Model: R06 Circular Plate Rolling on a Cone

- imagemovie

This series of models was designed to illustrate the space curves generated by the rolling of cones on cones. In this model one of the "cones" is a circular plate whose conical angle is 180 degrees. The space curves are represented by bronze wire. One path is generated by a point on the rolling plate while the other space path is generated by a point normal to the plate indicated in the model with an arrow. This model can be seen in motion a QuickTime animation.

Francis Moon 2003-05-29

#### Reference :

- Henderson, Taimina : Experiencing Geometry (ch.21, 2005)

#### Resources :

- Movie : R06a. Circular Plate Rolling on a Cone
- Movie : Reuleaux r6 swf
- Tutorials and Descriptions : R Series: R01-07. Spherical Cycloids and Involutes