - [Grünbaumian]
o3/2x3/2o3/2x4/3x4/3*c - skivbadant
o3/2o3/2x3/2x4/3x4/3*c - [Grünbaumian]

x3/2x3/2x3/2x4/3o4/3*c - [Grünbaumian]
x3/2x3/2x3/2o4/3x4/3*c - [Grünbaumian]
x3/2x3/2o3/2x4/3x4/3*c - [Grünbaumian]
x3/2o3/2x3/2x4/3x4/3*c - [Grünbaumian]
o3/2x3/2x3/2x4/3x4/3*c - [Grünbaumian]

x3/2x3/2x3/2x4/3x4/3*c - [Grünbaumian]

Penteractic Symmetries – type o4o3o3o3o3/2*c   (up)

o4o3o3o3o3/2*c o4o3o3o3/2o3*c o4o3o3/2o3/2o3/2*c
x4o3o3o3o3/2*c - "2pent"
   (contains "2pen" as verf)
o4x3o3o3o3/2*c - (contains "2pen")
o4o3x3o3o3/2*c - (contains "2tet")
o4o3o3x3o3/2*c - (contains "2tet")
o4o3o3o3x3/2*c - (contains "2tet")

x4x3o3o3o3/2*c - (contains "2pen")
x4o3x3o3o3/2*c - (contains "2tet")
x4o3o3x3o3/2*c - (contains "2tet")
x4o3o3o3x3/2*c - (contains "2tet")
o4x3x3o3o3/2*c - (contains "2tet")
o4x3o3x3o3/2*c - (contains "2tet")
o4x3o3o3x3/2*c - (contains "2tet")
o4o3x3x3o3/2*c - rawt
o4o3x3o3x3/2*c - [Grünbaumian]
o4o3o3x3x3/2*c - "2rinhit"

x4x3x3o3o3/2*c - (contains "2tet")
x4x3o3x3o3/2*c - (contains "2tet")
x4x3o3o3x3/2*c - (contains "2tet")
x4o3x3x3o3/2*c - sircarn
x4o3x3o3x3/2*c - [Grünbaumian]
x4o3o3x3x3/2*c - katcabadint
o4x3x3x3o3/2*c - repirt
o4x3x3o3x3/2*c - [Grünbaumian]
o4x3o3x3x3/2*c - (contains "2thah")
o4o3x3x3x3/2*c - [Grünbaumian]

x4x3x3x3o3/2*c - srocgrin
x4x3x3o3x3/2*c - [Grünbaumian]
x4x3o3x3x3/2*c - (contains "2thah")
x4o3x3x3x3/2*c - [Grünbaumian]
o4x3x3x3x3/2*c - [Grünbaumian]

x4x3x3x3x3/2*c - [Grünbaumian]
x4o3o3o3/2o3*c - "2pent"
   (contains "2pen" as verf)
o4x3o3o3/2o3*c - (contains "2pen")
o4o3x3o3/2o3*c - (contains "2tet")
o4o3o3x3/2o3*c - (contains "2tet")


x4x3o3o3/2o3*c - (contains "2pen")
x4o3x3o3/2o3*c - (contains "2tet")
x4o3o3x3/2o3*c - (contains "2tet")

o4x3x3o3/2o3*c - (contains "2tet")
o4x3o3x3/2o3*c - (contains "2tet")

o4o3x3x3/2o3*c - rawt

o4o3o3x3/2x3*c - [Grünbaumian]

x4x3x3o3/2o3*c - (contains "2tet")
x4x3o3x3/2o3*c - (contains "2tet")

x4o3x3x3/2o3*c - sircarn

x4o3o3x3/2x3*c - [Grünbaumian]
o4x3x3x3/2o3*c - repirt

o4x3o3x3/2x3*c - [Grünbaumian]
o4o3x3x3/2x3*c - [Grünbaumian]

x4x3x3x3/2o3*c - srocgrin

x4x3o3x3/2x3*c - [Grünbaumian]
x4o3x3x3/2x3*c - [Grünbaumian]
o4x3x3x3/2x3*c - [Grünbaumian]

x4x3x3x3/2x3*c - [Grünbaumian]
x4o3o3/2o3/2o3/2*c - "2pent"
   (contains "2pen" as verf)
o4x3o3/2o3/2o3/2*c - (contains "2pen")
o4o3x3/2o3/2o3/2*c - (contains "2tet")
o4o3o3/2x3/2o3/2*c - (contains "2tet")


x4x3o3/2o3/2o3/2*c - (contains "2pen")
x4o3x3/2o3/2o3/2*c - (contains "2tet")
x4o3o3/2x3/2o3/2*c - (contains "2tet")

o4x3x3/2o3/2o3/2*c - (contains "2tet")
o4x3o3/2x3/2o3/2*c - (contains "2tet")

o4o3x3/2x3/2o3/2*c - [Grünbaumian]

o4o3o3/2x3/2x3/2*c - [Grünbaumian]

x4x3x3/2o3/2o3/2*c - (contains "2tet")
x4x3o3/2x3/2o3/2*c - (contains "2tet")

x4o3x3/2x3/2o3/2*c - [Grünbaumian]

