Table of Contents
Which polyhedron has least faces?
triangular pyramid
A polyhedron with least number of faces is known as a triangular pyramid.
What is a polyhedron with 12 faces called?
In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka “twelve” + ἕδρα hédra “base”, “seat” or “face”) 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.
Which polyhedron has more faces than an octahedron?
Cube or Hexahedron ( 6 faces) has more faces than tetrahedron ( 4 faces), but fewer than octahedron ( 8 faces).
What polyhedron has the most faces?
Rhombicosidodecahedron
Rhombicosidodecahedron | |
---|---|
Type | Archimedean solid Uniform polyhedron |
Elements | F = 62, E = 120, V = 60 (χ = 2) |
Faces by sides | 20{3}+30{4}+12{5} |
Conway notation | eD or aaD |
Can a polyhedron have more faces than vertices?
A polyhedron consists of polygonal faces, their sides are known as edges, and the corners as vertices. A polyhedron consists of just one piece. It cannot, for example, be made up of two (or more) basically separate parts joined by only an edge or a vertex.
What is the difference between a tetrahedron and a triangular prism?
Both triangular prism and triangular pyramid (Tetrahedron) are polyhedrons, but the triangular prism consists of triangles as the base of the prism with rectangular sides, whereas the tetrahedron consists of triangles at every side.
What polygons can be the faces of a Platonic solid?
The platonic solids (or regular polyhedra) are convex with faces composed of congruent , convex regular polygons . The mathematician Euclid proved that there are exactly five such solids. They are the tetrahedron, cube, octahedron, dodecahedron and icosahedron.