| Acronym | siphina pirhin, siphin || pirhin |
| Name | (degenerate) siphin atop pirhin |
| Circumradius | ∞ i.e. flat in euclidean space |
| Face vector | 400, 1840, 3120, 2320, 724, 84 |
| Confer |
|
It either can be thought of as a degenerate 6D segmentotope with zero height, or as a 5D euclidean decomposition of the larger base into smaller bits.
Incidence matrix according to Dynkin symbol
xx3oo3oo *b3ox3xx&#x → height = 0
(siphin || pirhin)
o.3o.3o. *b3o.3o. | 80 * | 6 4 4 0 0 0 | 12 12 6 12 6 4 0 0 0 0 0 | 4 4 12 6 4 12 6 12 4 6 0 0 0 0 0 0 | 1 4 4 1 4 4 12 6 1 4 0 0 0 0 | 1 1 4 4 1 0
.o3.o3.o *b3.o3.o | * 320 | 0 0 1 3 3 1 | 0 0 0 3 3 1 3 3 3 3 3 | 0 0 0 0 0 3 3 3 3 3 1 3 3 3 1 3 | 0 0 0 0 1 3 3 3 1 3 1 1 3 1 | 0 1 1 3 1 1
---------------------+--------+-------------------------+---------------------------------------------+--------------------------------------------------------+--------------------------------------------+----------------
x. .. .. .. .. | 2 0 | 240 * * * * * | 4 2 0 2 0 0 0 0 0 0 0 | 2 2 4 1 0 4 1 2 0 0 0 0 0 0 0 0 | 1 2 2 0 2 2 4 1 0 0 0 0 0 0 | 1 1 2 2 0 0
.. .. .. .. x. | 2 0 | * 160 * * * * | 0 3 3 0 0 1 0 0 0 0 0 | 0 0 3 3 3 0 0 3 0 3 0 0 0 0 0 0 | 0 1 3 1 0 0 3 3 0 3 0 0 0 0 | 1 0 1 3 1 0
oo3oo3oo *b3oo3oo&#x | 1 1 | * * 320 * * * | 0 0 0 3 3 1 0 0 0 0 0 | 0 0 0 0 0 3 3 3 3 3 0 0 0 0 0 0 | 0 0 0 0 1 3 3 3 1 3 0 0 0 0 | 0 1 1 3 1 0
.x .. .. .. .. | 0 2 | * * * 480 * * | 0 0 0 1 0 0 2 1 1 0 0 | 0 0 0 0 0 2 1 1 0 0 1 2 2 1 0 0 | 0 0 0 0 1 2 2 1 0 0 1 1 2 0 | 0 1 1 2 0 1
.. .. .. .x .. | 0 2 | * * * * 480 * | 0 0 0 0 1 0 0 1 0 2 1 | 0 0 0 0 0 0 1 0 2 1 0 2 0 1 1 2 | 0 0 0 0 0 2 0 1 1 2 1 0 2 1 | 0 1 0 2 1 1
.. .. .. .. .x | 0 2 | * * * * * 160 | 0 0 0 0 0 1 0 0 3 0 3 | 0 0 0 0 0 0 0 3 0 3 0 0 3 3 0 3 | 0 0 0 0 0 0 3 3 0 3 0 1 3 1 | 0 0 1 3 1 1
---------------------+--------+-------------------------+---------------------------------------------+--------------------------------------------------------+--------------------------------------------+----------------
x.3o. .. .. .. | 3 0 | 3 0 0 0 0 0 | 320 * * * * * * * * * * | 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 1 0 0
x. .. .. .. x. | 4 0 | 2 2 0 0 0 0 | * 240 * * * * * * * * * | 0 0 2 1 0 0 0 1 0 0 0 0 0 0 0 0 | 0 1 2 0 0 0 2 1 0 0 0 0 0 0 | 1 0 1 2 0 0
.. .. .. o.3x. | 3 0 | 0 3 0 0 0 0 | * * 160 * * * * * * * * | 0 0 0 1 2 0 0 0 0 1 0 0 0 0 0 0 | 0 0 2 1 0 0 0 1 0 2 0 0 0 0 | 1 0 0 2 1 0
