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Triheptagonal tiling
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<table><tbody><tr><th colspan="2">Triheptagonal tiling</th></tr><tr><td colspan="2"><a href="/facts/Poincar%25C3%25A9_disk_model/6nCWjbRL">Poincaré disk model</a> of the <a href="/facts/Hyperbolic_geometry/DjTMKdgy">hyperbolic plane</a></td></tr><tr><td>Type</td><td><a href="/facts/Uniform_tilings_in_hyperbolic_plane/khwIB6I1">Hyperbolic uniform tiling</a></td></tr><tr><td><a href="/facts/Vertex_configuration/wWaBS6t0">Vertex configuration</a></td><td>(3.7)2</td></tr><tr><td><a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbol</a></td><td>r{7,3} or { 7 3 } {\displaystyle {\begin{Bmatrix}7\\3\end{Bmatrix}}} </td></tr><tr><td><a href="/facts/Wythoff_symbol/ECD0Wl5x">Wythoff symbol</a></td><td>2 | 7 3</td></tr><tr><td><a href="/facts/Coxeter%25E2%2580%2593Dynkin_diagram/Ik6LmXJB">Coxeter diagram</a></td><td> or </td></tr><tr><td><a href="/facts/Coxeter%25E2%2580%2593Dynkin_diagram/Ik6LmXJB">Symmetry group</a></td><td>[7,3], (*732)</td></tr><tr><td><a href="/facts/Dual_polyhedron/rkIHbmAf">Dual</a></td><td><a href="/facts/Order-7-3_rhombille_tiling/Is89Gv5q">Order-7-3 rhombille tiling</a></td></tr><tr><td>Properties</td><td><a href="/facts/Vertex-transitive/5nC8PdBm">Vertex-transitive</a> <a href="/facts/Edge-transitive/p5j7GhwX">edge-transitive</a></td></tr></tbody></table> <p>In <a href="/facts/Geometry/wTQf5ffQ">geometry</a>, the triheptagonal tiling is a semiregular tiling of the hyperbolic plane, representing a <a href="/facts/Rectification_(geometry)/PkoUdq53">rectified</a> <a href="/facts/Order-3_heptagonal_tiling/aKhMKTMx">Order-3 heptagonal tiling</a>. There are two <a href="/facts/Triangle/cRXUwsMn">triangles</a> and two <a href="/facts/Heptagon/b0qIVNhY">heptagons</a> alternating on each <a href="/facts/Vertex_(geometry)/ID3cea9z">vertex</a>. It has <a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbol</a> of r{7,3}. </p><p>Compare to <a href="/facts/Trihexagonal_tiling/spAKhDvd">trihexagonal tiling</a> with <a href="/facts/Vertex_configuration/wWaBS6t0">vertex configuration</a> <i>3.6.3.6</i>. </p>