How do you make a small Stellated dodecahedron?

Small stellated dodecahedra can be constructed out of paper or cardstock by connecting together 12 five-sided isosceles pyramids in the same manner as the pentagons in a regular dodecahedron. With an opaque material, this visually represents the exterior portion of each pentagrammic face.

How many triangles are in a small Stellated dodecahedron?

60 triangles
When I constructed this model, I first built the dodecahedron. Then I made the tips and glued them on. The stellated dodecahedron is made up of 12 tips with 5 isosceles triangles in each tips for a total of 60 triangles.

How many faces does a small Stellated dodecahedron have?

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

small Stellated Dodecahedron	big Stellated Dodecahedron
the great Dodecahedron	the great Icosahedron

How many edges does a truncated dodecahedron have?

90 edges
The Truncated Dodecahedron has 60 vertices and 90 edges. Since the shapes are equilateral triangles and regular decagons the number of shared corners and sides is more than the Icosidodecahedron. The original Icosahedron has 12 vertices and 30 edges because it is made up of equilateral triangles.

Can you stellate a cube?

There are no stellations of the cube, because non-adjacent faces are parallel and thus cannot be extended to meet in new edges. There are 3 stellations of the dodecahedron: the small stellated dodecahedron, the great dodecahedron and the great stellated dodecahedron, all of which are Kepler–Poinsot polyhedra.

How many vertices does a stellated dodecahedron have?

12
In geometry, the great stellated dodecahedron is a Kepler-Poinsot polyhedron, with Schläfli symbol { 5⁄2,3}. It is one of four nonconvex regular polyhedra. It is composed of 12 intersecting pentagrammic faces, with three pentagrams meeting at each vertex.

What is a Stellated cube?

Stellating polyhedra. A polyhedron is stellated by extending the edges or face planes of a polyhedron until they meet again to form a new polyhedron or compound. The interior of the new polyhedron is divided by the faces into a number of cells.

What does a octahedron look like?

In geometry, an octahedron (plural: octahedra, octahedrons) is a polyhedron with eight faces, twelve edges, and six vertices. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex.

Which is a regular polyhedron?

A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags. A regular polyhedron is highly symmetrical, being all of edge-transitive, vertex-transitive and face-transitive. In addition, there are five regular compounds of the regular polyhedra.

Which is better a dodecadodecahedron or a dual?

The dual is a great dodecahedron. The dodecadodecahedron is a rectification, where edges are truncated down to points. The truncated small stellated dodecahedron can be considered a degenerate uniform polyhedron since edges and vertices coincide, but it is included for completeness.

How is the net of the small stellated dodecahedron made?

Net of the Small Stellated Dodecahedron The shape can be constructed by using 12 of the following shapes, folding them into 5-sided pyramids, and connecting them together as you would a regular dodecahedron. Here is the truncation sequence from the small stellated dodecahedron to its dual, the great dodecahedron.

Is the dodecadodecahedron a degenerate uniform polyhedron?

The dodecadodecahedron is a rectification, where edges are truncated down to points. The truncated small stellated dodecahedron can be considered a degenerate uniform polyhedron since edges and vertices coincide, but it is included for completeness.