Rolling Circles and Polygons

Steve Phelps, CTA MATH, Nov 29, 2015

Table of Contents

  1. Rolling on Lines
    1. Rolling Circle
    2. Rolling Equilateral Triangle
    3. Rolling Square
    4. Comparing the Three Rolling Figures
    5. Generalized Rolling Polygon
  2. Rolling on Things Other Than Lines
    1. A Circle Rolling on a Circle

1.

Rolling on Lines

  • 1. Rolling Circle
  • 2. Rolling Equilateral Triangle
  • 3. Rolling Square
  • 4. Comparing the Three Rolling Figures
  • 5. Generalized Rolling Polygon

1.1.

Rolling Circle

– Steve Phelps

1.2.

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1.3.

–

1.4.

–

1.5.

–

2.

Rolling on Things Other Than Lines

  • 1. A Circle Rolling on a Circle

2.1.

A Circle Rolling on a Circle

In the applet below, the ROLL slider will roll the blue circle around the larger circle. It works best when you use your arrow keys to move the slider.[br][br]The BIG and SMALL sliders change the radii of the circles.
– Steve Phelps

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