Acronym etiatid
Name elongated tiatid
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • at {3} between tet and tricu:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {10} between dip and pecu:   162°
  • at {4} between dip and trip:   arccos(-sqrt[(5+2 sqrt(5))/15]) = 142.622632°
  • at {6} between ti and tricu:   arccos[-sqrt(5/8)] = 142.238756°
  • at {3} between pecu and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {4} between pecu and tricu:   135°
  • at {3} between tricu and trip:   arccos[-sqrt(3/8)] = 127.761244°
  • at {4} between dip and dip:   arccos(-1/sqrt(5)) = 116.565051°
  • at {5} between pecu and ti:   108°
  • at {3} between tid and trip:   90°
  • at {10} between dip and tid:   90°
Face vector 180, 450, 366, 96
Confer
uniform relatives:
tiddip  
segmentochora:
tiatid  
related CRFs:
twau etiatid   twau etiatidbicu   twagy etiatid   twagy etiatidbicu  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

xoo3xxx5oxx&#xt   → height(1,2) = 1/2
                    height(2,3) = 1
(ti || pseudo tid || tid)

o..3o..5o..    | 60  *  * |  1  2   2  0  0  0  0  0 |  2  1  2  2  1  0  0  0  0  0  0 | 1  2  1  1  0  0 0
.o.3.o.5.o.    |  * 60  * |  0  0   2  2  1  1  0  0 |  0  0  1  2  2  1  2  2  1  0  0 | 0  1  1  2  1  2 0
..o3..o5..o    |  *  * 60 |  0  0   0  0  0  1  2  1 |  0  0  0  0  0  0  0  2  1  1  2 | 0  0  0  0  1  2 1
---------------+----------+--------------------------+----------------------------------+-------------------
x.. ... ...    |  2  0  0 | 30  *   *  *  *  *  *  * |  2  0  2  0  0  0  0  0  0  0  0 | 1  2  1  0  0  0 0
... x.. ...    |  2  0  0 |  * 60   *  *  *  *  *  * |  1  1  0  1  0  0  0  0  0  0  0 | 1  1  0  1  0  0 0
oo.3oo.5oo.&#x |  1  1  0 |  *  * 120  *  *  *  *  * |  0  0  1  1  1  0  0  0  0  0  0 | 0  1  1  1  0  0 0
... .x. ...    |  0  2  0 |  *  *   * 60  *  *  *  * |  0  0  0  1  0  1  1  1  0  0  0 | 0  1  0  1  1  1 0
... ... .x.    |  0  2  0 |  *  *   *  * 30  *  *  * |  0  0  0  0  2  0  2  0  1  0  0 | 0  0  1  2  0  2 0
.oo3.oo5.oo&#x |  0  1  1 |  *  *   *  *  * 60  *  * |  0  0  0  0  0  0  0  2  1  0  0 | 0  0  0  0  1  2 0
... ..x ...    |  0  0  2 |  *  *   *  *  *  * 60  * |  0  0  0  0  0  0  0  1  0  1  1 | 0  0  0  0  1  1 1
... ... ..x    |  0  0  2 |  *  *   *  *  *  *  * 30 |  0  0  0  0  0  0  0  0  1  0  2 | 0  0  0  0  0  2 1
---------------+----------+--------------------------+----------------------------------+-------------------
x..3x.. ...    |  6  0  0 |  3  3   0  0  0  0  0  0 | 20  *  *  *  *  *  *  *  *  *  * | 1  1  0  0  0  0 0
... x..5o..    |  5  0  0 |  0  5   0  0  0  0  0  0 |  * 12  *  *  *  *  *  *  *  *  * | 1  0  0  1  0  0 0
xo. ... ...&#x |  2  1  0 |  1  0   2  0  0  0  0  0 |  *  * 60  *  *  *  *  *  *  *  * | 0  1  1  0  0  0 0
... xx. ...&#x |  2  2  0 |  0  1   2  1  0  0  0  0 |  *  *  * 60  *  *  *  *  *  *  * | 0  1  0  1  0  0 0
... ... ox.&#x |  1  2  0 |  0  0   2  0  1  0  0  0 |  *  *  *  * 60  *  *  *  *  *  * | 0  0  1  1  0  0 0
.o.3.x. ...    |  0  3  0 |  0  0   0  3  0  0  0  0 |  *  *  *  *  * 20  *  *  *  *  * | 0  1  0  0  1  0 0
... .x.5.x.    |  0 10  0 |  0  0   0  5  5  0  0  0 |  *  *  *  *  *  * 12  *  *  *  * | 0  0  0  1  0  1 0
... .xx ...&#x |  0  2  2 |  0  0   0  1  0  2  1  0 |  *  *  *  *  *  *  * 60  *  *  * | 0  0  0  0  1  1 0
... ... .xx&#x |  0  2  2 |  0  0   0  0  1  2  0  1 |  *  *  *  *  *  *  *  * 30  *  * | 0  0  0  0  0  2 0
..o3..x ...    |  0  0  3 |  0  0   0  0  0  0  3  0 |  *  *  *  *  *  *  *  *  * 20  * | 0  0  0  0  1  0 1
... ..x5..x    |  0  0 10 |  0  0   0  0  0  0  5  5 |  *  *  *  *  *  *  *  *  *  * 12 | 0  0  0  0  0  1 1
---------------+----------+--------------------------+----------------------------------+-------------------
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 | 1  *  *  *  *  * *
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 | * 20  *  *  *  * *
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 | *  * 30  *  *  * *
... xx.5ox.&#x ♦  5 10  0 |  0  5  10  5  5  0  0  0 |  0  1  0  5  5  0  1  0  0  0  0 | *  *  * 12  *  * *
.oo3.xx ...&#x ♦  0  3  3 |  0  0   0  3  0  3  3  0 |  0  0  0  0  0  1  0  3  0  1  0 | *  *  *  * 20  * *
... .xx5.xx&#x ♦  0 10 10 |  0  0   0  5  5 10  5  5 |  0  0  0  0  0  0  1  5  5  0  1 | *  *  *  *  * 12 *
..o3..x5..x    ♦  0  0 60 |  0  0   0  0  0  0 60 30 |  0  0  0  0  0  0  0  0  0 20 12 | *  *  *  *  *  * 1

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