Polygonal Spiral
The length of the polygonal spiral is found by noting that the ratio of Inradius to Circumradius of a regular Polygon of 
sides is
 | (1) |
-gon with side length 
is therefore | (2) |
Consider the solid region obtained by filling in subsequent triangles which the spiral encloses. The Area ofthis region, illustrated above for -gons of side length , is
 | (3) |
References
Sandefur, J. T. ``Using Self-Similarity to Find Length, Area, and Dimension.'' Amer. Math. Monthly 103, 107-120, 1996.
- Genus (Surface)
- Genus Theorem
- Geocentric Latitude
- Geodesic
- Geodesic Curvature
- Geodesic Dome
- Geodesic Equation
- Geodesic Flow
- Geodesic Triangle
- Geodetic Latitude
- Geographic Latitude
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- Geometric Probability Constants
- Geometric Problems of Antiquity
- Geometric Progression
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- Geometrization Conjecture
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- Geometry
- Gergonne Line
- Gergonne Point