Interactives from the National Library of Virtual Manipulatives Platonic Solids
A Platonic solid is a polyhedron whose faces are identical regular polygons. The ancient Greeks were able to show that there are exactly five such Platonic solids. This virtual manipulative allows you to display, rotate, and resize Platonic solids. It also allows you to select vertices, edges, and faces, and observe that the number of vertices minus the number of edges plus the number of faces is always equal to 2 (Euler's formula).
Using this virtual manipulative you may:

Rotate the Platonic solid

Count the faces, edges or vertices of the Platonic solid

Display different Platonic solids

Clear (uncolor) counted items

Show the wire frame version of a Platonic solid

Change the size of a Platonic solid

Platonic Solids - Slicing
This virtual manipulative displays a Platonic solid on the left and on the right the outlined cross-sectional slice formed by a plane cutting through the solid.
Using this virtual manipulative you may:

Change the depth of the slice through the solid

Rotate the solid

Hide the portion of the solid on one side of the slicing plane

Interactives from the National Library of Virtual ManipulativesPlatonic Solids

A Platonic solid is a polyhedron whose faces are identical regular polygons. The ancient Greeks were able to show that there are exactly five such Platonic solids. This virtual manipulative allows you to display, rotate, and resize Platonic solids. It also allows you to select vertices, edges, and faces, and observe that the number of vertices minus the number of edges plus the number of faces is always equal to 2 (Euler's formula).

Using this virtual manipulative you may:

- Rotate the Platonic solid
- Count the faces, edges or vertices of the Platonic solid
- Display different Platonic solids
- Clear (uncolor) counted items
- Show the wire frame version of a Platonic solid
- Change the size of a Platonic solid

Platonic Solids - SlicingThis virtual manipulative displays a Platonic solid on the left and on the right the outlined cross-sectional slice formed by a plane cutting through the solid.

Using this virtual manipulative you may: