Acronym teddi adoe, teddi || doe, K-4.83
Name tridiminished-icosahedron atop dodecahedron,
triminished segment of vertex-first hexacosachoron
Segmentochoron display
Circumradius (1+sqrt(5))/2 = 1.618034
Lace city
in approx. ASCII-art
       x3o       f3o   o3x       
       A         B     C         
                                 
o3o o3f   f3x       x3f   f3o o3o
D   E     F         G     H   I  
Dihedral angles
  • at {3} between tet and tet:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {5} between pap and teddi:   144°
  • at {3} between pap and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {3} between peppy and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {3} between teddi and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {3} between pap and peppy:   120°
  • at {5} between doe and peppy:   72°
  • at {5} between doe and pap:   36°
Confer
uniform relative:
ex  
related segmentochora:
ikadoe  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

xfo3oox&#xt || oofxfo3ofxfoo&#xt   → height = 1/2
(teddi || doe)

o..3o..       ...... ......     | 3 * * * * * * * * | 2 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 2 1 1 0 0 0 0 0 0 0  A
.o.3.o.       ...... ......     | * 3 * * * * * * * | 0 1 0 0 0 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 | 0 2 0 0 2 0 0 0 1 2 2 1 2 2 0 0 0 0 0 0 0 0 0 0 | 1 0 2 0 1 0 1 2 1 0 0 0 0  B
..o3..o       ...... ......     | * * 3 * * * * * * | 0 0 0 0 0 2 0 0 0 2 2 2 1 0 0 0 0 0 0 0 | 0 1 0 0 0 0 0 0 2 2 2 0 0 0 1 2 2 1 2 2 0 0 0 0 | 1 0 1 0 0 0 2 2 0 1 2 1 0  C
... ...       o.....3o.....     | * * * 1 * * * * * | 0 0 3 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 | 0 0 3 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 | 0 1 0 3 0 3 0 0 0 0 0 0 1  D
... ...       .o....3.o....     | * * * * 3 * * * * | 0 0 0 2 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 | 0 0 0 1 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 | 0 0 1 1 0 2 0 0 0 0 0 0 1  E
... ...       ..o...3..o...     | * * * * * 6 * * * | 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 | 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 | 0 0 1 0 1 1 0 0 1 0 0 0 1  F
... ...       ...o..3...o..     | * * * * * * 6 * * | 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 | 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 | 0 0 1 0 0 0 0 1 1 0 0 1 1  G
... ...       ....o.3....o.     | * * * * * * * 3 * | 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 1 0 0 2 2 0 0 1 2 | 0 0 0 0 0 0 1 2 1 0 1 2 1  H
... ...       .....o3.....o     | * * * * * * * * 1 | 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 6 0 0 0 3 | 0 0 0 0 0 0 0 0 0 1 3 3 1  I
--------------------------------+-------------------+-----------------------------------------+-------------------------------------------------+--------------------------
x.. ...       ...... ......     | 2 0 0 0 0 0 0 0 0 | 3 * * * * * * * * * * * * * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0 0 0 0 0 0 0 0
oo.3oo.&#x    ...... ......     | 1 1 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * * * * * * * * | 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 2 0 1 0 0 0 0 0 0 0 0
o..3o..     || o.....3o.....     | 1 0 0 1 0 0 0 0 0 | * * 3 * * * * * * * * * * * * * * * * * | 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 2 0 1 0 0 0 0 0 0 0
o..3o..     || .o....3.o....     | 1 0 0 0 1 0 0 0 0 | * * * 6 * * * * * * * * * * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 1 0 1 0 0 0 0 0 0 0
o..3o..     || ..o...3..o...     | 1 0 0 0 0 1 0 0 0 | * * * * 6 * * * * * * * * * * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 1 0 0 0 0 0 0 0
.oo3.oo&#x    ...... ......     | 0 1 1 0 0 0 0 0 0 | * * * * * 6 * * * * * * * * * * * * * * | 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 0 0 0 1 1 0 0 0 0 0
.o.3.o.     || ..o...3..o...     | 0 1 0 0 0 1 0 0 0 | * * * * * * 6 * * * * * * * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 0 0 0 1 0 0 0 0
.o.3.o.     || ...o..3...o..     | 0 1 0 0 0 0 1 0 0 | * * * * * * * 6 * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 0 0 0 1 1 0 0 0 0
.o.3.o.     || ....o.3....o.     | 0 1 0 0 0 0 0 1 0 | * * * * * * * * 3 * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 2 1 0 0 0 0
... ..x       ...... ......     | 0 0 2 0 0 0 0 0 0 | * * * * * * * * * 3 * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 1 0 0 0 0 0 1 0 0 1 1 0 0
