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Fermat's Spiral and the Line Between Yin and Yang.
- Source :
-
American Mathematical Monthly . Nov2010, Vol. 117 Issue 9, p786-800. 15p. - Publication Year :
- 2010
-
Abstract
- The article focuses on the Fermat's spiral, the distinctive yin-yang line in the class of curves algebraic in polar coordinates. It says that yin-yang is a concept that came from ancient Chinese philosophy. Hence, to prove Fermat's spiral, D denote a disk of unit area wherein set A ⊂ D if it measures ½ and the maximum symmetric subset of A measure ¼. It adds that β divides into two congruent set, it intersects each concentric of D twice and in each radius of D once.
Details
- Language :
- English
- ISSN :
- 00029890
- Volume :
- 117
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- American Mathematical Monthly
- Publication Type :
- Academic Journal
- Accession number :
- 55337573
- Full Text :
- https://doi.org/10.4169/000298910X521652