draw a tetrahedron write its number of faces edges and vertices
Answers
Answer:
Regular tetrahedron
Tetrahedron.jpg
(Click here for rotating model)
Type Platonic solid
Elements F = 4, E = 6
V = 4 (χ = 2)
Faces by sides 4{3}
Conway notation T
Schläfli symbols {3,3}
h{4,3}, s{2,4}, sr{2,2}
Face configuration V3.3.3
Wythoff symbol 3 | 2 3
| 2 2 2
Coxeter diagram CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png = CDel node h.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 4.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 2x.pngCDel node h.png
Symmetry Td, A3, [3,3], (*332)
Rotation group T, [3,3]+, (332)
References U01, C15, W1
Properties regular, convexdeltahedron
Dihedral angle 70.528779° = arccos(1⁄3)
Tetrahedron vertfig.png
3.3.3
(Vertex figure) Tetrahedron.png
Self-dual
(dual polyhedron)
Tetrahedron flat.svg
Net
Tetrahedron (Matemateca IME-USP)
3D model of regular tetrahedron.
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the ordinary convex polyhedra and the only one that has fewer than 5 faces.[1]
The tetrahedron is the three-dimensional case of the more general concept of a Euclidean simplex, and may thus also be called a 3-simplex.
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