Acronym spiddip
Name small-prismatodecachoron prism
Circumradius sqrt(5)/2 = 1.118034
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x x3o3o3x

. . . . . | 40 |  1  3  3 |  3  3  3  6  3 |  3  6  3  1  3  3  1 | 1  3  3 1 1
----------+----+----------+----------------+----------------------+------------
x . . . . |  2 | 20  *  * |  3  3  0  0  0 |  3  6  3  0  0  0  0 | 1  3  3 1 0
. x . . . |  2 |  * 60  * |  1  0  2  2  0 |  2  2  0  1  2  1  0 | 1  2  1 0 1
. . . . x |  2 |  *  * 60 |  0  1  0  2  2 |  0  2  2  0  1  2  1 | 0  1  2 1 1
----------+----+----------+----------------+----------------------+------------
x x . . . |  4 |  2  2  0 | 30  *  *  *  * |  2  2  0  0  0  0  0 | 1  2  1 0 0
x . . . x |  4 |  2  0  2 |  * 30  *  *  * |  0  2  2  0  0  0  0 | 0  1  2 1 0
. x3o . . |  3 |  0  3  0 |  *  * 40  *  * |  1  0  0  1  1  0  0 | 1  1  0 0 1
. x . . x |  4 |  0  2  2 |  *  *  * 60  * |  0  1  0  0  1  1  0 | 0  1  1 0 1
. . . o3x |  3 |  0  0  3 |  *  *  *  * 40 |  0  0  1  0  0  1  1 | 0  0  1 1 1
----------+----+----------+----------------+----------------------+------------
x x3o . .   6 |  3  6  0 |  3  0  2  0  0 | 20  *  *  *  *  *  * | 1  1  0 0 0
x x . . x   8 |  4  4  4 |  2  2  0  2  0 |  * 30  *  *  *  *  * | 0  1  1 0 0
x . . o3x   6 |  3  0  6 |  0  3  0  0  2 |  *  * 20  *  *  *  * | 0  0  1 1 0
. x3o3o .   4 |  0  6  0 |  0  0  4  0  0 |  *  *  * 10  *  *  * | 1  0  0 0 1
. x3o . x   6 |  0  6  3 |  0  0  2  3  0 |  *  *  *  * 20  *  * | 0  1  0 0 1
. x . o3x   6 |  0  3  6 |  0  0  0  3  2 |  *  *  *  *  * 20  * | 0  0  1 0 1
. . o3o3x   4 |  0  0  6 |  0  0  0  0  4 |  *  *  *  *  *  * 10 | 0  0  0 1 1
----------+----+----------+----------------+----------------------+------------
x x3o3o .   8 |  4 12  0 |  6  0  8  0  0 |  4  0  0  2  0  0  0 | 5  *  * * *
x x3o . x  12 |  6 12  6 |  6  3  4  6  0 |  2  3  0  0  2  0  0 | * 10  * * *
x x . o3x  12 |  6  6 12 |  3  6  0  6  4 |  0  3  2  0  0  2  0 | *  * 10 * *
x . o3o3x   8 |  4  0 12 |  0  6  0  0  8 |  0  0  4  0  0  0  2 | *  *  * 5 *
. x3o3o3x  20 |  0 30 30 |  0  0 20 30 20 |  0  0  0  5 10 10  5 | *  *  * * 2
or
. . . . .    | 40 |  1   6 |  6  6  6 |  6  6  2  6 |  2  6 1
-------------+----+--------+----------+-------------+--------
x . . . .    |  2 | 20   * |  6  0  0 |  6  6  0  0 |  2  6 0
. x . . .  & |  2 |  * 120 |  1  2  2 |  2  2  1  3 |  1  3 1
-------------+----+--------+----------+-------------+--------
x x . . .  & |  4 |  2   2 | 60  *  * |  2  2  0  0 |  1  3 0
. x3o . .  & |  3 |  0   3 |  * 80  * |  1  0  1  1 |  1  1 1
. x . . x    |  4 |  0   4 |  *  * 60 |  0  1  0  2 |  0  2 1
-------------+----+--------+----------+-------------+--------
x x3o . .  &   6 |  3   6 |  3  2  0 | 40  *  *  * |  1  1 0
x x . . x      8 |  4   8 |  4  0  2 |  * 30  *  * |  0  2 0
. x3o3o .  &   4 |  0   6 |  0  4  0 |  *  * 20  * |  1  0 1
. x3o . x  &   6 |  0   9 |  0  2  3 |  *  *  * 40 |  0  1 1
-------------+----+--------+----------+-------------+--------
x x3o3o .  &   8 |  4  12 |  6  8  0 |  4  0  2  0 | 10  * *
x x3o . x  &  12 |  6  18 |  9  4  6 |  2  3  0  2 |  * 20 *