x4o3o3/2x3/2x3/2*c - [Grünbaumian]
o4x3x3/2x3/2o3/2*c - [Grünbaumian]

o4x3o3/2x3/2x3/2*c - [Grünbaumian]
o4o3x3/2x3/2x3/2*c - [Grünbaumian]

x4x3x3/2x3/2o3/2*c - [Grünbaumian]
x4x3x3/2o3/2x3/2*c - [Grünbaumian]
x4x3o3/2x3/2x3/2*c - [Grünbaumian]
x4o3x3/2x3/2x3/2*c - [Grünbaumian]
o4x3x3/2x3/2x3/2*c - [Grünbaumian]

x4x3x3/2x3/2x3/2*c - [Grünbaumian]
o4o3/2o3o3o3/2*c o4o3/2o3o3/2o3*c o4o3/2o3/2o3/2o3/2*c
x4o3/2o3o3o3/2*c - "2pent"
   (contains "2pen" as verf)
o4x3/2o3o3o3/2*c - (contains "2pen")
o4o3/2x3o3o3/2*c - (contains "2tet")
o4o3/2o3x3o3/2*c - (contains "2tet")
o4o3/2o3o3x3/2*c - (contains "2tet")

x4x3/2o3o3o3/2*c - (contains "2pen")
x4o3/2x3o3o3/2*c - (contains "2tet")
x4o3/2o3x3o3/2*c - (contains "2tet")
x4o3/2o3o3x3/2*c - (contains "2tet")
o4x3/2x3o3o3/2*c - [Grünbaumian]
o4x3/2o3x3o3/2*c - (contains "2tet")
o4x3/2o3o3x3/2*c - (contains "2tet")
o4o3/2x3x3o3/2*c - rawt
o4o3/2x3o3x3/2*c - [Grünbaumian]
o4o3/2o3x3x3/2*c - "2rinhit"

x4x3/2x3o3o3/2*c - [Grünbaumian]
x4x3/2o3x3o3/2*c - (contains "2tet")
x4x3/2o3o3x3/2*c - (contains "2tet")
x4o3/2x3x3o3/2*c - qracorn
x4o3/2x3o3x3/2*c - [Grünbaumian]
x4o3/2o3x3x3/2*c - katcabadint
o4x3/2x3x3o3/2*c - [Grünbaumian]
o4x3/2x3o3x3/2*c - [Grünbaumian]
o4x3/2o3x3x3/2*c - (contains "2thah")
o4o3/2x3x3x3/2*c - [Grünbaumian]

x4x3/2x3x3o3/2*c - [Grünbaumian]
x4x3/2x3o3x3/2*c - [Grünbaumian]
x4x3/2o3x3x3/2*c - (contains "2thah")
x4o3/2x3x3x3/2*c - [Grünbaumian]
o4x3/2x3x3x3/2*c - [Grünbaumian]

x4x3/2x3x3x3/2*c - [Grünbaumian]
x4o3/2o3o3/2o3*c - "2pent"
   (contains "2pen" as verf)
o4x3/2o3o3/2o3*c - (contains "2pen")
o4o3/2x3o3/2o3*c - (contains "2tet")
o4o3/2o3x3/2o3*c - (contains "2tet")


x4x3/2o3o3/2o3*c - (contains "2pen")
x4o3/2x3o3/2o3*c - (contains "2tet")
x4o3/2o3x3/2o3*c - (contains "2tet")

o4x3/2x3o3/2o3*c - [Grünbaumian]
o4x3/2o3x3/2o3*c - (contains "2tet")

o4o3/2x3x3/2o3*c - rawt

o4o3/2o3x3/2x3*c - [Grünbaumian]

x4x3/2x3o3/2o3*c - [Grünbaumian]
x4x3/2o3x3/2o3*c - (contains "2tet")

x4o3/2x3x3/2o3*c - qracorn

x4o3/2o3x3/2x3*c - [Grünbaumian]
o4x3/2x3x3/2o3*c - [Grünbaumian]

o4x3/2o3x3/2x3*c - [Grünbaumian]
o4o3/2x3x3/2x3*c - [Grünbaumian]

x4x3/2x3x3/2o3*c - [Grünbaumian]

x4x3/2o3x3/2x3*c - [Grünbaumian]
x4o3/2x3x3/2x3*c - [Grünbaumian]
o4x3/2x3x3/2x3*c - [Grünbaumian]

x4x3/2x3x3/2x3*c - [Grünbaumian]
x4o3/2o3/2o3/2o3/2*c - "2pent"
   (contains "2pen" as verf)
o4x3/2o3/2o3/2o3/2*c - (contains "2pen")
o4o3/2x3/2o3/2o3/2*c - (contains "2tet")
o4o3/2o3/2x3/2o3/2*c - (contains "2tet")


x4x3/2o3/2o3/2o3/2*c - (contains "2pen")
x4o3/2x3/2o3/2o3/2*c - (contains "2tet")
x4o3/2o3/2x3/2o3/2*c - (contains "2tet")

o4x3/2x3/2o3/2o3/2*c - [Grünbaumian]
o4x3/2o3/2x3/2o3/2*c - (contains "2tet")

