deltahedron
Sign in to savethumb|upright=1.6|The eight convex deltahedra. First row: regular tetrahedron, triangular bipyramid, [[regular octahedron, pentagonal bipyramid. Second row: gyroelongated square bipyramid, regular icosahedron, triaugmented triangular prism, snub disphenoid.]] A deltahedron is a polyhedron whose faces are all equilateral triangles. The deltahedron was named by Martyn Cundy, after the Greek capital letter delta resembling a triangular shape Δ.
Wikidata facts
- Subclass of
- polyhedron
Show 6 more facts
- has facet polytope
- equilateral triangle
- topic's main category
- Category:Deltahedra
- Commons category
- Polyhedra
- different from
- trapezohedron
- studied by
- solid geometry
- maintained by WikiProject
- WikiProject Mathematics
Sources (1)
via Wikidata · CC0
~6 min read
Encyclopedic overview
6 sectionsContents
- Strictly convex deltahedron
- Non-convex deltahedron
- References
- Footnotes
- Works cited
- External links
thumb|upright=1.6|The eight convex deltahedra. First row: regular tetrahedron, triangular bipyramid, [[regular octahedron, pentagonal bipyramid. Second row: gyroelongated square bipyramid, regular icosahedron, triaugmented triangular prism, snub disphenoid.]] A deltahedron is a polyhedron whose faces are all equilateral triangles. The deltahedron was named by Martyn Cundy, after the Greek capital letter delta resembling a triangular shape Δ.
Deltahedra can be categorized by the property of convexity. The simplest convex deltahedron is the regular tetrahedron, a pyramid with four equilateral triangles. There are eight convex deltahedra, which can be used in the applications of chemistry as in the polyhedral skeletal electron pair theory and chemical compounds. There are infinitely many concave deltahedra.
Excerpted from Wikipedia’s “deltahedron” article, available under the CC BY-SA 4.0 licence.