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|bgcolor=#e7dcc3|4-face type||[[truncated tesseract|t{4,3,3}]]<BR>[[bitruncated 24-cell|2t{3,4,3}]] ...egular [[24-cell honeycomb]], constructed by [[truncated tesseract]] and [[bitruncated 24-cell]] cells. ...

!bgcolor=#e7dcc3 colspan=2|Bitruncated tesseractic honeycomb ...=#e7dcc3|4-face type||[[Bitruncated tesseract]] [[File:Schlegel half-solid bitruncated 16-cell.png|40px]]<BR>[[Truncated 16-cell]] [[File:Schlegel half-solid trun ...

!bgcolor=#e7dcc3 colspan=2|Bitruncated 16-cell honeycomb ...24-cell.png|40px]]<BR>[[Bitruncated tesseract]] [[File:Schlegel half-solid bitruncated 16-cell.png|40px]] ...

...|split2|node}}, filling space by [[6-simplex]], [[truncated 6-simplex]], [[bitruncated 6-simplex]], and [[tritruncated 6-simplex]] facets. |[[File:Bitruncated alternated cubic tiling.png|160px]][[File:Quarter cubic honeycomb.png|160px ...

...=#e7dcc3|4-face type||[[bitruncated tesseract]] [[File:Schlegel half-solid bitruncated 16-cell.png|40px]]<BR> ...loid Tetracombs'', Manuscript (2006) ''(Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)'' ...

[[bitruncated 16-cell|2t{3,3,4}]] [[File:Schlegel half-solid bitruncated 16-cell.png|40px]]<BR> ...loid Tetracombs'', Manuscript (2006) ''(Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)'' Model 1 ...

...g|40px]]<BR>[[bitruncated tesseract|2t{4,3,3}]] [[File:Schlegel half-solid bitruncated 16-cell.png|40px]]<BR>[[truncated tetrahedral prism|t{3,3}×{}]] [[File:Trun ...loid Tetracombs'', Manuscript (2006) ''(Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)'' ...

...ode|6|node_g|3sg|node_g}}, which alternates 3 types (colors) of triangular tilings around every edge. In [[Coxeter notation]], the removal of the 3rd and 4th == Related Tilings == ...

...4,4}, it has four [[square tiling]]s around each edge, and infinite square tilings around each vertex in a [[square tiling]] [[vertex figure]].<ref>Coxeter '' ...DD|node_1|split1-44|nodes|split2-44|node}} with 3 types (colors) of square tilings in a ratio of 2:1:1. ...

...of this honeycomb is a triangular tiling. Thus, infinitely many hexagonal tilings meet at each vertex of this honeycomb.<ref>Coxeter ''The Beauty of Geometry == Related tilings == ...

...[vertex figure]] of this honeycomb is a tetrahedron. Thus, four hexagonal tilings meet at each vertex of this honeycomb, six hexagons meet at each vertex, an ...splitcross|branch_11}}, representing different types (colors) of hexagonal tilings in the [[Wythoff construction]]. ...

|[[Bitruncated cubic honeycomb]]<BR>{{CDD|node_1|split1|nodes_11|split2|node_1}} ...loid Tetracombs'', Manuscript (2006) ''(Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)'' ...

...[[vertex figure]] of this honeycomb is an icosahedron. Thus, 20 hexagonal tilings meet at each vertex of this honeycomb.<ref>Coxeter ''The Beauty of Geometry === Bitruncated order-5 hexagonal tiling honeycomb === ...

....png|40px]]<BR>[[Bitruncated 5-cell|2t{3,3,3}]] [[File:Schlegel half-solid bitruncated 5-cell.png|40px]] ...disphenoid]] cells, defining 2 [[5-cell]], 8 [[truncated 5-cell]], and 6 [[bitruncated 5-cell]] facets around a vertex. ...

..., it has three [[square tiling]]s, {4,4}, around each edge, and six square tilings around each vertex, in a [[cube|cubic]] {4,3} [[vertex figure]].<ref>Coxete ...}, and lastly a construction with three types (colors) of checkered square tilings {{CDD|node_1|4|node|4|node_g|3sg|node_g}} ↔ {{CDD|node|4|node_1|split1-44|n ...

...vertex figure]] of this honeycomb is an octahedron. Thus, eight hexagonal tilings meet at each vertex of this honeycomb, and the six edges meeting at each ve ...A quarter-symmetry construction also exists, with four colors of hexagonal tilings: {{CDD|label6|branch_10r|3ab|branch_10l|label6}}. ...

=== Bitruncated order-4 octahedral honeycomb === The '''bitruncated order-4 octahedral honeycomb''' is the same as the [[bitruncated square tiling honeycomb]]. ...

|[[Bitruncated 5-cell]]<BR>(30 vertices, 60 edges) |[[Bitruncated 24-cell]]<BR>(288 vertices, 576 edges) ...

=== Bitruncated order-6 cubic honeycomb === The '''bitruncated order-6 cubic honeycomb''' is the same as the [[bitruncated order-4 hexagonal tiling honeycomb]]. ...

The bitruncated and runcinated forms (5 and 6) contain the faces of two [[regular skew poly |[[Bitruncated icosahedral honeycomb|bitruncated icosahedral]] (dih)<br>{{CDD|node|3|node_1|5|node_1|3|node}}<br>t<sub>1,2</ ...