o4o3/2x3/2x3/2o3/2*c - [Grünbaumian]

o4o3/2o3/2x3/2x3/2*c - [Grünbaumian]

x4x3/2x3/2o3/2o3/2*c - [Grünbaumian]
x4x3/2o3/2x3/2o3/2*c - (contains "2tet")

x4o3/2x3/2x3/2o3/2*c - [Grünbaumian]

x4o3/2o3/2x3/2x3/2*c - [Grünbaumian]
o4x3/2x3/2x3/2o3/2*c - [Grünbaumian]

o4x3/2o3/2x3/2x3/2*c - [Grünbaumian]
o4o3/2x3/2x3/2x3/2*c - [Grünbaumian]

x4x3/2x3/2x3/2o3/2*c - [Grünbaumian]

x4x3/2o3/2x3/2x3/2*c - [Grünbaumian]
x4o3/2x3/2x3/2x3/2*c - [Grünbaumian]
o4x3/2x3/2x3/2x3/2*c - [Grünbaumian]

x4x3/2x3/2x3/2x3/2*c - [Grünbaumian]
o4/3o3o3o3o3/2*c o4/3o3o3o3/2o3*c o4/3o3o3/2o3/2o3/2*c
x4/3o3o3o3o3/2*c - "2pent"
   (contains "2pen" as verf)
o4/3x3o3o3o3/2*c - (contains "2pen")
o4/3o3x3o3o3/2*c - (contains "2tet")
o4/3o3o3x3o3/2*c - (contains "2tet")
o4/3o3o3o3x3/2*c - (contains "2tet")

x4/3x3o3o3o3/2*c - (contains "2pen")
x4/3o3x3o3o3/2*c - (contains "2tet")
x4/3o3o3x3o3/2*c - (contains "2tet")
x4/3o3o3o3x3/2*c - (contains "2tet")
o4/3x3x3o3o3/2*c - (contains "2tet")
o4/3x3o3x3o3/2*c - (contains "2tet")
o4/3x3o3o3x3/2*c - (contains "2tet")
o4/3o3x3x3o3/2*c - rawt
o4/3o3x3o3x3/2*c - [Grünbaumian]
o4/3o3o3x3x3/2*c - "2rinhit"

x4/3x3x3o3o3/2*c - (contains "2tet")
x4/3x3o3x3o3/2*c - (contains "2tet")
x4/3x3o3o3x3/2*c - (contains "2tet")
x4/3o3x3x3o3/2*c - qracorn
x4/3o3x3o3x3/2*c - [Grünbaumian]
x4/3o3o3x3x3/2*c - katcabadint
o4/3x3x3x3o3/2*c - repirt
o4/3x3x3o3x3/2*c - [Grünbaumian]
o4/3x3o3x3x3/2*c - (contains "2thah")
o4/3o3x3x3x3/2*c - [Grünbaumian]

x4/3x3x3x3o3/2*c - gorcgrin
x4/3x3x3o3x3/2*c - [Grünbaumian]
x4/3x3o3x3x3/2*c - (contains "2thah")
x4/3o3x3x3x3/2*c - [Grünbaumian]
o4/3x3x3x3x3/2*c - [Grünbaumian]

x4/3x3x3x3x3/2*c - [Grünbaumian]
x4/3o3o3o3/2o3*c - "2pent"
   (contains "2pen" as verf)
o4/3x3o3o3/2o3*c - (contains "2pen")
o4/3o3x3o3/2o3*c - (contains "2tet")
o4/3o3o3x3/2o3*c - (contains "2tet")


x4/3x3o3o3/2o3*c - (contains "2pen")
x4/3o3x3o3/2o3*c - (contains "2tet")
x4/3o3o3x3/2o3*c - (contains "2tet")

o4/3x3x3o3/2o3*c - (contains "2tet")
o4/3x3o3x3/2o3*c - (contains "2tet")

o4/3o3x3x3/2o3*c - rawt

o4/3o3o3x3/2x3*c - [Grünbaumian]

x4/3x3x3o3/2o3*c - (contains "2tet")
x4/3x3o3x3/2o3*c - (contains "2tet")

x4/3o3x3x3/2o3*c - qracorn

x4/3o3o3x3/2x3*c - [Grünbaumian]
o4/3x3x3x3/2o3*c - repirt

o4/3x3o3x3/2x3*c - [Grünbaumian]
o4/3o3x3x3/2x3*c - [Grünbaumian]

x4/3x3x3x3/2o3*c - gorcgrin

x4/3x3o3x3/2x3*c - [Grünbaumian]
x4/3o3x3x3/2x3*c - [Grünbaumian]
o4/3x3x3x3/2x3*c - [Grünbaumian]

x4/3x3x3x3/2x3*c - [Grünbaumian]
x4/3o3o3/2o3/2o3/2*c - "2pent"
   (contains "2pen" as verf)
o4/3x3o3/2o3/2o3/2*c - (contains "2pen")
o4/3o3x3/2o3/2o3/2*c - (contains "2tet")
o4/3o3o3/2x3/2o3/2*c - (contains "2tet")


