More information =
...
Regular and Quasiregular honeycombs: {p,3,4} and {p,31,1} |
Space |
Euclidean 4-space |
Euclidean 3-space |
Hyperbolic 3-space |
Name |
{3,3,4} {3,31,1} = ![{\displaystyle \left\{3,{3 \atop 3}\right\}}](//wikimedia.org/api/rest_v1/media/math/render/svg/1b0b2b012f8c0e429469e660668aa43b8ddefd20) |
{4,3,4} {4,31,1} = ![{\displaystyle \left\{4,{3 \atop 3}\right\}}](//wikimedia.org/api/rest_v1/media/math/render/svg/1723da4adc6c4e2f53d8c1546027673002fc1ff4) |
{5,3,4} {5,31,1} = ![{\displaystyle \left\{5,{3 \atop 3}\right\}}](//wikimedia.org/api/rest_v1/media/math/render/svg/8600c6068a774e7194013eb0306c23960478a8d4) |
{6,3,4} {6,31,1} = ![{\displaystyle \left\{6,{3 \atop 3}\right\}}](//wikimedia.org/api/rest_v1/media/math/render/svg/f02b6afa818d4b3bb4e72dc2cd68c8bfbe3855ce) |
Coxeter diagram |
![](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png) = ![](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/a/a1/CDel_split1.png) ![](//upload.wikimedia.org/wikipedia/commons/1/1f/CDel_nodes.png) |
![](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![](//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png) = ![](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![](//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/a/a1/CDel_split1.png) ![](//upload.wikimedia.org/wikipedia/commons/1/1f/CDel_nodes.png) |
![](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_5.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png) = ![](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_5.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/a/a1/CDel_split1.png) ![](//upload.wikimedia.org/wikipedia/commons/1/1f/CDel_nodes.png) |
![](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png) = ![](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/a/a1/CDel_split1.png) ![](//upload.wikimedia.org/wikipedia/commons/1/1f/CDel_nodes.png) |
Image |
![](//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/16-cell_nets.png/80px-16-cell_nets.png) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/Bicolor_cubic_honeycomb.png/80px-Bicolor_cubic_honeycomb.png) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/0/09/H3_534_CC_center.png/80px-H3_534_CC_center.png) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/H3_634_FC_boundary.png/100px-H3_634_FC_boundary.png) |
Cells {p,3} |
![](//upload.wikimedia.org/wikipedia/commons/thumb/b/b8/Uniform_polyhedron-33-t0.png/80px-Uniform_polyhedron-33-t0.png)
![](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/4/48/Uniform_polyhedron-43-t0.png/80px-Uniform_polyhedron-43-t0.png)
![](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![](//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/c/c0/Uniform_polyhedron-53-t0.png/80px-Uniform_polyhedron-53-t0.png)
![](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_5.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/8/81/Uniform_polyhedron-63-t0.png/80px-Uniform_polyhedron-63-t0.png)
![](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) |
Close