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Elongated triangular tiling
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<table><tbody><tr><th colspan="2">Elongated triangular tiling</th></tr><tr><td colspan="2"></td></tr><tr><td>Type</td><td><a href="/facts/List_of_uniform_tilings/c1ALUDMm">Semiregular tiling</a></td></tr><tr><td><a href="/facts/Vertex_configuration/wWaBS6t0">Vertex configuration</a></td><td>3.3.3.4.4</td></tr><tr><td><a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbol</a></td><td>{3,6}:<a href="/facts/Elongation_(geometry)/8SR7CyNz">e</a>s{∞}h1{∞}</td></tr><tr><td><a href="/facts/Wythoff_symbol/ECD0Wl5x">Wythoff symbol</a></td><td>2 | 2 (2 2)</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/List_of_planar_symmetry_groups/3buKYIft">Symmetry</a></td><td><a href="/facts/Wallpaper_group/egxEaC8q">cmm</a>, [∞,2+,∞], (2*22)</td></tr><tr><td>Rotation symmetry</td><td><a href="/facts/Wallpaper_group/egxEaC8q">p2</a>, [∞,2,∞]+, (2222)</td></tr><tr><td>Bowers acronym</td><td>Etrat</td></tr><tr><td><a href="/facts/Dual_polyhedron/rkIHbmAf">Dual</a></td><td><a href="/facts/Prismatic_pentagonal_tiling/mH6cUVHj">Prismatic pentagonal 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 elongated triangular tiling is a <a href="/facts/Tiling_by_regular_polygons/tR5CQACy">semiregular tiling</a> of the Euclidean plane. There are three triangles and two squares on each <a href="/facts/Vertex_(geometry)/ID3cea9z">vertex</a>. It is named as a <a href="/facts/Triangular_tiling/Jx8f8Krh">triangular tiling</a> <a href="/facts/Elongation_(geometry)/8SR7CyNz">elongated</a> by rows of squares, and given <a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbol</a> {3,6}:e. </p><p><a href="/facts/John_Horton_Conway/g3PA1zoK">Conway</a> calls it a isosnub quadrille. </p><p>There are 3 <a href="/facts/List_of_regular_polytopes/Kng25Ymq">regular</a> and 8 <a href="/facts/List_of_uniform_tilings/c1ALUDMm">semiregular tilings</a> in the plane. This tiling is similar to the <a href="/facts/Snub_square_tiling/hNu3KtEA">snub square tiling</a> which also has 3 triangles and two squares on a vertex, but in a different order. </p>