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Hexagonal tiling-triangular tiling honeycomb
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<h2 id="symmetry">Symmetry</h2> <p>A lower symmetry form, index 6, of this honeycomb can be constructed with [(6,3,6,3*)] symmetry, represented by a <a href="/facts/Cube/65lUaAqN">cube</a> fundamental domain, and an octahedral <a href="/facts/Coxeter_diagram/Ik6LmXJB">Coxeter diagram</a> . </p> <h2 id="related-honeycombs">Related honeycombs</h2> <p>The <i>cyclotruncated octahedral-hexagonal tiling honeycomb</i>, has a higher symmetry construction as the <a href="/facts/Order-4_hexagonal_tiling/KS6qS8IU">order-4 hexagonal tiling</a>. </p> <h2 id="see-also">See also</h2> <ul><li><a href="/facts/Uniform_honeycombs_in_hyperbolic_space/n1c2vP9b">Uniform honeycombs in hyperbolic space</a></li> <li><a href="/facts/List_of_regular_polytopes/Kng25Ymq">List of regular polytopes</a></li></ul> <ul><li><a href="/facts/H.S.M._Coxeter/D2l5jWGG">Coxeter</a>, <i><a href="/facts/Regular_Polytopes_(book)/jomuRNha">Regular Polytopes</a></i>, 3rd. ed., Dover Publications, 1973. <a href="/facts/ISBN_(identifier)/15AdSPa9">ISBN</a> 0-486-61480-8. (Tables I and II: Regular polytopes and honeycombs, pp. 294–296)</li> <li><a href="/facts/H.S.M._Coxeter/D2l5jWGG">Coxeter</a>, <i>The Beauty of Geometry: Twelve Essays</i>, Dover Publications, 1999 <a href="/facts/ISBN_(identifier)/15AdSPa9">ISBN</a> 0-486-40919-8 (Chapter 10: Regular honeycombs in hyperbolic space, Summary tables II, III, IV, V, p212-213)</li> <li><a href="/facts/Jeffrey_Weeks_(mathematician)/KjnMwGpQ">Jeffrey R. Weeks</a> <i>The Shape of Space, 2nd edition</i> <a href="/facts/ISBN_(identifier)/15AdSPa9">ISBN</a> 0-8247-0709-5 (Chapter 16-17: Geometries on Three-manifolds I, II)</li> <li><a href="/facts/Norman_Johnson_(mathematician)/bQtL9w56">Norman Johnson</a> <i>Uniform Polytopes</i>, Manuscript <ul><li><a href="/facts/Norman_Johnson_(mathematician)/bQtL9w56">N.W. Johnson</a>: <i>The Theory of Uniform Polytopes and Honeycombs</i>, Ph.D. Dissertation, University of Toronto, 1966</li> <li>N.W. Johnson: <i>Geometries and Transformations</i>, (2018) Chapter 13: Hyperbolic Coxeter groups</li></ul></li></ul>