x4/3x3o3/2o3/2o3/2*c - (contains "2pen")
x4/3o3x3/2o3/2o3/2*c - (contains "2tet")
x4/3o3o3/2x3/2o3/2*c - (contains "2tet")

o4/3x3x3/2o3/2o3/2*c - (contains "2tet")
o4/3x3o3/2x3/2o3/2*c - (contains "2tet")

o4/3o3x3/2x3/2o3/2*c - [Grünbaumian]

o4/3o3o3/2x3/2x3/2*c - [Grünbaumian]

x4/3x3x3/2o3/2o3/2*c - (contains "2tet")
x4/3x3o3/2x3/2o3/2*c - (contains "2tet")

x4/3o3x3/2x3/2o3/2*c - [Grünbaumian]

x4/3o3o3/2x3/2x3/2*c - [Grünbaumian]
o4/3x3x3/2x3/2o3/2*c - [Grünbaumian]

o4/3x3o3/2x3/2x3/2*c - [Grünbaumian]
o4/3o3x3/2x3/2x3/2*c - [Grünbaumian]

x4/3x3x3/2x3/2o3/2*c - [Grünbaumian]

x4/3x3o3/2x3/2x3/2*c - [Grünbaumian]
x4/3o3x3/2x3/2x3/2*c - [Grünbaumian]
o4/3x3x3/2x3/2x3/2*c - [Grünbaumian]

x4/3x3x3/2x3/2x3/2*c - [Grünbaumian]
o4/3o3/2o3o3o3/2*c o4/3o3/2o3o3/2o3*c o4/3o3/2o3/2o3/2o3/2*c
x4/3o3/2o3o3o3/2*c - "2pent"
   (contains "2pen" as verf)
o4/3x3/2o3o3o3/2*c - (contains "2pen")
o4/3o3/2x3o3o3/2*c - (contains "2tet")
o4/3o3/2o3x3o3/2*c - (contains "2tet")
o4/3o3/2o3o3x3/2*c - (contains "2tet")

x4/3x3/2o3o3o3/2*c - (contains "2pen")
x4/3o3/2x3o3o3/2*c - (contains "2tet")
x4/3o3/2o3x3o3/2*c - (contains "2tet")
x4/3o3/2o3o3x3/2*c - (contains "2tet")
o4/3x3/2x3o3o3/2*c - [Grünbaumian]
o4/3x3/2o3x3o3/2*c - (contains "2tet")
o4/3x3/2o3o3x3/2*c - (contains "2tet")
o4/3o3/2x3x3o3/2*c - rawt
o4/3o3/2x3o3x3/2*c - [Grünbaumian]
o4/3o3/2o3x3x3/2*c - "2rinhit"

x4/3x3/2x3o3o3/2*c - [Grünbaumian]
x4/3x3/2o3x3o3/2*c - (contains "2tet")
x4/3x3/2o3o3x3/2*c - (contains "2tet")
x4/3o3/2x3x3o3/2*c - sircarn
x4/3o3/2x3o3x3/2*c - [Grünbaumian]
x4/3o3/2o3x3x3/2*c - katcabadint
o4/3x3/2x3x3o3/2*c - [Grünbaumian]
o4/3x3/2x3o3x3/2*c - [Grünbaumian]
o4/3x3/2o3x3x3/2*c - (contains "2thah")
o4/3o3/2x3x3x3/2*c - [Grünbaumian]

x4/3x3/2x3x3o3/2*c - [Grünbaumian]
x4/3x3/2x3o3x3/2*c - [Grünbaumian]
x4/3x3/2o3x3x3/2*c - (contains "2thah")
x4/3o3/2x3x3x3/2*c - [Grünbaumian]
o4/3x3/2x3x3x3/2*c - [Grünbaumian]

x4/3x3/2x3x3x3/2*c - [Grünbaumian]
x4/3o3/2o3o3/2o3*c - "2pent"
   (contains "2pen" as verf)
o4/3x3/2o3o3/2o3*c - (contains "2pen")
o4/3o3/2x3o3/2o3*c - (contains "2tet")
o4/3o3/2o3x3/2o3*c - (contains "2tet")


x4/3x3/2o3o3/2o3*c - (contains "2pen")
x4/3o3/2x3o3/2o3*c - (contains "2tet")
x4/3o3/2o3x3/2o3*c - (contains "2tet")

o4/3x3/2x3o3/2o3*c - [Grünbaumian]
o4/3x3/2o3x3/2o3*c - (contains "2tet")

o4/3o3/2x3x3/2o3*c - rawt

o4/3o3/2o3x3/2x3*c - [Grünbaumian]

x4/3x3/2x3o3/2o3*c - [Grünbaumian]
x4/3x3/2o3x3/2o3*c - (contains "2tet")

x4/3o3/2x3x3/2o3*c - sircarn

x4/3o3/2o3x3/2x3*c - [Grünbaumian]
o4/3x3/2x3x3/2o3*c - [Grünbaumian]

o4/3x3/2o3x3/2x3*c - [Grünbaumian]
o4/3o3/2x3x3/2x3*c - [Grünbaumian]

