Through the use of internal stops, each arm is constrained to rotate a maximum of 68.75° (1/2 the Golden Angle) relative to its neighboring layer.

The Helicone™ is available at a number of retail venues including the MoMA Design store and Guggenheim Museum store in New York City. It may be found Online at momastore.org, and Amazon.com.

The Helicone is featured in an article in the New York Times.

Materials: laser-cut plywood, brass, beechwood

The Lollipopter® is a multicolored, plastic version of the Helicone™.

The Lollipopter is available at a number of retail venues, including online at Amazon.com.

Materials: polypropylene, stainless steel, ABS

The two different size gears are in a ratio of 3:4, causing the larger gears to rotate 75% as fast as the smaller gears.

Material: Laser-cut plywood, paint

HyperCycles is based on the Spirograph toy. HyperCycles is essentially a Spirograph inside a Spirograph. This configuration results in an additional periodicity, which allows for the creation of more complex curves, and less regular drawings.

HyperCycles is available for purchase at the National Museum of Mathematics' online store.

Through the use of internal stops, each layer in this tower is constrained to rotate a maximum of 15° relative to its neighboring layer.

Material: laser-cut MDF

Through the use of internal stops, each layer in this tower is constrained to rotate a maximum of 137.5° (the Golden Angle) relative to its neighboring layer.

Material: laser-cut plywood

Through the use of internal stops, each layer in this tower is constrained to rotate a maximum of 137.5° (the Golden Angle) relative to its neighboring layer.

Material: laser-cut plywood

The transformations in this tower result from Incremental Drift, wherein each layer rotates slightly faster than the layer beneath it. There are 32 layers in this tower, so the top layer must make 32 complete revolutions before the tower returns to the same state.

Internal mechanism designed and fabricated by Paul Stepahin.

Material: laser-cut plywood