Table of Contents
- 1 What shape faces does a dodecahedron have?
- 2 How many triangles are in a dodecahedron?
- 3 What polyhedron has triangular faces?
- 4 What is special about dodecahedron?
- 5 How many faces are there in a dodecahedron?
- 6 What kind of symmetry does a tetragonal dodecahedron have?
- 7 Is the small stellated dodecahedron dual to the great icosahedron?
What shape faces does a dodecahedron have?
pentagonal
A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of 12 regular pentagonal faces, three meeting at each vertex. It is one of the five Platonic solids. It has 12 faces, 20 vertices, 30 edges, and 160 diagonals (60 face diagonals, 100 space diagonals).
How many triangles are in a dodecahedron?
The Truncated Dodecahedron has 20 equilateral triangular faces, and 12 regular decagonal faces. The 20 triangles come from the 20 cuts that were made at each vertex and are added to the 12 original dodecahedral faces to make 32 total faces. There are 60 Vertices and 90 Edges.
How many triangular faces does a icosahedron have?
20
Regular icosahedra Each has 30 edges and 20 equilateral triangle faces with five meeting at each of its twelve vertices.
What polyhedron has triangular faces?
In geometry, a deltahedron (plural deltahedra) is a polyhedron whose faces are all equilateral triangles. The name is taken from the Greek upper case delta (Δ), which has the shape of an equilateral triangle.
What is special about dodecahedron?
While the regular dodecahedron shares many features with other Platonic solids, one unique property of it is that one can start at a corner of the surface and draw an infinite number of straight lines across the figure that return to the original point without crossing over any other corner.
How many faces are on a dodecahedron?
12
Dodecahedron/Number of faces
How many faces are there in a dodecahedron?
In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka “twelve” + ἕδρα hédra “base”, “seat” or “face”) 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.
What kind of symmetry does a tetragonal dodecahedron have?
A tetartoid (also tetragonal pentagonal dodecahedron, pentagon-tritetrahedron, and tetrahedric pentagon dodecahedron) is a dodecahedron with chiral tetrahedral symmetry (T). Like the regular dodecahedron, it has twelve identical pentagonal faces, with three meeting in each of the 20 vertices.
How many equilateral triangles are in a dodecahedron?
The dual polyhedron is the regular icosahedron {3, 5}, having five equilateral triangles around each vertex. The convex regular dodecahedron also has three stellations, all of which are regular star dodecahedra. They form three of the four Kepler–Poinsot polyhedra.
Is the small stellated dodecahedron dual to the great icosahedron?
The small stellated dodecahedron and great dodecahedron are dual to each other; the great stellated dodecahedron is dual to the great icosahedron {3, 5/2}. All of these regular star dodecahedra have regular pentagonal or pentagrammic faces.