Acronym twau doaid
Name deep mono-diminished rotunda of ex,
12-augmented doe || id
Circumradius (1+sqrt(5))/2 = 1.618034
Lace city
in approx. ASCII-art
     o5o       
            o5x
               
x5o            
               
            f5o
     o5f       
               
               
f5o            
               
            x5x
               
o5f            
               
               
     f5o       
            o5f
               
o5x            
               
            x5o
     o5o       
 o3o o3f   f3x       x3f   f3o o3o 
                                   
   f3o       o3F   F3o       o3f   		(F=ff)
                                   
                                   
o3x   x3f F3o   f3f   o3F f3x   x3o
Dihedral angles
  • at {3} between tet and tet:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {5} between doe and peppy:   144°
  • at {3} between peppy and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {5} between id and peppy:   108°
  • at {3} between id and tet:   arccos[(3-sqrt(5))/sqrt(32)] = 82.238756°
Confer
uniform relative:
ex  
related CRFs:
rotunda of ex  
related segmentochora:
doaid   pappy  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

ofo3oox5xoo&#xt   → height(1,2) = (sqrt(5)-1)/4 = 0.309017
                                height(2,3) = 1/2
(doe || pseudo f-ike || id)

o..3o..5o..    | 20  *  * |  3  3  3  0  0 |  3  6   6  3  3  0  0  0 | 1  3  3  6  1  0 0
.o.3.o.5.o.    |  * 12  *   0  5  0  5  0 |  0  5  10  0  0  5  0  0 | 0  1  5  5  0  1 0
..o3..o3..o    |  *  * 30 |  0  0  2  2  4 |  0  0   4  4  1  4  2  2 | 0  0  4  2  2  2 1
---------------+----------+----------------+--------------------------+-------------------
... ... x..    |  2  0  0 | 30  *  *  *  * |  2  2   0  0  1  0  0  0 | 1  2  0  2  0  0 0
oo.3oo.5oo.&#x |  1  1  0 |  * 60  *  *  * |  0  2   2  0  0  0  0  0 | 0  1  1  2  0  0 0
o.o3o.o5o.o&#x |  1  0  1 |  *  * 60  *  * |  0  0   2  2  1  0  0  0 | 0  0  2  2  1  0 0
.oo3.oo5.oo&#x |  0  1  1 |  *  *  * 60  * |  0  0   2  0  0  2  0  0 | 0  0  2  1  0  1 0
... ..x ...    |  0  0  2 |  *  *  *  * 60 |  0  0   0  1  0  1  1  1 | 0  0  1  0  1  1 1
---------------+----------+----------------+--------------------------+-------------------
... o..5x..    |  5  0  0 |  5  0  0  0  0 | 12  *   *  *  *  *  *  * | 1  1  0  0  0  0 0
... ... xo.&#x |  2  1  0 |  1  2  0  0  0 |  * 60   *  *  *  *  *  * | 0  1  0  1  0  0 0
ooo3ooo5ooo&#x |  1  1  1 |  0  1  1  1  0 |  *  * 120  *  *  *  *  * | 0  0  1  1  0  0 0
... o.x ...&#x |  1  0  2 |  0  0  2  0  1 |  *  *   * 60  *  *  *  * | 0  0  1  0  1  0 0
... ... x.o&#x |  2  0  1 |  1  0  2  0  0 |  *  *   *  * 30  *  *  * | 0  0  0  2  0  0 0
... .ox ...&#x |  0  1  2 |  0  0  0  2  1 |  *  *   *  *  * 60  *  * | 0  0  1  0  0  1 0
..o3..x ...    |  0  0  3 |  0  0  0  0  3 |  *  *   *  *  *  * 20  * | 0  0  0  0  1  0 1
... ..x5..o    |  0  0  5 |  0  0  0  0  5 |  *  *   *  *  *  *  * 12 | 0  0  0  0  0  1 1
---------------+----------+----------------+--------------------------+-------------------
o..3o..5x..     20  0  0 | 30  0  0  0  0 | 12  0   0  0  0  0  0  0 | 1  *  *  *  *  * *
... oo.5xo.&#x   5  1  0 |  5  5  0  0  0 |  1  5   0  0  0  0  0  0 | * 12  *  *  *  * *
... oox ...&#x   1  1  2 |  0  1  2  2  1 |  0  0   2  1  0  1  0  0 | *  * 60  *  *  * *
... ... xoo&#x   2  1  1 |  1  2  2  1  0 |  0  1   2  0  1  0  0  0 | *  *  * 60  *  * *
o.o3o.x ...&#x   1  0  3 |  0  0  3  0  3 |  0  0   0  3  0  0  1  0 | *  *  *  * 20  * *
... .ox5.oo&#x   0  1  5 |  0  0  0  5  5 |  0  0   0  0  0  5  0  1 | *  *  *  *  * 12 *
..o3..x5..o      0  0 30 |  0  0  0  0 60 |  0  0   0  0  0  0 20 12 | *  *  *  *  *  * 1

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