Decahedron

A decahedron (or decahedron ) is a convex polyhedron made up of ten surfaces.

Is known z. B. the chiral decahedron shown below, which is created by truncating a cubus simus and how this has a sphere . It consists of eight irregular but axially symmetrical pentagons and two squares and has 16 corners and 24 edges.

Another example is the pentagonal bipyramid ( Johnson body ), which is composed of ten equilateral triangles. This polyhedron is created by cutting off and then joining two caps of an icosahedron standing on its tip . It has 7 corners and 15 edges. ${\displaystyle J_{13}}$

Picture gallery

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  »Leaning« decahedron with 8 pentagons and 2 squares as boundary surfaces.

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  Pentagonal pyramid ( ) ${\displaystyle J_{13}}$

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  Pentagonal trapezoid - created by extending 10 edges of the dodecahedron .

Web links

Commons : Dekahedron  - collection of images, videos and audio files

• Eric W. Weisstein : Decahedron . In: MathWorld (English).