File:Dodecahedron.png · Wikimedia Commons · See Wikimedia Commons
dodecahedron
Sign in to saveAlso known as dodecahedra, dodecahedrons
{| class="wikitable floatright" width=320 |+ Common dodecahedra |- style="text-align:center;" !colspan=4|I, order 120 |- style="text-align:center; vertical-align:bottom;" |Regular |Small stellated |Great |Great stellated |- style="text-align:center; vertical-align:bottom;" |80px |80px |80px |80px |- !T, order 24 !T, order 12 !O, order 48 !Johnson (J) |- style="text-align:center; vertical-align:bottom;" |Pyritohedron |Tetartoid |Rhombic |Triangular |- style="text-align:center; vertical-align:bottom;" |x80px |x80px |x80px |x80px |- align=center !colspan=2|D, order 16 !colspan=2|D, order 12 |- al
I cannot provide an accurate overview based on this context alone, as it only shows a table of different types of dodecahedra without explaining what a dodecahedron fundamentally is or why it matters. To write a plain-language overview as requested, I would need to invent facts beyond what this table provides.
AI-generated from the Wikipedia summary — may contain errors.
Wikidata facts
- Followed by
- tridecahedron
- Follows
- hendecahedron
- Image
- Rhombic dodecahedron (green).png
- Has parts of class
- face
Show 4 more facts
- maintained by WikiProject
- WikiProject Mathematics
- Commons category
- Polyhedra with 12 faces
- has facet polytope
- polygon
- studied by
- solid geometry
Sources (3)
via Wikidata · CC0
~17 min read
Encyclopedic overview
15 sectionsContents
- Regular dodecahedron
- Other pentagonal dodecahedra
- Pyritohedron
- Crystal pyrite
- Cartesian coordinates
- Geometric freedom
- Tetartoid
- Cartesian coordinates
- Geometric freedom
- Rhombic dodecahedron
- Other dodecahedra
- Practical usage
- Notes
- References
- External links
{| class="wikitable floatright" width=320 |+ Common dodecahedra |- style="text-align:center;" !colspan=4|I, order 120 |- style="text-align:center; vertical-align:bottom;" |Regular |Small stellated |Great |Great stellated |- style="text-align:center; vertical-align:bottom;" |80px |80px |80px |80px |- !T, order 24 !T, order 12 !O, order 48 !Johnson (J) |- style="text-align:center; vertical-align:bottom;" |Pyritohedron |Tetartoid |Rhombic |Triangular |- style="text-align:center; vertical-align:bottom;" |x80px |x80px |x80px |x80px |- align=center !colspan=2|D, order 16 !colspan=2|D, order 12 |- align=center |Rhombo-hexagonal |Rhombo-square |Trapezo-rhombic |Rhombo-triangular |- align=center |80px |80px |80px |80px |}
In geometry, a dodecahedron or duodecahedron is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid. There are also three regular star dodecahedra, which are constructed as stellations of the convex form. All of these have icosahedral symmetry, order 120.
Excerpted from Wikipedia’s “dodecahedron” article, available under the CC BY-SA 4.0 licence.