grand stellated hecatonicosachoron alterprism,
grand stellated hecatonicosachoron atop dual grand stellated hecatonicosachoron
- general polytopal classes:
- segmentotera scaliform
links
| Acronym | gashia |
| Name |
grand stellated hecatonicosachoron antiprism, grand stellated hecatonicosachoron alterprism, grand stellated hecatonicosachoron atop dual grand stellated hecatonicosachoron |
| Circumradius | 1/sqrt(2) = 0.707107 |
| Face vector | 240, 2880, 8640, 6720, 1682 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
xo5/2oo5oo5/2ox&#x → height = sqrt(2[sqrt(5)-2]) = 0.687121
(gashi || dual gashi)
o.5/2o.5o.5/2o. | 120 * ♦ 12 12 0 | 30 60 30 0 | 12 60 60 12 0 | 1 12 30 12 1 0
.o5/2.o5.o5/2.o | * 120 ♦ 0 12 12 | 0 30 60 30 | 0 12 60 60 12 | 0 1 12 30 12 1
-------------------+---------+--------------+-------------------+------------------------+--------------------
x. .. .. .. | 2 0 | 720 * * | 5 5 0 0 | 5 10 5 0 0 | 1 5 5 1 0 0
oo5/2oo5oo5/2oo&#x | 1 1 | * 1440 * | 0 5 5 0 | 0 5 10 5 0 | 0 1 5 5 1 0
.. .. .. .x | 0 2 | * * 720 | 0 0 5 5 | 0 0 5 10 5 | 0 0 1 5 5 1
-------------------+---------+--------------+-------------------+------------------------+--------------------
x.5/2o. .. .. | 5 0 | 5 0 0 | 720 * * * | 2 2 0 0 0 | 1 2 1 0 0 0
xo .. .. ..&#x | 2 1 | 1 2 0 | * 3600 * * | 0 2 2 0 0 | 0 1 2 1 0 0
.. .. .. ox&#x | 1 2 | 0 2 1 | * * 3600 * | 0 0 2 2 0 | 0 0 1 2 1 0
.. .. .o5/2.x&#x | 0 5 | 0 0 5 | * * * 720 | 0 0 0 2 2 | 0 0 0 1 2 1
-------------------+---------+--------------+-------------------+------------------------+--------------------
x.5/2o.5o. .. ♦ 12 0 | 30 0 0 | 12 0 0 0 | 120 * * * * | 1 1 0 0 0 0
xo5/2oo .. ..&#x ♦ 5 1 | 5 5 0 | 1 5 0 0 | * 1440 * * * | 0 1 1 0 0 0
xo .. .. ox&#x ♦ 2 2 | 1 4 1 | 0 2 2 0 | * * 3600 * * | 0 0 1 1 0 0
.. .. oo5/2ox&#x ♦ 1 5 | 0 5 5 | 0 0 5 1 | * * * 1440 * | 0 0 0 1 1 0
.. .o5.o5/2.x ♦ 0 12 | 0 0 30 | 0 0 0 12 | * * * * 120 | 0 0 0 0 1 1
-------------------+---------+--------------+-------------------+------------------------+--------------------
x.5/2o.5o.5/2o. ♦ 120 0 | 720 0 0 | 720 0 0 0 | 120 0 0 0 0 | 1 * * * * *
xo5/2oo5oo ..&#x ♦ 12 1 | 30 12 0 | 12 30 0 0 | 1 12 0 0 0 | * 120 * * * *
xo5/2oo .. ox&#x ♦ 5 2 | 5 10 1 | 1 10 5 0 | 0 2 5 0 0 | * * 720 * * *
xo .. oo5/2ox&#x ♦ 2 5 | 1 10 5 | 0 5 10 1 | 0 0 5 2 0 | * * * 720 * *
.. oo5oo5/2ox&#x ♦ 1 12 | 0 12 30 | 0 0 30 12 | 0 0 0 12 1 | * * * * 120 *
.o5/2.o5.o5/2.x ♦ 0 120 | 0 0 720 | 0 0 0 720 | 0 0 0 0 120 | * * * * * 1
or o.5/2o.5o.5/2o. & | 240 ♦ 12 12 | 30 90 | 12 72 60 | 1 13 42 ---------------------+-----+-----------+-----------+---------------+----------- x. .. .. .. & | 2 | 1440 * | 5 5 | 5 10 5 | 1 5 6 oo5/2oo5oo5/2oo&#x | 2 | * 1440 | 0 10 | 0 10 10 | 0 2 10 ---------------------+-----+-----------+-----------+---------------+----------- x.5/2o. .. .. & | 5 | 5 0 | 1440 * | 2 2 0 | 1 2 1 xo .. .. ..&#x & | 3 | 1 2 | * 7200 | 0 2 2 | 0 1 3 ---------------------+-----+-----------+-----------+---------------+----------- x.5/2o.5o. .. & ♦ 12 | 30 0 | 12 0 | 240 * * | 1 1 0 xo5/2oo .. ..&#x & ♦ 6 | 5 5 | 1 5 | * 2880 * | 0 1 1 xo .. .. ox&#x ♦ 4 | 2 4 | 0 4 | * * 3600 | 0 0 2 ---------------------+-----+-----------+-----------+---------------+----------- x.5/2o.5o.5/2o. & ♦ 120 | 720 0 | 720 0 | 120 0 0 | 2 * * xo5/2oo5oo ..&#x & ♦ 13 | 30 12 | 12 30 | 1 12 0 | * 240 * xo5/2oo .. ox&#x & ♦ 7 | 6 10 | 1 15 | 0 2 5 | * * 1440
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