About: Spiral length   Sponge Permalink

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The length of the polygonal spiral is found by noting that the ratio of inradius to circumradius of a regular polygon of sides is The total length of the spiral for an n-gon with side length is therefore Consider the solid region obtained by filling in subsequent triangles which the spiral encloses. The area of this region, illustrated above for n-gons of side length , is The shaded triangular polygonal spiral is a rep-4-tile. File:Square pyramid.png This geometry-related article contains minimal information concerning its topic. You can help the Mathematics Wikia by adding to it.

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  • Spiral length
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  • The length of the polygonal spiral is found by noting that the ratio of inradius to circumradius of a regular polygon of sides is The total length of the spiral for an n-gon with side length is therefore Consider the solid region obtained by filling in subsequent triangles which the spiral encloses. The area of this region, illustrated above for n-gons of side length , is The shaded triangular polygonal spiral is a rep-4-tile. File:Square pyramid.png This geometry-related article contains minimal information concerning its topic. You can help the Mathematics Wikia by adding to it.
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abstract
  • The length of the polygonal spiral is found by noting that the ratio of inradius to circumradius of a regular polygon of sides is The total length of the spiral for an n-gon with side length is therefore Consider the solid region obtained by filling in subsequent triangles which the spiral encloses. The area of this region, illustrated above for n-gons of side length , is The shaded triangular polygonal spiral is a rep-4-tile. File:Square pyramid.png This geometry-related article contains minimal information concerning its topic. You can help the Mathematics Wikia by adding to it.
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