x4/3x3/2x3x3/2o3*c - [Grünbaumian]

x4/3x3/2o3x3/2x3*c - [Grünbaumian]
x4/3o3/2x3x3/2x3*c - [Grünbaumian]
o4/3x3/2x3x3/2x3*c - [Grünbaumian]

x4/3x3/2x3x3/2x3*c - [Grünbaumian]
x4/3o3/2o3/2o3/2o3/2*c - "2pent"
   (contains "2pen" as verf)
o4/3x3/2o3/2o3/2o3/2*c - (contains "2pen")
o4/3o3/2x3/2o3/2o3/2*c - (contains "2tet")
o4/3o3/2o3/2x3/2o3/2*c - (contains "2tet")


x4/3x3/2o3/2o3/2o3/2*c - (contains "2pen")
x4/3o3/2x3/2o3/2o3/2*c - (contains "2tet")
x4/3o3/2o3/2x3/2o3/2*c - (contains "2tet")

o4/3x3/2x3/2o3/2o3/2*c - [Grünbaumian]
o4/3x3/2o3/2x3/2o3/2*c - (contains "2tet")

o4/3o3/2x3/2x3/2o3/2*c - [Grünbaumian]

o4/3o3/2o3/2x3/2x3/2*c - [Grünbaumian]

x4/3x3/2x3/2o3/2o3/2*c - [Grünbaumian]
x4/3x3/2o3/2x3/2o3/2*c - (contains "2tet")

x4/3o3/2x3/2x3/2o3/2*c - [Grünbaumian]

x4/3o3/2o3/2x3/2x3/2*c - [Grünbaumian]
o4/3x3/2x3/2x3/2o3/2*c - [Grünbaumian]

o4/3x3/2o3/2x3/2x3/2*c - [Grünbaumian]
o4/3o3/2x3/2x3/2x3/2*c - [Grünbaumian]

x4/3x3/2x3/2x3/2o3/2*c - [Grünbaumian]

x4/3x3/2o3/2x3/2x3/2*c - [Grünbaumian]
x4/3o3/2x3/2x3/2x3/2*c - [Grünbaumian]
o4/3x3/2x3/2x3/2x3/2*c - [Grünbaumian]

x4/3x3/2x3/2x3/2x3/2*c - [Grünbaumian]

Demipenteractic Symmetries – type o3o3o3o3o3/2*b   (up)

o3o3o3o3o3/2*b o3o3o3o3/2o3*b o3o3o3/2o3/2o3/2*b o3o3/2o3o3/2o3/2*b
x3o3o3o3o3/2*b - "2hehad"
   (contains "2tho" as verf)
o3x3o3o3o3/2*b - "2rhohid"
   (contains "2tho")
o3o3x3o3o3/2*b - (contains "2tho")
o3o3o3x3o3/2*b - (contains "2tho")
o3o3o3o3x3/2*b - (contains "2tho")

x3x3o3o3o3/2*b - "2thehid"
   (contains "2tho")
x3o3x3o3o3/2*b - (contains "2tho")
x3o3o3x3o3/2*b - (contains "2tho")
x3o3o3o3x3/2*b - (contains "2tho")
o3x3x3o3o3/2*b - quafdidoh
o3x3o3x3o3/2*b - (contains "2ratho")
o3x3o3o3x3/2*b - [Grünbaumian]
o3o3x3x3o3/2*b - fedandoh
o3o3x3o3x3/2*b - "2brohahd"
   (contains "2ratho")
o3o3o3x3x3/2*b - fedandoh

x3x3x3o3o3/2*b - ripperhin
x3x3o3x3o3/2*b - (contains "2ratho")
x3x3o3o3x3/2*b - [Grünbaumian]
x3o3x3x3o3/2*b - (contains "2firp")
x3o3x3o3x3/2*b - (contains "2ratho")
x3o3o3x3x3/2*b - (contains "2thah")
o3x3x3x3o3/2*b - (contains "2titho")
o3x3x3o3x3/2*b - [Grünbaumian]
o3x3o3x3x3/2*b - [Grünbaumian]
o3o3x3x3x3/2*b - (contains "2titho")

x3x3x3x3o3/2*b - (contains "2titho")
x3x3x3o3x3/2*b - [Grünbaumian]
x3x3o3x3x3/2*b - [Grünbaumian]
x3o3x3x3x3/2*b - (contains "2titho")
o3x3x3x3x3/2*b - [Grünbaumian]

x3x3x3x3x3/2*b - [Grünbaumian]
x3o3o3o3/2o3*b - "2hehad"
   (contains "2tho" as verf)
o3x3o3o3/2o3*b - "2rhohid"
   (contains "2tho")
o3o3x3o3/2o3*b - (contains "2tho")
o3o3o3x3/2o3*b - (contains "2tho")
o3o3o3o3/2x3*b - (contains "2tho")