..o3..o     || ...o..3...o..     | 0 0 1 0 0 0 1 0 0 | * * * * * * * * * * 6 * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 0 0 1 0 0 0 0 1 0 0 0 1 0
..o3..o     || ....o.3....o.     | 0 0 1 0 0 0 0 1 0 | * * * * * * * * * * * 6 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 | 0 0 0 0 0 0 1 1 0 0 1 1 0
..o3..o     || .....o3.....o     | 0 0 1 0 0 0 0 0 1 | * * * * * * * * * * * * 3 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 | 0 0 0 0 0 0 0 0 0 1 2 1 0
... ...       oo....3oo....&#x  | 0 0 0 1 1 0 0 0 0 | * * * * * * * * * * * * * 3 * * * * * * | 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 | 0 0 0 1 0 2 0 0 0 0 0 0 1
... ...       .oo...3.oo...&#x  | 0 0 0 0 1 1 0 0 0 | * * * * * * * * * * * * * * 6 * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 | 0 0 1 0 0 1 0 0 0 0 0 0 1
... ...       ...... ..x...     | 0 0 0 0 0 2 0 0 0 | * * * * * * * * * * * * * * * 3 * * * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 | 0 0 0 0 1 1 0 0 1 0 0 0 1
... ...       ..oo..3..oo..&#x  | 0 0 0 0 0 1 1 0 0 | * * * * * * * * * * * * * * * * 6 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 | 0 0 1 0 0 0 0 0 1 0 0 0 1
... ...       ...x.. ......     | 0 0 0 0 0 0 2 0 0 | * * * * * * * * * * * * * * * * * 3 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 0 0 0 0 0 0 0 1 1
... ...       ...oo.3...oo.&#x  | 0 0 0 0 0 0 1 1 0 | * * * * * * * * * * * * * * * * * * 6 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 | 0 0 0 0 0 0 0 1 1 0 0 1 1
... ...       ....oo3....oo&#x  | 0 0 0 0 0 0 0 1 1 | * * * * * * * * * * * * * * * * * * * 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 | 0 0 0 0 0 0 0 0 0 0 1 2 1
--------------------------------+-------------------+-----------------------------------------+-------------------------------------------------+--------------------------
x..3o..       ...... ......     | 3 0 0 0 0 0 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 0 0
xfo ...&#xt   ...... ......     | 2 2 1 0 0 0 0 0 0 | 1 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0 0 0
x.. ...     || o.....3o.....     | 2 0 0 1 0 0 0 0 0 | 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 3 * * * * * * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0 0 0
x.. ...     || .o....3.o....     | 2 0 0 0 1 0 0 0 0 | 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 3 * * * * * * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0 0 0 0
oo.3oo.&#x  || ..o...3..o...     | 1 1 0 0 0 1 0 0 0 | 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 6 * * * * * * * * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 0 0 0
o..3o..     || oo....3oo....&#x  | 1 0 0 1 1 0 0 0 0 | 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | * * * * * 6 * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 1 0 0 0 0 0 0 0
o..3o..     || .oo...3.oo...&#x  | 1 0 0 0 1 1 0 0 0 | 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | * * * * * * 6 * * * * * * * * * * * * * * * * * | 0 0 1 0 0 1 0 0 0 0 0 0 0
o..3o..     || ...... ..x...     | 1 0 0 0 0 2 0 0 0 | 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | * * * * * * * 3 * * * * * * * * * * * * * * * * | 0 0 0 0 1 1 0 0 0 0 0 0 0
... .ox&#x    ...... ......     | 0 1 2 0 0 0 0 0 0 | 0 0 0 0 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * 3 * * * * * * * * * * * * * * * | 1 0 0 0 0 0 1 0 0 0 0 0 0
.oo3.oo&#x  || ...o..3...o..     | 0 1 1 0 0 0 1 0 0 | 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * * * * * * 6 * * * * * * * * * * * * * * | 0 0 1 0 0 0 0 1 0 0 0 0 0
.oo3.oo&#x  || ....o.3....o.     | 0 1 1 0 0 0 0 1 0 | 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 | * * * * * * * * * * 6 * * * * * * * * * * * * * | 0 0 0 0 0 0 1 1 0 0 0 0 0
.o.3.o.     || ...... ..x...     | 0 1 0 0 0 2 0 0 0 | 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 1 0 0 0 0 | * * * * * * * * * * * 3 * * * * * * * * * * * * | 0 0 0 0 1 0 0 0 1 0 0 0 0
.o.3.o.     || ..oo..3..oo..&#x  | 0 1 0 0 0 1 1 0 0 | 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 | * * * * * * * * * * * * 6 * * * * * * * * * * * | 0 0 1 0 0 0 0 0 1 0 0 0 0
.o.3.o.     || ...oo.3...oo.&#x  | 0 1 0 0 0 0 1 1 0 | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 | * * * * * * * * * * * * * 6 * * * * * * * * * * | 0 0 0 0 0 0 0 1 1 0 0 0 0
