Acronym	dip (old: dep)
TOCID symbol	(10)P, t(5)P
Name	decagonal prism
	©
Circumradius	sqrt[7+2 sqrt(5)]/2 = 1.693527
Vertex figure	[42,10]
Volume	5 sqrt[5+2 sqrt(5)]/2 = 7.694209
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Dihedral angles	between {4} and {4}:   144° between {4} and {10}:   90°
Face vector	20, 30, 12
Confer	general prisms: n-p   2n-p   variations: f v10o   compounds: rassid   general polytopal classes: Wythoffian polyhedra   segmentohedra
External links

Incidence matrix according to Dynkin symbol

x x10o

. .  . | 20 |  1  2 |  2 1
-------+----+-------+-----
x .  . |  2 | 10  * |  2 0
. x  . |  2 |  * 20 |  1 1
-------+----+-------+-----
x x  . |  4 |  2  2 | 10 *
. x10o | 10 |  0 10 |  * 2

snubbed forms: x2s10o, s2s10o

x x5x

. . . | 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 *
. x5x | 10 |  0  5  5 | * * 2

snubbed forms: x2β5x, β2β5x, x2s5s, s2s5s

xx10oo&#x   → height = 1
([10} || {10})

o.10o.    | 10  * |  2  1  0 | 1  2 0
.o10.o    |  * 10 |  0  1  2 | 0  2 1
----------+-------+----------+-------
x.  ..    |  2  0 | 10  *  * | 1  1 0
oo10oo&#x |  1  1 |  * 10  * | 0  2 0
.x  ..    |  0  2 |  *  * 10 | 0  1 1
----------+-------+----------+-------
x.10o.    | 10  0 | 10  0  0 | 1  * *
xx  ..&#x |  2  2 |  1  2  1 | * 10 *
.x10.o    |  0 10 |  0  0 10 | *  * 1

xx5xx   → height = 1
([10} || {10})

o.5o.    | 10  * | 1 1  1 0 0 | 1 1 1 0
.o5.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
oo5oo&#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.5x.    | 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.x    |  0 10 | 0 0  0 5 5 | * * * 1