Acronym twagy etiatidbicu
Name dodeca-gyroaugmented elongated tiatidbicu
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 pobcu and trip:   arccos(-sqrt[(3+sqrt(5))/6]) = 159.094843°
  • at {3} between pobcu and squippy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {4} between trip and trip:   arccos(-2/sqrt(5)) = 153.434949°
  • at {5} between pobcu and pobcu:   144°
  • at {4} between squippy and squippy:   arccos(-4/5) = 143.130102°
  • at {6} between ti and tricu:   arccos[-sqrt(5/8)] = 142.238756°
  • at {3} between pobcu and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {4} between pobcu and tricu:   135°
  • at {3} between tricu and trip:   arccos[-sqrt(3/8)] = 127.761244°
  • at {5} between pobcu and ti:   108°
Face vector 300, 960, 926, 266
Confer
uniform relatives:
tiddip  
segmentochora:
tiatid   pecuf  
related CRFs:
etiatid   tiatidbicu   twagy tiddip   twau etiatidbicu  

Incidence matrix according to Dynkin symbol

xoAox3xxxxx5oxoxo&#xt   → all heights = 1/2
                          where A = 3/sqrt(5) = 1.341641
(ti || pseudo tid || pseudo (A,x)-ti || pseudo tid || ti)

o....3o....5o....     & | 120   *  * |  1   2   2   0  0   0  0  0 |  2  1   2   2   1  0   0   0  0  0   0  0 | 1  2  1  1  0  0  0
.o...3.o...5.o...     & |   * 120  * |  0   0   2   2  1   2  1  0 |  0  0   1   2   2  1   2   2  2  1   2  0 | 0  1  1  2  1  2  2
..o..3..o..5..o..       |   *   * 60 |  0   0   0   0  0   4  0  2 |  0  0   0   0   0  0   4   2  0  0   2  1 | 0  0  0  2  0  2  1
------------------------+------------+-----------------------------+-------------------------------------------+--------------------
x.... ..... .....     & |   2   0  0 | 60   *   *   *  *   *  *  * |  2  0   2   0   0  0   0   0  0  0   0  0 | 1  2  1  0  0  0  0
..... x.... .....     & |   2   0  0 |  * 120   *   *  *   *  *  * |  1  1   0   1   0  0   0   0  0  0   0  0 | 1  1  0  1  0  0  0
oo...3oo...5oo...&#x  & |   1   1  0 |  *   * 240   *  *   *  *  * |  0  0   1   1   1  0   0   0  0  0   0  0 | 0  1  1  1  0  0  0
..... .x... .....     & |   0   2  0 |  *   *   * 120  *   *  *  * |  0  0   0   1   0  1   1   0  1  0   0  0 | 0  1  0  1  1  1  0
..... ..... .x...     & |   0   2  0 |  *   *   *   * 60   *  *  * |  0  0   0   0   2  0   0   2  0  1   0  0 | 0  0  1  2  0  0  2
.oo..3.oo..5.oo..&#x  & |   0   1  1 |  *   *   *   *  * 240  *  * |  0  0   0   0   0  0   1   1  0  0   1  0 | 0  0  0  1  0  1  1
.o.o.3.o.o.5.o.o.&#x    |   0   2  0 |  *   *   *   *  *   * 60  * |  0  0   0   0   0  0   0   0  2  1   2  0 | 0  0  0  0  1  2  2
..... ..x.. .....       |   0   0  2 |  *   *   *   *  *   *  * 60 |  0  0   0   0   0  0   2   0  0  0   0  1 | 0  0  0  2  0  1  0
