in approx. ASCII-art
A where: C A = x3o o3oA AC = o3x o3x (triddip)
A where:B BA = x3o o3o ({3}) B = o3o x3o (perp {3})A A B- uniform relative:
- jak
- relatedsegmentopeta:
- trippete
- general polytopal classes:
- scaliform
links
| Acronym | endjak |
| Name | ennea-diminishedjak |
| Circumradius | sqrt(2/3) = 0.816497 |
| Lace city in approx. ASCII-art | A where: C A = x3o o3oA AC = o3x o3x (triddip) |
A where:B BA = x3o o3o ({3}) B = o3o x3o (perp {3})A A B | |
| Face vector | 18, 90, 192, 213, 126, 33 |
| Confer |
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| External links | |
Incidence matrix according toDynkin symbol
xo3ox xo3oo ox3oo&#zx → height = 0(tegum sum of 2 perp-dualtriddips)o.3o. o.3o. o.3o. & | 18 | 2 2 6 | 1 4 1 9 18 | 2 3 15 12 8 12 | 9 18 5 10 | 6 7 2-----------------------+----+----------+---------------+-----------------+-------------+-------x. .. .. .. .. .. & | 2 | 18 * * | 1 2 0 3 0 | 2 3 6 3 0 0 | 9 6 1 0 | 6 2 0.. .. x. .. .. .. & | 2 | * 18 * | 0 2 1 0 6 | 1 0 6 3 6 6 | 3 9 3 8 | 3 5 2oo3oo oo3oo oo3oo&#x | 2 | * * 54 | 0 0 0 2 4 | 0 1 4 4 2 4 | 4 8 2 4 | 4 4 1-----------------------+----+----------+---------------+-----------------+-------------+-------x.3o. .. .. .. .. & | 3 | 3 0 0 | 6 * * * *♦ 2 3 0 0 0 0 | 9 0 0 0 | 6 0 0x. .. x. .. .. .. & | 4 | 2 2 0 | * 18 * * * | 1 0 3 0 0 0 | 3 3 0 0 | 3 1 0.. .. x.3o. .. .. & | 3 | 0 3 0 | * * 6 * *♦ 0 0 0 0 6 0 | 0 0 3 6 | 0 3 2xo .. .. .. .. ..&#x & | 3 | 1 0 2 | * * * 54 * | 0 1 2 2 0 0 | 4 4 1 0 | 4 2 0.. .. xo .. .. ..&#x & | 3 | 0 1 2 | * * * * 108 | 0 0 1 1 1 2 | 1 4 1 3 | 2 3 1-----------------------+----+----------+---------------+-----------------+-------------+-------x.3o. x. .. .. .. &♦ 6 | 6 3 0 | 2 3 0 0 0 | 6 * * * * * | 3 0 0 0 | 3 0 0xo3ox .. .. .. ..&#x♦ 6 | 6 0 6 | 2 0 0 6 0 | * 9 * * * * | 4 0 0 0 | 4 0 0xo .. xo .. .. ..&#x &♦ 5 | 2 2 4 | 0 1 0 2 2 | * * 54 * * * | 1 2 0 0 | 2 1 0xo .. .. .. ox ..&#x &♦ 4 | 1 1 4 | 0 0 0 2 2 | * * * 54 * * | 1 2 1 0 | 2 2 0.. .. xo3oo .. ..&#x &♦ 4 | 0 3 3 | 0 0 1 0 3 | * * * * 36 * | 0 0 1 2 | 0 2 1.. .. xo .. ox ..&#x♦ 4 | 0 2 4 | 0 0 0 0 4 | * * * * * 54 | 0 2 0 2 | 1 2 1-----------------------+----+----------+---------------+-----------------+-------------+-------xo3ox xo .. .. ..