Editing Convex uniform honeycomb (section)

=== Prismatic stacks ===
Eleven '''prismatic''' tilings are obtained by stacking the eleven [[tiling by regular polygons|uniform plane tilings]], shown below, in parallel layers. (One of these honeycombs is the cubic, shown above.) The [[vertex figure]] of each is an irregular [[bipyramid]] whose faces are [[isosceles triangle]]s.

==== The C̃<sub>2</sub>×Ĩ<sub>1</sub>(&infin;), [4,4,2,&infin;], 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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==== The G̃<sub>2</sub>xĨ<sub>1</sub>(&infin;), [6,3,2,&infin;] 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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|}