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From Wikipedia, the free encyclopedia

Johnson solid honeycomb means Convex honeycombs covered with regular Voronoi polygons excluding convex uniform honeycombs.
They are composed of one of Johnson solid at least.
Above all, the combination of Bilunabirotunda, cube and dodecahedron is an only pattern that have regular pentagonal Voronoi polygon.


List of Johnson solid honeycomb[1]
Platon
solid
P Archimedean
solid
Johnson
solid
J J J Voronoi
polygon
J26
Gyrobifastigium
(Digonal gyrobicupola)

(3,4)
J1
Square pyramid

J3
Triangular cupola

(3,4,6)
J1
Square pyramid

J27
Triangular orthobicupola

(3,4)
Tetrahedron

J1
Square pyramid

(3,4)
Tetrahedron

J4
Square cupola

(3,4,8)
Tetrahedron

J8
Elongated square pyramid

(3,4)
Tetrahedron

J15
Elongated square bipyramid

(3,4)
Tetrahedron

J28
Square orthobicupola

(3,4)
Octahedron

J3
Triangular cupola

(3,4,6)
Octahedron

J7
Elongated triangular pyramid

(3,4)
Octahedron

J12
Triangular bipyramid

(3)
Truncated tetrahedron

J12
Triangular bipyramid

(3,6)
Truncated hexahedron

J1
Square pyramid

(3,4,8)
Cuboctahedron

J1
Square pyramid

(3,4)
Tetrahedron

J1
Square pyramid

J4
Square cupola

(3,4,8)
Tetrahedron

J1
Square pyramid

J18
Elongated triangular cupola

(3,4,6)
Tetrahedron

J1
Square pyramid

J35
Elongated triangular orthobicupola

(3,4)
Tetrahedron

J1
Square pyramid

J36
Elongated triangular gyrobicupola

(3,4)
Tetrahedron

J28
Square orthobicupola

J29
Square gyrobicupola

(3,4)
Cube

J1
Square pyramid

J3
Triangular cupola

(3,4,6)
Cube

Dodecahedron

J91
Bilunabirotunda

(3,4,5)
Cube

Cuboctahedron

J4
Square cupola

(3,4,8)
Cube

Cuboctahedron

J19
Elongated square cupola

(3,4,8)
J1
Square pyramid

J7
Elongated triangular pyramid

J14
Elongated triangular bipyramid

J26
Gyrobifastigium
(Digonal gyrobicupola)

(3,4)
Tetrahedron

Cube

Cuboctahedron

J37
Elongated square gyrobicupola

(3,4)