Acronym twau etiatid
Name dodeca-augmented elongated tiatid
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • at {3} between squippy and trip:   arccos(-sqrt[9+3 sqrt(5)]/4) = 172.238756°
  • at {3} between tet and tricu:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {4} between pecu and trip:   arccos(-sqrt[(3+sqrt(5))/6]) = 159.094843°
  • at {4} between pegybcu and trip:   arccos(-sqrt[(3+sqrt(5))/6]) = 159.094843°
  • at {3} between pecu and squippy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {3} between pegybcu and squippy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {4} between squippy and trip:   arccos(-sqrt[5/6]) = 155.905157°
  • at {5} between pecu and pegybcu:   144°
  • at {6} between ti and tricu:   arccos[-sqrt(5/8)] = 142.238756°
  • at {3} between pegybcu and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {4} between trip and trip:   arccos(-sqrt(5)/3) = 138.189685°
  • at {4} between pegybcu and tricu:   135°
  • at {3} between tricu and trip:   arccos[-sqrt(3/8)] = 127.761244°
  • at {10} between pecu and tid:   108°
  • at {5} between pegybcu and ti:   108°
  • at {3} between tid and trip:   90°
Face vector 240, 750, 726, 216
Confer
uniform relatives:
tiddip  
segmentochora:
tiatid   pepuf  
related CRFs:
etiatid   twagy etiatid   twau etiatidbicu   twau tiddip  

Incidence matrix according to Dynkin symbol

xofo3xxox5oxxx&#xt   → height(1,2) = 1/2
                       height(2,3) = 1
(ti || pseudo tid || pseudo (f,x)-srid || tid)

o...3o...5o...     | 60  *  *  * |  1  2   2  0  0   0  0  0   0  0  0 |  2  1  2  2  1  0  0  0  0  0   0  0  0  0  0  0 | 1  2  1  1  0  0  0  0 0
.o..3.o..5.o..     |  * 60  *  * |  0  0   2  2  1   2  1  0   0  0  0 |  0  0  1  2  2  1  2  2  2  1   2  0  0  0  0  0 | 0  1  1  2  1  2  2  0 0
..o.3..o.5..o.     |  *  * 60  * |  0  0   0  0  0   2  0  2   2  0  0 |  0  0  0  0  0  0  1  2  0  0   2  1  1  2  0  0 | 0  0  0  1  0  1  2  1 0
...o3...o5...o     |  *  *  * 60 |  0  0   0  0  0   0  1  0   2  2  1 |  0  0  0  0  0  0  0  0  2  1   2  0  2  2  1  2 | 0  0  0  0  1  2  2  2 1
-------------------+-------------+-------------------------------------+--------------------------------------------------+-------------------------
x... .... ....     |  2  0  0  0 | 30  *   *  *  *   *  *  *   *  *  * |  2  0  2  0  0  0  0  0  0  0   0  0  0  0  0  0 | 1  2  1  0  0  0  0  0 0
.... x... ....     |  2  0  0  0 |  * 60   *  *  *   *  *  *   *  *  * |  1  1  0  1  0  0  0  0  0  0   0  0  0  0  0  0 | 1  1  0  1  0  0  0  0 0
oo..3oo..5oo..&#x  |  1  1  0  0 |  *  * 120  *  *   *  *  *   *  *  * |  0  0  1  1  1  0  0  0  0  0   0  0  0  0  0  0 | 0  1  1  1  0  0  0  0 0
