Table of Contents

## 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 Stellated dodecahedron have?

12

. It has 12 pentagrammic faces.

## How do you make a good icosahedron?

Building Polyhedra: Great Icosahedron

- You will need:
- Cut out the net.
- Score the net along each line.
- Pre-fold the net.
- Use the toothpick to spread a thin line of glue along one edge of the net as shown.
- Fold the small triangle back so it meets edge-to-edge with the edge you just glued.

## How many triangles are in a great dodecahedron?

The great dodecahedron has 12 faces (pentagons), 30 edges, 20 vertices. The great icosahedron has 20 faces (equilateral triangles), 30 edges, 12 vertices.

## How many edges does a regular dodecahedron have?

30 edges

A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of 12 regular pentagonal faces, three meeting at each vertex. It is one of the five Platonic solids. It has 12 faces, 20 vertices, 30 edges, and 160 diagonals (60 face diagonals, 100 space diagonals).

## Which is a regular polyhedron?

A regular polyhedron is a solid (convex) figure with all faces being congruent regular polygons, the same number arranged all alike around each vertex.

## Can a polyhedron have 10 faces?

Hence,a polyhedron can not have 10 faces,20 edges and 15 vertices.

## Can a pyramid have 5 sides?

In geometry, a pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point (the vertex). Like any pyramid, it is self-dual. The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles.

## How many faces does the small stellated dodecahedron have?

In geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {5/2,5}. It is one of four nonconvex regular polyhedra. It is composed of 12 pentagrammic faces, with five pentagrams meeting at each vertex.

## 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 small stellated dodecahedron similar to the pentagram?

The small stellated dodecahedron can be constructed analogously to the pentagram, its two-dimensional analogue, via the extension of the edges (1-faces) of the core polytope until a point is reached where they intersect.

## 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.