small diprismatotesseractic tetracomb,
runcinated tesseractic tetracomb
- general polytopal classes:
- partial Stott expansions
links
| Acronym | spittit (old: sidpitit) |
| Name |
small prismatotesseractic tetracomb, small diprismatotesseractic tetracomb, runcinated tesseractic tetracomb |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x4o3o3x4o (N → ∞) . . . . . | 32N | 3 6 | 3 12 6 3 | 1 6 6 6 2 3 | 2 3 3 1 ----------+-----+---------+-----------------+-----------------------+---------- x . . . . | 2 | 48N * | 2 4 0 0 | 1 4 2 2 0 0 | 2 2 1 0 . . . x . | 2 | * 96N | 0 2 2 1 | 0 1 2 2 1 2 | 1 1 2 1 ----------+-----+---------+-----------------+-----------------------+---------- x4o . . . | 4 | 4 0 | 24N * * * | 1 2 0 0 0 0 | 2 1 0 0 x . . x . | 4 | 2 2 | * 96N * * | 0 1 1 1 0 0 | 1 1 1 0 . . o3x . | 3 | 0 3 | * * 64N * | 0 0 1 0 1 1 | 1 0 1 1 . . . x4o | 4 | 0 4 | * * * 24N | 0 0 0 2 0 2 | 0 1 2 1 ----------+-----+---------+-----------------+-----------------------+---------- x4o3o . . ♦ 8 | 12 0 | 6 0 0 0 | 4N * * * * * | 2 0 0 0 x4o . x . ♦ 8 | 8 4 | 2 4 0 0 | * 24N * * * * | 1 1 0 0 x . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * * 32N * * * | 1 0 1 0 x . . x4o ♦ 8 | 4 8 | 0 4 0 2 | * * * 24N * * | 0 1 1 0 . o3o3x . ♦ 4 | 0 6 | 0 0 4 0 | * * * * 16N * | 1 0 0 1 . . o3x4o ♦ 12 | 0 24 | 0 0 8 6 | * * * * * 8N | 0 0 1 1 ----------+-----+---------+-----------------+-----------------------+---------- x4o3o3x . ♦ 64 | 96 96 | 48 96 64 0 | 8 24 32 0 16 0 | N * * * x4o . x4o ♦ 16 | 16 16 | 4 16 0 4 | 0 4 0 4 0 0 | * 6N * * x . o3x4o ♦ 24 | 12 48 | 0 24 16 12 | 0 0 8 6 0 2 | * * 4N * . o3o3x4o ♦ 32 | 0 96 | 0 0 64 24 | 0 0 0 0 16 8 | * * * N snubbed forms: s4o3o3x4o
x3o3x *b3o4x (N → ∞) . . . . . | 64N | 3 3 3 | 3 3 6 3 6 3 | 3 1 3 6 3 1 3 1 3 | 1 3 1 3 1 -------------+-----+-------------+-------------------------+------------------------------------+-------------- x . . . . | 2 | 96N * * | 2 1 2 0 0 0 | 2 1 2 2 1 0 0 0 0 | 1 2 1 1 0 . . x . . | 2 | * 96N * | 0 1 0 2 2 0 | 2 0 0 2 0 1 2 0 1 | 1 2 0 1 1 . . . . x | 2 | * * 96N | 0 0 2 0 2 2 | 0 0 1 2 2 0 1 1 2 | 0 1 1 2 1 -------------+-----+-------------+-------------------------+------------------------------------+-------------- x3o . . . | 3 | 3 0 0 | 64N * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 x . x . . | 4 | 2 2 0 | * 48N * * * * | 2 0 0 2 0 0 0 0 0 | 1 2 0 1 0 x . . . x | 4 | 2 0 2 | * * 96N * * * | 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0 . o3x . . | 3 | 0 3 0 | * * * 64N * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . . x . x | 4 | 0 2 2 | * * * * 96N * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o4x | 4 | 0 0 4 | * * * * * 48N | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 -------------+-----+-------------+-------------------------+------------------------------------+-------------- x3o3x . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 | 16N * * * * * * * * | 1 1 0 0 0 x3o . *b3o . ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | * 16N * * * * * * * | 1 0 1 0 0 x3o . . x ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * * 32N * * * * * * | 0 1 1 0 0 x . x . x ♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * * 48N * * * * * | 0 1 0 1 0 x . . o4x ♦ 8 | 4 0 8 | 0 0 4 0 0 2 | * * * * 24N * * * * | 0 0 1 1 0 . o3x *b3o . ♦ 4 | 0 6 0 | 0 0 0 4 0 0 | * * * * * 16N * * * | 1 0 0 0 1 . o3x . x ♦ 6 | 0 6 3 | 0 0 0 2 3 0 | * * * * * * 32N * * | 0 1 0 0 1 . o . *b3o4x ♦ 8 | 0 0 12 | 0 0 0 0 0 6 | * * * * * * * 8N * | 0 0 1 0 1 . . x o4x ♦ 8 | 0 4 8 | 0 0 0 0 4 2 | * * * * * * * * 24N | 0 0 0 1 1 -------------+-----+-------------+-------------------------+------------------------------------+-------------- x3o3x *b3o . ♦ 32 | 48 48 0 | 32 24 0 32 0 0 | 8 8 0 0 0 8 0 0 0 | 2N * * * * x3o3x . x ♦ 24 | 24 24 12 | 8 12 12 8 12 0 | 2 0 4 6 0 0 4 0 0 | * 8N * * * x3o . *b3o4x ♦ 64 | 96 0 96 | 64 0 96 0 0 48 | 0 16 32 0 24 0 0 8 0 | * * N * * x . x o4x ♦ 16 | 8 8 16 | 0 4 8 0 8 4 | 0 0 0 4 2 0 0 0 2 | * * * 12N * . o3x *b3o4x ♦ 64 | 0 96 96 | 0 0 0 64 96 48 | 0 0 0 0 0 16 32 8 24 | * * * * N
:ooq:4:xxo:3:ooo:4:xxx:&##x (N → ∞)
height(1,2) = 1
height(1,3) = height(2,3) = 1/sqrt(2) = 0.707107
o.. 4 o.. 3 o.. 4 o.. | 12N * * | 4 2 1 2 0 0 0 0 | 2 2 4 1 4 2 1 4 4 0 0 0 0 0 0 0 | 1 2 2 2 4 1 2 2 2 4 2 0 0 0 0 0 0 | 1 2 1 2 1 2
.o. 4 .o. 3 .o. 4 .o. | * 12N * | 0 0 1 0 4 2 2 0 | 0 0 0 0 4 2 1 0 0 2 2 4 1 4 4 0 | 0 0 2 2 4 1 2 2 0 0 0 1 2 2 4 2 0 | 1 2 1 2 1 2
..o 4 ..o 3 ..o 4 ..o | * * 8N | 0 0 0 3 0 0 3 3 | 0 0 0 0 0 0 3 3 6 0 0 0 0 3 6 3 | 0 0 0 0 0 0 3 6 1 3 3 0 0 1 3 3 1 | 0 0 1 3 3 2
----------------------------+------------+---------------------------------+----------------------------------------------------------+-----------------------------------------------------+---------------
... x.. ... ... | 2 0 0 | 24N * * * * * * * | 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 | 1 1 1 1 0 1
... ... ... x.. | 2 0 0 | * 12N * * * * * * | 0 0 2 1 0 1 0 0 2 0 0 0 0 0 0 0 | 0 1 0 0 2 1 0 1 0 2 2 0 0 0 0 0 0 | 0 1 0 1 1 2
oo. 4 oo. 3 oo. 4 oo. &#x | 1 1 0 | * * 12N * * * * * | 0 0 0 0 4 2 0 0 0 0 0 0 0 0 0 0 | 0 0 2 2 4 1 0 0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 2
:o.o:4:o.o:3:o.o:4:o.o:&#x | 1 0 1 | * * * 24N * * * * | 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 | 0 0 0 0 0 0 2 2 1 2 1 0 0 0 0 0 0 | 0 0 1 2 1 1
... .x. ... ... | 0 2 0 | * * * * 24N * * * | 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 | 0 0 1 1 1 0 1 0 0 0 0 1 1 1 1 0 0 | 1 1 1 1 0 1
... ... ... .x. | 0 2 0 | * * * * * 12N * * | 0 0 0 0 0 1 0 0 0 0 0 2 1 0 2 0 | 0 0 0 0 2 1 0 1 0 0 0 0 1 0 2 2 0 | 0 1 0 1 1 2
.oo 4 .oo 3 .oo 4 .oo &#x | 0 1 1 | * * * * * * 24N * | 0 0 0 0 0 0 1 0 0 0 0 0 0 2 2 0 | 0 0 0 0 0 0 2 2 0 0 0 0 0 1 2 1 0 | 0 0 1 2 1 1
... ... ... ..x | 0 0 2 | * * * * * * * 12N | 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 | 0 0 0 0 0 0 0 2 0 1 2 0 0 0 1 2 1 | 0 0 0 1 2 2
----------------------------+------------+---------------------------------+----------------------------------------------------------+-----------------------------------------------------+---------------