------------------------+------------+-----------------------------+-------------------------------------------+--------------------
x....3x.... .....     & |   6   0  0 |  3   3   0   0  0   0  0  0 | 40  *   *   *   *  *   *   *  *  *   *  * | 1  1  0  0  0  0  0
..... x....5o....     & |   5   0  0 |  0   5   0   0  0   0  0  0 |  * 24   *   *   *  *   *   *  *  *   *  * | 1  0  0  1  0  0  0
xo... ..... .....&#x  & |   2   1  0 |  1   0   2   0  0   0  0  0 |  *  * 120   *   *  *   *   *  *  *   *  * | 0  1  1  0  0  0  0
..... xx... .....&#x  & |   2   2  0 |  0   1   2   1  0   0  0  0 |  *  *   * 120   *  *   *   *  *  *   *  * | 0  1  0  1  0  0  0
..... ..... ox...&#x  & |   1   2  0 |  0   0   2   0  1   0  0  0 |  *  *   *   * 120  *   *   *  *  *   *  * | 0  0  1  1  0  0  0
.o...3.x... .....     & |   0   3  0 |  0   0   0   3  0   0  0  0 |  *  *   *   *   * 40   *   *  *  *   *  * | 0  1  0  0  1  0  0
..... .xx.. .....&#x  & |   0   2  2 |  0   0   0   1  0   2  0  1 |  *  *   *   *   *  * 120   *  *  *   *  * | 0  0  0  1  0  1  0
..... ..... .xo..&#x  & |   0   2  1 |  0   0   0   0  1   2  0  0 |  *  *   *   *   *  *   * 120  *  *   *  * | 0  0  0  1  0  0  1
..... .x.x. .....&#x    |   0   4  0 |  0   0   0   2  0   0  2  0 |  *  *   *   *   *  *   *   * 60  *   *  * | 0  0  0  0  1  1  0
..... ..... .x.x.&#x    |   0   4  0 |  0   0   0   0  2   0  2  0 |  *  *   *   *   *  *   *   *  * 30   *  * | 0  0  0  0  0  0  2
.ooo.3.ooo.5.ooo.&#x    |   0   2  1 |  0   0   0   0  0   2  1  0 |  *  *   *   *   *  *   *   *  *  * 120  * | 0  0  0  0  0  1  1
..... ..x..5..o..       |   0   0  5 |  0   0   0   0  0   0  0  5 |  *  *   *   *   *  *   *   *  *  *   * 12 | 0  0  0  2  0  0  0
------------------------+------------+-----------------------------+-------------------------------------------+--------------------
x....3x....5o....     & ♦  60   0  0 | 30  60   0   0  0   0  0  0 | 20 12   0   0   0  0   0   0  0  0   0  0 | 2  *  *  *  *  *  *
xo...3xx... .....&#x  & ♦   6   3  0 |  3   3   6   3  0   0  0  0 |  1  0   3   3   0  1   0   0  0  0   0  0 | * 40  *  *  *  *  *
xo... ..... ox...&#x  & ♦   2   2  0 |  1   0   4   0  1   0  0  0 |  0  0   2   0   2  0   0   0  0  0   0  0 | *  * 60  *  *  *  *
..... xxx..5oxo..&#xt & ♦   5  10  5 |  0   5  10   5  5  10  0  5 |  0  1   0   5   5  0   5   5  0  0   0  1 | *  *  * 24  *  *  *
.o.o.3.x.x. .....&#x    ♦   0   6  0 |  0   0   0   6  0   0  3  0 |  0  0   0   0   0  2   0   0  3  0   0  0 | *  *  *  * 20  *  *
..... .xxx. .....&#x    ♦   0   4  2 |  0   0   0   2  0   4  2  1 |  0  0   0   0   0  0   2   0  1  0   2  0 | *  *  *  *  * 60  *
..... ..... .xox.&#x    ♦   0   4  1 |  0   0   0   0  2   4  2  0 |  0  0   0   0   0  0   0   2  0  1   2  0 | *  *  *  *  *  * 60


