Acronym card (older: scard, oldest: shard)
Name (small) cellirhombated dodecateron,
small hedratorhombated dodecateron,
stericantellated hexateron
Circumradius sqrt(11)/2 = 1.658312
Vertex figure
 ©
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polyteral members:
by cells: cope ohope prip rawvtip srip triddip
card 300001220
sicrax 01566620
& others)
Confer
general segmentotera:
triddippa hiddip   pripalprip  
External
links
wikipedia

Incidence matrix according to Dynkin symbol

x3o3x3o3x

. . . . . | 180    2   4   2 |  1   4   4   2   2   4  1 |  2  2  2  4  2  1  2  2 | 1  2  1  2 1
----------+-----+-------------+---------------------------+-------------------------+-------------
x . . . . |   2 | 180   *   * |  1   2   2   0   0   0  0 |  2  2  1  2  1  0  0  0 | 1  2  1  1 0
. . x . . |   2 |   * 360   * |  0   1   0   1   1   1  0 |  1  0  1  1  0  1  1  1 | 1  1  0  1 1
. . . . x |   2 |   *   * 180 |  0   0   2   0   0   2  1 |  0  1  0  2  2  0  1  2 | 0  1  1  2 1
----------+-----+-------------+---------------------------+-------------------------+-------------
x3o . . . |   3 |   3   0   0 | 60   *   *   *   *   *  * |  2  2  0  0  0  0  0  0 | 1  2  1  0 0
x . x . . |   4 |   2   2   0 |  * 180   *   *   *   *  * |  1  0  1  1  0  0  0  0 | 1  1  0  1 0
x . . . x |   4 |   2   0   2 |  *   * 180   *   *   *  * |  0  1  0  1  1  0  0  0 | 0  1  1  1 0
. o3x . . |   3 |   0   3   0 |  *   *   * 120   *   *  * |  1  0  0  0  0  1  1  0 | 1  1  0  0 1
. . x3o . |   3 |   0   3   0 |  *   *   *   * 120   *  * |  0  0  1  0  0  1  0  1 | 1  0  0  1 1
. . x . x |   4 |   0   2   2 |  *   *   *   *   * 180  * |  0  0  0  1  0  0  1  1 | 0  1  0  1 1
. . . o3x |   3 |   0   0   3 |  *   *   *   *   *   * 60 |  0  0  0  0  2  0  0  2 | 0  0  1  2 1
----------+-----+-------------+---------------------------+-------------------------+-------------
x3o3x . .   12 |  12  12   0 |  4   6   0   4   0   0  0 | 30  *  *  *  *  *  *  * | 1  1  0  0 0
x3o . . x    6 |   6   0   3 |  2   0   3   0   0   0  0 |  * 60  *  *  *  *  *  * | 0  1  1  0 0
x . x3o .    6 |   3   6   0 |  0   3   0   0   2   0  0 |  *  * 60  *  *  *  *  * | 1  0  0  1 0
x . x . x    8 |   4   4   4 |  0   2   2   0   0   2  0 |  *  *  * 90  *  *  *  * | 0  1  0  1 0
x . . o3x    6 |   3   0   6 |  0   0   3   0   0   0  2 |  *  *  *  * 60  *  *  * | 0  0  1  1 0
. o3x3o .    6 |   0  12   0 |  0   0   0   4   4   0  0 |  *  *  *  *  * 30  *  * | 1  0  0  0 1
. o3x . x    6 |   0   6   3 |  0   0   0   2   0   3  0 |  *  *  *  *  *  * 60  * | 0  1  0  0 1
. . x3o3x   12 |   0  12  12 |  0   0   0   0   4   6  4 |  *  *  *  *  *  *  * 30 | 0  0  0  1 1
----------+-----+-------------+---------------------------+-------------------------+-------------
x3o3x3o .   30 |  30  60   0 | 10  30   0  20  20   0  0 |  5  0 10  0  0  5  0  0 | 6  *  *  * *
x3o3x . x   24 |  24  24  12 |  8  12  12   8   0  12  0 |  2  4  0  6  0  0  4  0 | * 15  *  * *
x3o . o3x    9 |   9   0   9 |  3   0   9   0   0   0  3 |  0  3  0  0  3  0  0  0 | *  * 20  * *