xx .. .. .. ..&#x | 2 2 | 1 0 2 1 0 0 | * * * 480 * * * * * * * | 0 0 0 0 0 2 1 1 0 0 0 0 0 0 0 0 | 0 0 0 0 1 2 2 1 0 0 0 0 0 0 | 0 1 1 2 0 0
.. .. .. ox ..&#x | 1 2 | 0 0 2 0 1 0 | * * * * 480 * * * * * * | 0 0 0 0 0 0 1 0 2 1 0 0 0 0 0 0 | 0 0 0 0 0 2 0 1 1 2 0 0 0 0 | 0 1 0 2 1 0
.. .. .. .. xx&#x | 2 2 | 0 1 2 0 0 1 | * * * * * 160 * * * * * | 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 | 0 0 0 0 0 0 3 3 0 3 0 0 0 0 | 0 0 1 3 1 0
.x3.o .. .. .. | 0 3 | 0 0 0 3 0 0 | * * * * * * 320 * * * * | 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 | 0 0 0 0 1 1 1 0 0 0 1 1 1 0 | 0 1 1 1 0 1
.x .. .. .x .. | 0 4 | 0 0 0 2 2 0 | * * * * * * * 240 * * * | 0 0 0 0 0 0 1 0 0 0 0 2 0 1 0 0 | 0 0 0 0 0 2 0 1 0 0 1 0 2 0 | 0 1 0 2 0 1
.x .. .. .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * * * 240 * * | 0 0 0 0 0 0 0 1 0 0 0 0 2 1 0 0 | 0 0 0 0 0 0 2 1 0 0 0 1 2 0 | 0 0 1 2 0 1
.. .o .. *b3.x .. | 0 3 | 0 0 0 0 3 0 | * * * * * * * * * 320 * | 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 | 0 0 0 0 0 1 0 0 1 1 1 0 1 1 | 0 1 0 1 1 1
.. .. .. .x3.x | 0 6 | 0 0 0 0 3 3 | * * * * * * * * * * 160 | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 2 | 0 0 0 0 0 0 0 1 0 2 0 0 2 1 | 0 0 0 2 1 1
---------------------+--------+-------------------------+---------------------------------------------+--------------------------------------------------------+--------------------------------------------+----------------
x.3o.3o. .. .. ♦ 4 0 | 6 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 | 80 * * * * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
x.3o. .. *b3o. .. ♦ 4 0 | 6 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 | * 80 * * * * * * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
x.3o. .. .. x. ♦ 6 0 | 6 3 0 0 0 0 | 2 3 0 0 0 0 0 0 0 0 0 | * * 160 * * * * * * * * * * * * * | 0 1 1 0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
x. .. .. o.3x. ♦ 6 0 | 3 6 0 0 0 0 | 0 3 2 0 0 0 0 0 0 0 0 | * * * 80 * * * * * * * * * * * * | 0 0 2 0 0 0 0 1 0 0 0 0 0 0 | 1 0 0 2 0 0
.. o. .. *b3o.3x. ♦ 4 0 | 0 6 0 0 0 0 | 0 0 4 0 0 0 0 0 0 0 0 | * * * * 80 * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 1 0 0 0 0 | 1 0 0 1 1 0
xx3oo .. .. ..&#x ♦ 3 3 | 3 0 3 3 0 0 | 1 0 0 3 0 0 1 0 0 0 0 | * * * * * 320 * * * * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
xx .. .. ox ..&#x ♦ 2 4 | 1 0 4 2 2 0 | 0 0 0 2 2 0 0 1 0 0 0 | * * * * * * 240 * * * * * * * * * | 0 0 0 0 0 2 0 1 0 0 0 0 0 0 | 0 1 0 2 0 0
