Snub order-8 triangular tiling

<h2 id="images">Images</h2>
<p>Drawn in chiral pairs:
</p>

<h2 id="symmetry">Symmetry</h2>
<p>The <a href="/facts/Alternation_(geometry)/H2nVs4xj">alternated</a> construction from the <a href="/facts/Truncated_order-8_triangular_tiling/5pEnULQ3">truncated order-8 triangular tiling</a> has 2 colors of triangles and achiral symmetry. It has <a href="/facts/Schl%C3%A4fli_symbol/jNQR77UU">Schläfli symbol</a> of s{3,8}.
</p>

<h2 id="related-polyhedra-and-tiling">Related polyhedra and tiling</h2>
<a href="/facts/Uniform_tilings_in_hyperbolic_plane/khwIB6I1">Uniform (4,3,3) tilings</a><ul><li>v</li><li>t</li><li>e</li></ul><table> <tbody><tr><th colspan="7">Symmetry: [(4,3,3)], <a href="/facts/433_symmetry/5pEnULQ3">(*433)</a></th><th>[(4,3,3)]+, (433)</th></tr><tr><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th></tr><tr><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th></tr><tr><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td><a href="/facts/Alternated_octagonal_tiling/xJkVW7LG">h{8,3}</a>t0(4,3,3)</td><td><a href="/facts/Trioctagonal_tiling/VlLfBMbl">r{3,8}1/2</a>t0,1(4,3,3)</td><td><a href="/facts/Alternated_octagonal_tiling/xJkVW7LG">h{8,3}</a>t1(4,3,3)</td><td><a href="/facts/Cantic_octagonal_tiling/ESH3gujs">h2{8,3}</a>t1,2(4,3,3)</td><td><a href="/facts/Order-8_triangular_tiling/feag8eNn">{3,8}1/2</a>t2(4,3,3)</td><td><a href="/facts/Cantic_octagonal_tiling/ESH3gujs">h2{8,3}</a>t0,2(4,3,3)</td><td><a href="/facts/Truncated_order-8_triangular_tiling/5pEnULQ3">t{3,8}1/2</a>t0,1,2(4,3,3)</td><td>s{3,8}1/2s(4,3,3)</td></tr><tr><th colspan="11">Uniform duals</th></tr><tr><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>V(3.4)3</td><td>V3.8.3.8</td><td>V(3.4)3</td><td>V3.6.4.6</td><td><a href="/facts/Octagonal_tiling/Fjj2z6ED">V(3.3)4</a></td><td>V3.6.4.6</td><td>V6.6.8</td><td>V3.3.3.3.3.4</td></tr></tbody></table>
<table><tbody><tr><th colspan="11">Uniform octagonal/triangular tilings <ul><li>v</li><li>t</li><li>e</li></ul></th></tr><tr><th colspan="7">Symmetry: <a href="/facts/832_symmetry/jgtEuHdg">[8,3], (*832)</a></th><th>[8,3]+(832)</th><th colspan="2">[1+,8,3](*443)</th><th>[8,3+](3*4)</th></tr><tr><th><a href="/facts/Octagonal_tiling/Fjj2z6ED">{8,3}</a></th><th><a href="/facts/Truncated_octagonal_tiling/wxTpyggX">t{8,3}</a></th><th><a href="/facts/Trioctagonal_tiling/VlLfBMbl">r{8,3}</a></th><th><a href="/facts/Truncated_order-8_triangular_tiling/5pEnULQ3">t{3,8}</a></th><th><a href="/facts/Order-8_triangular_tiling/feag8eNn">{3,8}</a></th><th><a href="/facts/Rhombitrioctagonal_tiling/xULl9VnV">rr{8,3}</a>s2{3,8}</th><th><a href="/facts/Truncated_trioctagonal_tiling/jgtEuHdg">tr{8,3}</a></th><th><a href="/facts/Snub_trioctagonal_tiling/JS0sr8SM">sr{8,3}</a></th><th><a href="/facts/Alternated_octagonal_tiling/xJkVW7LG">h{8,3}</a></th><th><a href="/facts/Cantic_octagonal_tiling/ESH3gujs">h2{8,3}</a></th><th>s{3,8}</th></tr><tr><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td> or </td><td> or </td><td></td></tr><tr><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th colspan="14">Uniform duals</th></tr><tr><td><a href="/facts/Order-8_triangular_tiling/feag8eNn">V83</a></td><td>V3.16.16</td><td>V3.8.3.8</td><td>V6.6.8</td><td><a href="/facts/Octagonal_tiling/Fjj2z6ED">V38</a></td><td>V3.4.8.4</td><td><a href="/facts/Order_3-8_kisrhombille/jgtEuHdg">V4.6.16</a></td><td>V34.8</td><td>V(3.4)3</td><td>V8.6.6</td><td>V35.4</td></tr><tr><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th></tr><tr><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr></tbody></table>

<ul><li><a href="/facts/John_Horton_Conway/g3PA1zoK">John H. Conway</a>, Heidi Burgiel, Chaim Goodman-Strauss, <i>The Symmetries of Things</i> 2008, <a href="/facts/ISBN_(identifier)/15AdSPa9">ISBN</a> 978-1-56881-220-5 (Chapter 19, The Hyperbolic Archimedean Tessellations)</li>
<li>"Chapter 10: Regular honeycombs in hyperbolic space". <i>The Beauty of Geometry: Twelve Essays</i>. Dover Publications. 1999. <a href="/facts/ISBN_(identifier)/15AdSPa9">ISBN</a> 0-486-40919-8. <a href="/facts/LCCN_(identifier)/5hb5Cw2V">LCCN</a> <a href="https://lccn.loc.gov/99035678">99035678</a>.</li></ul>
<h2 id="see-also">See also</h2>

Wikimedia Commons has media related to Uniform tiling 3-3-3-3-3-4.

<ul><li><a href="/facts/Square_tiling/3ym86mvv">Square tiling</a></li>
<li><a href="/facts/Uniform_tilings_in_hyperbolic_plane/khwIB6I1">Uniform tilings in hyperbolic plane</a></li>
<li><a href="/facts/List_of_regular_polytopes/Kng25Ymq">List of regular polytopes</a></li></ul>
<h2 id="external-links">External links</h2>
<ul><li><a href="/facts/Eric_W._Weisstein/FbMuVDep">Weisstein, Eric W.</a> <a href="https://mathworld.wolfram.com/HyperbolicTiling.html">"Hyperbolic tiling"</a>. <i><a href="/facts/MathWorld/yc1jodbq">MathWorld</a></i>.</li>
<li><a href="/facts/Eric_W._Weisstein/FbMuVDep">Weisstein, Eric W.</a> <a href="https://mathworld.wolfram.com/PoincareHyperbolicDisk.html">"Poincaré hyperbolic disk"</a>. <i><a href="/facts/MathWorld/yc1jodbq">MathWorld</a></i>.</li>
<li><a href="http://bork.hampshire.edu/~bernie/hyper/">Hyperbolic and Spherical Tiling Gallery</a></li>
<li><a href="http://geometrygames.org/KaleidoTile/index.html">KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings</a></li>
<li><a href="http://www.plunk.org/~hatch/HyperbolicTesselations">Hyperbolic Planar Tessellations, Don Hatch</a></li></ul>

Snub order-8 triangular tiling open-in-new

Snub order-8 triangular tiling