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Apeirogonal hosohedron
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<table><tbody><tr><th colspan="2">Apeirogonal hosohedron</th></tr><tr><td colspan="2"></td></tr><tr><td>Type</td><td><a href="/facts/List_of_uniform_tilings/c1ALUDMm">Regular tiling</a></td></tr><tr><td><a href="/facts/Vertex_configuration/wWaBS6t0">Vertex configuration</a></td><td>2∞[[File:|40px]]</td></tr><tr><td><a href="/facts/Face_configuration/wWaBS6t0">Face configuration</a></td><td>V∞2</td></tr><tr><td><a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbol(s)</a></td><td>{2,∞}</td></tr><tr><td><a href="/facts/Wythoff_symbol/ECD0Wl5x">Wythoff symbol(s)</a></td><td>∞ | 2 2</td></tr><tr><td><a href="/facts/Coxeter%25E2%2580%2593Dynkin_diagram/Ik6LmXJB">Coxeter diagram(s)</a></td><td></td></tr><tr><td><a href="/facts/List_of_planar_symmetry_groups/3buKYIft">Symmetry</a></td><td>[∞,2], (*∞22)</td></tr><tr><td>Rotation symmetry</td><td>[∞,2]+, (∞22)</td></tr><tr><td><a href="/facts/Dual_polyhedron/rkIHbmAf">Dual</a></td><td><a href="/facts/Order-2_apeirogonal_tiling/LpbWIQN9">Order-2 apeirogonal 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>, <a href="/facts/Face-transitive/ukLVQlK2">face-transitive</a></td></tr><tr><td colspan="2"></td></tr></tbody></table> <p>In <a href="/facts/Geometry/wTQf5ffQ">geometry</a>, an apeirogonal hosohedron or infinite hosohedron is a tiling of the <a href="/facts/Plane_(geometry)/tAUtRFcn">plane</a> consisting of two <a href="/facts/Point_at_infinity/GAuS0wHQ">vertices at infinity</a>. It may be considered an improper <a href="/facts/Regular_tiling/tR5CQACy">regular tiling</a> of the <a href="/facts/Euclidean_geometry/V6cTcoCy">Euclidean</a> plane, with <a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbol</a> {2,∞}. </p>