# Who created the Stellated dodecahedron?

## Who created the Stellated dodecahedron?

In geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol { 5⁄2,5}….

Small stellated dodecahedron
Faces by sides 12 5
Schläfli symbol {5⁄2,5}
Face configuration V(55)/2
Wythoff symbol 5 | 2 5⁄2

## What polyhedron did Kepler discover?

The small and great stellated dodecahedra, sometimes called the Kepler polyhedra, were first recognized as regular by Johannes Kepler around 1619. He obtained them by stellating the regular convex dodecahedron, for the first time treating it as a surface rather than a solid.

How many edges does a Stellated dodecahedron have?

30 edges
The great Stellated dodecahedron has 12 faces (star pentagons called pentagrams), 30 edges, 20 vertices.

How many points does a great Stellated dodecahedron have?

. It has 12 pentagrammic faces.

### How many triangles are in a stellated dodecahedron?

The truncated great stellated dodecahedron is a degenerate polyhedron, with 20 triangular faces from the truncated vertices, and 12 (hidden) pentagonal faces as truncations of the original pentagram faces, the latter forming a great dodecahedron inscribed within and sharing the edges of the icosahedron.

### How many triangles are in small Stellated dodecahedron?

The stellated dodecahedron is made up of 12 tips with 5 isosceles triangles in each tips for a total of 60 triangles.

How many Archimedean solids are there?

13 Archimedean solids
Seven of the 13 Archimedean solids (the cuboctahedron, icosidodecahedron, truncated cube, truncated dodecahedron, truncated octahedron, truncated icosahedron, and truncated tetrahedron) can be obtained by truncation of a Platonic solid.

What is the meaning of Stellation?

In geometry, stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure.

#### What is the meaning of the word stellated?

Here are all the possible meanings and translations of the word stellated. Of a polyhedron, having its edges of planes extended to form a new shape. Origin: stellatus. Origin: [L. stellatus, p. p. of stellare to set or cover with stars, from stella a star.

#### What is a stellated dodecagon?

Construction of a stellated dodecagon: a regular polygon with Schläfli symbol {12/5}. In geometry, stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure.

What is stellation In geometry?

In geometry, stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure.

What is stellated polygon?

John Conway devised a terminology for stellated polygons, polyhedra and polychora (Coxeter 1974). In this system the process of extending edges to create a new figure is called stellation, that of extending faces is called greatening and that of extending cells is called aggrandizement (this last does not apply to polyhedra).