x . x3o3x   24 |  12  24  24 |  0  12  12   0   8  12  8 |  0  0  4  6  4  0  0  2 | *  *  * 15 *
. o3x3o3x   30 |   0  60  30 |  0   0   0  20  20  30 10 |  0  0  0  0  0  5 10  5 | *  *  *  * 6
or
. . . . .    | 180    4   4 |   2   8   4   4 |  4   4   4  4  1 |  2  4  1
-------------+-----+---------+-----------------+------------------+---------
x . . . .  & |   2 | 360   * |   1   2   2   0 |  2   3   1  2  0 |  1  3  1
. . x . .    |   2 |   * 360 |   0   2   0   2 |  2   0   2  1  1 |  2  2  0
-------------+-----+---------+-----------------+------------------+---------
x3o . . .  & |   3 |   3   0 | 120   *   *   * |  2   2   0  0  0 |  1  2  1
x . x . .  & |   4 |   2   2 |   * 360   *   * |  1   0   1  1  0 |  1  2  0
x . . . x    |   4 |   4   0 |   *   * 180   * |  0   2   0  1  0 |  0  2  1
. o3x . .  & |   3 |   0   3 |   *   *   * 240 |  1   0   1  0  1 |  2  1  0
-------------+-----+---------+-----------------+------------------+---------
x3o3x . .  &   12 |  12  12 |   4   6   0   4 | 60   *   *  *  * |  1  1  0
x3o . . x  &    6 |   9   0 |   2   0   3   0 |  * 120   *  *  * |  0  1  1
x . x3o .  &    6 |   3   6 |   0   3   0   2 |  *   * 120  *  * |  1  1  0
x . x . x       8 |   8   4 |   0   4   2   0 |  *   *   * 90  * |  0  2  0
. o3x3o .       6 |   0  12 |   0   0   0   8 |  *   *   *  * 30 |  2  0  0
-------------+-----+---------+-----------------+------------------+---------
x3o3x3o .  &   30 |  30  60 |  10  30   0  40 |  5   0  10  0  5 | 12  *  *
x3o3x . x  &   24 |  36  24 |   8  24  12   8 |  2   4   4  6  0 |  * 30  *
x3o . o3x       9 |  18   0 |   6   0   9   0 |  0   6   0  0  0 |  *  * 20

xxxo3ooxx3xxoo3oxxx&#xt   → all heights = sqrt(3/5) = 0.774597
(srip || pseudo prip || pseudo inv prip || inv srip)

o...3o...3o...3o...     & | 60   *   2   4   2   0   0  0   0 |  1  4  2  2   4   4  1  0  0  0  0   0   0 |  2  2  1  2  4  2  2  2  0  0  0  0  0 | 1  2  1  2  1
.o..3.o..3.o..3.o..     & |  * 120   0   0   1   2   2  1   2 |  0  0  0  0   2   2  1  1  2  2  1   4   3 |  0  0  0  1  2  2  1  3  1  1  3  2  1 | 0  1  1  3  2
--------------------------+--------+---------------------------+--------------------------------------------+----------------------------------------+--------------
x... .... .... ....     & |  2   0 | 60   *   *   *   *  *   * |  1  2  0  0   1   0  0  0  0  0  0   0   0 |  2  1  0  2  2  0  0  0  0  0  0  0  0 | 1  2  1  1  0
.... .... x... ....     & |  2   0 |  * 120   *   *   *  *   * |  0  1  1  1   0   1  0  0  0  0  0   0   0 |  1  1  1  0  1  0  1  1  0  0  0  0  0 | 1  1  0  1  1
oo..3oo..3oo..3oo..&#x  & |  1   1 |  *   * 120   *   *  *   * |  0  0  0  0   2   2  1  0  0  0  0   0   0 |  0  0  0  1  2  2  1  2  0  0  0  0  0 | 0  1  1  2  1
.x.. .... .... ....     & |  0   2 |  *   *   * 120   *  *   * |  0  0  0  0   1   0  0  1  1  1  0   1   0 |  0  0  0  1  1  1  0  1  1  1  1  1  0 | 0  1  1  2  1