&#x &♦ 9 | 9 3 12 | 3 3 0 12 6 | 1 2 3 3 0 0 | 18 * * * | 2 0 0xo .. xo .. ox ..&#x &♦ 6 | 2 3 8 | 0 1 0 4 8 | 0 0 2 2 0 2 | * 54 * * | 1 1 0xo .. .. .. ox3oo&#x &♦ 5 | 1 3 6 | 0 0 1 3 6 | 0 0 0 3 2 0 | * * 18 * | 0 2 0.. .. xo3oo ox ..&#x &♦ 5 | 0 4 6 | 0 0 1 0 9 | 0 0 0 0 2 3 | * * * 36 | 0 1 1-----------------------+----+----------+---------------+-----------------+-------------+-------xo3ox xo .. ox ..&#x♦ 12 | 12 6 24 | 4 6 0 24 24 | 2 4 12 12 0 6 | 4 6 0 0 | 9 * *xo .. xo .. ox3oo&#x &♦ 7 | 2 5 12 | 0 1 1 6 18 | 0 0 3 6 4 6 | 0 3 2 2 | * 18 *.. .. xo3oo ox3oo&#x♦ 6 | 0 6 9 | 0 0 2 0 18 | 0 0 0 0 6 9 | 0 0 0 6 | * * 6
oxxo oxox3oooo oooo3xoxo&#xt → height(1,2) = height(3,4) = 1/sqrt(12) = 0.288675 height(2,3) = 1/sqrt(3) = 0.577350({3}|| perptrip|| paratrip|| perp {3})o... o...3o... o...3o... & | 6 * | 2 6 2 0 0 0 | 1 3 6 12 6 1 4 0 0 0 | 3 6 2 12 6 3 6 12 2 0 0 | 6 3 4 6 9 2 12 0 | 3 2 6 4 0.o.. .o..3.o.. .o..3.o.. & | * 12 | 0 3 1 1 2 3 | 0 3 6 3 6 1 2 2 1 9 | 6 3 3 6 1 3 9 9 2 4 6 | 6 1 3 2 9 4 12 5 | 2 1 6 5 1-------------------------------+------+-----------------+---------------------------+--------------------------------+------------------------+-----------.... .... .... .... x... & | 2 0 | 6 * * * * * | 1 0 0 6 0 0 2 0 0 0 | 0 3 0 6 6 0 0 6 1 0 0 | 3 3 2 6 3 0 6 0 | 3 2 3 2 0oo.. oo..3oo.. oo..3oo..&#x & | 1 1 | * 36 * * * * | 0 1 2 2 1 0 0 0 0 0 | 2 2 1 4 1 1 2 2 0 0 0 | 4 1 2 2 4 1 4 0 | 2 1 4 2 0o.o. o.o.3o.o. o.o.3o.o.&#x & | 1 1 | * * 12 * * * | 0 0 0 0 3 1 2 0 0 0 | 0 0 0 0 0 3 3 6 2 0 0 | 0 0 0 0 9 1 6 0 | 0 0 6 2 0.x.. .... .... .... .... & | 0 2 | * * * 6 * * | 0 3 0 0 0 1 0 2 0 0 | 6 3 0 0 0 3 0 0 2 0 0 | 6 1 0 0 9 0 0 0 | 2 0 6 0 0.... .x.. .... .... .... & | 0 2 | * * * * 12 * | 0 0 3 0 0 0 1 1 1 3 | 3 0 3 3 0 0 3 3 1 3 3 | 3 0 3 1 3 3 3 4 | 1 1 3 4 1.oo. .oo.3.oo. .oo.3.oo.&#x | 0 2 | * * * * * 18 | 0 0 0 0 2 0 0 0 0 4 | 0 0 0 0 0 1 4 4 0 2 4 | 0 0 0 0 4 2 8 4 | 0 0 4 4 1-------------------------------+------+-----------------+---------------------------+--------------------------------+------------------------+-----------.... .... .... o...3x... & | 3 0 | 3 0 0 0 0 0 |2 * * * * * * * * *♦ 0 0 0 0 6 0 0 0 0 0 0 | 0 3 0 6 0 0 0 0 | 3 2 0 0 0ox.. .... .... .... ....&#x & | 1 2 | 0 2 0 1 0 0 | * 18 * * * * * * * * | 2 2 0 0 0 1 0 0 0 0 0 | 4 1 0 0 4 0 0 0 | 2 0 4 0 0.... ox.. .... .... ....