Admin Table of Contents
How many parallel faces does a dodecahedron have?
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).
What is unique about a 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 does dodecahedron have?
12
Dodecahedron/Number of faces
What shape is each face of a dodecahedron?
pentagonal
A dodecahedron is a three-dimensional figure having twelve faces that are pentagonal in shape. All the faces are flat 2-D shapes. There are five platonic solids and dodecahedron is one of them.
What is the angle between faces of a dodecahedron?
In a dodecahedron, all of the angles, a, b, g, are equal and are 108 degrees. This is due to the fact that each of the faces is a regular pentagon and in a regular pentagon each angle is , where n is 5. and so q = 116.57 degrees. The dihedral angle for a regular dodecahedron is about 116.57 degrees.
What does the dodecahedron symbolize?
A dodecahedron is any polyhedron with twelve faces. Three faces meet at each vertex. It is dual to the regular icosahedron. The dodecahedron is said to represent the universe; while the other four Platonic solids represent earth, fire, water and air, the five elements.
Dodecahedron. From the Greek, meaning twelve-faced, the dodecahedron has 12 faces formed from pentagons. These join along 30 edges to form 20 vertices. It has six pairs of parallel faces.
How many stellations does a dodecahedron have?
There are 3 stellations of the dodecahedron. These are the: These stellations are three of the four Kepler-Poinsot Polyhedra. The small stellated dodecahedron has 12 pentagrammic faces and 125 faces by sides. It has the same topoolgy as the pentakis dodecahedron but with much taller isosceles triangle faces. Net of the Small Stellated Dodecahedron
Where is the dodecahedron found in real life?
The dodecahedron is also found in the structure of quasicrystals, such as the Ho-Mg-Zn quasicrystal. The dodecahedron is also found in the structure of garnet and diamond, though this is usually rhombic dodecahedral. The dodecahedron shows up all over the place in DNA. The braided thread of the DNA helix is a ratcheted dodecahedron.
What is the sum of the angles of a dodecahedron?
If the dodecahedron has edge length = 1, the associated dual icosahedron will have edge length = phi. The Sum of the dodecahedron’s angles = 6480º. A Dodecahedron can be built from 32 Spheres