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Order-3-7 heptagonal honeycomb
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<table><tbody><tr><th colspan="2">Order-3-7 heptagonal 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%C3%A4fli_symbol/jNQR77UU">Schläfli symbol</a></td><td>{7,3,7}</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/Heptagonal_tiling/aKhMKTMx">{7,3}</a> </td></tr><tr><td>Faces</td><td><a href="/facts/Heptagon/b0qIVNhY">{7}</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>self-dual</td></tr><tr><td><a href="/facts/Coxeter-Dynkin_diagram/Ik6LmXJB">Coxeter group</a></td><td>[7,3,7]</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-3-7 heptagonal honeycomb a regular space-filling <a href="/facts/Tessellation/7BWDywXC">tessellation</a> (or <a href="/facts/Honeycomb_(geometry)/seyRBcel">honeycomb</a>) with <a href="/facts/Schl%C3%A4fli_symbol/jNQR77UU">Schläfli symbol</a> {7,3,7}. </p>