Acronym | tutatoe, tut || toe, K-4.76 |
Name |
truncated tetrahedron atop truncated octahedron, truncated-tetrahedral cap of prismatorhombated pentachoron, tetrahedral canticupola |
© | |
Segmentochoron display | |
Circumradius | sqrt(13/5) = 1.612452 |
Lace city in approx. ASCII-art |
o3x o3u x3x -- o3x3x (tut) x3x x3u u3x x3x -- x3x3x (toe) |
o x x u u x x o -- o3x3x (tut) x x u u xw wx u u x x -- x3x3x (toe) | |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
|
Face vector | 36, 78, 58, 16 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
xx3xx3ox&#x → height = sqrt(5/8) = 0.790569
(tut || toe)
o.3o.3o. | 12 * | 1 2 2 0 0 0 | 2 1 2 2 1 0 0 0 | 1 2 1 1 0
.o3.o3.o | * 24 | 0 0 1 1 1 1 | 0 0 1 1 1 1 1 1 | 0 1 1 1 1
------------+-------+------------------+--------------------+----------
x. .. .. | 2 0 | 6 * * * * * | 2 0 2 0 0 0 0 0 | 1 2 1 0 0
.. x. .. | 2 0 | * 12 * * * * | 1 1 0 1 0 0 0 0 | 1 1 0 1 0
oo3oo3oo&#x | 1 1 | * * 24 * * * | 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x .. .. | 0 2 | * * * 12 * * | 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .x .. | 0 2 | * * * * 12 * | 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x | 0 2 | * * * * * 12 | 0 0 0 0 1 0 1 1 | 0 0 1 1 1
------------+-------+------------------+--------------------+----------
x.3x. .. | 6 0 | 3 3 0 0 0 0 | 4 * * * * * * * | 1 1 0 0 0
.. x.3o. | 3 0 | 0 3 0 0 0 0 | * 4 * * * * * * | 1 0 0 1 0
xx .. ..&#x | 2 2 | 1 0 2 1 0 0 | * * 12 * * * * * | 0 1 1 0 0
.. xx ..&#x | 2 2 | 0 1 2 0 1 0 | * * * 12 * * * * | 0 1 0 1 0
.. .. ox&#x | 1 2 | 0 0 2 0 0 1 | * * * * 12 * * * | 0 0 1 1 0
.x3.x .. | 0 6 | 0 0 0 3 3 0 | * * * * * 4 * * | 0 1 0 0 1
.x .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * 6 * | 0 0 1 0 1
.. .x3.x | 0 6 | 0 0 0 0 3 3 | * * * * * * * 4 | 0 0 0 1 1
------------+-------+------------------+--------------------+----------
x.3x.3o. ♦ 12 0 | 6 12 0 0 0 0 | 4 4 0 0 0 0 0 0 | 1 * * * *
xx3xx ..&#x ♦ 6 6 | 3 3 6 3 3 0 | 1 0 3 3 0 1 0 0 | * 4 * * *
xx .. ox&#x ♦ 2 4 | 1 0 4 2 0 2 | 0 0 2 0 2 0 1 0 | * * 6 * *
.. xx3ox&#x ♦ 3 6 | 0 3 6 0 3 3 | 0 1 0 3 3 0 0 1 | * * * 4 *
.x3.x3.x ♦ 0 24 | 0 0 0 12 12 12 | 0 0 0 0 0 4 6 4 | * * * * 1
xx3ox4so&#x → height = sqrt(5/8) = 0.790569
(tut || toe)
demi( o.3o.4o. ) | 12 * | 2 1 2 0 0 0 | 1 2 2 1 2 0 0 0 | 1 1 1 2 0
.o3.o4.o | * 24 | 0 0 1 1 1 1 | 0 0 1 1 1 1 1 1 | 0 1 1 1 1
--------------------+-------+------------------+--------------------+----------
demi( x. .. .. ) | 2 0 | 12 * * * * * | 1 1 1 0 0 0 0 0 | 1 1 0 1 0
.. o.4s. | 2 0 | * 6 * * * * | 0 2 0 0 2 0 0 0 | 1 0 1 2 0
demi( oo3oo4oo&#x ) | 1 1 | * * 24 * * * | 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x .. .. | 0 2 | * * * 12 * * | 0 0 1 0 0 1 1 0 | 0 1 0 1 1
demi( .. .x .. ) | 0 2 | * * * * 12 * | 0 0 0 0 1 1 0 1 | 0 0 1 1 1
demi( .. .x .. ) | 0 2 | * * * * * 12 | 0 0 0 1 0 0 1 1 | 0 1 1 0 1
--------------------+-------+------------------+--------------------+----------
demi( x.3o. .. ) | 3 0 | 3 0 0 0 0 0 | 4 * * * * * * * | 1 1 0 0 0
sefa( x.3o.4s. ) | 6 0 | 3 3 0 0 0 0 | * 4 * * * * * * | 1 0 0 1 0
demi( xx .. ..&#x ) | 2 2 | 1 0 2 1 0 0 | * * 12 * * * * * | 0 1 0 1 0
demi( .. ox ..&#x ) | 1 2 | 0 0 2 0 0 1 | * * * 12 * * * * | 0 1 1 0 0
sefa( .. ox4so&#x ) | 2 2 | 0 1 2 0 1 0 | * * * * 12 * * * | 0 0 1 1 0
demi( .x3.x .. ) | 0 6 | 0 0 0 3 3 0 | * * * * * 4 * * | 0 0 0 1 1
demi( .x3.x .. ) | 0 6 | 0 0 0 3 0 3 | * * * * * * 4 * | 0 1 0 0 1
.. .x4.o | 0 4 | 0 0 0 0 2 2 | * * * * * * * 6 | 0 0 1 0 1
--------------------+-------+------------------+--------------------+----------
x.3o.4s. ♦ 12 0 | 12 6 0 0 0 0 | 4 4 0 0 0 0 0 0 | 1 * * * *
demi( xx3ox ..&#x ) ♦ 3 6 | 3 0 6 3 0 3 | 1 0 3 3 0 0 1 0 | * 4 * * *
.. ox4so&#x ♦ 2 4 | 0 1 4 0 2 2 | 0 0 0 2 2 0 0 1 | * * 6 * *
sefa( xx3ox4so&#x ) ♦ 6 6 | 3 3 6 3 3 0 | 0 1 3 0 3 1 0 0 | * * * 4 *
.x3.x4.o ♦ 0 24 | 0 0 0 12 12 12 | 0 0 0 0 0 4 4 6 | * * * * 1
starting figure: xx3ox4xo&#x
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