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Convex uniform honeycomb
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==== The G̃<sub>2</sub>xĨ<sub>1</sub>(∞), [6,3,2,∞] prismatic group ==== {|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 |- |J<sub>41</sub><br/>A<sub>4</sub><br/>G<sub>11</sub> |{{CDD|node|6|node|3|node_1|2|node_1|infin|node}} <br/>{3,6} × {∞} |[[Triangular prismatic honeycomb|Triangular prismatic]] (tiph) |[[triangular tiling|(3<sup>6</sup>)]] |[[File:Triangular prismatic honeycomb.png|60px]] |[[File:Uniform tiling 63-t2-red.svg|60px]] |- |rowspan=2|J<sub>42</sub><br/>A<sub>5</sub><br/>G<sub>26</sub> |{{CDD|node_1|6|node|3|node|2|node_1|infin|node}} <br/>{6,3} × {∞} |rowspan=2 align=center|[[Hexagonal prismatic honeycomb|Hexagonal prismatic]] (hiph) |rowspan=2|[[hexagonal tiling|(6<sup>3</sup>)]] |[[File:Hexagonal prismatic honeycomb.png|60px]] |[[File:Uniform tiling 63-t0.svg|60px]] |- |{{CDD|node|6|node_1|3|node_1|2|node_1|infin|node}} <br/>t{3,6} × {∞} ||[[File:Truncated triangular prismatic honeycomb.png|60px]] |[[File:Uniform tiling 63-t12.svg|60px]] |- |J<sub>43</sub><br/>A<sub>8</sub><br/>G<sub>18</sub> |{{CDD|node|6|node_1|3|node|2|node_1|infin|node}} <br/>r{6,3} × {∞} |[[Trihexagonal prismatic honeycomb|Trihexagonal prismatic]] (thiph) |[[Trihexagonal tiling|(3.6.3.6)]] |[[File:Triangular-hexagonal prismatic honeycomb.png|60px]] |[[File:Uniform tiling 63-t1.png|60px]] |- |J<sub>46</sub><br/>A<sub>7</sub><br/>G<sub>19</sub> |{{CDD|node_1|6|node_1|3|node|2|node_1|infin|node}} <br/>t{6,3} × {∞} |[[Truncated hexagonal prismatic honeycomb|Truncated hexagonal prismatic]] (thaph) |[[Truncated hexagonal tiling|(3.12.12)]] |[[File:Truncated hexagonal prismatic honeycomb.png|60px]] |[[File:Uniform tiling 63-t01.png|60px]] |- |J<sub>47</sub><br/>A<sub>9</sub><br/>G<sub>16</sub> |{{CDD|node_1|6|node|3|node_1|2|node_1|infin|node}} <br/>rr{6,3} × {∞} |[[Rhombitrihexagonal prismatic honeycomb|Rhombi-trihexagonal prismatic]] (srothaph) |[[Rhombitrihexagonal tiling|(3.4.6.4)]] |[[File:Rhombitriangular-hexagonal prismatic honeycomb.png|60px]] |[[File:Uniform tiling 63-t02.png|60px]] |- BGCOLOR="#d0f0f0" |J<sub>48</sub><br/>A<sub>12</sub><br/>G<sub>17</sub> |{{CDD|node_h|6|node_h|3|node_h|2|node_1|infin|node}} <br/>sr{6,3} × {∞} |[[Snub hexagonal prismatic honeycomb|Snub hexagonal prismatic]] (snathaph) |[[Snub hexagonal tiling|(3.3.3.3.6)]] |[[File:Snub triangular-hexagonal prismatic honeycomb.png|60px]] |[[File:Uniform tiling 63-snub.png|60px]] |- |J<sub>49</sub><br/>A<sub>10</sub><br/>G<sub>23</sub> |{{CDD|node_1|6|node_1|3|node_1|2|node_1|infin|node}} <br/>tr{6,3} × {∞} |[[truncated trihexagonal prismatic honeycomb|truncated trihexagonal prismatic]] (grothaph) |[[Truncated trihexagonal tiling|(4.6.12)]] |[[File:Omnitruncated triangular-hexagonal prismatic honeycomb.png|60px]] |[[File:Uniform tiling 63-t012.svg|60px]] |- BGCOLOR="#d0f0f0" |J<sub>65</sub><br/>A<sub>11'</sub><br/>G<sub>13</sub> |{{CDD|node|infin|node_h|2x|node_h|infin|node_1|2|node_1|infin|node}} <br/>{3,6}:e × {∞} |[[elongated triangular prismatic honeycomb|elongated triangular prismatic]] (etoph) |[[elongated triangular tiling|(3.3.3.4.4)]] |[[File:Elongated triangular prismatic honeycomb.png|60px]] |[[File:Tile 33344.svg|60px]] |- BGCOLOR="#d0f0f0" |rowspan=2|J<sub>52</sub><br/>A<sub>2'</sub><br/>G<sub>2</sub> |{{CDD|node|3|node|6|node_h|2x|node_h|infin|node}}<br/>h3t{3,6,2,∞} |rowspan=2|[[gyrated tetrahedral-octahedral honeycomb|gyrated tetrahedral-octahedral]] (gytoh) |rowspan=2|[[triangular tiling|(3<sup>6</sup>)]] |rowspan=2|[[File:Gyrated alternated cubic honeycomb.png|60px]] |rowspan=2|[[File:Uniform tiling 63-t2-red.svg|60px]] |- BGCOLOR="#d0f0f0" |{{CDD|node|6|node_h|3|node_h|2x|node_h|infin|node}}<br/>s2r{3,6,2,∞} |- BGCOLOR="#d0f0f0" |Nonuniform |{{CDD|node_h|3|node_h|6|node_h|2x|node_h|infin|node}}<br/>ht<sub>0,1,2,3</sub>{3,6,2,∞} | | | | |}
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