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Rhombitrihexagonal tiling
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<table><tbody><tr><th colspan="2">Rhombitrihexagonal 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>3.4.6.4</td></tr><tr><td><a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbol</a></td><td>rr{6,3} or r { 6 3 } {\displaystyle r{\begin{Bmatrix}6\\3\end{Bmatrix}}} </td></tr><tr><td><a href="/facts/Wythoff_symbol/ECD0Wl5x">Wythoff symbol</a></td><td>3 | 6 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/632_symmetry/egxEaC8q">p6m</a>, [6,3], (*632)</td></tr><tr><td>Rotation symmetry</td><td><a href="/facts/632_symmetry/egxEaC8q">p6</a>, [6,3]+, (632)</td></tr><tr><td>Bowers acronym</td><td>Rothat</td></tr><tr><td><a href="/facts/Dual_polyhedron/rkIHbmAf">Dual</a></td><td><a href="/facts/Deltoidal_trihexagonal_tiling/RJPMacIY">Deltoidal trihexagonal 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 rhombitrihexagonal tiling is a semiregular tiling of the <a href="/facts/Euclidean_plane/tAUtRFcn">Euclidean plane</a>. There are one <a href="/facts/Triangle/cRXUwsMn">triangle</a>, two <a href="/facts/Square_(geometry)/JHJeMvmL">squares</a>, and one <a href="/facts/Hexagon/DPzuCzWE">hexagon</a> on each <a href="/facts/Vertex_(geometry)/ID3cea9z">vertex</a>. It has <a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbol</a> of rr{3,6}. </p><p><a href="/facts/John_Horton_Conway/g3PA1zoK">John Conway</a> calls it a rhombihexadeltille. It can be considered a <a href="/facts/Cantellation/kS24Tde3">cantellated</a> by <a href="/facts/Norman_Johnson_(mathematician)/bQtL9w56">Norman Johnson's</a> terminology or an <a href="/facts/Expansion_(geometry)/eMpoRlnm">expanded</a> <a href="/facts/Hexagonal_tiling/HwG5F0YH">hexagonal tiling</a> by <a href="/facts/Alicia_Boole_Stott/FoqXBA5T">Alicia Boole Stott</a>'s operational language. </p><p>There are three <a href="/facts/List_of_regular_polytopes/Kng25Ymq">regular</a> and eight <a href="/facts/List_of_uniform_tilings/c1ALUDMm">semiregular tilings</a> in the plane. </p>