. x3o3o3x     20 |  0  60 |  0 40 30 |  0  0 10 20 |  *  * 2

xx3oo3oo3xx&#x   → height = 1
(spid || spid)

o.3o.3o.3o.    | 20  * |  3  3  1  0  0 |  3  6  3  3  3  0  0  0 | 1  3  3 1  3  6  3 0  0  0 0 | 1 1  3  3 1 0
.o3.o3.o3.o    |  * 20 |  0  0  1  3  3 |  0  0  0  3  3  3  6  3 | 0  0  0 0  3  6  3 1  3  3 1 | 0 1  3  3 1 1
---------------+-------+----------------+-------------------------+------------------------------+--------------
x. .. .. ..    |  2  0 | 30  *  *  *  * |  2  2  0  1  0  0  0  0 | 1  2  1 0  2  2  0 0  0  0 0 | 1 1  2  1 0 0
.. .. .. x.    |  2  0 |  * 30  *  *  * |  0  2  2  0  1  0  0  0 | 0  1  2 1  0  2  2 0  0  0 0 | 1 0  1  2 1 0
oo3oo3oo3oo&#x |  1  1 |  *  * 20  *  * |  0  0  0  3  3  0  0  0 | 0  0  0 0  3  6  3 0  0  0 0 | 0 1  3  3 1 0
.x .. .. ..    |  0  2 |  *  *  * 30  * |  0  0  0  1  0  2  2  0 | 0  0  0 0  2  2  0 1  2  1 0 | 0 1  2  1 0 1
.. .. .. .x    |  0  2 |  *  *  *  * 30 |  0  0  0  0  1  0  2  2 | 0  0  0 0  0  2  2 0  1  2 1 | 0 0  1  2 1 1
---------------+-------+----------------+-------------------------+------------------------------+--------------
x.3o. .. ..    |  3  0 |  3  0  0  0  0 | 20  *  *  *  *  *  *  * | 1  1  0 0  1  0  0 0  0  0 0 | 1 1  1  0 0 0
x. .. .. x.    |  4  0 |  2  2  0  0  0 |  * 30  *  *  *  *  *  * | 0  1  1 0  0  1  0 0  0  0 0 | 1 0  1  1 0 0
.. .. o.3x.    |  3  0 |  0  3  0  0  0 |  *  * 20  *  *  *  *  * | 0  0  1 1  0  0  1 0  0  0 0 | 1 0  0  1 1 0
xx .. .. ..&#x |  2  2 |  1  0  2  1  0 |  *  *  * 30  *  *  *  * | 0  0  0 0  2  2  0 0  0  0 0 | 0 1  2  1 0 0
.. .. .. xx&#x |  2  2 |  0  1  2  0  1 |  *  *  *  * 30  *  *  * | 0  0  0 0  0  2  2 0  0  0 0 | 0 0  1  2 1 0
.x3.o .. ..    |  0  3 |  0  0  0  3  0 |  *  *  *  *  * 20  *  * | 0  0  0 0  1  0  0 1  1  0 0 | 0 1  1  0 0 1
.x .. .. .x    |  0  4 |  0  0  0  2  2 |  *  *  *  *  *  * 30  * | 0  0  0 0  0  1  0 0  1  1 0 | 0 0  1  1 0 1
.. .. .o3.x    |  0  3 |  0  0  0  0  3 |  *  *  *  *  *  *  * 20 | 0  0  0 0  0  0  1 0  0  1 1 | 0 0  0  1 1 1
---------------+-------+----------------+-------------------------+------------------------------+--------------
x.3o.3o. ..      4  0 |  6  0  0  0  0 |  4  0  0  0  0  0  0  0 | 5  *  * *  *  *  * *  *  * * | 1 1  0  0 0 0
x.3o. .. x.      6  0 |  6  3  0  0  0 |  2  3  0  0  0  0  0  0 | * 10  * *  *  *  * *  *  * * | 1 0  1  0 0 0
x. .. o.3x.      6  0 |  3  6  0  0  0 |  0  3  2  0  0  0  0  0 | *  * 10 *  *  *  * *  *  * * | 1 0  0  1 0 0
.. o.3o.3x.      4  0 |  0  6  0  0  0 |  0  0  4  0  0  0  0  0 | *  *  * 5  *  *  * *  *  * * | 1 0  0  0 1 0
xx3oo .. ..&#x   3  3 |  3  0  3  3  0 |  1  0  0  3  0  1  0  0 | *  *  * * 20  *  * *  *  * * | 0 1  1  0 0 0
xx .. .. xx&#x   4  4 |  2  2  4  2  2 |  0  1  0  2  2  0  1  0 | *  *  * *  * 30  * *  *  * * | 0 0  1  1 0 0
.. .. oo3xx&#x   3  3 |  0  3  3  0  3 |  0  0  1  0  3  0  0  1 | *  *  * *  *  * 20 *  *  * * | 0 0  0  1 1 0
.x3.o3.o ..      0  4 |  0  0  0  6  0 |  0  0  0  0  0  4  0  0 | *  *  * *  *  *  * 5  *  * * | 0 1  0  0 0 1
.x3.o .. .x      0  6 |  0  0  0  6  3 |  0  0  0  0  0  2  3  0 | *  *  * *  *  *  * * 10  * * | 0 0  1  0 0 1