&#x & | 1 2 | 0 2 0 0 1 0 | * * 36 * * * * * * * | 1 0 1 2 0 0 1 0 0 0 0 | 2 0 2 1 1 1 2 0 | 1 1 2 2 0.... .... .... .... xo..&#x & | 2 1 | 1 2 0 0 0 0 | * * * 36 * * * * * * | 0 1 0 2 1 0 0 1 0 0 0 | 2 1 1 2 1 0 2 0 | 2 1 2 1 0ooo. ooo.3ooo. ooo.3ooo.&#x & | 1 2 | 0 1 1 0 0 1 | * * * * 36 * * * * * | 0 0 0 0 0 1 2 2 0 0 0 | 0 0 0 0 4 1 4 0 | 0 0 4 2 0o.x. .... .... .... ....&#x & | 1 2 | 0 0 2 1 0 0 | * * * * * 6 * * * *♦ 0 0 0 0 0 3 0 0 2 0 0 | 0 0 0 0 9 0 0 0 | 0 0 6 0 0.... .... .... .... x.x.&#x & | 2 2 | 1 0 2 0 1 0 | * * * * * * 12 * * * | 0 0 0 0 0 0 0 3 1 0 0 | 0 0 0 0 3 0 3 0 | 0 0 3 1 0.x.. .x.. .... .... .... & | 0 4 | 0 0 0 2 2 0 | * * * * * * * 6 * * | 3 0 0 0 0 0 0 0 1 0 0 | 3 0 0 0 3 0 0 0 | 1 0 3 0 0.... .x..3.o.. .... .... & | 0 3 | 0 0 0 0 3 0 | * * * * * * * * 4 *♦ 0 0 3 0 0 0 0 0 0 3 0 | 0 0 3 0 0 3 0 3 | 0 1 0 3 1.... .xo. .... .... ....&#x & | 0 3 | 0 0 0 0 1 2 | * * * * * * * * * 36 | 0 0 0 0 0 0 1 1 0 1 2 | 0 0 0 0 1 1 4 3 | 0 0 2 3 1-------------------------------+------+-----------------+---------------------------+--------------------------------+------------------------+-----------ox.. ox.. .... .... ....&#x &♦ 1 4 | 0 4 0 2 2 0 | 0 2 2 0 0 0 0 1 0 0 | 18 * * * * * * * * * * | 2 0 0 0 1 0 0 0 | 1 0 2 0 0ox.. .... .... .... xo..&#x &♦ 2 2 | 1 4 0 1 0 0 | 0 2 0 2 0 0 0 0 0 0 | * 18 * * * * * * * * * | 2 1 0 0 1 0 0 0 | 2 0 2 0 0.... ox..3oo.. .... ....&#x &♦ 1 3 | 0 3 0 0 3 0 | 0 0 3 0 0 0 0 0 1 0 | * * 12 * * * * * * * * | 0 0 2 0 0 1 0 0 | 0 1 0 2 0.... ox.. .... .... xo..&#x &♦ 2 2 | 1 4 0 0 1 0 | 0 0 2 2 0 0 0 0 0 0 | * * * 36 * * * * * * * | 1 0 1 1 0 0 1 0 | 1 1 1 1 0.... .... .... oo..3xo..&#x &♦ 3 1 | 3 3 0 0 0 0 | 1 0 0 3 0 0 0 0 0 0 | * * * * 12 * * * * * * | 0 1 0 2 0 0 0 0 | 2 1 0 0 0oxxo .... .... .... ....&#xr♦ 2 4 | 0 4 4 2 0 2 | 0 2 0 0 4 2 0 0 0 0 | * * * * * 9 * * * * * | 0 0 0 0 4 0 0 0 | 0 0 4 0 0 cycle (ABDC).... oxo. .... .... ....&#x &♦ 1 3 | 0 2 1 0 1 2 | 0 0 1 0 2 0 0 0 0 1 | * * * * * * 36 * * * * | 0 0 0 0 1 1 2 0 | 0 0 2 2 0.... .... .... .... xox.&#x &♦ 2 3 | 1 2 2 0 1 2 | 0 0 0 1 2 0 1 0 0 1 | * * * * * * * 36 * * * | 0 0 0 0 1 0 2 0 | 0 0 2 1 0o.x. .... .... .... x.x.&#x &♦ 2 4 | 1 0 4 2 2 0 | 0 0 0 0 0 2 2 1 0 0 | * * * * * * * * 6 * * | 0 0 0 0 3 0 0 0 | 0 0 3 0 0.... .xo.3.oo. .... ....