((uxo xoA3xxx5oxo))&#zxt   → heights = 0
                             where A = 3/sqrt(5) = 1.341641

o.. o..3o..5o..     | 120   *  * |  1   2   2  0   0  0   0  0 |  2  1   2   2   1  0  0  0   0   0   0  0 | 1  2  1  1  0  0  0
.o. .o.3.o.5.o.     |   * 120  * |  0   0   2  1   2  1   2  0 |  0  0   1   2   2  2  1  1   2   2   2  0 | 0  1  1  2  1  2  2
..o ..o3..o5..o     |   *   * 60 |  0   0   0  0   0  0   4  2 |  0  0   0   0   0  0  0  0   2   4   2  1 | 0  0  0  2  0  2  1
--------------------+------------+-----------------------------+-------------------------------------------+--------------------
... x.. ... ...     |   2   0  0 | 60   *   *  *   *  *   *  * |  2  0   2   0   0  0  0  0   0   0   0  0 | 1  2  1  0  0  0  0
... ... x.. ...     |   2   0  0 |  * 120   *  *   *  *   *  * |  1  1   0   1   0  0  0  0   0   0   0  0 | 1  1  0  1  0  0  0
oo. oo.3oo.5oo.&#x  |   1   1  0 |  *   * 240  *   *  *   *  * |  0  0   1   1   1  0  0  0   0   0   0  0 | 0  1  1  1  0  0  0
.x. ... ... ...     |   0   2  0 |  *   *   * 60   *  *   *  * |  0  0   0   0   0  2  1  0   2   0   0  0 | 0  0  0  0  1  2  2
... ... .x. ...     |   0   2  0 |  *   *   *  * 120  *   *  * |  0  0   0   1   0  1  0  1   0   1   0  0 | 0  1  0  1  1  1  0
... ... ... .x.     |   0   2  0 |  *   *   *  *   * 60   *  * |  0  0   0   0   2  0  1  0   0   0   2  0 | 0  0  1  2  0  0  2
.oo .oo3.oo5.oo&#x  |   0   1  1 |  *   *   *  *   *  * 240  * |  0  0   0   0   0  0  0  0   1   1   1  0 | 0  0  0  1  0  1  1
... ... ..x ...     |   0   0  2 |  *   *   *  *   *  *   * 60 |  0  0   0   0   0  0  0  0   0   2   0  1 | 0  0  0  2  0  1  0
--------------------+------------+-----------------------------+-------------------------------------------+--------------------
... x..3x.. ...     |   6   0  0 |  3   3   0  0   0  0   0  0 | 40  *   *   *   *  *  *  *   *   *   *  * | 1  1  0  0  0  0  0
... ... x..5o..     |   5   0  0 |  0   5   0  0   0  0   0  0 |  * 24   *   *   *  *  *  *   *   *   *  * | 1  0  0  1  0  0  0
... xo. ... ...&#x  |   2   1  0 |  1   0   2  0   0  0   0  0 |  *  * 120   *   *  *  *  *   *   *   *  * | 0  1  1  0  0  0  0
... ... xx. ...&#x  |   2   2  0 |  0   1   2  0   1  0   0  0 |  *  *   * 120   *  *  *  *   *   *   *  * | 0  1  0  1  0  0  0
... ... ... ox.&#x  |   1   2  0 |  0   0   2  0   0  1   0  0 |  *  *   *   * 120  *  *  *   *   *   *  * | 0  0  1  1  0  0  0
.x. ... .x. ...     |   0   4  0 |  0   0   0  2   2  0   0  0 |  *  *   *   *   * 60  *  *   *   *   *  * | 0  0  0  0  1  1  0
.x. ... ... .x.     |   0   4  0 |  0   0   0  2   0  2   0  0 |  *  *   *   *   *  * 30  *   *   *   *  * | 0  0  0  0  0  0  2
... .o.3.x. ...     |   0   3  0 |  0   0   0  0   3  0   0  0 |  *  *   *   *   *  *  * 40   *   *   *  * | 0  1  0  0  1  0  0
.xo ... ... ...&#x  |   0   2  1 |  0   0   0  1   0  0   2  0 |  *  *   *   *   *  *  *  * 120   *   *  * | 0  0  0  0  0  1  1
... ... .xx ...&#x  |   0   2  2 |  0   0   0  0   1  0   2  1 |  *  *   *   *   *  *  *  *   * 120   *  * | 0  0  0  1  0  1  0
... ... ... .xo&#x  |   0   2  1 |  0   0   0  0   0  1   2  0 |  *  *   *   *   *  *  *  *   *   * 120  * | 0  0  0  1  0  0  1
... ... ..x5..o     |   0   0  5 |  0   0   0  0   0  0   0  5 |  *  *   *   *   *  *  *  *   *   *   * 12 | 0  0  0  2  0  0  0
--------------------+------------+-----------------------------+-------------------------------------------+--------------------
... x..3x..5o..     ♦  60   0  0 | 30  60   0  0   0  0   0  0 | 20 12   0   0   0  0  0  0   0   0   0  0 | 2  *  *  *  *  *  *
... xo.3xx. ...&#x  ♦   6   3  0 |  3   3   6  0   3  0   0  0 |  1  0   3   3   0  0  0  1   0   0   0  0 | * 40  *  *  *  *  *
... xo. ... ox.&#x  ♦   2   2  0 |  1   0   4  0   0  1   0  0 |  0  0   2   0   2  0  0  0   0   0   0  0 | *  * 60  *  *  *  *
... ... xxx5oxo&#xt ♦   5  10  5 |  0   5  10  0   5  5  10  5 |  0  1   0   5   5  0  0  0   0   5   5  1 | *  *  * 24  *  *  *
.x. .o.3.x. ...     ♦   0   6  0 |  0   0   0  3   6  0   0  0 |  0  0   0   0   0  3  0  2   0   0   0  0 | *  *  *  * 20  *  *
.xo ... .xx ...&#x  ♦   0   4  2 |  0   0   0  2   2  0   4  1 |  0  0   0   0   0  1  0  0   2   2   0  0 | *  *  *  *  * 60  *
.xo ... ... .xo&#x  ♦   0   4  1 |  0   0   0  2   0  2   4  0 |  0  0   0   0   0  0  1  0   2   0   2  0 | *  *  *  *  *  * 60

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