.... .x.. ....     |  0  2  0  0 |  *  *   * 60  *   *  *  *   *  *  * |  0  0  0  1  0  1  1  0  1  0   0  0  0  0  0  0 | 0  1  0  1  1  1  0  0 0
.... .... .x..     |  0  2  0  0 |  *  *   *  * 30   *  *  *   *  *  * |  0  0  0  0  2  0  0  2  0  1   0  0  0  0  0  0 | 0  0  1  2  0  0  2  0 0
.oo.3.oo.5.oo.&#x  |  0  1  1  0 |  *  *   *  *  * 120  *  *   *  *  * |  0  0  0  0  0  0  1  1  0  0   1  0  0  0  0  0 | 0  0  0  1  0  1  1  0 0
.o.o3.o.o5.o.o&#x  |  0  1  0  1 |  *  *   *  *  *   * 60  *   *  *  * |  0  0  0  0  0  0  0  0  2  1   2  0  0  0  0  0 | 0  0  0  0  1  2  2  0 0
.... .... ..x.     |  0  0  2  0 |  *  *   *  *  *   *  * 60   *  *  * |  0  0  0  0  0  0  0  1  0  0   0  1  0  1  0  0 | 0  0  0  1  0  0  1  1 0
..oo3..oo5..oo&#x  |  0  0  1  1 |  *  *   *  *  *   *  *  * 120  *  * |  0  0  0  0  0  0  0  0  0  0   1  0  1  1  0  0 | 0  0  0  0  0  1  1  1 0
.... ...x ....     |  0  0  0  2 |  *  *   *  *  *   *  *  *   * 60  * |  0  0  0  0  0  0  0  0  1  0   0  0  1  0  1  1 | 0  0  0  0  1  1  0  1 1
.... .... ...x     |  0  0  0  2 |  *  *   *  *  *   *  *  *   *  * 30 |  0  0  0  0  0  0  0  0  0  1   0  0  0  2  0  2 | 0  0  0  0  0  0  2  2 1
-------------------+-------------+-------------------------------------+--------------------------------------------------+-------------------------
x...3x... ....     |  6  0  0  0 |  3  3   0  0  0   0  0  0   0  0  0 | 20  *  *  *  *  *  *  *  *  *   *  *  *  *  *  * | 1  1  0  0  0  0  0  0 0
.... x...5o...     |  5  0  0  0 |  0  5   0  0  0   0  0  0   0  0  0 |  * 12  *  *  *  *  *  *  *  *   *  *  *  *  *  * | 1  0  0  1  0  0  0  0 0
xo.. .... ....&#x  |  2  1  0  0 |  1  0   2  0  0   0  0  0   0  0  0 |  *  * 60  *  *  *  *  *  *  *   *  *  *  *  *  * | 0  1  1  0  0  0  0  0 0
.... xx.. ....&#x  |  2  2  0  0 |  0  1   2  1  0   0  0  0   0  0  0 |  *  *  * 60  *  *  *  *  *  *   *  *  *  *  *  * | 0  1  0  1  0  0  0  0 0
.... .... ox..&#x  |  1  2  0  0 |  0  0   2  0  1   0  0  0   0  0  0 |  *  *  *  * 60  *  *  *  *  *   *  *  *  *  *  * | 0  0  1  1  0  0  0  0 0
.o..3.x.. ....     |  0  3  0  0 |  0  0   0  3  0   0  0  0   0  0  0 |  *  *  *  *  * 20  *  *  *  *   *  *  *  *  *  * | 0  1  0  0  1  0  0  0 0
.... .xo. ....&#x  |  0  2  1  0 |  0  0   0  1  0   2  0  0   0  0  0 |  *  *  *  *  *  * 60  *  *  *   *  *  *  *  *  * | 0  0  0  1  0  1  0  0 0
.... .... .xx.&#x  |  0  2  2  0 |  0  0   0  0  1   2  0  1   0  0  0 |  *  *  *  *  *  *  * 60  *  *   *  *  *  *  *  * | 0  0  0  1  0  0  1  0 0
.... .x.x ....&#x  |  0  2  0  2 |  0  0   0  1  0   0  2  0   0  1  0 |  *  *  *  *  *  *  *  * 60  *   *  *  *  *  *  * | 0  0  0  0  1  1  0  0 0
