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Definition of dodecahedron from the cambridge academic content dictionary cambridge university press.
Dodecahedron meaning math. Quanta magazine mathematicians report new discovery about the dodecahedron 31 aug. 2020 the dodecahedron symbolized all the heavenly bodies the stars and planets each perfect in shape and movement. A solid shape that has twelve flat surfaces of equal size each with five sides. A dodecahedron is a 3 d shape that is made of 12 flat faces.
The 12 sided shape with the 12 letter name dodecahedrons are three dimensional bodies containing a dozen flat faces all shaped like pentagons. Us doʊˌdek əˈhi drən plural dodecahedrons or dodecahedra us doʊˌdek əˈhi drə. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces which is a platonic solid there are also three regular star dodecahedra which are constructed as stellations of the convex. A regulardodecahedron has 12 congruent faces and each face is a regular pentagon.
A polyhedron a flat sided solid object with 12 faces. The surface area of a regular dodecahedron is given by the formula where s is the length of each side of a pentagon. It is called a dodecahedron because it is a polyhedron that has 12 faces from greek dodeca meaning 12. Quanta magazine the two forms of mathematical beauty 16 june 2020.
When it is regular side lengths are equal and angles. A dodecahedron is a polyhedron with 12 faces. When we say dodecahedron we often mean regular dodecahedron in other words all faces are the same size and shape but it doesn t have to be this is also a dodecahedron even though all faces are not the same. Illustrated definition of dodecahedron.
In geometry a dodecahedron greek δωδεκάεδρον from δώδεκα dōdeka twelve ἕδρα hédra base seat or face is any polyhedron with twelve flat faces. Surface area 3 25 10 5 edge length 2. A dodecahedron greek δωδεκάεδρον from δώδεκα twelve εδρον base seat or face is any polyhedron with twelve faces but usually a regular dodecahedron is meant. There are many different types of dodecahedra but the one we usually think of is made using 12 pentagons.
When we have more than one dodecahedron they are called dodecahedra.
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