Metabiaugmented hexagonal prism: Difference between revisions
imported>OlliverWithDoubleL m short description, formatting |
imported>LucasBrown m x vs × |
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{{Short description|56th Johnson solid}} | {{Short description|56th Johnson solid (14 faces)}} | ||
{{Infobox polyhedron | {{Infobox polyhedron | ||
|image=metabiaugmented_hexagonal_prism.png | |image=metabiaugmented_hexagonal_prism.png | ||
|type=[[Johnson solid|Johnson]]<br>{{math|[[parabiaugmented hexagonal prism|''J''{{sub|55}}]] – '''''J''{{sub|56}}''' – [[triaugmented hexagonal prism|''J''{{sub|57}}]]}} | |type=[[Johnson solid|Johnson]]<br>{{math|[[parabiaugmented hexagonal prism|''J''{{sub|55}}]] – '''''J''{{sub|56}}''' – [[triaugmented hexagonal prism|''J''{{sub|57}}]]}} | ||
|faces= | |faces=2×2+4 [[triangle]]s <br>2+2 [[square (geometry)|square]]s <br>2 [[hexagon]]s | ||
|edges=26 | |edges=26 | ||
|vertices=14 | |vertices=14 | ||
|symmetry={{math|''C''{{sub|2v}}}} | |symmetry={{math|''C''{{sub|2v}}}} | ||
|vertex_config={{math|4(4{{sup|2}}.6)<br>2(3{{sup|4}})<br> | |vertex_config={{math|4(4{{sup|2}}.6)<br>2(3{{sup|4}})<br>2×4(3{{sup|2}}.4.6)}} | ||
|properties=[[convex polytope|convex]] | |properties=[[convex polytope|convex]] | ||
|net=Johnson solid 56 net.png | |net=Johnson solid 56 net.png | ||
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{{Johnson solid}} | {{Johnson solid}} | ||
[[File:J56 metabiaugmented hexagonal prism.stl|thumb|3D model of a metabiaugmented hexagonal prism]] | |||
== See also == | == See also == | ||
* [[Hexagonal prism]] | * [[Hexagonal prism]] | ||
==External links== | == References == | ||
{{reflist}} | |||
== External links == | |||
* {{MathWorld2 | urlname2=JohnsonSolid | title2=Johnson Solid| urlname=MetabiaugmentedHexagonalPrism | title= Metabiaugmented hexagonal prism }} | * {{MathWorld2 | urlname2=JohnsonSolid | title2=Johnson Solid| urlname=MetabiaugmentedHexagonalPrism | title= Metabiaugmented hexagonal prism }} | ||
Latest revision as of 18:04, 31 December 2025
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In geometry, the metabiaugmented hexagonal prism is one of the Johnson solids (J56Script error: No such module "Check for unknown parameters".). As the name suggests, it can be constructed by doubly augmenting a hexagonal prism by attaching square pyramids (J1Script error: No such module "Check for unknown parameters".) to two of its nonadjacent, nonparallel equatorial faces. Attaching the pyramids to opposite equatorial faces yields a parabiaugmented hexagonal prism. (The solid obtained by attaching pyramids to adjacent equatorial faces is not convex, and thus not a Johnson solid.)
See also
References
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