x3x3o3o3/2o3*b - "2thehid"
   (contains "2tho")
x3o3x3o3/2o3*b - (contains "2tho")
x3o3o3x3/2o3*b - (contains "2tho")
x3o3o3o3/2x3*b - (contains "2tho")
o3x3x3o3/2o3*b - quafdidoh
o3x3o3x3/2o3*b - (contains "2ratho")
o3x3o3o3/2x3*b - quafdidoh
o3o3x3x3/2o3*b - fedandoh
o3o3x3o3/2x3*b - "2brohahd"
   (contains "2ratho")
o3o3o3x3/2x3*b - [Grünbaumian]

x3x3x3o3/2o3*b - ripperhin
x3x3o3x3/2o3*b - (contains "2ratho")
x3x3o3o3/2x3*b - ripperhin
x3o3x3x3/2o3*b - (contains "2firp")
x3o3x3o3/2x3*b - "2howoh"
   (contains "2ratho")
x3o3o3x3/2x3*b - [Grünbaumian]
o3x3x3x3/2o3*b - (contains "2titho")
o3x3x3o3/2x3*b - "2bathehad"
   (contains "2titho")
o3x3o3x3/2x3*b - [Grünbaumian]
o3o3x3x3/2x3*b - [Grünbaumian]

x3x3x3x3/2o3*b - (contains "2titho")
x3x3x3o3/2x3*b - "2grahehad"
   (contains "2titho")
x3x3o3x3/2x3*b - [Grünbaumian]
x3o3x3x3/2x3*b - [Grünbaumian]
o3x3x3x3/2x3*b - [Grünbaumian]

x3x3x3x3/2x3*b - [Grünbaumian]
x3o3o3/2o3/2o3/2*b - "2hehad"
   (contains "2tho" as verf)
o3x3o3/2o3/2o3/2*b - "2rhohid"
   (contains "2tho")
o3o3x3/2o3/2o3/2*b - (contains "2tho")
o3o3o3/2x3/2o3/2*b - (contains "2tho")
o3o3o3/2o3/2x3/2*b - (contains "2tho")

x3x3o3/2o3/2o3/2*b - "2thehid"
   (contains "2tho")
x3o3x3/2o3/2o3/2*b - (contains "2tho")
x3o3o3/2x3/2o3/2*b - (contains "2tho")
x3o3o3/2o3/2x3/2*b - (contains "2tho")
o3x3x3/2o3/2o3/2*b - quafdidoh
o3x3o3/2x3/2o3/2*b - (contains "2ratho")
o3x3o3/2o3/2x3/2*b - quafdidoh
o3o3x3/2x3/2o3/2*b - [Grünbaumian]
o3o3x3/2o3/2x3/2*b - "2brohahd"
   (contains "2ratho")
o3o3o3/2x3/2x3/2*b - [Grünbaumian]

x3x3x3/2o3/2o3/2*b - ripperhin
x3x3o3/2x3/2o3/2*b - (contains "2ratho")
x3x3o3/2o3/2x3/2*b - [Grünbaumian]
x3o3x3/2x3/2o3/2*b - [Grünbaumian]
x3o3x3/2o3/2x3/2*b - (contains "2ratho")
x3o3o3/2x3/2x3/2*b - [Grünbaumian]
o3x3x3/2x3/2o3/2*b - [Grünbaumian]
o3x3x3/2o3/2x3/2*b - [Grünbaumian]
o3x3o3/2x3/2x3/2*b - [Grünbaumian]
o3o3x3/2x3/2x3/2*b - [Grünbaumian]

x3x3x3/2x3/2o3/2*b - [Grünbaumian]
x3x3x3/2o3/2x3/2*b - [Grünbaumian]
x3x3o3/2x3/2x3/2*b - [Grünbaumian]
x3o3x3/2x3/2x3/2*b - [Grünbaumian]
o3x3x3/2x3/2x3/2*b - [Grünbaumian]

x3x3x3/2x3/2x3/2*b - [Grünbaumian]
x3o3/2o3o3/2o3/2*b - "2hehad"
   (contains "2tho" as verf)
o3x3/2o3o3/2o3/2*b - "2rhohid"
   (contains "2tho")
o3o3/2x3o3/2o3/2*b - (contains "2tho")
o3o3/2o3x3/2o3/2*b - (contains "2tho")
o3o3/2o3o3/2x3/2*b - (contains "2tho")

x3x3/2o3o3/2o3/2*b - "2thehid"
   (contains "2tho")
x3o3/2x3o3/2o3/2*b - (contains "2tho")
x3o3/2o3x3/2o3/2*b - (contains "2tho")
x3o3/2o3o3/2x3/2*b - (contains "2tho")
o3x3/2x3o3/2o3/2*b - [Grünbaumian]
o3x3/2o3x3/2o3/2*b - (contains "2ratho")
o3x3/2o3o3/2x3/2*b - [Grünbaumian]
o3o3/2x3x3/2o3/2*b - fedandoh
o3o3/2x3o3/2x3/2*b - "2brohahd"
   (contains "2ratho")
o3o3/2o3x3/2x3/2*b - [Grünbaumian]

