SpiroGraph
A hypotrochoid {1,6/13,h} with parameter h varing from .15 to 1.3. Each image is scaled so they all fit the display boundary.
SpiroGraph
A illusion created by superimposing two hypotrochoids {1,1/7,2} rotating in opposite direction.
Flashing Illusion
"Snowflake". Based on catacaustic of a changing epitrochoid {1,1/6,h} with light source at the center. The one on the right shows detail at the center.
Snowflake 1
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Snowflake 2
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"Flashing Diamond" and "SuperNova". Both based on evolute of a hypotrochoid with varing parameter h. ({1,1/4,h} and {1,3/7,h})
Flashing Diamond
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SuperNova
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Inverse of a quadrifolium {1, 1/4, 3/4} with respect to its center, and increasing radius of inversion. The resulting curve is a Cotes' spiral. (the red dots)
Rose and Cotes' spiral
Wikipedia: spirograph↗.
© 1995-2008 by Xah Lee.
