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 Vault inception in 1998, Toy Vault acquired a license from Tolkien Enterprises to produce plastic figures based on the "Lord of the Rings". This was the first series of action figures ever produced based purely on a literary property. Rob Rooney "The Road Less Traveled" 1999 available at http://actionfigures.about.com/library/weekly/aa011899.htm. Toy Vault Toy Vault, Inc. was founded in 1998 and is a designer and manufacturer of plush toys, plush apparel, board games and other novelty items. Perhaps best known for their Monty Python toys, Toy Vault also holds licenses for such properties as Godzilla, "The Princess Bride", Jim Henson's "Labyrinth", KISS, "Trigun"