Acronym stiddip
TOCID symbol (10/3)P
Name stellated decagonal prism,
10/3-prism,
10-prism with winding number 3
Circumradius sqrt[7-2 sqrt(5)]/2 = 0.794963
Vertex figure [42,10/3]
General of army f v10o
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between {4} and {10/3}:   90°
  • between {4} and {4}:   72°
Confer
general prisms:
n/d-p  
compounds:
grassid  
general polytopal classes:
segmentohedra  

Incidence matrix according to Dynkin symbol

x x10/3o

. .    . | 20 |  1  2 |  2 1
---------+----+-------+-----
x .    . |  2 | 10  * |  2 0
. x    . |  2 |  * 20 |  1 1
---------+----+-------+-----
x x    . |  4 |  2  2 | 10 *
. x10/3o | 10 |  0 10 |  * 2

x x5/3x

. .   . | 20 |  1  1  1 | 1 1 1
--------+----+----------+------
x .   . |  2 | 10  *  * | 1 1 0
. x   . |  2 |  * 10  * | 1 0 1
. .   x |  2 |  *  * 10 | 0 1 1
--------+----+----------+------
x x   . |  4 |  2  2  0 | 5 * *
x .   x |  4 |  2  0  2 | * 5 *
. x5/3x | 10 |  0  5  5 | * * 2

snubbed forms: s2s5/3s

xx10/3oo&#x   → height = 1
({10/3} || {10/3})

o.10/3o.    | 10  * |  2  1  0 | 1  2 0
.o10/3.o    |  * 10 |  0  1  2 | 0  2 1
------------+-------+----------+-------
x.    ..    |  2  0 | 10  *  * | 1  1 0
oo10/3oo&#x |  1  1 |  * 10  * | 0  2 0
.x    ..    |  0  2 |  *  * 10 | 0  1 1
------------+-------+----------+-------
x.10/3o.    | 10  0 | 10  0  0 | 1  * *
xx    ..&#x |  2  2 |  1  2  1 | * 10 *
.x10/3.o    |  0 10 |  0  0 10 | *  * 1

xx5/3xx&#x   → height = 1
({10/3} || {10/3})

o.5/3o.    | 10  * | 1 1  1 0 0 | 1 1 1 0
.o5/3.o    |  * 10 | 0 0  1 1 1 | 0 1 1 1
-----------+-------+------------+--------
x.   ..    |  2  0 | 5 *  * * * | 1 1 0 0
..   x.    |  2  0 | * 5  * * * | 1 0 1 0
oo5/3oo&#x |  1  1 | * * 10 * * | 0 1 1 0
.x   ..    |  0  2 | * *  * 5 * | 0 1 0 1
..   .x    |  0  2 | * *  * * 5 | 0 0 1 1
-----------+-------+------------+--------
x.5/3x.    | 10  0 | 5 5  0 0 0 | 1 * * *
xx   ..&#x |  2  2 | 1 0  2 1 0 | * 5 * *
..   xx&#x |  2  2 | 0 1  2 0 1 | * * 5 *
.x5/3.x    |  0 10 | 0 0  0 5 5 | * * * 1

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