Triangular prismatic honeycomb

<table><tbody><tr><th colspan="2">Triangular prismatic honeycomb</th></tr><tr><td colspan="2"></td></tr><tr><td>Type</td><td><a href="/facts/Convex_uniform_honeycomb/78IkTl7A">Uniform honeycomb</a></td></tr><tr><td><a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbol</a></td><td>{3,6}×{∞} or t0,3{3,6,2,∞}</td></tr><tr><td><a href="/facts/Coxeter_diagram/Ik6LmXJB">Coxeter diagrams</a></td><td></td></tr><tr><td><a href="/facts/Space_group/2XQx0J7M">Space group</a><a href="/facts/Coxeter_notation/ArUw6goe">Coxeter notation</a></td><td>[6,3,2,∞][3[3],2,∞][(3[3])+,2,∞]</td></tr><tr><td>Dual</td><td><a href="/facts/Hexagonal_prismatic_honeycomb/6XVrH9M5">Hexagonal prismatic honeycomb</a></td></tr><tr><td>Properties</td><td><a href="/facts/Vertex-transitive/5nC8PdBm">vertex-transitive</a></td></tr></tbody></table>
<p>The triangular prismatic honeycomb or triangular prismatic cellulation is a space-filling <a href="/facts/Tessellation/7BWDywXC">tessellation</a> (or <a href="/facts/Honeycomb_(geometry)/seyRBcel">honeycomb</a>) in <a href="/facts/Euclidean_3-space/KAqKWUbS">Euclidean 3-space</a>.  It is composed entirely of <a href="/facts/Triangular_prism/Yjp4Kw9M">triangular prisms</a>.
</p><p>It is constructed from a <a href="/facts/Triangular_tiling/Jx8f8Krh">triangular tiling</a> extruded into prisms.
</p><p>It is one of 28 <a href="/facts/Convex_uniform_honeycomb/78IkTl7A">convex uniform honeycombs</a>.
</p><p>It consists of 1 + 6 + 1 = 8 edges meeting at a vertex, There are 6 triangular prism cells meeting at an edge and faces are shared between 2 cells.
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Triangular prismatic honeycomb open-in-new

Triangular prismatic honeycomb