xx .. .. .. xx&#x ♦ 4 4 | 2 2 4 2 0 2 | 0 1 0 2 0 2 0 0 1 0 0 | * * * * * * * 240 * * * * * * * * | 0 0 0 0 0 0 2 1 0 0 0 0 0 0 | 0 0 1 2 0 0
.. oo .. *b3ox ..&#x ♦ 1 3 | 0 0 3 0 3 0 | 0 0 0 0 3 0 0 0 0 1 0 | * * * * * * * * 320 * * * * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 0 | 0 1 0 1 1 0
.. .. .. ox3xx&#x ♦ 3 6 | 0 3 6 0 3 3 | 0 0 1 0 3 3 0 0 0 0 1 | * * * * * * * * * 160 * * * * * * | 0 0 0 0 0 0 0 1 0 2 0 0 0 0 | 0 0 0 2 1 0
.x3.o3.o .. .. ♦ 0 4 | 0 0 0 6 0 0 | 0 0 0 0 0 0 4 0 0 0 0 | * * * * * * * * * * 80 * * * * * | 0 0 0 0 1 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x3.o .. *b3.x .. ♦ 0 12 | 0 0 0 12 12 0 | 0 0 0 0 0 0 4 6 0 4 0 | * * * * * * * * * * * 80 * * * * | 0 0 0 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.x3.o .. .. .x ♦ 0 6 | 0 0 0 6 0 3 | 0 0 0 0 0 0 2 0 3 0 0 | * * * * * * * * * * * * 160 * * * | 0 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.x .. .. .x3.x ♦ 0 12 | 0 0 0 6 6 6 | 0 0 0 0 0 0 0 3 3 0 2 | * * * * * * * * * * * * * 80 * * | 0 0 0 0 0 0 0 1 0 0 0 0 2 0 | 0 0 0 2 0 1
.. .o3.o *b3.x .. ♦ 0 4 | 0 0 0 0 6 0 | 0 0 0 0 0 0 0 0 0 4 0 | * * * * * * * * * * * * * * 80 * | 0 0 0 0 0 0 0 0 1 0 1 0 0 1 | 0 1 0 0 1 1
.. .o .. *b3.x3.x ♦ 0 12 | 0 0 0 0 12 6 | 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * * * * 80 | 0 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------------+--------+-------------------------+---------------------------------------------+--------------------------------------------------------+--------------------------------------------+----------------
x.3o.3o. *b3o. .. ♦ 8 0 | 24 0 0 0 0 0 | 32 0 0 0 0 0 0 0 0 0 0 | 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10 * * * * * * * * * * * * * | 1 1 0 0 0 0
x.3o.3o. .. x. ♦ 8 0 | 12 4 0 0 0 0 | 8 6 0 0 0 0 0 0 0 0 0 | 2 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 40 * * * * * * * * * * * * | 1 0 1 0 0 0
x.3o. .. *b3o.3x. ♦ 20 0 | 30 30 0 0 0 0 | 20 30 20 0 0 0 0 0 0 0 0 | 0 5 10 10 5 0 0 0 0 0 0 0 0 0 0 0 | * * 16 * * * * * * * * * * * | 1 0 0 1 0 0
.. o.3o. *b3o.3x. ♦ 5 0 | 0 10 0 0 0 0 | 0 0 10 0 0 0 0 0 0 0 0 | 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 | * * * 16 * * * * * * * * * * | 1 0 0 0 1 0
xx3oo3oo .. ..&#x ♦ 4 4 | 6 0 4 6 0 0 | 4 0 0 6 0 0 4 0 0 0 0 | 1 0 0 0 0 4 0 0 0 0 1 0 0 0 0 0 | * * * * 80 * * * * * * * * * | 0 1 1 0 0 0
xx3oo .. *b3ox ..&#x ♦ 4 12 | 6 0 12 12 12 0 | 4 0 0 12 12 0 4 6 0 4 0 | 0 1 0 0 0 4 6 0 4 0 0 1 0 0 0 0 | * * * * * 80 * * * * * * * * | 0 1 0 1 0 0
