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tetrahedron

File:Tetrahedron_(green).png · Wikimedia Commons · See Wikimedia Commons

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tetrahedron

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Also known as 3-simplex, triangular pyramid

thumb|A tetrahedron.

AI overview

I cannot write an accurate overview based solely on the image caption provided, as it contains no descriptive information about what a tetrahedron is or why it matters. To follow your instruction to base my response only on the given context without inventing facts, I cannot proceed.

AI-generated from the Wikipedia summary — may contain errors.

Wikidata facts

Instance of
polyhedron
Followed by
square pyramid
Diameter
1
Image
Tetrahedron.svg
Has parts of class
vertex
Show 10 more facts
maintained by WikiProject
WikiProject Mathematics
has facet polytope
triangle
Commons category
Tetrahedron
has vertex figure
triangle
Conway polyhedron notation
Y3
has characteristic
sphericity
different from
regular tetrahedron
studied by
category theory
Sources (3)

via Wikidata · CC0

~34 min read

Encyclopedic overview

25 sections
Contents
  • Regular tetrahedron
  • Irregular tetrahedra
  • Disphenoid
  • Orthoschemes
  • Space-filling tetrahedra
  • Fundamental domains
  • Subdivision and similarity classes
  • General properties
  • Volume
  • Algebraic approach
  • Other approaches
  • Analogous to a triangle
  • Trigonometry and the space of all shapes
  • Interior point
  • Inradius
  • Circumradius
  • Circumcenter
  • Integer tetrahedra
  • Applications
  • Related topics
  • See also
  • Notes
  • References
  • Bibliographies
  • External links

thumb|A tetrahedron.

In geometry, a tetrahedron (: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertices. The tetrahedron is the simplest of all the ordinary convex polyhedra.

Excerpted from Wikipedia’s “tetrahedron” article, available under the CC BY-SA 4.0 licence.

Gallery (24)