| Acronym | rojkoha |
| Name | rectified icosiheptaheptacontidipetic hexacomb alterprism |
| Circumradius | ∞ i.e. flat in euclidean space |
| Face vector | 72N, 1980N, 9120N, 13320N, 8028N, 2112N, 195N, 3N+2 |
| Confer |
|
Incidence matrix according to Dynkin symbol
oo3xo3oo3ox3oo *c3oo3oo&#x → height = 1/sqrt(3) = 0.577350
(rojkoh || alt. rojkoh)
o.3o.3o.3o.3o. *c3o.3o. & | 72N | 40 15 | 20 180 180 | 90 120 120 80 240 120 | 60 60 30 60 30 105 100 120 150 | 15 30 15 12 12 90 66 20 60 36 | 6 6 2 15 42 16 12 | 1 6 8
-----------------------------+-----+------------+------------------+-------------------------------------+--------------------------------------------------+----------------------------------------------+--------------------------+-------
.. x. .. .. .. .. .. & | 2 | 1440N * | 1 9 3 | 9 9 9 3 9 3 | 9 9 3 9 3 9 4 9 9 | 3 9 3 3 3 12 9 1 9 3 | 3 3 1 3 12 3 3 | 1 3 4
oo3oo3oo3oo3oo *c3oo3oo&#x | 2 | * 540N | 0 0 16 | 0 0 0 8 24 16 | 0 0 0 0 0 12 16 24 16 | 0 0 0 0 0 24 8 4 16 4 | 0 0 0 6 16 2 4 | 0 4 4
-----------------------------+-----+------------+------------------+-------------------------------------+--------------------------------------------------+----------------------------------------------+--------------------------+-------
o.3x. .. .. .. .. .. & | 3 | 3 0 | 480N * * | 9 0 0 3 0 0 | 9 9 0 0 0 9 3 0 0 | 3 9 3 0 0 9 9 1 0 0 | 3 3 0 3 9 3 0 | 1 3 3
.. x.3o. .. .. .. .. & | 3 | 3 0 | * 4320N * | 1 2 2 0 1 0 | 2 2 1 4 1 1 0 2 2 | 1 4 1 2 2 3 2 0 4 1 | 2 2 1 1 6 1 2 | 1 2 3
.. xo .. .. .. .. ..&#x & | 3 | 1 2 | * * 4320N | 0 0 0 1 3 2 | 0 0 0 0 0 3 3 6 3 | 0 0 0 0 0 9 3 1 6 1 | 0 0 0 3 9 1 2 | 0 3 3
-----------------------------+-----+------------+------------------+-------------------------------------+--------------------------------------------------+----------------------------------------------+--------------------------+-------
o.3x.3o. .. .. .. .. & ♦ 6 | 12 0 | 4 4 0 | 1080N * * * * * | 2 2 0 0 0 1 0 0 0 | 1 4 1 0 0 2 2 0 0 0 | 2 2 0 1 4 1 0 | 1 2 2
.. x.3o.3o. .. .. .. & ♦ 4 | 6 0 | 0 4 0 | * 2160N * * * * | 1 0 1 2 0 0 0 1 0 | 1 2 0 2 1 2 0 0 2 0 | 2 1 1 1 4 0 1 | 1 2 2
.. x.3o. .. .. *c3o. .. & ♦ 4 | 6 0 | 0 4 0 | * * 2160N * * * | 0 1 0 2 1 0 0 0 1 | 0 2 1 1 2 0 1 0 2 1 | 1 2 1 0 3 1 2 | 1 1 3
oo3xo .. .. .. .. ..&#x & ♦ 4 | 3 3 | 1 0 3 | * * * 1440N * * | 0 0 0 0 0 3 2 0 0 | 0 0 0 0 0 6 3 1 0 0 | 0 0 0 3 6 1 0 | 0 3 2
.. xo3oo .. .. .. ..&#x & ♦ 4 | 3 3 | 0 1 3 | * * * * 4320N * | 0 0 0 0 0 1 0 2 2 | 0 0 0 0 0 3 2 0 4 1 | 0 0 0 1 6 1 2 | 0 2 3
.. xo .. ox .. .. ..&#x ♦ 4 | 2 4 | 0 0 4 | * * * * * 2160N | 0 0 0 0 0 0 2 3 0 | 0 0 0 0 0 6 0 1 3 0 | 0 0 0 3 6 0 1 | 0 3 2
