File:Astroid2.gif · Wikimedia Commons · See Wikimedia Commons
hypocycloid
Sign in to savethumb|460px|The red path is a hypocycloid traced as the smaller black circle rolls around inside the larger black circle (parameters are R=4.0, r=1.0, and so k=4, giving an astroid). In geometry, a hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle. As the radius of the larger circle is increased, the hypocycloid becomes more like the cycloid created by rolling a circle on a line.
Wikidata facts
- Subclass of
- cycloidal curve
- Image
- Astroid2.gif
Show 3 more facts
- maintained by WikiProject
- WikiProject Mathematics
- Commons category
- Hypocycloid
- opposite of
- epicycloid
Sources (1)
via Wikidata · CC0
~6 min read
Encyclopedic overview
10 sectionsContents
- History
- Properties
- Examples
- Relationship to group theory
- Derived curves
- Hypocycloids in popular culture
- See also
- References
- Further reading
- External links
thumb|460px|The red path is a hypocycloid traced as the smaller black circle rolls around inside the larger black circle (parameters are R=4.0, r=1.0, and so k=4, giving an astroid). In geometry, a hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle. As the radius of the larger circle is increased, the hypocycloid becomes more like the cycloid created by rolling a circle on a line.
==History==
Excerpted from Wikipedia’s “hypocycloid” article, available under the CC BY-SA 4.0 licence.