imported>IAPETUSOUTSOLD: Added 3D model

2025-12-27T11:18:25Z

Added 3D model

← Previous revision		Revision as of 11:18, 27 December 2025
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	{{Short description\|57th Johnson solid}}		{{Short description\|57th Johnson solid (17 faces)}}
	{{Infobox polyhedron		{{Infobox polyhedron
	\|image=triaugmented_hexagonal_prism.png		\|image=triaugmented_hexagonal_prism.png
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	\|symmetry={{math\|''D''{{sub\|3h}}}}		\|symmetry={{math\|''D''{{sub\|3h}}}}
	\|vertex_config={{math\|3(3{{sup\|4}})<br>12(3{{sup\|2}}.4.6)}}		\|vertex_config={{math\|3(3{{sup\|4}})<br>12(3{{sup\|2}}.4.6)}}
	~~\|dual=alternate order-4 truncated hexagonal bipyramid~~
	\|properties=[[convex polytope\|convex]]		\|properties=[[convex polytope\|convex]]
	\|net=Johnson solid 57 net.png		\|net=Johnson solid 57 net.png
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	{{Johnson solid}}		{{Johnson solid}}
			[[File:J57 triaugmented hexagonal prism.stl\|thumb\|3D model of a triaugmented hexagonal prism]]

	== See also ==		== See also ==

imported>OlliverWithDoubleL: short description, formatting

2022-06-14T06:43:59Z

short description, formatting

New page

{{Short description|57th Johnson solid}}
{{Infobox polyhedron
|image=triaugmented_hexagonal_prism.png
|type=[[Johnson solid|Johnson]]<br>{{math|[[Metabiaugmented hexagonal prism|''J''{{sub|56}}]] – '''''J''{{sub|57}}''' – [[Augmented dodecahedron|''J''{{sub|58}}]]}}
|faces=12 [[triangle]]s <br> 3 [[square (geometry)|square]]s <br> 2 [[hexagon]]s
|edges=30
|vertices=15
|symmetry={{math|''D''{{sub|3h}}}}
|vertex_config={{math|3(3{{sup|4}})<br>12(3{{sup|2}}.4.6)}}
|dual=alternate order-4 truncated hexagonal bipyramid
|properties=[[convex polytope|convex]]
|net=Johnson solid 57 net.png
}}

In [[geometry]], the '''triaugmented hexagonal prism''' is one of the [[Johnson solid]]s ({{math|''J''{{sub|57}}}}). As the name suggests, it can be constructed by triply augmenting a hexagonal [[prism (geometry)|prism]] by attaching [[square pyramid]]s ({{math|''J''{{sub|1}}}}) to three of its nonadjacent equatorial faces.

{{Johnson solid}}

== See also ==
* [[Hexagonal prism]]

== References ==
{{Reflist}}

== External links ==
* {{MathWorld2 | urlname2=JohnsonSolid | title2=Johnson Solid| urlname=TriaugmentedHexagonalPrism | title=Triaugmented hexagonal prism }}

{{DEFAULTSORT:Triaugmented Hexagonal Prism}}
[[Category:Johnson solids]]

{{Johnson solids navigator}}
{{Polyhedron-stub}}

Triaugmented hexagonal prism - Revision history

imported>IAPETUSOUTSOLD: Added 3D model

imported>OlliverWithDoubleL: short description, formatting