x3x3/2x3o3/2o3/2*b - [Grünbaumian]
x3x3/2o3x3/2o3/2*b - (contains "2ratho")
x3x3/2o3o3/2x3/2*b - [Grünbaumian]
x3o3/2x3x3/2o3/2*b - (contains "2thah")
x3o3/2x3o3/2x3/2*b - (contains "2ratho")
x3o3/2o3x3/2x3/2*b - [Grünbaumian]
o3x3/2x3x3/2o3/2*b - [Grünbaumian]
o3x3/2x3o3/2x3/2*b - [Grünbaumian]
o3x3/2o3x3/2x3/2*b - [Grünbaumian]
o3o3/2x3x3/2x3/2*b - [Grünbaumian]

x3x3/2x3x3/2o3/2*b - [Grünbaumian]
x3x3/2x3o3/2x3/2*b - [Grünbaumian]
x3x3/2o3x3/2x3/2*b - [Grünbaumian]
x3o3/2x3x3/2x3/2*b - [Grünbaumian]
o3x3/2x3x3/2x3/2*b - [Grünbaumian]

x3x3/2x3x3/2x3/2*b - [Grünbaumian]
o3/2o3o3o3o3/2*b o3/2o3o3o3/2o3*b o3/2o3o3/2o3/2o3/2*b o3/2o3/2o3o3/2o3/2*b
x3/2o3o3o3o3/2*b - "2hehad"
   (contains "2tho" as verf)
o3/2x3o3o3o3/2*b - "2rhohid"
   (contains "2tho")
o3/2o3x3o3o3/2*b - (contains "2tho")
o3/2o3o3x3o3/2*b - (contains "2tho")
o3/2o3o3o3x3/2*b - (contains "2tho")

x3/2x3o3o3o3/2*b - [Grünbaumian]
x3/2o3x3o3o3/2*b - (contains "2tho")
x3/2o3o3x3o3/2*b - (contains "2tho")
x3/2o3o3o3x3/2*b - (contains "2tho")
o3/2x3x3o3o3/2*b - quafdidoh
o3/2x3o3x3o3/2*b - (contains "2ratho")
o3/2x3o3o3x3/2*b - [Grünbaumian]
o3/2o3x3x3o3/2*b - fedandoh
o3/2o3x3o3x3/2*b - "2brohahd"
   (contains "2ratho")
o3/2o3o3x3x3/2*b - fedandoh

x3/2x3x3o3o3/2*b - [Grünbaumian]
x3/2x3o3x3o3/2*b - [Grünbaumian]
x3/2x3o3o3x3/2*b - [Grünbaumian]
x3/2o3x3x3o3/2*b - (contains "2thah")
x3/2o3x3o3x3/2*b - (contains "2ratho")
x3/2o3o3x3x3/2*b - (contains "2firp")
o3/2x3x3x3o3/2*b - (contains "2titho")
o3/2x3x3o3x3/2*b - [Grünbaumian]
o3/2x3o3x3x3/2*b - [Grünbaumian]
o3/2o3x3x3x3/2*b - (contains "2titho")

x3/2x3x3x3o3/2*b - [Grünbaumian]
x3/2x3x3o3x3/2*b - [Grünbaumian]
x3/2x3o3x3x3/2*b - [Grünbaumian]
x3/2o3x3x3x3/2*b - (contains "2titho")
o3/2x3x3x3x3/2*b - [Grünbaumian]

x3/2x3x3x3x3/2*b - [Grünbaumian]
x3/2o3o3o3/2o3*b - "2hehad"
   (contains "2tho" as verf)
o3/2x3o3o3/2o3*b - "2rhohid"
   (contains "2tho")
o3/2o3x3o3/2o3*b - (contains "2tho")
o3/2o3o3x3/2o3*b - (contains "2tho")
o3/2o3o3o3/2x3*b - (contains "2tho")

x3/2x3o3o3/2o3*b - [Grünbaumian]
x3/2o3x3o3/2o3*b - (contains "2tho")
x3/2o3o3x3/2o3*b - (contains "2tho")
x3/2o3o3o3/2x3*b - (contains "2tho")
o3/2x3x3o3/2o3*b - quafdidoh
o3/2x3o3x3/2o3*b - (contains "2ratho")
o3/2x3o3o3/2x3*b - quafdidoh
o3/2o3x3x3/2o3*b - fedandoh
o3/2o3x3o3/2x3*b - "2brohahd"
   (contains "2ratho")
o3/2o3o3x3/2x3*b - [Grünbaumian]

x3/2x3x3o3/2o3*b - [Grünbaumian]
x3/2x3o3x3/2o3*b - [Grünbaumian]
x3/2x3o3o3/2x3*b - [Grünbaumian]
x3/2o3x3x3/2o3*b - (contains "2thah")
x3/2o3x3o3/2x3*b - (contains "2ratho")
x3/2o3o3x3/2x3*b - [Grünbaumian]
o3/2x3x3x3/2o3*b - (contains "2titho")
o3/2x3x3o3/2x3*b - "2bathehad"
   (contains "2titho")
o3/2x3o3x3/2x3*b - [Grünbaumian]
o3/2o3x3x3/2x3*b - [Grünbaumian]

x3/2x3x3x3/2o3*b - [Grünbaumian]
x3/2x3x3o3/2x3*b - [Grünbaumian]
x3/2x3o3x3/2x3*b - [Grünbaumian]
x3/2o3x3x3/2x3*b - [Grünbaumian]
o3/2x3x3x3/2x3*b - [Grünbaumian]

