Acronym | taccup |
Name |
triacontiditeron prism, vertex figure of rez |
Circumradius | sqrt(3)/2 = 0.866025 |
Coordinates | (1/sqrt(2), 0, 0, 0, 0, 1/2) & all permutations in all but last coord., all changes of sign |
Volume | sqrt(2)/30 = 0.047140 |
Dihedral angles | |
Face vector | 20, 90, 200, 240, 144, 34 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x x3o3o3o4o . . . . . . | 20 | 1 8 | 8 24 | 24 32 | 32 16 | 16 1 ------------+----+-------+--------+--------+-------+----- x . . . . . | 2 | 10 * ♦ 8 0 | 24 0 | 32 0 | 16 0 . x . . . . | 2 | * 80 | 1 6 | 6 12 | 12 8 | 8 1 ------------+----+-------+--------+--------+-------+----- x x . . . . | 4 | 2 2 | 40 * ♦ 6 0 | 12 0 | 8 0 . x3o . . . | 3 | 0 3 | * 160 | 1 4 | 4 4 | 4 1 ------------+----+-------+--------+--------+-------+----- x x3o . . . ♦ 6 | 3 6 | 3 2 | 80 * | 4 0 | 4 0 . x3o3o . . ♦ 4 | 0 6 | 0 4 | * 160 | 1 2 | 2 1 ------------+----+-------+--------+--------+-------+----- x x3o3o . . ♦ 8 | 4 12 | 6 8 | 4 2 | 80 * | 2 0 . x3o3o3o . ♦ 5 | 0 10 | 0 10 | 0 5 | * 64 | 1 1 ------------+----+-------+--------+--------+-------+----- x x3o3o3o . ♦ 10 | 5 20 | 10 20 | 10 10 | 5 2 | 32 * . x3o3o3o4o ♦ 10 | 0 40 | 0 80 | 0 80 | 0 32 | * 2
x o3o3o *c3o3x . . . . . . | 20 | 1 8 | 8 24 | 24 32 | 32 8 8 | 8 8 1 ---------------+----+-------+--------+--------+----------+-------- x . . . . . | 2 | 10 * ♦ 8 0 | 24 0 | 32 0 0 | 8 8 0 . . . . . x | 2 | * 80 | 1 6 | 6 12 | 12 4 4 | 4 4 1 ---------------+----+-------+--------+--------+----------+-------- x . . . . x | 4 | 2 2 | 40 * ♦ 6 0 | 12 0 0 | 4 4 0 . . . . o3x | 3 | 0 3 | * 160 | 1 4 | 4 2 2 | 2 2 1 ---------------+----+-------+--------+--------+----------+-------- x . . . o3x ♦ 6 | 3 6 | 3 2 | 80 * | 4 0 0 | 2 2 0 . . o . *c3o3x ♦ 4 | 0 6 | 0 4 | * 160 | 1 1 1 | 1 1 1 ---------------+----+-------+--------+--------+----------+-------- x . o . *c3o3x ♦ 8 | 4 12 | 6 8 | 4 2 | 80 * * | 1 1 0 . o3o . *c3o3x ♦ 5 | 0 10 | 0 10 | 0 5 | * 32 * | 1 0 1 . . o3o *c3o3x ♦ 5 | 0 10 | 0 10 | 0 5 | * * 32 | 0 1 1 ---------------+----+-------+--------+--------+----------+-------- x o3o . *c3o3x ♦ 10 | 5 20 | 10 20 | 10 10 | 5 2 0 | 16 * * x . o3o *c3o3x ♦ 10 | 5 20 | 10 20 | 10 10 | 5 0 2 | * 16 * . o3o3o *c3o3x ♦ 10 | 0 40 | 0 80 | 0 80 | 0 16 16 | * * 2
xx3oo3oo3oo4oo&#x → height = 1
(tac || tac)
o.3o.3o.3o.4o. | 10 * | 8 1 0 | 12 8 0 | 32 24 0 | 16 32 0 | 1 16 0
.o3.o3.o3.o4.o | * 10 | 0 1 8 | 0 8 12 | 0 24 32 | 0 32 16 | 0 16 1
------------------+-------+----------+----------+----------+----------+-------
x. .. .. .. .. | 2 0 | 40 * * | 6 1 0 | 12 6 0 | 8 12 0 | 1 8 0
oo3oo3oo3oo4oo&#x | 1 1 | * 10 * ♦ 0 8 0 | 0 24 0 | 0 32 0 | 0 16 0
.x .. .. .. .. | 0 2 | * * 40 | 0 1 6 | 0 6 12 | 0 12 8 | 0 8 1
------------------+-------+----------+----------+----------+----------+-------
x.3o. .. .. .. | 3 0 | 3 0 0 | 80 * * | 4 1 0 | 4 4 0 | 1 4 0
xx .. .. .. ..&#x | 2 2 | 1 2 1 | * 40 * ♦ 0 6 0 | 0 12 0 | 0 8 0
