Videos: SketchUp in Action Watch the videos on this page to learn some fun and easy ways you can use SketchUp to teach 2D and 3D geometric concepts. Comments or suggestions for future videos? Please email 3DVinci's Bonnie Roskes. 
Back to the Math Forum SketchUp Home Page
Cube, Tetrahedrons, Octahedron New! Added April 14, 2010 There are many relationships between three of the Platonic solids: cube, tetrahedron, octahedron. This video highlights one of these relationships: starting wtih a cube, you can generate tetrahedrons, then uncover an octahedron. All by using a few simple SketchUp tools .

This project and other 3D 
Cube  Three Pyramids On a cube, you can draw edges starting from a single corner, to divide the cube into three identical pyramids. This video will show you how to create a cube (no measuring required), how to draw the pyramid edges, and how to use groups to separate the pyramids from their neighbors. You'll also learn how to manipulate the pyramids to prove that they are, in fact, identical.

The cube is one of the Platonic solids, and can be created in a number of ways in SketchUp. With some easy editing, the cube can be used to create some Archimedean solids. You'll find this and more in 3DVinci's 3D Solids Series:

Icosahedron The golden rectangle is an essential shape in 3D geometry. Among other things, it is a building block for many of the Platonic solids. In this video, you'll see how to create a golden rectangle, and arrange three of them in 3D space. This forms the basis for creating an icosahedron. This is a fun project; when you erase the 20 triangles, you get a starshaped surprise. And you'll learn how to paint these solids so that no color repeats along any edge or around any point.

The icosahedron and the other Platonic solids are easy to create in SketchUp. And with a few extra steps, you can derive some of the Archimedean solids as well. The books in 3DVinci's 3D Solids Series show how to create all of these objects, plus some interesting and fun derivate objects.

Conic Sections SketchUp has a great tool called Section Plane. It is used to create a 2D "slice" of a 3D object. When you start with a cone, you can place a section plane at various points and angles, to create four commonlyused 2D shapes: circle, ellipse, parabola, and hyperbola.