.... .... .x.. ....     & |  0   2 |  *   *   *   * 120  *   * |  0  0  0  0   0   1  0  0  1  0  1   0   1 |  0  0  0  0  1  0  1  1  1  0  1  0  1 | 0  1  0  1  2
.... .... .... .x..     & |  0   2 |  *   *   *   *   * 60   * |  0  0  0  0   0   0  1  0  0  2  0   2   0 |  0  0  0  0  0  2  0  2  0  1  1  2  0 | 0  0  1  3  1
.oo.3.oo.3.oo.3.oo.&#x    |  0   2 |  *   *   *   *   *  * 120 |  0  0  0  0   0   0  0  0  0  0  0   2   2 |  0  0  0  0  0  0  0  1  0  0  2  1  1 | 0  0  0  2  2
--------------------------+--------+---------------------------+--------------------------------------------+----------------------------------------+--------------
x...3o... .... ....     & |  3   0 |  3   0   0   0   0  0   0 | 20  *  *  *   *   *  *  *  *  *  *   *   * |  2  0  0  2  0  0  0  0  0  0  0  0  0 | 1  2  1  0  0
x... .... x... ....     & |  4   0 |  2   2   0   0   0  0   0 |  * 60  *  *   *   *  *  *  *  *  *   *   * |  1  1  0  0  1  0  0  0  0  0  0  0  0 | 1  1  0  1  0
.... o...3x... ....     & |  3   0 |  0   3   0   0   0  0   0 |  *  * 40  *   *   *  *  *  *  *  *   *   * |  1  0  1  0  0  0  1  0  0  0  0  0  0 | 1  1  0  0  1
.... .... x...3o...     & |  3   0 |  0   3   0   0   0  0   0 |  *  *  * 40   *   *  *  *  *  *  *   *   * |  0  1  1  0  0  0  0  1  0  0  0  0  0 | 1  0  0  1  1
xx.. .... .... ....&#x  & |  2   2 |  1   0   2   1   0  0   0 |  *  *  *  * 120   *  *  *  *  *  *   *   * |  0  0  0  1  1  1  0  0  0  0  0  0  0 | 0  1  1  1  0
.... .... xx.. ....&#x  & |  2   2 |  0   1   2   0   1  0   0 |  *  *  *  *   * 120  *  *  *  *  *   *   * |  0  0  0  0  1  0  1  1  0  0  0  0  0 | 0  1  0  1  1
.... .... .... ox..&#x  & |  1   2 |  0   0   2   0   0  1   0 |  *  *  *  *   *   * 60  *  *  *  *   *   * |  0  0  0  0  0  2  0  2  0  0  0  0  0 | 0  0  1  2  1
.x..3.o.. .... ....     & |  0   3 |  0   0   0   3   0  0   0 |  *  *  *  *   *   *  * 40  *  *  *   *   * |  0  0  0  1  0  0  0  1  1  1  0  0  0 | 0  1  1  1  1
.x.. .... .x.. ....     & |  0   4 |  0   0   0   2   2  0   0 |  *  *  *  *   *   *  *  * 60  *  *   *   * |  0  0  0  0  1  0  0  0  1  0  1  0  0 | 0  1  0  1  1
.x.. .... .... .x..     & |  0   4 |  0   0   0   2   0  2   0 |  *  *  *  *   *   *  *  *  * 60  *   *   * |  0  0  0  0  0  1  0  0  0  1  0  1  0 | 0  0  1  2  0
.... .o..3.x.. ....     & |  0   3 |  0   0   0   0   3  0   0 |  *  *  *  *   *   *  *  *  *  * 40   *   * |  0  0  0  0  0  0  1  0  1  0  0  0  1 | 0  1  0  0  2
.xx. .... .... ....&#x  & |  0   4 |  0   0   0   1   0  1   2 |  *  *  *  *   *   *  *  *  *  *  * 120   * |  0  0  0  0  0  0  0  1  0  0  1  1  0 | 0  0  0  2  1
.... .ox. .... ....&#x  & |  0   3 |  0   0   0   0   1  0   2 |  *  *  *  *   *   *  *  *  *  *  *   * 120 |  0  0  0  0  0  0  0  1  0  0  1  0  1 | 0  0  0  1  2
--------------------------+--------+---------------------------+--------------------------------------------+----------------------------------------+--------------
x...3o...3x... ....     &  12   0 | 12  12   0   0   0  0   0 |  4  6  4  0   0   0  0  0  0  0  0   0   0 | 10  *  *  *  *  *  *  *  *  *  *  *  * | 1  1  0  0  0
