Hypocycloid prove that an epicycloid with "k" cusps moves snugly inside one with "k"+1 cusps. The evolute of a hypocycloid is an enlarged version of the hypocycloid itself, while the involute of a hypocycloid is a reduced copy of itself. The pedal of a hypocycloid with pole at the center of the hypocycloid is a rose curve. The isoptic of a hypocycloid is a hypocycloid. Curves similar to hypocyloids can be drawn with the Spirograph toy. Specifically, the Spirograph can draw hypotrochoids and epitrochoids. The Pittsburgh Steelers' logo, which is based on the Steelmark, includes three astroids (hypocycloids of four cusps).
Toy Town Museum Toy Town Museum The Toy Town Museum is located on the Fisher-Price campus in East Aurora, New York. It was conceived by a group of local citizens in East Aurora and Western New York to help celebrate the toy making heritage in the area. There have been over 100 toy companies throughout Western New York over the past 100 years and the museum's exhibitions attempt to educate and entertain visitors. As of May 2009, the museum is no longer open to the public or located on the Fisher-Price campus, but is seeking a new location. The Fisher-Price Archive Collection -