Acronym iddip, K-4.90
Name icosidodecahedron prism
Segmentochoron display
Cross sections
 ©
Circumradius sqrt[7+2 sqrt(5)]/2 = 1.693527
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
External
links
hedrondude   wikipedia  

As abstract polytope iddip is isomorphic to giddip, thereby replacing id by gid and pip by stip.


Incidence matrix according to Dynkin symbol

x o3x5o

. . . . | 60 |  1   4 |  4  2  2 |  2  2 1
--------+----+--------+----------+--------
x . . . |  2 | 30   * |  4  0  0 |  2  2 0
. . x . |  2 |  * 120 |  1  1  1 |  1  1 1
--------+----+--------+----------+--------
x . x . |  4 |  2   2 | 60  *  * |  1  1 0
. o3x . |  3 |  0   3 |  * 40  * |  1  0 1
. . x5o |  5 |  0   5 |  *  * 24 |  0  1 1
--------+----+--------+----------+--------
x o3x .   6 |  3   6 |  3  2  0 | 20  * *
x . x5o  10 |  5  10 |  5  0  2 |  * 12 *
. o3x5o  30 |  0  60 |  0 20 12 |  *  * 2

x o3x5/4o

. . .   . | 60 |  1   4 |  4  2  2 |  2  2 1
----------+----+--------+----------+--------
x . .   . |  2 | 30   * |  4  0  0 |  2  2 0
. . x   . |  2 |  * 120 |  1  1  1 |  1  1 1
----------+----+--------+----------+--------
x . x   . |  4 |  2   2 | 60  *  * |  1  1 0
. o3x   . |  3 |  0   3 |  * 40  * |  1  0 1
. . x5/4o |  5 |  0   5 |  *  * 24 |  0  1 1
----------+----+--------+----------+--------
x o3x   .   6 |  3   6 |  3  2  0 | 20  * *
x . x5/4o  10 |  5  10 |  5  0  2 |  * 12 *
. o3x5/4o  30 |  0  60 |  0 20 12 |  *  * 2

x o3/2x5o

. .   . . | 60 |  1   4 |  4  2  2 |  2  2 1
----------+----+--------+----------+--------
x .   . . |  2 | 30   * |  4  0  0 |  2  2 0
. .   x . |  2 |  * 120 |  1  1  1 |  1  1 1
----------+----+--------+----------+--------
x .   x . |  4 |  2   2 | 60  *  * |  1  1 0
. o3/2x . |  3 |  0   3 |  * 40  * |  1  0 1
. .   x5o |  5 |  0   5 |  *  * 24 |  0  1 1
----------+----+--------+----------+--------
x o3/2x .   6 |  3   6 |  3  2  0 | 20  * *
x .   x5o  10 |  5  10 |  5  0  2 |  * 12 *
. o3/2x5o  30 |  0  60 |  0 20 12 |  *  * 2

x o3/2x5/4o

. .   .   . | 60 |  1   4 |  4  2  2 |  2  2 1
------------+----+--------+----------+--------
x .   .   . |  2 | 30   * |  4  0  0 |  2  2 0
. .   x   . |  2 |  * 120 |  1  1  1 |  1  1 1
------------+----+--------+----------+--------
x .   x   . |  4 |  2   2 | 60  *  * |  1  1 0
. o3/2x   . |  3 |  0   3 |  * 40  * |  1  0 1
. .   x5/4o |  5 |  0   5 |  *  * 24 |  0  1 1
------------+----+--------+----------+--------
x o3/2x   .   6 |  3   6 |  3  2  0 | 20  * *
x .   x5/4o  10 |  5  10 |  5  0  2 |  * 12 *
. o3/2x5/4o  30 |  0  60 |  0 20 12 |  *  * 2

oo3xx5oo&#x   → height = 1
(id || id)

o.3o.5o.    | 30  * |  4  1  0 |  2  2  4  0  0 | 1  2  2 0
.o3.o5.o    |  * 30 |  0  1  4 |  0  0  4  2  2 | 0  2  2 1
------------+-------+----------+----------------+----------
.. x. ..    |  2  0 | 60  *  * |  1  1  1  0  0 | 1  1  1 0
oo3oo5oo&#x |  1  1 |  * 30  * |  0  0  4  0  0 | 0  2  2 0
.. .x ..    |  0  2 |  *  * 60 |  0  0  1  1  1 | 0  1  1 1
------------+-------+----------+----------------+----------
o.3x. ..    |  3  0 |  3  0  0 | 20  *  *  *  * | 1  1  0 0
.. x.5o.    |  5  0 |  5  0  0 |  * 12  *  *  * | 1  0  1 0
.. xx ..&#x |  2  2 |  1  2  1 |  *  * 60  *  * | 0  1  1 0
.o3.x ..    |  0  3 |  0  0  3 |  *  *  * 20  * | 0  1  0 1
.. .x5.o    |  0  5 |  0  0  5 |  *  *  *  * 12 | 0  0  1 1
------------+-------+----------+----------------+----------
o.3x.5o.     30  0 | 60  0  0 | 20 12  0  0  0 | 1  *  * *
oo3xx ..&#x   3  3 |  3  3  3 |  1  0  3  1  0 | * 20  * *
.. xx5oo&#x   5  5 |  5  5  5 |  0  1  5  0  1 | *  * 12 *
.o3.x5.o      0 30 |  0  0 60 |  0  0  0 20 12 | *  *  * 1

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