Acronym twip
Name dodecagonal prism
Circumradius sqrt[9+4 sqrt(3)]/2 = 1.995508
Vertex figure [42,12]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between {4} and {4}:   150°
  • between {4} and {12}:   90°
Confer
more general:
n-p   2n-p  
general polytopal classes:
segmentohedra  
External
links
wikipedia

Incidence matrix according to Dynkin symbol

x x12o

. .  . | 24 |  1  2 |  2 1
-------+----+-------+-----
x .  . |  2 | 12  * |  2 0
. x  . |  2 |  * 24 |  1 1
-------+----+-------+-----
x x  . |  4 |  2  2 | 12 *
. x12o | 12 |  0 12 |  * 2

snubbed forms: x2s12o, s2s12o

x x6x

. . . | 24 |  1  1  1 | 1 1 1
------+----+----------+------
x . . |  2 | 12  *  * | 1 1 0
. x . |  2 |  * 12  * | 1 0 1
. . x |  2 |  *  * 12 | 1 1 0
------+----+----------+------
x x . |  4 |  2  2  0 | 6 * *
x . x |  4 |  2  0  2 | * 6 *
. x6x | 12 |  0  6  6 | * * 2

snubbed forms: x2s6s, s2s6s

xx12oo&#x   → height = 1
({12} || {12})

o.12o.    | 12  * |  2  1  0 | 1  2 0
.o12.o    |  * 12 |  0  1  2 | 0  2 1
----------+-------+----------+-------
x.  ..    |  2  0 | 12  *  * | 1  1 0
oo12oo&#x |  1  1 |  * 12  * | 0  2 0
.x  ..    |  0  2 |  *  * 12 | 0  1 1
----------+-------+----------+-------
x.12o.    | 12  0 | 12  0  0 | 1  * *
xx  ..&#x |  2  2 |  1  2  1 | * 12 *
.x12.o    |  0 12 |  0  0 12 | *  * 1

xx6xx&#x   → height = 1
({12} || {12})

o.6o.    | 12  * | 1 1  1 0 0 | 1 1 1 0
.o6.o    |  * 12 | 0 0  1 1 1 | 0 1 1 1
---------+-------+------------+--------
x. ..    |  2  0 | 6 *  * * * | 1 1 0 0
.. x.    |  2  0 | * 6  * * * | 1 0 1 0
oo6oo&#x |  1  1 | * * 12 * * | 0 1 1 0
.x ..    |  0  2 | * *  * 6 * | 0 1 0 1
.. .x    |  0  2 | * *  * * 6 | 0 0 1 1
---------+-------+------------+--------
x.6x.    | 12  0 | 6 6  0 0 0 | 1 * * *
xx ..&#x |  2  2 | 1 0  2 1 0 | * 6 * *
.. xx&#x |  2  2 | 0 1  2 0 1 | * * 6 *
.x6.x    |  0 12 | 0 0  0 6 6 | * * * 1

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