Truncated order-7 triangular tiling

<table><tbody><tr><th colspan="2">Truncated order-7 triangular 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>7.6.6</td></tr><tr><td><a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbol</a></td><td>t{3,7}</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></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/Heptakis_heptagonal_tiling/X73vov29">Heptakis heptagonal tiling</a></td></tr><tr><td>Properties</td><td><a href="/facts/Vertex-transitive/5nC8PdBm">Vertex-transitive</a></td></tr></tbody></table>
<p>In <a href="/facts/Geometry/wTQf5ffQ">geometry</a>, the order-7 truncated triangular tiling, sometimes called the hyperbolic soccerball, is a semiregular tiling of the hyperbolic plane. There are two <a href="/facts/Hexagon/DPzuCzWE">hexagons</a> and one <a href="/facts/Heptagon/b0qIVNhY">heptagon</a> on each <a href="/facts/Vertex_(geometry)/ID3cea9z">vertex</a>, forming a pattern similar to a conventional <a href="/facts/Association_football_ball/SC2f6csg">soccer ball</a> (<a href="/facts/Truncated_icosahedron/LR8ugaY9">truncated icosahedron</a>) with heptagons in place of <a href="/facts/Pentagon/jeHEARHH">pentagons</a>. It has <a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbol</a> of t{3,7}.
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Truncated order-7 triangular tiling open-in-new

Truncated order-7 triangular tiling