Acronym siddic
Name small distetracontoctachoron
Cross sections
 ©
Circumradius sqrt[2+sqrt(2)] = 1.847759
General of army spic
Colonel of regiment spic
External
links
hedrondude   WikiChoron  

As abstract polytope siddic is isomorphic to giddic, thereby replacing octagons by octagrams, and thus tic by quith. – As such siddic is a lieutenant.


Incidence matrix according to Dynkin symbol

x3o4o3/2x4*a

. . .   .    | 144 |   4   4 |   4   8   4 |  1  4  4  1
-------------+-----+---------+-------------+------------
x . .   .    |   2 | 288   * |   2   2   0 |  1  2  1  0
. . .   x    |   2 |   * 288 |   0   2   2 |  0  1  2  1
-------------+-----+---------+-------------+------------
x3o .   .    |   3 |   3   0 | 192   *   * |  1  1  0  0
x . .   x4*a |   8 |   4   4 |   * 144   * |  0  1  1  0
. . o3/2x    |   3 |   0   3 |   *   * 192 |  0  0  1  1
-------------+-----+---------+-------------+------------
x3o4o   .       6 |  12   0 |   8   0   0 | 24  *  *  *
x3o .   x4*a   24 |  24  12 |   8   6   0 |  * 24  *  *
x . o3/2x4*a   24 |  12  24 |   0   6   8 |  *  * 24  *
. o4o3/2x       6 |   0  12 |   0   0   8 |  *  *  * 24

x3o4/3o3x4*a

. .   . .    | 144 |   4   4 |   4   8   4 |  1  4  4  1
-------------+-----+---------+-------------+------------
x .   . .    |   2 | 288   * |   2   2   0 |  1  2  1  0
. .   . x    |   2 |   * 288 |   0   2   2 |  0  1  2  1
-------------+-----+---------+-------------+------------
x3o   . .    |   3 |   3   0 | 192   *   * |  1  1  0  0
x .   . x4*a |   8 |   4   4 |   * 144   * |  0  1  1  0
. .   o3x    |   3 |   0   3 |   *   * 192 |  0  0  1  1
-------------+-----+---------+-------------+------------
x3o4/3o .       6 |  12   0 |   8   0   0 | 24  *  *  *
x3o   . x4*a   24 |  24  12 |   8   6   0 |  * 24  *  *
x .   o3x4*a   24 |  12  24 |   0   6   8 |  *  * 24  *
. o4/3o3x       6 |   0  12 |   0   0   8 |  *  *  * 24
or
. .   . .       | 144 |   8 |   8   8 |  2  8
----------------+-----+-----+---------+------
x .   . .     & |   2 | 576 |   2   2 |  1  3
----------------+-----+-----+---------+------
x3o   . .     & |   3 |   3 | 384   * |  1  1
x .   . x4*a    |   8 |   8 |   * 144 |  0  2
----------------+-----+-----+---------+------
x3o4/3o .     &    6 |  12 |   8   0 | 48  *
x3o   . x4*a  &   24 |  36 |   8   6 |  * 48

x3/2o4/3o3/2x4*a

.   .   .   .    | 144 |   4   4 |   4   8   4 |  1  4  4  1
-----------------+-----+---------+-------------+------------
x   .   .   .    |   2 | 288   * |   2   2   0 |  1  2  1  0
.   .   .   x    |   2 |   * 288 |   0   2   2 |  0  1  2  1
-----------------+-----+---------+-------------+------------
x3/2o   .   .    |   3 |   3   0 | 192   *   * |  1  1  0  0
x   .   .   x4*a |   8 |   4   4 |   * 144   * |  0  1  1  0
.   .   o3/2x    |   3 |   0   3 |   *   * 192 |  0  0  1  1
-----------------+-----+---------+-------------+------------
x3/2o4/3o   .       6 |  12   0 |   8   0   0 | 24  *  *  *
x3/2o   .   x4*a   24 |  24  12 |   8   6   0 |  * 24  *  *
x   .   o3/2x4*a   24 |  12  24 |   0   6   8 |  *  * 24  *
.   o4/3o3/2x       6 |   0  12 |   0   0   8 |  *  *  * 24
or
.   .   .   .       | 144 |   8 |   8   8 |  2  8
--------------------+-----+-----+---------+------
x   .   .   .     & |   2 | 576 |   2   2 |  1  3
--------------------+-----+-----+---------+------
x3/2o   .   .     & |   3 |   3 | 384   * |  1  1
x   .   .   x4*a    |   8 |   8 |   * 144 |  0  2
--------------------+-----+-----+---------+------
x3/2o4/3o   .     &    6 |  12 |   8   0 | 48  *
x3/2o   .   x4*a  &   24 |  36 |   8   6 |  * 48

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