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
  • Change the Platonic solid displayed