Acronym | prahip (old: prahipe) |
Name |
prismatorhombated-hexacosachoron prism, runcitruncated-hexacosachoron prism |
Circumradius | sqrt[141+60 sqrt(5)]/2 = 8.294035 |
Dihedral angles |
|
Face vector | 14400, 43200, 44880, 18720, 2642 |
Confer |
|
External links |
Incidence matrix according to Dynkin symbol
x x3x3o5x . . . . . | 14400 | 1 1 2 2 | 1 2 2 2 2 1 2 1 | 2 2 1 2 1 1 2 1 1 | 1 2 1 1 1 ----------+-------+-----------------------+-----------------------------------------+---------------------------------------------+------------------- x . . . . | 2 | 7200 * * * | 1 2 2 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0 . x . . . | 2 | * 7200 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 2 1 0 | 1 2 1 0 1 . . x . . | 2 | * * 14400 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . . x | 2 | * * * 14400 | 0 0 1 0 1 0 1 1 | 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------+-------+-----------------------+-----------------------------------------+---------------------------------------------+------------------- x x . . . | 4 | 2 2 0 0 | 3600 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 7200 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 0 2 | * * 7200 * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 4800 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 0 2 | * * * * 7200 * * * | 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3o . | 3 | 0 0 3 0 | * * * * * 4800 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 2 | * * * * * * 7200 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o5x | 5 | 0 0 0 5 | * * * * * * * 2880 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+-------+-----------------------+-----------------------------------------+---------------------------------------------+------------------- x x3x . . ♦ 12 | 6 6 6 0 | 3 3 0 2 0 0 0 0 | 2400 * * * * * * * * | 1 1 0 0 0 x x . . x ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 0 | * 3600 * * * * * * * | 0 1 1 0 0 x . x3o . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 | * * 2400 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 3600 * * * * * | 0 1 0 1 0 x . . o5x ♦ 10 | 5 0 0 10 | 0 0 5 0 0 0 0 2 | * * * * 1440 * * * * | 0 0 1 1 0 . x3x3o . ♦ 12 | 0 6 12 0 | 0 0 0 4 0 4 0 0 | * * * * * 1200 * * * | 1 0 0 0 1 . x3x . x ♦ 12 | 0 6 6 6 | 0 0 0 2 3 0 3 0 | * * * * * * 2400 * * | 0 1 0 0 1 . x . o5x ♦ 10 | 0 5 0 10 | 0 0 0 0 5 0 0 2 | * * * * * * * 1440 * | 0 0 1 0 1 . . x3o5x ♦ 60 | 0 0 60 60 | 0 0 0 0 0 20 30 12 | * * * * * * * * 240 | 0 0 0 1 1 ----------+-------+-----------------------+-----------------------------------------+---------------------------------------------+------------------- x x3x3o . ♦ 24 | 12 12 24 0 | 6 12 0 8 0 8 0 0 | 4 0 4 0 0 2 0 0 0 | 600 * * * * x x3x . x ♦ 24 | 12 12 12 12 | 6 6 6 4 6 0 6 0 | 2 3 0 3 0 0 2 0 0 | * 1200 * * * x x . o5x ♦ 20 | 10 10 0 20 | 5 0 10 0 10 0 0 4 | 0 5 0 0 2 0 0 2 0 | * * 720 * * x . x3o5x ♦ 120 | 60 0 120 120 | 0 60 60 0 0 40 60 24 | 0 0 20 30 12 0 0 0 2 | * * * 120 * . x3x3o5x ♦ 7200 | 0 3600 7200 7200 | 0 0 0 2400 3600 2400 3600 1440 | 0 0 0 0 0 600 1200 720 120 | * * * * 2
