Acronym gyepipa pero, K-4.140
Name gyroelongated pentagonal pyramid atop pentagonal rotunda
Segmentochoron display
Circumradius sqrt[5+2 sqrt(5)] = 3.077684
Lace city
in approx. ASCII-art
        +-- peppy
       /
       
    x5o
    D  
A      
o5o    
    o5f
    E  
B      
x5o     +-- pecu
       /
       
    x5x
    F  
C      
o5x    
       
 |   |
 |   +---- pero
 +-------- gyepip
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • at {3} between oct and oct:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {3} between oct and squippy:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {3} between gyepip and oct:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {3} between gyepip and squippy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {3} between oct and peppy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {3} between peppy and squippy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {10} between pecu and pero:   144°
  • at {5} between gyepip and pecu:   36°
  • at {5} between peppy and pero:   36°
  • at {3} between oct and pero:   arccos(sqrt[7+3 sqrt(5)]/4) = 22.238756°
  • ...
Confer
uniform relative:
rox  
related segmentochora:
ikaid  
general polytopal classes:
segmentochora  

Incidence matrix

gyepip || pero   → height = (sqrt(5)-1)/4 = 0.309017

1 * * * *  * | 5 5 0  0 0  0  0 0  0 0  0  0 0 0 | 5 5 5 0 0 0  0  0  0 0 0 0 0 0 0 0 0 0 | 1 5 1 0 0 0 0 0 A, verf = pip
* 5 * * *  * | 1 0 2  2 1  2  2 0  0 0  0  0 0 0 | 2 1 0 2 2 1  2  2  2 1 0 0 0 0 0 0 0 0 | 1 2 0 2 1 1 0 0 B, verf = pip
* * 5 * *  * | 0 0 0  2 0  0  0 2  2 0  0  0 0 0 | 0 0 0 1 0 2  2  0  0 0 1 2 1 0 0 0 0 0 | 1 0 0 1 2 0 1 0 C
* * * 5 *  * | 0 1 0  0 1  0  0 0  0 2  2  0 0 0 | 0 1 2 0 0 0  0  2  0 0 0 0 0 1 2 1 0 0 | 0 2 1 0 0 1 0 1 D
* * * * 5  * | 0 0 0  0 0  2  0 0  0 0  2  2 0 0 | 0 0 0 0 1 0  0  2  2 0 0 0 0 0 1 2 1 0 | 0 1 0 1 0 2 0 1 E
* * * * * 10 | 0 0 0  0 0  0  1 0  1 0  0  1 1 1 | 0 0 0 0 0 0  1  0  1 1 0 1 1 0 0 1 1 1 | 0 0 0 1 1 1 1 1 F
-------------+-----------------------------------+----------------------------------------+----------------
1 1 0 0 0  0 | 5 * *  * *  *  * *  * *  *  * * * | 2 1 0 0 0 0  0  0  0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 0 0
1 0 0 1 0  0 | * 5 *  * *  *  * *  * *  *  * * * | 0 1 2 0 0 0  0  0  0 0 0 0 0 0 0 0 0 0 | 0 2 1 0 0 0 0 0
0 2 0 0 0  0 | * * 5  * *  *  * *  * *  *  * * * | 1 0 0 1 1 0  0  0  0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 0 0
0 1 1 0 0  0 | * * * 10 *  *  * *  * *  *  * * * | 0 0 0 1 0 1  1  0  0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 0 0
0 1 0 1 0  0 | * * *  * 5  *  * *  * *  *  * * * | 0 1 0 0 0 0  0  2  0 0 0 0 0 0 0 0 0 0 | 0 2 0 0 0 1 0 0
0 1 0 0 1  0 | * * *  * * 10  * *  * *  *  * * * | 0 0 0 0 1 0  0  1  1 0 0 0 0 0 0 0 0 0 | 0 1 0 1 0 1 0 0
0 1 0 0 0  1 | * * *  * *  * 10 *  * *  *  * * * | 0 0 0 0 0 0  1  0  1 1 0 0 0 0 0 0 0 0 | 0 0 0 1 1 1 0 0
0 0 2 0 0  0 | * * *  * *  *  * 5  * *  *  * * * | 0 0 0 0 0 1  0  0  0 0 1 1 0 0 0 0 0 0 | 1 0 0 0 1 0 1 0
0 0 1 0 0  1 | * * *  * *  *  * * 10 *  *  * * * | 0 0 0 0 0 0  1  0  0 0 0 1 1 0 0 0 0 0 | 0 0 0 1 1 0 1 0
0 0 0 2 0  0 | * * *  * *  *  * *  * 5  *  * * * | 0 0 1 0 0 0  0  0  0 0 0 0 0 1 1 0 0 0 | 0 1 1 0 0 0 0 1
0 0 0 1 1  0 | * * *  * *  *  * *  * * 10  * * * | 0 0 0 0 0 0  0  1  0 0 0 0 0 0 1 1 0 0 | 0 1 0 0 0 1 0 1
0 0 0 0 1  1 | * * *  * *  *  * *  * *  * 10 * * | 0 0 0 0 0 0  0  0  1 0 0 0 0 0 0 1 1 0 | 0 0 0 1 0 1 0 1