.x3.o .. .. .. | 0 3 | 0 0 3 | * * 80 | 0 1 4 | 0 4 4 | 0 4 1
------------------+-------+----------+----------+----------+----------+-------
x.3o.3o. .. .. ♦ 4 0 | 6 0 0 | 4 0 0 | 80 * * | 2 1 0 | 1 2 0
xx3oo .. .. ..&#x ♦ 3 3 | 3 3 3 | 1 3 1 | * 80 * | 0 4 0 | 0 4 0
.x3.o3.o .. .. ♦ 0 4 | 0 0 6 | 0 0 4 | * * 80 | 0 1 2 | 0 2 1
------------------+-------+----------+----------+----------+----------+-------
x.3o.3o.3o. .. ♦ 5 0 | 10 0 0 | 10 0 0 | 5 0 0 | 32 * * | 1 1 0
xx3oo3oo .. ..&#x ♦ 4 4 | 6 4 6 | 4 6 4 | 1 4 1 | * 80 * | 0 2 0
.x3.o3.o3.o .. ♦ 0 5 | 0 0 10 | 0 0 10 | 0 0 5 | * * 32 | 0 1 1
------------------+-------+----------+----------+----------+----------+-------
x.3o.3o.3o.4o. ♦ 10 0 | 40 0 0 | 80 0 0 | 80 0 0 | 32 0 0 | 1 * *
xx3oo3oo3oo ..&#x ♦ 5 5 | 10 5 10 | 10 10 10 | 5 10 5 | 1 5 1 | * 32 *
.x3.o3.o3.o4.o ♦ 0 10 | 0 0 40 | 0 0 80 | 0 0 80 | 0 0 32 | * * 1
oo3oo3oo *b3oo3xx&#x → height = 1
(tac || tac)
o.3o.3o. *b3o.3o. | 10 * | 8 1 0 | 24 8 0 | 32 24 0 | 8 8 32 0 0 | 1 8 8 0
.o3.o3.o *b3.o3.o | * 10 | 0 1 8 | 0 8 24 | 0 24 32 | 0 0 32 8 8 | 0 8 8 1
---------------------+-------+----------+----------+----------+----------------+----------
.. .. .. .. x. | 2 0 | 40 * * | 6 1 0 | 12 6 0 | 4 4 12 0 0 | 1 4 4 0
oo3oo3oo *b3oo3oo&#x | 1 1 | * 10 * ♦ 0 8 0 | 0 24 0 | 0 0 32 0 0 | 0 8 8 0
.. .. .. .. .x | 0 2 | * * 40 | 0 1 6 | 0 6 12 | 0 0 12 4 4 | 0 4 4 1
---------------------+-------+----------+----------+----------+----------------+----------
.. .. .. o.3x. | 3 0 | 3 0 0 | 80 * * | 4 1 0 | 2 2 4 0 0 | 1 2 2 0
.. .. .. .. xx&#x | 2 2 | 1 2 1 | * 40 * ♦ 0 6 0 | 0 0 12 0 0 | 0 4 4 0
.. .. .. .o3.x | 0 3 | 0 0 3 | * * 80 | 0 1 4 | 0 0 4 2 2 | 0 2 2 1
---------------------+-------+----------+----------+----------+----------------+----------
.. o. .. *b3o.3x. ♦ 4 0 | 6 0 0 | 4 0 0 | 80 * * | 1 1 1 0 0 | 1 1 1 0
.. .. .. oo3xx&#x ♦ 3 3 | 3 3 3 | 1 3 1 | * 80 * | 0 0 4 0 0 | 0 2 2 0
.. .o .. *b3.o3.x ♦ 0 4 | 0 0 6 | 0 0 4 | * * 80 | 0 0 1 1 1 | 0 1 1 1
---------------------+-------+----------+----------+----------+----------------+----------
o.3o. .. *b3o.3x. ♦ 5 0 | 10 0 0 | 10 0 0 | 5 0 0 | 16 * * * * | 1 1 0 0
.. o.3o. *b3o.3x. ♦ 5 0 | 10 0 0 | 10 0 0 | 5 0 0 | * 16 * * * | 1 0 1 0
.. oo .. *b3oo3xx&#x ♦ 4 4 | 6 4 6 | 4 6 4 | 1 4 1 | * * 80 * * | 0 1 1 0
.o3.o .. *b3.o3.x ♦ 0 5 | 0 0 10 | 0 0 10 | 0 0 5 | * * * 16 * | 0 1 0 1
.. .o3.o *b3.o3.x ♦ 0 5 | 0 0 10 | 0 0 10 | 0 0 5 | * * * * 16 | 0 0 1 1
---------------------+-------+----------+----------+----------+----------------+----------
o.3o.3o. *b3o.3x. ♦ 10 0 | 40 0 0 | 80 0 0 | 80 0 0 | 16 16 0 0 0 | 1 * * *
oo3oo .. *b3oo3xx&#x ♦ 5 5 | 10 5 10 | 10 10 10 | 5 10 5 | 1 0 5 1 0 | * 16 * *
.. oo3oo *b3oo3xx&#x ♦ 5 5 | 10 5 10 | 10 10 10 | 5 10 5 | 0 1 5 0 1 | * * 16 *
.o3.o3.o *b3.o3.x ♦ 0 10 | 0 0 40 | 0 0 80 | 0 0 80 | 0 0 0 16 16 | * * * 1
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