x3/2x3x3x3/2x3*b - [Grünbaumian]
x3/2o3o3/2o3/2o3/2*b - "2hehad"
   (contains "2tho" as verf)
o3/2x3o3/2o3/2o3/2*b - "2rhohid"
   (contains "2tho")
o3/2o3x3/2o3/2o3/2*b - (contains "2tho")
o3/2o3o3/2x3/2o3/2*b - (contains "2tho")
o3/2o3o3/2o3/2x3/2*b - (contains "2tho")

x3/2x3o3/2o3/2o3/2*b - [Grünbaumian]
x3/2o3x3/2o3/2o3/2*b - (contains "2tho")
x3/2o3o3/2x3/2o3/2*b - (contains "2tho")
x3/2o3o3/2o3/2x3/2*b - (contains "2tho")
o3/2x3x3/2o3/2o3/2*b - quafdidoh
o3/2x3o3/2x3/2o3/2*b - (contains "2ratho")
o3/2x3o3/2o3/2x3/2*b - [Grünbaumian]
o3/2o3x3/2x3/2o3/2*b - [Grünbaumian]
o3/2o3x3/2o3/2x3/2*b - "2brohahd"
   (contains "2ratho")
o3/2o3o3/2x3/2x3/2*b - [Grünbaumian]

x3/2x3x3/2o3/2o3/2*b - [Grünbaumian]
x3/2x3o3/2x3/2o3/2*b - [Grünbaumian]
x3/2x3o3/2o3/2x3/2*b - [Grünbaumian]
x3/2o3x3/2x3/2o3/2*b - [Grünbaumian]
x3/2o3x3/2o3/2x3/2*b - (contains "2ratho")
x3/2o3o3/2x3/2x3/2*b - [Grünbaumian]
o3/2x3x3/2x3/2o3/2*b - [Grünbaumian]
o3/2x3x3/2o3/2x3/2*b - [Grünbaumian]
o3/2x3o3/2x3/2x3/2*b - [Grünbaumian]
o3/2o3x3/2x3/2x3/2*b - [Grünbaumian]

x3/2x3x3/2x3/2o3/2*b - [Grünbaumian]
x3/2x3x3/2o3/2x3/2*b - [Grünbaumian]
x3/2x3o3/2x3/2x3/2*b - [Grünbaumian]
x3/2o3x3/2x3/2x3/2*b - [Grünbaumian]
o3/2x3x3/2x3/2x3/2*b - [Grünbaumian]

x3/2x3x3/2x3/2x3/2*b - [Grünbaumian]
x3/2o3/2o3o3/2o3/2*b - "2hehad"
   (contains "2tho" as verf)
o3/2x3/2o3o3/2o3/2*b - "2rhohid"
   (contains "2tho")
o3/2o3/2x3o3/2o3/2*b - (contains "2tho")
o3/2o3/2o3x3/2o3/2*b - (contains "2tho")
o3/2o3/2o3o3/2x3/2*b - (contains "2tho")

x3/2x3/2o3o3/2o3/2*b - [Grünbaumian]
x3/2o3/2x3o3/2o3/2*b - (contains "2tho")
x3/2o3/2o3x3/2o3/2*b - (contains "2tho")
x3/2o3/2o3o3/2x3/2*b - (contains "2tho")
o3/2x3/2x3o3/2o3/2*b - [Grünbaumian]
o3/2x3/2o3x3/2o3/2*b - (contains "2ratho")
o3/2x3/2o3o3/2x3/2*b - [Grünbaumian]
o3/2o3/2x3x3/2o3/2*b - fedandoh
o3/2o3/2x3o3/2x3/2*b - "2brohahd"
   (contains "2ratho")
o3/2o3/2o3x3/2x3/2*b - [Grünbaumian]

x3/2x3/2x3o3/2o3/2*b - [Grünbaumian]
x3/2x3/2o3x3/2o3/2*b - [Grünbaumian]
x3/2x3/2o3o3/2x3/2*b - [Grünbaumian]
x3/2o3/2x3x3/2o3/2*b - (contains "2firp")
x3/2o3/2x3o3/2x3/2*b - "2howoh"
   (contains "2ratho")
x3/2o3/2o3x3/2x3/2*b - [Grünbaumian]
o3/2x3/2x3x3/2o3/2*b - [Grünbaumian]
o3/2x3/2x3o3/2x3/2*b - [Grünbaumian]
o3/2x3/2o3x3/2x3/2*b - [Grünbaumian]
o3/2o3/2x3x3/2x3/2*b - [Grünbaumian]

x3/2x3/2x3x3/2o3/2*b - [Grünbaumian]
x3/2x3/2x3o3/2x3/2*b - [Grünbaumian]
x3/2x3/2o3x3/2x3/2*b - [Grünbaumian]
x3/2o3/2x3x3/2x3/2*b - [Grünbaumian]
o3/2x3/2x3x3/2x3/2*b - [Grünbaumian]

x3/2x3/2x3x3/2x3/2*b - [Grünbaumian]



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