.x .. .o3.x      0  6 |  0  0  0  3  6 |  0  0  0  0  0  0  3  2 | *  *  * *  *  *  * *  * 10 * | 0 0  0  1 0 1
.. .o3.o3.x      0  4 |  0  0  0  0  6 |  0  0  0  0  0  0  0  4 | *  *  * *  *  *  * *  *  * 5 | 0 0  0  0 1 1
---------------+-------+----------------+-------------------------+------------------------------+--------------
x.3o.3o.3x.     20  0 | 30 30  0  0  0 | 20 30 20  0  0  0  0  0 | 5 10 10 5  0  0  0 0  0  0 0 | 1 *  *  * * *
xx3oo3oo ..&#x   4  4 |  6  0  4  6  0 |  4  0  0  6  0  4  0  0 | 1  0  0 0  4  0  0 1  0  0 0 | * 5  *  * * *
xx3oo .. xx&#x   6  6 |  6  3  6  6  3 |  2  3  0  6  3  2  3  0 | 0  1  0 0  2  3  0 0  1  0 0 | * * 10  * * *
xx .. oo3xx&#x   6  6 |  3  6  6  3  6 |  0  3  2  3  6  0  3  2 | 0  0  1 0  0  3  2 0  0  1 0 | * *  * 10 * *
.. oo3oo3xx&#x   4  4 |  0  6  4  0  6 |  0  0  4  0  6  0  0  4 | 0  0  0 1  0  0  4 0  0  0 1 | * *  *  * 5 *
.x3.o3.o3.x      0 20 |  0  0  0 30 30 |  0  0  0  0  0 20 30 20 | 0  0  0 0  0  0  0 5 10 10 5 | * *  *  * * 1
or
o.3o.3o.3o.       | 20  * |  6  1  0 |  6  6  6  0  0 |  2  6  6  6  0  0 | 1  2  6 0
.o3.o3.o3.o       |  * 20 |  0  1  6 |  0  0  6  6  6 |  0  0  6  6  2  6 | 0  2  6 1
------------------+-------+----------+----------------+-------------------+----------
x. .. .. ..     & |  2  0 | 60  *  * |  2  2  1  0  0 |  1  3  2  2  0  0 | 1  1  3 0
oo3oo3oo3oo&#x    |  1  1 |  * 20  * |  0  0  6  0  0 |  0  0  6  6  0  0 | 0  2  6 0
.x .. .. ..     & |  0  2 |  *  * 60 |  0  0  1  2  2 |  0  0  2  2  1  3 | 0  1  3 1
------------------+-------+----------+----------------+-------------------+----------
x.3o. .. ..     & |  3  0 |  3  0  0 | 40  *  *  *  * |  1  1  1  0  0  0 | 1  1  1 0
x. .. .. x.       |  4  0 |  4  0  0 |  * 30  *  *  * |  0  2  0  1  0  0 | 1  0  2 0
xx .. .. ..&#x  & |  2  2 |  1  2  1 |  *  * 60  *  * |  0  0  2  2  0  0 | 0  1  3 0
.x3.o .. ..     & |  0  3 |  0  0  3 |  *  *  * 40  * |  0  0  1  0  1  1 | 0  1  1 1
.x .. .. .x       |  0  4 |  0  0  4 |  *  *  *  * 30 |  0  0  0  1  0  2 | 0  0  2 1
------------------+-------+----------+----------------+-------------------+----------
x.3o.3o. ..     &   4  0 |  6  0  0 |  4  0  0  0  0 | 10  *  *  *  *  * | 1  1  0 0
x.3o. .. x.     &   6  0 |  9  0  0 |  2  3  0  0  0 |  * 20  *  *  *  * | 1  0  1 0
xx3oo .. ..&#x  &   3  3 |  3  3  3 |  1  0  3  1  0 |  *  * 40  *  *  * | 0  1  1 0
xx .. .. xx&#x      4  4 |  4  4  4 |  0  1  4  0  1 |  *  *  * 30  *  * | 0  0  2 0
.x3.o3.o ..     &   0  4 |  0  0  6 |  0  0  0  4  0 |  *  *  *  * 10  * | 0  1  0 1
.x3.o .. .x     &   0  6 |  0  0  9 |  0  0  0  2  3 |  *  *  *  *  * 20 | 0  0  1 1
------------------+-------+----------+----------------+-------------------+----------
x.3o.3o.3x.        20  0 | 60  0  0 | 40 30  0  0  0 | 10 20  0  0  0  0 | 1  *  * *
xx3oo3oo ..&#x  &   4  4 |  6  4  6 |  4  0  6  4  0 |  1  0  4  0  1  0 | * 10  * *
xx3oo .. xx&#x  &   6  6 |  9  6  9 |  2  3  9  2  3 |  0  1  2  3  0  1 | *  * 20 *
.x3.o3.o3.x         0 20 |  0  0 60 |  0  0  0 40 30 |  0  0  0  0 10 20 | *  *  * 1

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