-----------------------------+-----+------------+------------------+-------------------------------------+--------------------------------------------------+----------------------------------------------+--------------------------+-------
o.3x.3o.3o. .. .. .. & ♦ 10 | 30 0 | 10 20 0 | 5 5 0 0 0 0 | 432N * * * * * * * * | 1 2 0 0 0 1 0 0 0 0 | 2 1 0 1 2 0 0 | 1 2 1
o.3x.3o. .. .. *c3o. .. & ♦ 10 | 30 0 | 10 20 0 | 5 0 5 0 0 0 | * 432N * * * * * * * | 0 2 1 0 0 0 1 0 0 0 | 1 2 0 0 2 1 0 | 1 1 2
.. x.3o.3o.3o. .. .. & ♦ 5 | 10 0 | 0 10 0 | 0 5 0 0 0 0 | * * 432N * * * * * * | 1 0 0 2 0 1 0 0 0 0 | 2 0 1 1 2 0 0 | 1 2 1
.. x.3o.3o. .. *c3o. .. & ♦ 8 | 24 0 | 0 32 0 | 0 8 8 0 0 0 | * * * 540N * * * * * | 0 1 0 1 1 0 0 0 1 0 | 1 1 1 0 2 0 1 | 1 1 2
.. x.3o. .. .. *c3o.3o. & ♦ 5 | 10 0 | 0 10 0 | 0 0 5 0 0 0 | * * * * 432N * * * * | 0 0 1 0 2 0 0 0 0 1 | 0 2 1 0 0 1 2 | 1 0 3
oo3xo3oo .. .. .. ..&#x & ♦ 7 | 12 6 | 4 4 12 | 1 0 0 4 4 0 | * * * * * 1080N * * * | 0 0 0 0 0 2 2 0 0 0 | 0 0 0 1 4 1 0 | 0 2 2
oo3xo .. ox .. .. ..&#x & ♦ 5 | 4 6 | 1 0 9 | 0 0 0 2 0 3 | * * * * * * 1440N * * | 0 0 0 0 0 3 0 1 0 0 | 0 0 0 3 3 0 0 | 0 3 1
.. xo3oo3ox .. .. ..&#x ♦ 8 | 12 12 | 0 8 24 | 0 2 0 0 8 6 | * * * * * * * 1080N * | 0 0 0 0 0 2 0 0 2 0 | 0 0 0 1 4 0 1 | 0 2 2
.. xo3oo .. .. *c3oo ..&#x & ♦ 5 | 6 4 | 0 4 6 | 0 0 1 0 4 0 | * * * * * * * * 2160N | 0 0 0 0 0 0 1 0 2 1 | 0 0 0 0 3 1 2 | 0 1 3
-----------------------------+-----+------------+------------------+-------------------------------------+--------------------------------------------------+----------------------------------------------+--------------------------+-------
o.3x.3o.3o.3o. .. .. & ♦ 15 | 60 0 | 20 60 0 | 15 30 0 0 0 0 | 6 0 6 0 0 0 0 0 0 | 72N * * * * * * * * * | 2 0 0 1 0 0 0 | 1 2 0
o.3x.3o.3o. .. *c3o. .. & ♦ 40 | 240 0 | 80 320 0 | 80 80 80 0 0 0 | 16 16 0 10 0 0 0 0 0 | * 54N * * * * * * * * | 1 1 0 0 1 0 0 | 1 1 1
o.3x.3o. .. .. *c3o.3o. & ♦ 15 | 60 0 | 20 60 0 | 15 0 30 0 0 0 | 0 6 0 0 6 0 0 0 0 | * * 72N * * * * * * * | 0 2 0 0 0 1 0 | 1 0 2
.. x.3o.3o.3o. *c3o. .. & ♦ 16 | 80 0 | 0 160 0 | 0 80 40 0 0 0 | 0 0 16 10 0 0 0 0 0 | * * * 54N * * * * * * | 1 0 1 0 1 0 0 | 1 1 1
.. x.3o.3o. .. *c3o.3o. & ♦ 16 | 80 0 | 0 160 0 | 0 40 80 0 0 0 | 0 0 0 10 16 0 0 0 0 | * * * * 54N * * * * * | 0 1 1 0 0 0 1 | 1 0 2
oo3xo3oo3ox .. .. ..&#x & ♦ 15 | 40 30 | 10 30 90 | 5 10 0 20 30 30 | 1 0 1 0 0 5 10 5 0 | * * * * * 432N * * * * | 0 0 0 1 2 0 0 | 0 2 1
oo3xo3oo .. .. *c3oo ..&#x & ♦ 11 | 30 10 | 10 20 30 | 5 0 5 10 20 0 | 0 1 0 0 0 5 0 0 5 | * * * * * * 432N * * * | 0 0 0 0 2 1 0 | 0 1 2