..o3..x       ...... ......     | 0 0 3 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * 1 * * * * * * * * * | 1 0 0 0 0 0 0 0 0 1 0 0 0
... ..x     || ....o.3....o.     | 0 0 2 0 0 0 0 1 0 | 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * 3 * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 1 0 0
... ..x     || .....o3.....o     | 0 0 2 0 0 0 0 0 1 | 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * 3 * * * * * * * | 0 0 0 0 0 0 0 0 0 1 1 0 0
..o3..o     || ...x.. ......     | 0 0 1 0 0 0 2 0 0 | 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 1 0 0 | * * * * * * * * * * * * * * * * * 3 * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 0
..o3..o     || ...oo.3...oo.&#x  | 0 0 1 0 0 0 1 1 0 | 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 | * * * * * * * * * * * * * * * * * * 6 * * * * * | 0 0 0 0 0 0 0 1 0 0 0 1 0
..o3..o     || ....oo3....oo&#x  | 0 0 1 0 0 0 0 1 1 | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 | * * * * * * * * * * * * * * * * * * * 6 * * * * | 0 0 0 0 0 0 0 0 0 0 1 1 0
... ...       ...... ofx...&#xt | 0 0 0 1 2 2 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * 3 * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1
... ...       .ofx.. ......&#xt | 0 0 0 0 1 2 2 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 0 | * * * * * * * * * * * * * * * * * * * * * 3 * * | 0 0 1 0 0 0 0 0 0 0 0 0 1
... ...       ...... ..xfo.&#xt | 0 0 0 0 0 2 2 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 | * * * * * * * * * * * * * * * * * * * * * * 3 * | 0 0 0 0 0 0 0 0 1 0 0 0 1
... ...       ...xfo ......&#xt | 0 0 0 0 0 0 2 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 | * * * * * * * * * * * * * * * * * * * * * * * 3 | 0 0 0 0 0 0 0 0 0 0 0 1 1
--------------------------------+-------------------+-----------------------------------------+-------------------------------------------------+--------------------------
xfo3oox&#xt   ...... ......      3 3 3 0 0 0 0 0 0 | 3 3 0 0 0 6 0 0 0 3 0 0 0 0 0 0 0 0 0 0 | 1 3 0 0 0 0 0 0 3 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * *
..o3..x     || o.....3o.....      3 0 0 1 0 0 0 0 0 | 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 1 * * * * * * * * * * *
xfo ...&#xt || .ofx.. ......&#xt  2 2 1 0 1 2 2 0 0 | 1 2 0 2 2 2 2 2 0 0 2 0 0 0 2 0 2 1 0 0 | 0 1 0 1 2 0 2 0 0 2 0 0 2 0 0 0 0 1 0 0 0 1 0 0 | * * 3 * * * * * * * * * *
x.. ...     || oo....3oo....&#x   2 0 0 1 1 0 0 0 0 | 1 0 2 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 0 0 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 3 * * * * * * * * *
oo.3oo.&#x  || ...... ..x...      1 1 0 0 0 2 0 0 0 | 0 1 0 0 2 0 2 0 0 0 0 0 0 0 0 1 0 0 0 0 | 0 0 0 0 2 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 3 * * * * * * * *
o..3o..     || ...... ofx...&#xt  1 0 0 1 2 2 0 0 0 | 0 0 1 2 2 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 | 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | * * * * * 3 * * * * * * *
... .ox&#x  || ....o.3....o.      0 1 2 0 0 0 0 1 0 | 0 0 0 0 0 2 0 0 1 1 0 2 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 0 0 0 0 0 0 0 0 | * * * * * * 3 * * * * * *
.oo3.oo&#x  || ...oo.3...oo.&#x   0 1 1 0 0 0 1 1 0 | 0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 0 0 0 1 0 | 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 | * * * * * * * 6 * * * * *
.o.3.o.     || ...... ..xfo.&#xt  0 1 0 0 0 2 2 1 0 | 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 1 2 0 2 0 | 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 1 0 | * * * * * * * * 3 * * * *
..o3..x     || .....o3.....o      0 0 3 0 0 0 0 0 1 | 0 0 0 0 0 0 0 0 0 3 0 0 3 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 0 0 0 0 0 0 0 | * * * * * * * * * 1 * * *
... ..x     || ....oo3....oo&#x   0 0 2 0 0 0 0 1 1 | 0 0 0 0 0 0 0 0 0 1 0 2 2 0 0 0 0 0 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 0 0 0 0 | * * * * * * * * * * 3 * *
..o3..o     || ...xfo ......&#xt  0 0 1 0 0 0 2 2 1 | 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 1 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 1 | * * * * * * * * * * * 3 *
... ...       oofxfo3ofxfoo&#xt  0 0 0 1 3 6 6 3 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 3 6 3 6 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 | * * * * * * * * * * * * 1

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