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Contents
1 Regular Hyperbolic Honeycombs
2 Rectified Hyperbolic Honeycombs
3 Uniform Hyperbolic Honeycombs - {3,5,3} family
4 Uniform Hyperbolic Honeycombs - {5,3,4} family
5 Uniform Hyperbolic Honeycombs - {5,3,5} family
6 Uniform Hyperbolic Honeycombs - [(4,3,3,3)] family
7 Uniform Hyperbolic Honeycombs - [(5,3,3,3)] family
8 Uniform Hyperbolic Honeycombs - [(4,3,4,3)] family
9 Uniform Hyperbolic Honeycombs - [(4,3,5,3)] family
10 Uniform Hyperbolic Honeycombs - [(5,3,5,3)] family
11 Uniform Hyperbolic Honeycombs - [5,3^{1,1} ] family
Regular Hyperbolic Honeycombs [ edit ]
Shown in the conformal (stereographic) model , with the camera placed either at the ball origin or on the boundary. Generated with custom C# code and POV-Ray.
{4,3,5}
{5,3,4}
{5,3,5}
{3,5,3}
{3,3,6}
{4,3,6}
{5,3,6}
{3,4,4}
{6,3,3}
{6,3,4}
{6,3,5}
{4,4,3}
{6,3,6}
{4,4,4}
{3,6,3}
Rectified Hyperbolic Honeycombs [ edit ]
r{4,3,5}
r{5,3,4}
r{5,3,5}
r{3,5,3}
r{3,3,6}
r{4,3,6}
r{5,3,6}
r{3,4,4}
r{6,3,3}
r{6,3,4}
r{6,3,5}
r{4,4,3}
r{6,3,6}
r{4,4,4} = {4,4,3}
r{3,6,3}
Uniform Hyperbolic Honeycombs - {3,5,3} family [ edit ]
{3,5,3}-0011
{3,5,3}-1010
{3,5,3}-1001
{3,5,3}-0110
{3,5,3}-1110
{3,5,3}-1101
{3,5,3}-1111
pd{3,5,3}
Uniform Hyperbolic Honeycombs - {5,3,4} family [ edit ]
{5,3,4}-0011
{5,3,4}-0110
{5,3,4}-0011
{5,3,4}-1010
{5,3,4}-0101
{5,3,4}-1001
{5,3,4}-1110
{5,3,4}-0111
{5,3,4}-1101
{5,3,4}-1011
{5,3,4}-1111
Uniform Hyperbolic Honeycombs - {5,3,5} family [ edit ]
{5,3,5}-0011
{5,3,5}-1010
{5,3,5}-1001
{5,3,5}-0110
{5,3,5}-1110
{5,3,5}-1101
{5,3,5}-1111
Uniform Hyperbolic Honeycombs - [(4,3,3,3)] family [ edit ]
[(4,3,3,3)]-0100
[(4,3,3,3)]-0010
[(4,3,3,3)]-0110
[(4,3,3,3)]-1100
[(4,3,3,3)]-0011
[(4,3,3,3)]-1010
[(4,3,3,3)]-1110
[(4,3,3,3)]-0111
[(4,3,3,3)]-1111
Uniform Hyperbolic Honeycombs - [(5,3,3,3)] family [ edit ]
[(5,3,3,3)]-1000
[(5,3,3,3)]-0010
[(5,3,3,3)]-0110
[(5,3,3,3)]-1100
[(5,3,3,3)]-0011
[(5,3,3,3)]-1010
[(5,3,3,3)]-1110
[(5,3,3,3)]-0111
[(5,3,3,3)]-1111
Uniform Hyperbolic Honeycombs - [(4,3,4,3)] family [ edit ]
[(4,3,4,3)]-1000
[(4,3,4,3)]-1110
[(4,3,4,3)]-0110
[(4,3,4,3)]-1100
[(4,3,4,3)]-1111
[(4,3,4,3)]-1010
Uniform Hyperbolic Honeycombs - [(4,3,5,3)] family [ edit ]
[(4,3,5,3)]-1000
[(4,3,5,3)]-0010
[(4,3,5,3)]-0111
[(4,3,5,3)]-1110
[(4,3,5,3)]-0110
[(4,3,5,3)]-0101
[(4,3,5,3)]-0011
[(4,3,5,3)]-1100
[(4,3,5,3)]-1111
Uniform Hyperbolic Honeycombs - [(5,3,5,3)] family [ edit ]
[(5,3,5,3)]-1000
[(5,3,5,3)]-0010
[(5,3,5,3)]-1101
[(5,3,5,3)]-0110
[(5,3,5,3)]-1111
[(5,3,5,3)]-1100
[(5,3,5,3)]-1010
Uniform Hyperbolic Honeycombs - [5,3^{1,1} ] family [ edit ]
[5,3^{1,1} ]-0110
[5,3^{1,1} ]-1010
[5,3^{1,1} ]-1110