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STERICATED 7-SIMPLEXES

• Stericated 7-simplexes

seven-dimensional geometry, a stericated 7-simplex is a convex uniform 7-polytope with 4th order truncations (sterication) of the regular 7-simplex. There are 14

Stericated 7-simplexes



Stericated_7-simplexes

• Stericated 8-simplexes

Class of eight-dimensional polytopes

In eight-dimensional geometry, a stericated 8-simplex is a convex uniform 8-polytope with 4th order truncations (sterication) of the regular 8-simplex

Stericated 8-simplexes



Stericated_8-simplexes

• Stericated 5-simplexes

Expanded 5-simplex Stericated hexateron Small cellated dodecateron (Acronym: scad) (Jonathan Bowers) The maximal cross-section of the stericated hexateron with

Stericated 5-simplexes



Stericated_5-simplexes

• Stericated 6-simplexes

In six-dimensional geometry, a stericated 6-simplex is a convex uniform 6-polytope with 4th order truncations (sterication) of the regular 6-simplex. There

Stericated 6-simplexes



Stericated_6-simplexes

• Pentellated 6-simplexes

Uniform 6-polytope

hyperplane is a stericated hexateron. This cross-section divides the pentellated 6-simplex into two hexateral hypercupolas consisting of 7 5-simplexes, 21 5-cell

Pentellated 6-simplexes



Pentellated_6-simplexes

• Uniform 7-polytope

Seven-dimensional geometric object

convex regular 7-polytopes: {3,3,3,3,3,3} - 7-simplex {4,3,3,3,3,3} - 7-cube {3,3,3,3,3,4} - 7-orthoplex There are no nonconvex regular 7-polytopes. The

Uniform 7-polytope



Uniform_7-polytope

• Stericated 6-orthoplexes

64 snub 5-simplexes, 60 snub 24-cell antiprisms, 160 3-s{3,4} duoantiprisms, 240 2-sr{3,3} duoantiprisms, and 11520 irregular 5-simplexes filling the

Stericated 6-orthoplexes



Stericated_6-orthoplexes

• 5-simplex honeycomb

pentacomb). Each vertex is shared by 12 5-simplexes, 30 rectified 5-simplexes, and 20 birectified 5-simplexes. These facet types occur in proportions of

5-simplex honeycomb

5-simplex_honeycomb

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STERICATED 7-SIMPLEXES

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