Acronym	auhip, J54
Name	augmented hexagonal prism
	© ©
Vertex figure	[34], [32,4,6], [42,6]
Volume	[sqrt(2)+9 sqrt(3)]/6 = 2.833778
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Face vector	13, 22, 11
Confer	uniform relative: hip   blend-component: squippy   hip   related Johnson solids: squippy   pabauhip   mabauhip   tauhip   general polytopal classes: Johnson solids
External links

Incidence matrix according to Dynkin symbol

oxxx oxux&#xt   → height(1,2) = 1/sqrt(2) = 0.707107
                  height(2,3) = height(3,4) = sqrt(3)/2 = 0.866025
(pt || pseudo {4} || pseudo (x,u)-{4} || {4})

o... o...     | 1 * * * | 4 0 0 0 0 0 0 0 | 2 2 0 0 0 0
.o.. .o..     | * 4 * * | 1 1 1 1 0 0 0 0 | 1 1 1 1 0 0
..o. ..o.     | * * 4 * | 0 0 0 1 1 1 0 0 | 0 0 1 1 1 0
...o ...o     | * * * 4 | 0 0 0 0 0 1 1 1 | 0 0 0 1 1 1
--------------+---------+-----------------+------------
oo.. oo..&#x  | 1 1 0 0 | 4 * * * * * * * | 1 1 0 0 0 0
.x.. ....     | 0 2 0 0 | * 2 * * * * * * | 1 0 1 0 0 0
.... .x..     | 0 2 0 0 | * * 2 * * * * * | 0 1 0 1 0 0
.oo. .oo.&#x  | 0 1 1 0 | * * * 4 * * * * | 0 0 1 1 0 0
..x. ....     | 0 0 2 0 | * * * * 2 * * * | 0 0 1 0 1 0
..oo ..oo&#x  | 0 0 1 1 | * * * * * 4 * * | 0 0 0 1 1 0
...x ....     | 0 0 0 2 | * * * * * * 2 * | 0 0 0 0 1 1
.... ...x     | 0 0 0 2 | * * * * * * * 2 | 0 0 0 1 0 1
--------------+---------+-----------------+------------
ox.. ....&#x  | 1 2 0 0 | 2 1 0 0 0 0 0 0 | 2 * * * * *
.... ox..&#x  | 1 2 0 0 | 2 0 1 0 0 0 0 0 | * 2 * * * *
.xx. ....&#x  | 0 2 2 0 | 0 1 0 2 1 0 0 0 | * * 2 * * *
.... .xux&#xt | 0 2 2 2 | 0 0 1 2 0 2 0 1 | * * * 2 * *
..xx ....&#x  | 0 0 2 2 | 0 0 0 0 1 2 1 0 | * * * * 2 *
...x ...x     | 0 0 0 4 | 0 0 0 0 0 0 2 2 | * * * * * 1