Great dodecahedron

Great dodecahedron
Dimensionality	3
Schläfli Symbol	'"`UNIQ--postMath-00000001-QINU`"'
Coxeter–Dynkin diagram
Subfacets
Vertices	12 points
Edges	30 line segments
Faces	12 pentagons
Cells	1 great dodecahedron
Hypervolumes
Surcell Volume	'"`UNIQ--postMath-00000002-QINU`"'

The great dodecahedron, with Bowers' acronym gad, is a regular, uniform 3-dimensional star polyhedron with pentagonal faces that make pentagrammic vertex figures and one of the Kepler-Poinsot polyhedra. It is the dual to the small stellated dodecahedron.

Structure and Sections

Subfacets

• 12 points (0D)
• 30 line segments (1D)
• 12 pentagons (2D)
• 1 great dodecahedron (3D)

See also

• Polytope Wiki. "Great dodecahedron".
• Bowers, Jonathan. "Polyhedron Category 1: Regulars".

$\{5,2\}$	$\{5, 3\}$	$\{5,4\}$	$\{5,5\}$	$\{5,6\}$	$\{5,7\}$	$\{5,8\}$	...	$\{5,\infty\}$	$\{5,\frac{\pi i}{\lambda}\}$
Pentagonal dihedron	Dodecahedron	Order-4 pentagonal tiling	Order-5 pentagonal tiling	Order-6 pentagonal tiling	Order-7 pentagonal tiling	Order-8 pentagonal tiling	...	Infinite-order pentagonal tiling	Imaginary-order pentagonal tiling

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