xx3xx3oo5xx&#x → height = 1
(prahi || prahi)
o.3o.3o.5o. | 7200 * | 1 2 2 1 0 0 0 | 2 2 1 2 1 1 2 2 0 0 0 0 0 | 1 2 1 1 2 2 1 2 1 0 0 0 0 | 1 1 2 1 1 0
.o3.o3.o5.o | * 7200 | 0 0 0 1 1 2 2 | 0 0 0 0 0 1 2 2 2 2 1 2 1 | 0 0 0 0 2 2 1 2 1 1 2 1 1 | 0 1 2 1 1 1
---------------+-----------+------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x. .. .. .. | 2 0 | 3600 * * * * * * | 1 1 0 0 0 1 0 0 0 0 0 0 0 | 1 2 1 0 2 2 0 0 0 0 0 0 0 | 1 1 2 1 0 0
.. x. .. .. | 2 0 | * 7200 * * * * * | 1 0 1 1 0 0 1 0 0 0 0 0 0 | 1 1 0 1 1 0 1 1 0 0 0 0 0 | 1 1 1 0 1 0
.. .. .. x. | 2 0 | * * 7200 * * * * | 0 1 0 1 1 0 0 1 0 0 0 0 0 | 0 1 1 1 0 1 0 1 1 0 0 0 0 | 1 0 1 1 1 0
oo3oo3oo5oo&#x | 1 1 | * * * 7200 * * * | 0 0 0 0 0 1 2 2 0 0 0 0 0 | 0 0 0 0 2 2 1 2 1 0 0 0 0 | 0 1 2 1 1 0
.x .. .. .. | 0 2 | * * * * 3600 * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 | 0 0 0 0 2 2 0 0 0 1 2 1 0 | 0 1 2 1 0 1
.. .x .. .. | 0 2 | * * * * * 7200 * | 0 0 0 0 0 0 1 0 1 0 1 1 0 | 0 0 0 0 1 0 1 1 0 1 1 0 1 | 0 1 1 0 1 1
.. .. .. .x | 0 2 | * * * * * * 7200 | 0 0 0 0 0 0 0 1 0 1 0 1 1 | 0 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1
---------------+-----------+------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x.3x. .. .. | 6 0 | 3 3 0 0 0 0 0 | 2400 * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
x. .. .. x. | 4 0 | 2 0 2 0 0 0 0 | * 3600 * * * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
.. x.3o. .. | 3 0 | 0 3 0 0 0 0 0 | * * 2400 * * * * * * * * * * | 1 0 0 1 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
.. x. .. x. | 4 0 | 0 2 2 0 0 0 0 | * * * 3600 * * * * * * * * * | 0 1 0 1 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
.. .. o.5x. | 5 0 | 0 0 5 0 0 0 0 | * * * * 1440 * * * * * * * * | 0 0 1 1 0 0 0 0 1 0 0 0 0 | 1 0 0 1 1 0
xx .. .. ..&#x | 2 2 | 1 0 0 2 1 0 0 | * * * * * 3600 * * * * * * * | 0 0 0 0 2 2 0 0 0 0 0 0 0 | 0 1 2 1 0 0
.. xx .. ..&#x | 2 2 | 0 1 0 2 0 1 0 | * * * * * * 7200 * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. .. xx&#x | 2 2 | 0 0 1 2 0 0 1 | * * * * * * * 7200 * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x3.x .. .. | 0 6 | 0 0 0 0 3 3 0 | * * * * * * * * 2400 * * * * | 0 0 0 0 1 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .. .x | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * * 3600 * * * | 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x3.o .. | 