&#x &♦ 0 4 | 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 1 3 | * * * * * * * * * 12 * | 0 0 0 0 0 1 0 2 | 0 0 0 2 1.... .xo. .... .... .ox.&#x♦ 0 4 | 0 0 0 0 2 4 | 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * 18 | 0 0 0 0 0 0 2 2 | 0 0 1 2 1-------------------------------+------+-----------------+---------------------------+--------------------------------+------------------------+-----------ox.. ox.. .... .... xo..&#x &♦ 2 4 | 1 8 0 2 2 0 | 0 4 4 4 0 0 0 1 0 0 | 2 2 0 2 0 0 0 0 0 0 0 | 18 * * * * * * * | 1 0 1 0 0ox.. .... .... oo..3xo..&#x &♦ 3 2 | 3 6 0 1 0 0 | 1 3 0 6 0 0 0 0 0 0 | 0 3 0 0 2 0 0 0 0 0 0 | * 6 * * * * * * | 2 0 0 0 0.... ox..3oo.. .... xo..&#x &♦ 2 3 | 1 6 0 0 3 0 | 0 0 6 3 0 0 0 0 1 0 | 0 0 2 3 0 0 0 0 0 0 0 | * * 12 * * * * * | 0 1 0 1 0.... ox.. .... oo..3xo..&#x &♦ 3 2 | 3 6 0 0 1 0 | 1 0 3 6 0 0 0 0 0 0 | 0 0 0 3 2 0 0 0 0 0 0 | * * * 12 * * * * | 1 1 0 0 0oxxo oxox .... .... ....&#xr &♦ 3 6 | 1 8 6 3 2 4 | 0 4 2 2 8 3 2 1 0 2 | 1 1 0 0 0 2 2 2 1 0 0 | * * * * 18 * * * | 0 0 2 0 0 cycle (ABDC).... oxo.3ooo. .... ....&#x &♦ 1 4 | 0 3 1 0 3 3 | 0 0 3 0 3 0 0 0 1 3 | 0 0 1 0 0 0 3 0 0 1 0 | * * * * * 12 * * | 0 0 0 2 0.... oxo. .... .... xox.&#x &♦ 2 4 | 1 4 2 0 1 4 | 0 0 2 2 4 0 1 0 0 4 | 0 0 0 1 0 0 2 2 0 0 1 | * * * * * * 36 * | 0 0 1 1 0.... .xo.3.oo. .... .ox.&#x &♦ 0 5 | 0 0 0 0 4 6 | 0 0 0 0 0 0 0 0 1 9 | 0 0 0 0 0 0 0 0 0 2 3 | * * * * * * * 12 | 0 0 0 1 1-------------------------------+------+-----------------+---------------------------+--------------------------------+------------------------+-----------ox.. ox.. .... oo..3xo..&#x &♦ 3 4 | 3 12 0 2 2 0 | 1 6 6 12 0 0 0 1 0 0 | 3 6 0 6 4 0 0 0 0 0 0 | 3 2 0 2 0 0 0 0 | 6 * * * *.... ox..3oo.. oo..3xo..&#x &♦ 3 3 | 3 9 0 0 3 0 | 1 0 9 9 0 0 0 0 1 0 | 0 0 3 9 3 0 0 0 0 0 0 | 0 0 3 3 0 0 0 0 | * 4 * * *oxxo oxox .... .... xoxo&#xr♦ 4 8 | 2 16 8 4 4 8 | 0 8 8 8 16 4 4 2 0 8 | 4 4 0 4 0 4 8 8 2 0 2 | 2 0 0 0 4 0 4 0 | * * 9 * * cycle (ABDC).... oxo.3ooo. .... xox.&#x &♦ 2 5 | 1 6 2 0 4 6 | 0 0 6 3 6 0 1 0 1 9 | 0 0 2 3 0 0 6 3 0 2 3 | 0 0 1 0 0 2 3 1 | * * * 12 *.... .xo.3.oo. .oo.3.ox.&#x &♦ 0 6 | 0 0 0 0 6 9 | 0 0 0 0 0 0 0 0 2 18 | 0 0 0 0 0 0 0 0 0 6 9 | 0 0 0 0 0 0 0 6 | * * * * 2© 2004-2025 | top of page |