.... .... .x.x&#x  |  0  2  0  2 |  0  0   0  0  1   0  2  0   0  0  1 |  *  *  *  *  *  *  *  *  * 30   *  *  *  *  *  * | 0  0  0  0  0  0  2  0 0
.ooo3.ooo5.ooo&#x  |  0  1  1  1 |  0  0   0  0  0   1  1  0   1  0  0 |  *  *  *  *  *  *  *  *  *  * 120  *  *  *  *  * | 0  0  0  0  0  1  1  0 0
.... ..o.5..x.     |  0  0  5  0 |  0  0   0  0  0   0  0  5   0  0  0 |  *  *  *  *  *  *  *  *  *  *   * 12  *  *  *  * | 0  0  0  1  0  0  0  1 0
.... ..ox ....&#x  |  0  0  1  2 |  0  0   0  0  0   0  0  0   2  1  0 |  *  *  *  *  *  *  *  *  *  *   *  * 60  *  *  * | 0  0  0  0  0  1  0  1 0
.... .... ..xx&#x  |  0  0  2  2 |  0  0   0  0  0   0  0  1   2  0  1 |  *  *  *  *  *  *  *  *  *  *   *  *  * 60  *  * | 0  0  0  0  0  0  1  1 0
...o3...x ....     |  0  0  0  3 |  0  0   0  0  0   0  0  0   0  3  0 |  *  *  *  *  *  *  *  *  *  *   *  *  *  * 20  * | 0  0  0  0  1  0  0  0 1
.... ...x5...x     |  0  0  0 10 |  0  0   0  0  0   0  0  0   0  5  5 |  *  *  *  *  *  *  *  *  *  *   *  *  *  *  * 12 | 0  0  0  0  0  0  0  1 1
-------------------+-------------+-------------------------------------+--------------------------------------------------+-------------------------
x...3x...5o...     ♦ 60  0  0  0 | 30 60   0  0  0   0  0  0   0  0  0 | 20 12  0  0  0  0  0  0  0  0   0  0  0  0  0  0 | 1  *  *  *  *  *  *  * *
xo..3xx.. ....&#x  ♦  6  3  0  0 |  3  3   6  3  0   0  0  0   0  0  0 |  1  0  3  3  0  1  0  0  0  0   0  0  0  0  0  0 | * 20  *  *  *  *  *  * *
xo.. .... ox..&#x  ♦  2  2  0  0 |  1  0   4  0  1   0  0  0   0  0  0 |  0  0  2  0  2  0  0  0  0  0   0  0  0  0  0  0 | *  * 30  *  *  *  *  * *
.... xxo.5oxx.&#xt ♦  5 10  5  0 |  0  5  10  5  5  10  0  5   0  0  0 |  0  1  0  5  5  0  5  5  0  0   0  1  0  0  0  0 | *  *  * 12  *  *  *  * *
.o.o3.x.x ....&#x  ♦  0  3  0  3 |  0  0   0  3  0   0  3  0   0  3  0 |  0  0  0  0  0  1  0  0  3  0   0  0  0  0  1  0 | *  *  *  * 20  *  *  * *
.... .xox ....&#x  ♦  0  2  1  2 |  0  0   0  1  0   2  2  0   2  1  0 |  0  0  0  0  0  0  1  0  1  0   2  0  1  0  0  0 | *  *  *  *  * 60  *  * *
.... .... .xxx&#x  ♦  0  2  2  2 |  0  0   0  0  1   2  2  1   2  0  1 |  0  0  0  0  0  0  0  1  0  1   2  0  0  1  0  0 | *  *  *  *  *  * 60  * *
.... ..ox5..xx&#x  ♦  0  0  5 10 |  0  0   0  0  0   0  0  5  10  5  5 |  0  0  0  0  0  0  0  0  0  0   0  1  5  5  0  1 | *  *  *  *  *  *  * 12 *
...o3...x5...x     ♦  0  0  0 60 |  0  0   0  0  0   0  0  0   0 60 30 |  0  0  0  0  0  0  0  0  0  0   0  0  0  0 20 12 | *  *  *  *  *  *  *  * 1

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