Dodecahedrons are polyhedra with 12 faces. Each face is a pentagon. Icosahedrons are polyhedra with 20 faces, each face is an equilateral triangle. These truncated nets are like pyramids that have had the ends chopped off.

Platonic Solids. Copyright © 2024 Rod Pierce

There are 43380 distinct nets for the icosahedron, so I don't expect you to find them all! An icosahedron can be thought of as ten triangles going round the 'equator', with five at the 'north pole' and five at the 'south pole'.

MATHIGON ORIGAMI THE ICOSAHEDRON (NET) 20 Faces (Triangles) 30 Edges 12 Vertices more on mathigon.org/origami/ © Mathigon.org

An icosahedron can be made using a geometric net. A net is a two-dimensional shape in geometry that takes on a three-dimensional appearance when folded in a particular way. Folding the following geometric nets shown below will result in the formation of an icosahedron.

The Net of the Icosahedron An icosahedron has 43,380 distinct nets. These are all the ways 20 equilateral triangles can be arranged to fold into the icosahedron.

The surface area of an icosahedron can be represented as a shape net area. The icosahedron surface area can be defined as the area of one of the icosahedron's sides. This is the area of a regular triangle, multiplied by 20.

May 6, 2016 · Use the buttons below to print, open, or download the PDF version of the Net of an Icosahedron math worksheet. The size of the PDF file is 25523 bytes . Preview images of the first and second (if there is one) pages are shown.

An icosahedron has 20 equilateral triangular faces. It is one of the five Platonic solids. See general instructions for making polyhedra from nets.