Order-5 hexagonal tiling honeycomb
In the field of hyperbolic geometry, the order-5 hexagonal tiling honeycomb arises one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space. It is called paracompact because it has infinite cells. Each cell consists of a hexagonal tiling whose vertices lie on a horosphere: a flat plane in hyperbolic space that approaches a single ideal point at infinity. A geometric honeycomb is a space-filling of polyhedral or higher-dimensional cells, so that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions.
Alternated order-5 hexagonal tiling honeycombBitruncated order-5 hexagonal tiling honeycombCantellated order-5 hexagonal tiling honeycombCantic order-5 hexagonal tiling honeycombCantitruncated order-5 hexagonal tiling honeycombOmnitruncated order-5 hexagonal tiling honeycombRectified order-5 hexagonal tiling honeycombRuncic order-5 hexagonal tiling honeycombRuncicantic order-5 hexagonal tiling honeycombRuncinated order-5 hexagonal tiling honeycombTruncated order-5 hexagonal tiling honeycomb
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Order-5 hexagonal tiling honeycomb
In the field of hyperbolic geometry, the order-5 hexagonal tiling honeycomb arises one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space. It is called paracompact because it has infinite cells. Each cell consists of a hexagonal tiling whose vertices lie on a horosphere: a flat plane in hyperbolic space that approaches a single ideal point at infinity. A geometric honeycomb is a space-filling of polyhedral or higher-dimensional cells, so that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions.
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In the field of hyperbolic geo ...... honeycomb in spherical space.
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In the field of hyperbolic geo ...... n in any number of dimensions.
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Order-5 hexagonal tiling honeycomb
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