Acronym tauhip, J57
Name triaugmented hexagonal prism
 
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Vertex figure [34], [32,4,6]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between {3} and {4}:   arccos[-(1+sqrt(6))/sqrt(12)] = 174.735610°
  • between {3} and {6}:   arccos[-sqrt(2/3)] = 144.735610°
  • between {3} and {3}:   arccos(-1/3) = 109.471221°
  • between {4} and {6}:   90°
Confer
uniform relative:
hip  
blend-component:
squippy   hip  
related Johnson solids:
squippy   auhip   pabauhip   tauhip  
general polytopal classes:
Johnson solids   bistratic lace towers  
External
links
wikipedia   mathworld   quickfur  

Incidence matrix according to Dynkin symbol

xo3xA xo&#zx   → height = 0
                 where A = (3+sqrt(6))/2 = 2.724745
(tegum sum of hip and A-{3})

o.3o. o.    | 12 * | 1 1 1  1 | 1 1 1 1
.o3.o .o    |  * 3 | 0 0 0  4 | 0 0 2 2
------------+------+----------+--------
x. .. ..    |  2 0 | 6 * *  * | 1 0 1 0
.. x. ..    |  2 0 | * 6 *  * | 1 1 0 0
.. .. x.    |  2 0 | * * 6  * | 0 1 0 1
oo3oo oo&#x |  1 1 | * * * 12 | 0 0 1 1
------------+------+----------+--------
x.3x. ..    |  6 0 | 3 3 0  0 | 2 * * *
x. .. x.    |  4 0 | 0 2 2  0 | * 3 * *
xo .. ..&#x |  2 1 | 1 0 0  2 | * * 6 *
.. .. xo&#x |  2 1 | 0 0 1  2 | * * * 6

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