o.. 4 x.. ... ... | 4 0 0 | 4 0 0 0 0 0 0 0 | 6N * * * * * * * * * * * * * * * | 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0
... x.. 3 o.. ... | 3 0 0 | 3 0 0 0 0 0 0 0 | * 8N * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1 0 1 0 0 1
... x.. ... x.. | 4 0 0 | 2 2 0 0 0 0 0 0 | * * 12N * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 | 0 1 0 1 0 1
... ... o.. 4 x.. | 4 0 0 | 0 4 0 0 0 0 0 0 | * * * 3N * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 2 0 0 0 0 0 0 | 0 0 0 0 1 2
... xx. ... ... &#x | 2 2 0 | 1 0 2 0 1 0 0 0 | * * * * 24N * * * * * * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 0 0 1
... ... ... xx. &#x | 2 2 0 | 0 1 2 0 0 1 0 0 | * * * * * 12N * * * * * * * * * * | 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 0 2
:ooq: ... ... ... &#xt | 1 1 2 | 0 0 0 2 0 0 2 0 | * * * * * * 12N * * * * * * * * * | 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 | 0 0 1 2 1 0
... :x.o: ... ... &#x | 2 0 1 | 1 0 0 2 0 0 0 0 | * * * * * * * 24N * * * * * * * * | 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 | 0 0 1 1 0 1
... ... ... :x.x:&#x | 2 0 2 | 0 1 0 2 0 0 0 1 | * * * * * * * * 24N * * * * * * * | 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 | 0 0 0 1 1 1
.o. 4 .x. ... ... | 0 4 0 | 0 0 0 0 4 0 0 0 | * * * * * * * * * 6N * * * * * * | 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 | 1 1 1 1 0 0
... .x. 3 .o. ... | 0 3 0 | 0 0 0 0 3 0 0 0 | * * * * * * * * * * 8N * * * * * | 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 | 1 0 1 0 0 1
... .x. ... .x. | 0 4 0 | 0 0 0 0 2 2 0 0 | * * * * * * * * * * * 12N * * * * | 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 | 0 1 0 1 0 1
... ... .o. 4 .x. | 0 4 0 | 0 0 0 0 0 4 0 0 | * * * * * * * * * * * * 3N * * * | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 | 0 0 0 0 1 2
... .xo ... ... &#x | 0 2 1 | 0 0 0 0 1 0 2 0 | * * * * * * * * * * * * * 24N * * | 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 | 0 0 1 1 0 1
... ... ... .xx &#x | 0 2 2 | 0 0 0 0 0 1 2 1 | * * * * * * * * * * * * * * 24N * | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 0 1 1 1
... ... ..o 4 ..x | 0 0 4 | 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * * * * 6N | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 | 0 0 0 0 1 2
----------------------------+------------+---------------------------------+----------------------------------------------------------+-----------------------------------------------------+---------------
o.. 4 x.. 3 o.. ... ♦ 12 0 0 | 24 0 0 0 0 0 0 0 | 6 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | N * * * * * * * * * * * * * * * * | 1 0 1 0 0 0
o.. 4 x.. ... x.. ♦ 8 0 0 | 8 4 0 0 0 0 0 0 | 2 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 3N * * * * * * * * * * * * * * * | 0 1 0 1 0 0
oo. 4 xx. ... ... &#x ♦ 4 4 0 | 4 0 4 0 4 0 0 0 | 1 0 0 0 4 0 0 0 0 1 0 0 0 0 0 0 | * * 6N * * * * * * * * * * * * * * | 1 1 0 0 0 0
