 | This template uses Lua: |
Usage edit
{{Infobox polyhedron
| name = <!--name of considered shape-->
| image = <!--only image file name-->
| caption = <!--image caption-->
| type = <!--general type of considered shape-->
| euler = <!--Euler characteristic-->
| faces = <!--face count and type(s)-->
| edges = <!--edge count (and type(s))-->
| vertices = <!--vertex count (and type(s))-->
| vertex_config = <!--list(s) of faces around a vertex-->
| schläfli = <!--Schläfli symbol-->
| wythoff = <!--Wythoff symbol-->
| conway = <!--Conway polyhedron notation-->
| coxeter = <!--Coxeter-Dynkin diagram-->
| symmetry = <!--symmetry group-->
| rotation_group = <!--rotation group-->
| surface_area = <!--some simple formula(e)-->
| volume = <!--some simple formula(e)-->
| angle = <!--dihedral angle(s)--some simple formula(e)-->
| dual = <!--dual polyhedron of considered shape-->
| properties = <!--property(ies) of considered shape-->
| vertex_figure = <!--only image file name-->
| net = <!--only image file name-->
| net_alt = <!--alternative net--only image file name-->
| net_caption = <!--net and net_alt caption-->
}}
Legacy parameters edit
- Image_File → image
- Polyhedron_Type → type
- Euler_characteristic → euler
- Face_List → faces
- Edge_Count → edges
- Vertex_Count → vertices
- Vertex_List → vertex_config
- Wythoff_Symbol → wythoff
- Symmetry_Group → symmetry
- Dual → dual
- Property_List → properties
- Vertex_Image_File → vertex_figure
- Net_Image_File → net
- Net_Alt_Image_File → net_alt
Examples edit
| Set of pyramidal right n-gonal frustums | |
|---|---|
  Examples: right square and pentagonal frustums (n = 4 and n = 5) | |
| Faces | n isosceles trapezoids, 2 regular n-gons |
| Edges | 3n |
| Vertices | 2n |
| Symmetry group | Cnv, [1,n], (*nn) |
| Dual polyhedron | convex asymmetric right n-gonal bipyramid |
| Properties | convex |
| Net | |
 | |
 | |
| Examples: nets of right trigonal and pentagonal frustums (n = 3 and n = 5) | |
The code below results in the infobox on the right:
{{Infobox polyhedron
| name = Set of pyramidal right {{mvar|n}}-gonal frustums
| image = [[Image:Usech kvadrat piramid.png|110px]][[File:Pentagonal frustum.svg|110px]]
| caption = Examples: right square and pentagonal frustums ({{math|1=''n'' = 4}} and {{math|1=''n'' = 5}})
| type =
| faces = {{mvar|n}} isosceles [[trapezoid]]s, {{math|2}} [[Regular polygon|regular {{mvar|n}}-gons]]
| edges = {{math|3''n''}}
| vertices = {{math|2''n''}}
| wythoff =
| symmetry = [[Symmetry group#Three dimensions|{{math|C<sub>''n''v</sub>, [1,''n''], (*''nn'')}}]]
| dual = convex [[Bipyramid#Asymmetric/inverted right bipyramids|asymmetric right {{mvar|n}}-gonal bipyramid]]
| properties = [[Convex set|convex]]
| net = Net of right trigonal frustum.png
| net_alt = Net of right pentagonal frustum.png
| net_caption = Examples: nets of right trigonal and pentagonal frustums ({{math|1=''n'' = 3}} and {{math|1=''n'' = 5}}))
}}
See also edit
Polyhedron templates:
- {{Polyhedra}}
Tables:
- {{Cupolae}}
- {{Polyhedron operators}}
- {{Reg hyperbolic tiling stat table}}
- {{Reg tiling stat table}}
- {{Uniform hyperbolic tiling stat table}}
- {{Uniform tiling full table}}
- {{Uniform tiling list table}}
- {{Uniform tiling stat table}}
Database:
- {{Even polygon db}}
- {{Prism polyhedra db}}
- {{Reg polyhedra db}}
- {{Semireg dual polyhedra db}}
- {{Semireg polyhedra db}}
- {{Uniform hyperbolic tiles db}}
- {{Uniform polyhedra db}}
- {{Uniform tiles db}}
Info- and navboxes:
- {{Honeycombs}}
- {{Infobox polygon}}
- {{Infobox polyhedron}}
- {{Polyhedron types}}
- {{Tessellation}}
Other:
- {{Coxeter–Dynkin diagram}}
- {{Honeycomb}}