0 3 | 0 0 0 0 0 3 0 | * * * * * * * * * * 2400 * * | 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x .. .x | 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * * * * 3600 * | 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .o5.x | 0 5 | 0 0 0 0 0 0 5 | * * * * * * * * * * * * 1440 | 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-----------+------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x.3x.3o. .. ♦ 12 0 | 6 12 0 0 0 0 0 | 4 0 4 0 0 0 0 0 0 0 0 0 0 | 600 * * * * * * * * * * * * | 1 1 0 0 0 0
x.3x. .. x. ♦ 12 0 | 6 6 6 0 0 0 0 | 2 3 0 3 0 0 0 0 0 0 0 0 0 | * 1200 * * * * * * * * * * * | 1 0 1 0 0 0
x. .. o.5x. ♦ 10 0 | 5 0 10 0 0 0 0 | 0 5 0 0 2 0 0 0 0 0 0 0 0 | * * 720 * * * * * * * * * * | 1 0 0 1 0 0
.. x.3o.5x. ♦ 60 0 | 0 60 60 0 0 0 0 | 0 0 20 30 12 0 0 0 0 0 0 0 0 | * * * 120 * * * * * * * * * | 1 0 0 0 1 0
xx3xx .. ..&#x ♦ 6 6 | 3 3 0 6 3 3 0 | 1 0 0 0 0 3 3 0 1 0 0 0 0 | * * * * 2400 * * * * * * * * | 0 1 1 0 0 0
xx .. .. xx&#x ♦ 4 4 | 2 0 2 4 2 0 2 | 0 1 0 0 0 2 0 2 0 1 0 0 0 | * * * * * 3600 * * * * * * * | 0 0 1 1 0 0
.. xx3oo ..&#x ♦ 3 3 | 0 3 0 3 0 3 0 | 0 0 1 0 0 0 3 0 0 0 1 0 0 | * * * * * * 2400 * * * * * * | 0 1 0 0 1 0
.. xx .. xx&#x ♦ 4 4 | 0 2 2 4 0 2 2 | 0 0 0 1 0 0 2 2 0 0 0 1 0 | * * * * * * * 3600 * * * * * | 0 0 1 0 1 0
.. .. oo5xx&#x ♦ 5 5 | 0 0 5 5 0 0 5 | 0 0 0 0 1 0 0 5 0 0 0 0 1 | * * * * * * * * 1440 * * * * | 0 0 0 1 1 0
.x3.x3.o .. ♦ 0 12 | 0 0 0 0 6 12 0 | 0 0 0 0 0 0 0 0 4 0 4 0 0 | * * * * * * * * * 600 * * * | 0 1 0 0 0 1
.x3.x .. .x ♦ 0 12 | 0 0 0 0 6 6 6 | 0 0 0 0 0 0 0 0 2 3 0 3 0 | * * * * * * * * * * 1200 * * | 0 0 1 0 0 1
.x .. .o5.x ♦ 0 10 | 0 0 0 0 5 0 10 | 0 0 0 0 0 0 0 0 0 5 0 0 2 | * * * * * * * * * * * 720 * | 0 0 0 1 0 1
.. .x3.o5.x ♦ 0 60 | 0 0 0 0 0 60 60 | 0 0 0 0 0 0 0 0 0 0 20 30 12 | * * * * * * * * * * * * 120 | 0 0 0 0 1 1
---------------+-----------+------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x.3x.3o.5x. ♦ 7200 0 | 3600 7200 7200 0 0 0 0 | 2400 3600 2400 3600 1440 0 0 0 0 0 0 0 0 | 600 1200 720 120 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xx3xx3oo ..&#x ♦ 12 12 | 6 12 0 12 6 12 0 | 4 0 4 0 0 6 12 0 4 0 4 0 0 | 1 0 0 0 4 0 4 0 0 1 0 0 0 | * 600 * * * *
xx3xx .. xx&#x ♦ 12 12 | 6 6 6 12 6 6 6 | 2 3 0 3 0 6 6 6 2 3 0 3 0 | 0 1 0 0 2 3 0 3 0 0 1 0 0 | * * 1200 * * *
xx .. oo5xx&#x ♦ 10 10 | 5 0 10 10 5 0 10 | 0 5 0 0 2 5 0 10 0 5 0 0 2 | 0 0 1 0 0 5 0 0 2 0 0 1 0 | * * * 720 * *
.. xx3oo5xx&#x ♦ 60 60 | 0 60 60 60 0 60 60 | 0 0 20 30 12 0 60 60 0 0 20 30 12 | 0 0 0 1 0 0 20 30 12 0 0 0 1 | * * * * 120 *
.x3.x3.o5.x ♦ 0 7200 | 0 0 0 0 3600 7200 7200 | 0 0 0 0 0 0 0 0 2400 3600 2400 3600 1440 | 0 0 0 0 0 0 0 0 0 600 1200 720 120 | * * * * * 1
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