Acronym | tetaco, tet || co, K-4.23 |
Name |
tetrahedron atop cuboctahedron, tetrahedral rotunda of small prismatodecachoron |
Segmentochoron display | |
Circumradius | 1 |
Lace city in approx. ASCII-art |
x3o o3o -- x3o3o (tet) x3o x3x o3x -- x3o3x (co) |
x o o x -- x3o3o (tet) x x ou uo x x -- x3o3x (co) | |
Volume | 35 sqrt(5)/96 = 0.815233 |
Dihedral angles | |
Face vector | 16, 42, 42, 16 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
xx3oo3ox&#x → height = sqrt(5/8) = 0.790569
(tet || co)
o.3o.3o. | 4 * ♦ 3 3 0 0 | 3 6 3 0 0 0 | 1 3 3 1 0
.o3.o3.o | * 12 | 0 1 2 2 | 0 2 2 1 2 1 | 0 1 2 1 1
------------+------+------------+---------------+----------
x. .. .. | 2 0 | 6 * * * | 2 2 0 0 0 0 | 1 2 1 0 0
oo3oo3oo&#x | 1 1 | * 12 * * | 0 2 2 0 0 0 | 0 1 2 1 0
.x .. .. | 0 2 | * * 12 * | 0 1 0 1 1 0 | 0 1 1 0 1
.. .. .x | 0 2 | * * * 12 | 0 0 1 0 1 1 | 0 0 1 1 1
------------+------+------------+---------------+----------
x.3o. .. | 3 0 | 3 0 0 0 | 4 * * * * * | 1 1 0 0 0
xx .. ..&#x | 2 2 | 1 2 1 0 | * 12 * * * * | 0 1 1 0 0
.. .. ox&#x | 1 2 | 0 2 0 1 | * * 12 * * * | 0 0 1 1 0
.x3.o .. | 0 3 | 0 0 3 0 | * * * 4 * * | 0 1 0 0 1
.x .. .x | 0 4 | 0 0 2 2 | * * * * 6 * | 0 0 1 0 1
.. .o3.x | 0 3 | 0 0 0 3 | * * * * * 4 | 0 0 0 1 1
------------+------+------------+---------------+----------
x.3o.3o. ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 | 1 * * * *
xx3oo ..&#x ♦ 3 3 | 3 3 3 0 | 1 3 0 1 0 0 | * 4 * * *
xx .. ox&#x ♦ 2 4 | 1 4 2 2 | 0 2 2 0 1 0 | * * 6 * *
.. oo3ox&#x ♦ 1 3 | 0 3 0 3 | 0 0 3 0 0 1 | * * * 4 *
.x3.o3.x ♦ 0 12 | 0 0 12 12 | 0 0 0 4 6 4 | * * * * 1
xx3/2oo3/2ox&#x → height = sqrt(5/8) = 0.790569
(tet || co)
o.3/2o.3/2o. | 4 * ♦ 3 3 0 0 | 3 6 3 0 0 0 | 1 3 3 1 0
.o3/2.o3/2.o | * 12 | 0 1 2 2 | 0 2 2 1 2 1 | 0 1 2 1 1
----------------+------+------------+---------------+----------
x. .. .. | 2 0 | 6 * * * | 2 2 0 0 0 0 | 1 2 1 0 0
oo3/2oo3/2oo&#x | 1 1 | * 12 * * | 0 2 2 0 0 0 | 0 1 2 1 0
.x .. .. | 0 2 | * * 12 * | 0 1 0 1 1 0 | 0 1 1 0 1
.. .. .x | 0 2 | * * * 12 | 0 0 1 0 1 1 | 0 0 1 1 1
----------------+------+------------+---------------+----------
x.3/2o. .. | 3 0 | 3 0 0 0 | 4 * * * * * | 1 1 0 0 0
xx .. ..&#x | 2 2 | 1 2 1 0 | * 12 * * * * | 0 1 1 0 0
.. .. ox&#x | 1 2 | 0 2 0 1 | * * 12 * * * | 0 0 1 1 0
.x3/2.o .. | 0 3 | 0 0 3 0 | * * * 4 * * | 0 1 0 0 1
.x .. .x | 0 4 | 0 0 2 2 | * * * * 6 * | 0 0 1 0 1
.. .o3/2.x | 0 3 | 0 0 0 3 | * * * * * 4 | 0 0 0 1 1
----------------+------+------------+---------------+----------
x.3/2o.3/2o. ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 | 1 * * * *
xx3/2oo ..&#x ♦ 3 3 | 3 3 3 0 | 1 3 0 1 0 0 | * 4 * * *
xx .. ox&#x ♦ 2 4 | 1 4 2 2 | 0 2 2 0 1 0 | * * 6 * *
.. oo3/2ox&#x ♦ 1 3 | 0 3 0 3 | 0 0 3 0 0 1 | * * * 4 *
.x3/2.o3/2.x ♦ 0 12 | 0 0 12 12 | 0 0 0 4 6 4 | * * * * 1
oo3ox4so&#x → height = sqrt(5/8) = 0.790569
(tet || co)
demi( o.3o.4o. ) | 4 * ♦ 3 3 0 0 | 3 3 6 0 0 0 | 1 1 3 0 3
.o3.o4.o | * 12 | 0 1 2 2 | 0 2 2 1 1 2 | 0 1 2 1 1
--------------------+------+------------+---------------+----------
.. o.4s. | 2 0 | 6 * * * | 2 0 2 0 0 0 | 1 0 1 0 2
demi( oo3oo4oo&#x ) | 1 1 | * 12 * * | 0 2 2 0 0 0 | 0 1 2 0 1
demi( .. .x .. ) | 0 2 | * * 12 * | 0 1 0 1 0 1 | 0 1 1 1 0
demi( .. .x .. ) | 0 2 | * * * 12 | 0 0 1 0 1 1 | 0 0 1 1 1
--------------------+------+------------+---------------+----------
sefa( o.3o.4s. ) | 3 0 | 3 0 0 0 | 4 * * * * * | 1 0 0 0 1
demi( .. ox ..&#x ) | 1 2 | 0 2 1 0 | * 12 * * * * | 0 1 1 0 0
sefa( .. ox4so&#x ) | 2 2 | 1 2 0 1 | * * 12 * * * | 0 0 1 0 1
demi( .o3.x .. ) | 0 3 | 0 0 3 0 | * * * 4 * * | 0 1 0 1 0
demi( .o3.x .. ) | 0 3 | 0 0 0 3 | * * * * 4 * | 0 0 0 1 1
.. .x4.o | 0 4 | 0 0 2 2 | * * * * * 6 | 0 0 1 1 0
--------------------+------+------------+---------------+----------
o.3o.4s. ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 | 1 * * * *
demi( oo3ox ..&#x ) ♦ 1 3 | 0 3 3 0 | 0 3 0 1 0 0 | * 4 * * *
.. ox4so&#x ♦ 2 4 | 1 4 2 2 | 0 2 2 0 0 1 | * * 6 * *
.o3.x4.o ♦ 0 12 | 0 0 12 12 | 0 0 0 4 4 6 | * * * 1 *
sefa( oo3ox4so&#x ) ♦ 3 3 | 3 3 0 3 | 1 0 3 0 1 0 | * * * * 4
starting figure: oo3ox4xo&#x
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