xx3oo .. .. xx&#x ♦ 6 6 | 6 3 6 6 0 3 | 2 3 0 6 0 3 2 0 3 0 0 | 0 0 1 0 0 2 0 3 0 0 0 0 1 0 0 0 | * * * * * * 160 * * * * * * * | 0 0 1 1 0 0
xx .. .. ox3xx&#x ♦ 6 12 | 3 6 12 6 6 6 | 0 3 2 6 6 6 0 3 3 0 2 | 0 0 0 1 0 0 3 3 0 2 0 0 0 1 0 0 | * * * * * * * 80 * * * * * * | 0 0 0 2 0 0
.. oo3oo *b3ox ..&#x ♦ 1 4 | 0 0 4 0 6 0 | 0 0 0 0 6 0 0 0 0 4 0 | 0 0 0 0 0 0 0 0 4 0 0 0 0 0 1 0 | * * * * * * * * 80 * * * * * | 0 1 0 0 1 0
.. oo .. *b3ox3xx&#x ♦ 4 12 | 0 6 12 0 12 6 | 0 0 4 0 12 6 0 0 0 4 4 | 0 0 0 0 1 0 0 0 4 4 0 0 0 0 0 1 | * * * * * * * * * 80 * * * * | 0 0 0 1 1 0
.x3.o3.o *b3.x .. ♦ 0 32 | 0 0 0 48 48 0 | 0 0 0 0 0 0 32 24 0 32 0 | 0 0 0 0 0 0 0 0 0 0 8 8 0 0 8 0 | * * * * * * * * * * 10 * * * | 0 1 0 0 0 1
.x3.o3.o .. .x ♦ 0 8 | 0 0 0 12 0 4 | 0 0 0 0 0 0 8 0 6 0 0 | 0 0 0 0 0 0 0 0 0 0 2 0 4 0 0 0 | * * * * * * * * * * * 40 * * | 0 0 1 0 0 1
.x3.o .. *b3.x3.x ♦ 0 60 | 0 0 0 60 60 30 | 0 0 0 0 0 0 20 30 30 20 20 | 0 0 0 0 0 0 0 0 0 0 0 5 10 10 0 5 | * * * * * * * * * * * * 16 * | 0 0 0 1 0 1
.. .o3.o *b3.x3.x ♦ 0 20 | 0 0 0 0 30 10 | 0 0 0 0 0 0 0 0 0 20 10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * * * * * * 16 | 0 0 0 0 1 1
---------------------+--------+-------------------------+---------------------------------------------+--------------------------------------------------------+--------------------------------------------+----------------
x.3o.3o. *b3o.3x. ♦ 80 0 | 240 160 0 0 0 0 | 320 240 160 0 0 0 0 0 0 0 0 | 80 80 160 80 80 0 0 0 0 0 0 0 0 0 0 0 | 10 40 16 16 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xx3oo3oo *b3ox ..&#x ♦ 8 32 | 24 0 32 48 48 0 | 32 0 0 48 48 0 32 24 0 32 0 | 8 8 0 0 0 32 24 0 32 0 8 8 0 0 8 0 | 1 0 0 0 8 8 0 0 8 0 1 0 0 0 | * 10 * * * *
xx3oo3oo .. xx&#x ♦ 8 8 | 12 4 8 12 0 4 | 8 6 0 12 0 4 8 0 6 0 0 | 2 0 4 0 0 8 0 6 0 0 2 0 4 0 0 0 | 0 1 0 0 2 0 4 0 0 0 0 1 0 0 | * * 40 * * *
xx3oo .. *b3ox3xx&#x ♦ 20 60 | 30 30 60 60 60 30 | 20 30 20 60 60 30 20 30 30 20 20 | 0 5 10 10 5 20 30 30 20 20 0 5 10 10 0 5 | 0 0 1 0 0 5 10 10 0 5 0 0 1 0 | * * * 16 * *
.. oo3oo *b3ox3xx&#x ♦ 5 20 | 0 10 20 0 30 10 | 0 0 10 0 30 10 0 0 0 20 10 | 0 0 0 0 5 0 0 0 20 10 0 0 0 0 5 5 | 0 0 0 1 0 0 0 0 5 5 0 0 0 1 | * * * * 16 *
.x3.o3.o *b3.x3.x ♦ 0 320 | 0 0 0 480 480 160 | 0 0 0 0 0 0 320 240 240 320 160 | 0 0 0 0 0 0 0 0 0 0 80 80 160 80 80 80 | 0 0 0 0 0 0 0 0 0 0 10 40 16 16 | * * * * * 1
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