oo3xo .. ox3oo .. ..&#x ♦ 6 | 6 9 | 2 0 18 | 0 0 0 6 0 9 | 0 0 0 0 0 0 6 0 0 | * * * * * * * 240N * * | 0 0 0 3 0 0 0 | 0 3 0
.. xo3oo3ox .. *c3oo ..&#x ♦ 16 | 48 32 | 0 64 96 | 0 16 16 0 64 24 | 0 0 0 2 0 0 0 8 16 | * * * * * * * * 270N * | 0 0 0 0 2 0 1 | 0 1 2
.. xo3oo .. .. *c3oo3oo&#x & ♦ 6 | 10 5 | 0 10 10 | 0 0 5 0 10 0 | 0 0 0 0 1 0 0 0 5 | * * * * * * * * * 432N | 0 0 0 0 0 1 2 | 0 0 3
-----------------------------+-----+------------+------------------+-------------------------------------+--------------------------------------------------+----------------------------------------------+--------------------------+-------
o.3x.3o.3o.3o. *c3o. .. & ♦ 216 | 2160 0 | 720 4320 0 | 1080 2160 1080 0 0 0 | 432 216 432 270 0 0 0 0 0 | 72 27 0 27 0 0 0 0 0 0 | 2N * * * * * * | 1 1 0
o.3x.3o.3o. .. *c3o.3o. & ♦ 216 | 2160 0 | 720 4320 0 | 1080 1080 2160 0 0 0 | 216 432 0 270 432 0 0 0 0 | 0 27 72 0 27 0 0 0 0 0 | * 2N * * * * * | 1 0 1
.. x.3o.3o.3o. *c3o.3o. & ♦ 72 | 720 0 | 0 2160 0 | 0 1080 1080 0 0 0 | 0 0 216 270 216 0 0 0 0 | 0 0 0 27 27 0 0 0 0 0 | * * 2N * * * * | 1 0 1
oo3xo3oo3ox3oo .. ..&#x ♦ 30 | 120 90 | 40 120 360 | 30 60 0 120 120 180 | 12 0 12 0 0 30 120 30 0 | 2 0 0 0 0 12 0 20 0 0 | * * * 36N * * * | 0 2 0
oo3xo3oo3ox .. *c3oo ..&#x & ♦ 56 | 320 160 | 80 480 720 | 80 160 120 160 480 240 | 16 16 16 20 0 80 80 80 120 | 0 1 0 1 0 16 16 0 10 0 | * * * * 54N * * | 0 1 1
oo3xo3oo .. .. *c3oo3oo&#x & ♦ 16 | 60 15 | 20 60 60 | 15 0 30 20 60 0 | 0 6 0 0 6 15 0 0 30 | 0 0 1 0 0 0 6 0 0 6 | * * * * * 72N * | 0 0 2
.. xo3oo3ox .. *c3oo3oo&#x ♦ 32 | 160 80 | 0 320 320 | 0 80 160 0 320 80 | 0 0 0 20 32 0 0 40 160 | 0 0 0 0 2 0 0 0 10 32 | * * * * * * 27N | 0 0 2
-----------------------------+-----+------------+------------------+-------------------------------------+--------------------------------------------------+----------------------------------------------+--------------------------+-------
o.3x.3o.3o.3o. *c3o.3o. & ♦ 36N | 720N 0 | 240N 2160N 0 | 540N 1080N 1080N 0 0 0 | 216N 216N 216N 270N 216N 0 0 0 0 | 36N 27N 36N 27N 27N 0 0 0 0 0 | N N N 0 0 0 0 | 2 * *
oo3xo3oo3ox3oo *c3oo ..&#x ♦ 432 | 4320 2160 | 1440 8640 12960 | 2160 4320 2160 4320 8640 6480 | 864 432 864 540 0 2160 4320 2160 2160 | 144 54 0 54 0 864 432 720 270 0 | 2 0 0 72 54 0 0 | * N *
oo3xo3oo3ox .. *c3oo3oo&#x & ♦ 288 | 2880 1080 | 720 6480 6480 | 1080 2160 3240 1440 6480 2160 | 216 432 216 540 648 1080 720 1080 3240 | 0 27 72 27 54 216 432 0 270 648 | 0 1 1 0 27 72 27 | * * 2N
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