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Order-7 dodecahedral honeycomb
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<table><tbody><tr><th colspan="2">Order-7 dodecahedral honeycomb</th></tr><tr><td>Type</td><td><a href="/facts/List_of_regular_polytopes/Kng25Ymq">Regular honeycomb</a></td></tr><tr><td><a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbols</a></td><td>{5,3,7}</td></tr><tr><td><a href="/facts/Coxeter_diagram/Ik6LmXJB">Coxeter diagrams</a></td><td></td></tr><tr><td>Cells</td><td><a href="/facts/Dodecahedron/7r519eCl">{5,3}</a> </td></tr><tr><td>Faces</td><td><a href="/facts/Pentagon/xoq5oJeQ">{5}</a></td></tr><tr><td>Edge figure</td><td><a href="/facts/Heptagon/b0qIVNhY">{7}</a></td></tr><tr><td>Vertex figure</td><td><a href="/facts/Order-7_triangular_tiling/bF5pkIRd">{3,7}</a></td></tr><tr><td>Dual</td><td><a href="/facts/Order-5_heptagonal_tiling_honeycomb/z4sSkLD3">{7,3,5}</a></td></tr><tr><td><a href="/facts/Coxeter-Dynkin_diagram/Ik6LmXJB">Coxeter group</a></td><td>[5,3,7]</td></tr><tr><td>Properties</td><td>Regular</td></tr></tbody></table> <p>In the <a href="/facts/Geometry/wTQf5ffQ">geometry</a> of <a href="/facts/Hyperbolic_space/kI7tnwdk">hyperbolic 3-space</a>, the order-7 dodecahedral honeycomb is a regular space-filling <a href="/facts/Tessellation/7BWDywXC">tessellation</a> (or <a href="/facts/Honeycomb_(geometry)/seyRBcel">honeycomb</a>). </p>