0 0 0 0 0  2 | * * *  * *  *  * *  * *  *  * 5 * | 0 0 0 0 0 0  0  0  0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 0 0 1 1 at 3-10 of pero
0 0 0 0 0  2 | * * *  * *  *  * *  * *  *  * * 5 | 0 0 0 0 0 0  0  0  0 1 0 1 0 0 0 1 0 1 | 0 0 0 0 1 1 1 1 at 5-10 of pero
-------------+-----------------------------------+----------------------------------------+----------------
1 2 0 0 0  0 | 2 0 1  0 0  0  0 0  0 0  0  0 0 0 | 5 * * * * *  *  *  * * * * * * * * * * | 1 1 0 0 0 0 0 0
1 1 0 1 0  0 | 1 1 0  0 1  0  0 0  0 0  0  0 0 0 | * 5 * * * *  *  *  * * * * * * * * * * | 0 2 0 0 0 0 0 0
1 0 0 2 0  0 | 0 2 0  0 0  0  0 0  0 1  0  0 0 0 | * * 5 * * *  *  *  * * * * * * * * * * | 0 1 1 0 0 0 0 0
0 2 1 0 0  0 | 0 0 1  2 0  0  0 0  0 0  0  0 0 0 | * * * 5 * *  *  *  * * * * * * * * * * | 1 0 0 1 0 0 0 0
0 2 0 0 1  0 | 0 0 1  0 0  2  0 0  0 0  0  0 0 0 | * * * * 5 *  *  *  * * * * * * * * * * | 0 1 0 1 0 0 0 0
0 1 2 0 0  0 | 0 0 0  2 0  0  0 1  0 0  0  0 0 0 | * * * * * 5  *  *  * * * * * * * * * * | 1 0 0 0 1 0 0 0
0 1 1 0 0  1 | 0 0 0  1 0  0  1 0  1 0  0  0 0 0 | * * * * * * 10  *  * * * * * * * * * * | 0 0 0 1 1 0 0 0
0 1 0 1 1  0 | 0 0 0  0 1  1  0 0  0 0  1  0 0 0 | * * * * * *  * 10  * * * * * * * * * * | 0 1 0 0 0 1 0 0
0 1 0 0 1  1 | 0 0 0  0 0  1  1 0  0 0  0  1 0 0 | * * * * * *  *  * 10 * * * * * * * * * | 0 0 0 1 0 1 0 0
0 1 0 0 0  2 | 0 0 0  0 0  0  2 0  0 0  0  0 0 1 | * * * * * *  *  *  * 5 * * * * * * * * | 0 0 0 0 1 1 0 0
0 0 5 0 0  0 | 0 0 0  0 0  0  0 5  0 0  0  0 0 0 | * * * * * *  *  *  * * 1 * * * * * * * | 1 0 0 0 0 0 1 0
0 0 2 0 0  2 | 0 0 0  0 0  0  0 1  2 0  0  0 0 1 | * * * * * *  *  *  * * * 5 * * * * * * | 0 0 0 0 1 0 1 0
0 0 1 0 0  2 | 0 0 0  0 0  0  0 0  2 0  0  0 1 0 | * * * * * *  *  *  * * * * 5 * * * * * | 0 0 0 1 0 0 1 0
0 0 0 5 0  0 | 0 0 0  0 0  0  0 0  0 5  0  0 0 0 | * * * * * *  *  *  * * * * * 1 * * * * | 0 0 1 0 0 0 0 1
0 0 0 2 1  0 | 0 0 0  0 0  0  0 0  0 1  2  0 0 0 | * * * * * *  *  *  * * * * * * 5 * * * | 0 1 0 0 0 0 0 1
0 0 0 1 2  2 | 0 0 0  0 0  0  0 0  0 0  2  2 0 1 | * * * * * *  *  *  * * * * * * * 5 * * | 0 0 0 0 0 1 0 1
0 0 0 0 1  2 | 0 0 0  0 0  0  0 0  0 0  0  2 1 0 | * * * * * *  *  *  * * * * * * * * 5 * | 0 0 0 1 0 0 0 1
0 0 0 0 0 10 | 0 0 0  0 0  0  0 0  0 0  0  0 5 5 | * * * * * *  *  *  * * * * * * * * * 1 | 0 0 0 0 0 0 1 1
-------------+-----------------------------------+----------------------------------------+----------------
1 5 5 0 0  0 | 5 0 5 10 0  0  0 5  0 0  0  0 0 0 | 5 0 0 5 0 5  0  0  0 0 1 0 0 0 0 0 0 0 | 1 * * * * * * * gyepip
1 2 0 2 1  0 | 2 2 1  0 2  2  0 0  0 1  2  0 0 0 | 1 2 1 0 1 0  0  2  0 0 0 0 0 0 1 0 0 0 | * 5 * * * * * * oct
1 0 0 5 0  0 | 0 5 0  0 0  0  0 0  0 5  0  0 0 0 | 0 0 5 0 0 0  0  0  0 0 0 0 0 1 0 0 0 0 | * * 1 * * * * * peppy
0 2 1 0 1  2 | 0 0 1  2 0  2  2 0  2 0  0  2 1 0 | 0 0 0 1 1 0  2  0  2 0 0 0 1 0 0 0 1 0 | * * * 5 * * * * oct
0 1 2 0 0  2 | 0 0 0  2 0  0  2 1  2 0  0  0 0 1 | 0 0 0 0 0 1  2  0  0 1 0 1 0 0 0 0 0 0 | * * * * 5 * * * squippy
0 1 0 1 2  2 | 0 0 0  0 1  2  2 0  0 0  2  2 0 1 | 0 0 0 0 0 0  0  2  2 1 0 0 0 0 0 1 0 0 | * * * * * 5 * * peppy
0 0 5 0 0 10 | 0 0 0  0 0  0  0 5 10 0  0  0 5 5 | 0 0 0 0 0 0  0  0  0 0 1 5 5 0 0 0 0 1 | * * * * * * 1 * pecu
0 0 0 5 5 10 | 0 0 0  0 0  0  0 0  0 5 10 10 5 5 | 0 0 0 0 0 0  0  0  0 0 0 0 0 1 5 5 5 1 | * * * * * * * 1 pero

© 2004-2018
top of page