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Star of Lakshmi


StarofLakshmi

The Star of Lakshmi is the star figure {8/2}, that is used in Hinduism to symbolize Ashtalakshmi, the eight forms of wealth. This symbol appears prominently in the Lugash national museum portrayed in the fictional film The Return of the Pink Panther.

StarofLakshmiArea

The interior of a Star of Lakshmi with edges of length a is a regular octagon with side lengths

 a^'=(sqrt(2)-1)a.
(1)

The areas of the intersection A_1 and union A_2 of the two constituent squares are

A_1=2(sqrt(2)-1)a
(2)
A_2=2(2-sqrt(2))a.
(3)

See also

Dissection, Hexagram, Pentagram, Polygram, Star Figure, Star Polygon

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References

Savio, D. Y. and Suryanaroyan, E. R. "Chebyshev Polynomials and Regular Polygons." Amer. Math. Monthly 100, 657-661, 1993.

Cite this as:

Weisstein, Eric W. "Star of Lakshmi." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StarofLakshmi.html

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