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Convex uniform honeycomb
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==== The C̃<sub>2</sub>×Ĩ<sub>1</sub>(∞), [4,4,2,∞], prismatic group ==== There are only 3 unique honeycombs from the square tiling, but all 6 tiling truncations are listed below for completeness, and tiling images are shown by colors corresponding to each form. {|class="wikitable" !Indices ![[Coxeter-Dynkin diagram|Coxeter-Dynkin]]<br/>and [[Schläfli symbol#Extended for uniform 4-polytopes and 3-space honeycombs|Schläfli]]<br/>symbols !Honeycomb name !Plane<br/>tiling !Solids<br/>(Partial) !Tiling |- |rowspan=3|J<sub>11,15</sub><br/>A<sub>1</sub><br/>G<sub>22</sub> |align=center|{{CDD|node_1|4|node|4|node|2|node_1|infin|node}} <br/>{4,4}×{∞} |rowspan=3 align=center|[[Cubic honeycomb|Cubic]]<br/>(Square prismatic) (chon) |rowspan=3|[[Square tiling|(4.4.4.4)]] |rowspan=3|[[File:Partial cubic honeycomb.png|80px]] |[[File:Uniform tiling 44-t0.svg|50px]] |- BGCOLOR="#e0f0e0" |align=center|{{CDD|node|4|node_1|4|node|2|node_1|infin|node}} <br/>r{4,4}×{∞} |[[File:Uniform tiling 44-t1.png|50px]] |- BGCOLOR="#e0f0e0" |align=center|{{CDD|node_1|4|node|4|node_1|2|node_1|infin|node}} <br/>rr{4,4}×{∞} |[[File:Uniform tiling 44-t02.svg|50px]] |- |rowspan=2|J<sub>45</sub><br/>A<sub>6</sub><br/>G<sub>24</sub> |align=center|{{CDD|node_1|4|node_1|4|node|2|node_1|infin|node}} <br/>t{4,4}×{∞} |rowspan=2 align=center|[[Truncated square prismatic honeycomb|Truncated/Bitruncated square prismatic]] (tassiph) |rowspan=2|[[Truncated square tiling|(4.8.8)]] |rowspan=2|[[File:Truncated square prismatic honeycomb.png|80px]] |[[File:Uniform tiling 44-t01.png|50px]] |- BGCOLOR="#e0f0e0" |align=center|{{CDD|node_1|4|node_1|4|node_1|2|node_1|infin|node}} <br/>tr{4,4}×{∞} |[[File:Uniform tiling 44-t012.png|50px]] |- BGCOLOR="#d0f0f0" |J<sub>44</sub><br/>A<sub>11</sub><br/>G<sub>14</sub> |align=center|{{CDD|node_h|4|node_h|4|node_h|2|node_1|infin|node}} <br/>sr{4,4}×{∞} |align=center|[[Snub square prismatic honeycomb|Snub square prismatic]] (sassiph) |[[Snub square tiling|(3.3.4.3.4)]] |[[File:Snub square prismatic honeycomb.png|80px]] |[[File:Uniform tiling 44-snub.svg|50px]] |- BGCOLOR="#d0f0f0" |Nonuniform |align=center|{{CDD|node_h|4|node_h|4|node_h|2x|node_h|infin|node}}<br/>ht<sub>0,1,2,3</sub>{4,4,2,∞} | | | | |}
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