... xx. 3 oo. ... &#x ♦ 3 3 0 | 3 0 3 0 3 0 0 0 | 0 1 0 0 3 0 0 0 0 0 1 0 0 0 0 0 | * * * 8N * * * * * * * * * * * * * | 1 0 0 0 0 1
... xx. ... xx. &#x ♦ 4 4 0 | 2 2 4 0 2 2 0 0 | 0 0 1 0 2 2 0 0 0 0 0 1 0 0 0 0 | * * * * 12N * * * * * * * * * * * * | 0 1 0 0 0 1
... ... oo. 4 xx. &#x ♦ 4 4 0 | 0 4 4 0 0 4 0 0 | 0 0 0 1 0 4 0 0 0 0 0 0 1 0 0 0 | * * * * * 3N * * * * * * * * * * * | 0 0 0 0 0 2
:ooq:4:xxo: ... ... &#xt ♦ 4 4 4 | 4 0 0 8 4 0 8 0 | 1 0 0 0 0 0 4 4 0 1 0 0 0 4 0 0 | * * * * * * 6N * * * * * * * * * * | 0 0 1 1 0 0
:ooq: ... ... :xxx:&#xt ♦ 2 2 4 | 0 1 0 4 0 1 4 2 | 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 | * * * * * * * 12N * * * * * * * * * | 0 0 0 1 1 0
... :x.o:3:o.o: ... &#x ♦ 3 0 1 | 3 0 0 3 0 0 0 0 | 0 1 0 0 0 0 0 3 0 0 0 0 0 0 0 0 | * * * * * * * * 8N * * * * * * * * | 0 0 1 0 0 1
... :x.o: ... :x.x:&#x ♦ 4 0 2 | 2 2 0 4 0 0 0 1 | 0 0 1 0 0 0 0 2 2 0 0 0 0 0 0 0 | * * * * * * * * * 12N * * * * * * * | 0 0 0 1 0 1
... ... :o.o:4:x.x:&#x ♦ 4 0 4 | 0 4 0 4 0 0 0 4 | 0 0 0 1 0 0 0 0 4 0 0 0 0 0 0 1 | * * * * * * * * * * 6N * * * * * * | 0 0 0 0 1 1
.o. 4 .x. 3 .o. ... ♦ 0 12 0 | 0 0 0 0 24 0 0 0 | 0 0 0 0 0 0 0 0 0 6 8 0 0 0 0 0 | * * * * * * * * * * * N * * * * * | 1 0 1 0 0 0
.o. 4 .x. ... .x. ♦ 0 8 0 | 0 0 0 0 8 4 0 0 | 0 0 0 0 0 0 0 0 0 2 0 4 0 0 0 0 | * * * * * * * * * * * * 3N * * * * | 0 1 0 1 0 0
... .xo 3 .oo ... &#x ♦ 0 3 1 | 0 0 0 0 3 0 3 0 | 0 0 0 0 0 0 0 0 0 0 1 0 0 3 0 0 | * * * * * * * * * * * * * 8N * * * | 0 0 1 0 0 1
... .xo ... .xx &#x ♦ 0 4 2 | 0 0 0 0 2 2 4 1 | 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 | * * * * * * * * * * * * * * 12N * * | 0 0 0 1 0 1
... ... .oo 4 .xx &#x ♦ 0 4 4 | 0 0 0 0 0 4 4 4 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 4 1 | * * * * * * * * * * * * * * * 6N * | 0 0 0 0 1 1
... ..o 3 ..o 4 ..x ♦ 0 0 8 | 0 0 0 0 0 0 0 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 | * * * * * * * * * * * * * * * * N | 0 0 0 0 0 2
----------------------------+------------+---------------------------------+----------------------------------------------------------+-----------------------------------------------------+---------------
oo. 4 xx. 3 oo. ... &#x ♦ 12 12 0 | 24 0 12 0 24 0 0 0 | 6 8 0 0 24 0 0 0 0 6 8 0 0 0 0 0 | 1 0 6 8 0 0 0 0 0 0 0 1 0 0 0 0 0 | N * * * * *
oo. 4 xx. ... xx. &#x ♦ 8 8 0 | 8 4 8 0 8 4 0 0 | 2 0 4 0 8 4 0 0 0 2 0 4 0 0 0 0 | 0 1 2 0 4 0 0 0 0 0 0 0 1 0 0 0 0 | * 3N * * * *
:ooq:4:xxo:3:ooo: ... &#xt ♦ 12 12 8 | 24 0 0 24 24 0 24 0 | 6 8 0 0 0 0 12 24 0 6 8 0 0 24 0 0 | 1 0 0 0 0 0 6 0 8 0 0 1 0 8 0 0 0 | * * N * * * tower A-C-B
:ooq:4:xxo: ... :xxx:&#xt ♦ 8 8 8 | 8 4 0 16 8 4 16 4 | 2 0 4 0 0 0 8 8 8 2 0 4 0 8 8 0 | 0 1 0 0 0 0 2 4 0 4 0 0 1 0 4 0 0 | * * * 3N * * tower A-C-B
:ooq: ... :ooo:4:xxx:&#xt ♦ 4 4 8 | 0 4 0 8 0 4 8 8 | 0 0 0 1 0 0 4 0 8 0 0 0 1 0 8 2 | 0 0 0 0 0 0 0 4 0 0 2 0 0 0 0 2 0 | * * * * 3N * tower A-C-B
... :xxo:3:ooo:4:xxx:&#xt ♦ 24 24 16 | 24 24 24 24 24 24 24 24 | 0 8 12 6 24 24 0 24 24 0 8 12 6 24 24 12 | 0 0 0 8 12 6 0 0 8 12 6 0 0 8 12 6 2 | * * * * * N tower C-A-B-C
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