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).
The Toy Shop The Toy Shop The Toy Shop is an exhibit building at Shelburne Museum, which is located in Shelburne, Vermont. Toy Shop houses 19th- and early 20th-century playthings, including miniature transportation toys, penny banks, and music boxes. The Shelburne Museum built the Toy Shop in the early 1950s as an extension to Variety Unit. Built in 1835, Variety Unit, the only structure original to the Museum grounds, is an example of “continuous” architecture common to New England farmhouses. As more space was needed, farmers added new wings to their house. Farmers would merge farm and household buildings in one continuous structure