x... .... x...3o...     &   6   0 |  3   6   0   0   0  0   0 |  0  3  0  2   0   0  0  0  0  0  0   0   0 |  * 20  *  *  *  *  *  *  *  *  *  *  * | 1  0  0  1  0
.... o...3x...3o...     &   6   0 |  0  12   0   0   0  0   0 |  0  0  4  4   0   0  0  0  0  0  0   0   0 |  *  * 10  *  *  *  *  *  *  *  *  *  * | 1  0  0  0  1
xx..3oo.. .... ....&#x  &   3   3 |  3   0   3   3   0  0   0 |  1  0  0  0   3   0  0  1  0  0  0   0   0 |  *  *  * 40  *  *  *  *  *  *  *  *  * | 0  1  1  0  0
xx.. .... xx.. ....&#x  &   4   4 |  2   2   4   2   2  0   0 |  0  1  0  0   2   2  0  0  1  0  0   0   0 |  *  *  *  * 60  *  *  *  *  *  *  *  * | 0  1  0  1  0
xx.. .... .... ox..&#x  &   2   4 |  1   0   4   2   0  2   0 |  0  0  0  0   2   0  2  0  0  1  0   0   0 |  *  *  *  *  * 60  *  *  *  *  *  *  * | 0  0  1  1  0
.... oo..3xx.. ....&#x  &   3   3 |  0   3   3   0   3  0   0 |  0  0  1  0   0   3  0  0  0  0  1   0   0 |  *  *  *  *  *  * 40  *  *  *  *  *  * | 0  1  0  0  1
.... .... xxo.3oxx.&#xt &   3   9 |  0   3   6   3   3  3   6 |  0  0  0  1   0   3  3  1  0  0  0   3   3 |  *  *  *  *  *  *  * 40  *  *  *  *  * | 0  0  0  1  1
.x..3.o..3.x.. ....     &   0  12 |  0   0   0  12  12  0   0 |  0  0  0  0   0   0  0  4  6  0  4   0   0 |  *  *  *  *  *  *  *  * 10  *  *  *  * | 0  1  0  0  1
.x..3.o.. .... .x..     &   0   6 |  0   0   0   6   0  3   0 |  0  0  0  0   0   0  0  2  0  3  0   0   0 |  *  *  *  *  *  *  *  *  * 20  *  *  * | 0  0  1  1  0
.xx. .... .xo. ....     &   0   6 |  0   0   0   2   2  1   4 |  0  0  0  0   0   0  0  0  1  0  0   2   2 |  *  *  *  *  *  *  *  *  *  * 60  *  * | 0  0  0  1  1
.xx. .... .... .xx.         0   8 |  0   0   0   4   0  4   4 |  0  0  0  0   0   0  0  0  0  2  0   4   0 |  *  *  *  *  *  *  *  *  *  *  * 30  * | 0  0  0  2  0
.... .ox.3.xo. ....         0   6 |  0   0   0   0   6  0   6 |  0  0  0  0   0   0  0  0  0  0  2   0   6 |  *  *  *  *  *  *  *  *  *  *  *  * 20 | 0  0  0  0  2
--------------------------+--------+---------------------------+--------------------------------------------+----------------------------------------+--------------
x...3o...3x...3o...     &  30   0 | 30  60   0   0   0  0   0 | 10 30 20 20   0   0  0  0  0  0  0   0   0 |  5 10  5  0  0  0  0  0  0  0  0  0  0 | 2  *  *  *  *
xx..3oo..3xx.. ....&#x  &  12  12 | 12  12  12  12  12  0   0 |  4  6  4  0  12  12  0  4  6  0  4   0   0 |  1  0  0  4  6  0  4  0  1  0  0  0  0 | * 10  *  *  *
xx..3oo.. .... ox..&#x  &   3   6 |  3   0   6   6   0  3   0 |  1  0  0  0   6   0  3  2  0  3  0   0   0 |  0  0  0  2  0  3  0  0  0  1  0  0  0 | *  * 20  *  *
xxx. .... xxo.3oxx.&#xt &   6  18 |  3   6  12  12   6  9  12 |  0  3  0  2   6   6  6  2  3  6  0  12   6 |  0  1  0  0  3  3  0  2  0  1  3  3  0 | *  *  * 20  *
.... oox.3xxo.3oxx.&#xt &   6  24 |  0  12  12  12  24  6  24 |  0  0  4  4   0  12  6  4  6  0  8  12  24 |  0  0  1  0  0  0  4  4  1  0  6  0  4 | *  *  *  * 10

© 2004-2019
top of page