Photos of Interactive Mathematics Miscellany and Puzzles
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Four congruent circles and golden parallelogram Four circles (O1), (O2), (O3), (O4) are congruent and arranged as following: Two circles (O1), (O2) are passing through centers each other. One of their intersection is P. P is under line O1O2.... Two circles (O3), (O4) are passing through centers each other. One of their intersection is Q. Q is upper line O3O4. (O2) is external touching with (O3), (O4) (O3) is external touching with (O1), (O2) Four lines PO1, PO2, QO3, QO4 form a parallelogram PAQB See diagram! Results: Centers of four circles divide sides of parallelogram by golden ratio. Ratio of two sides and ratio of two diagonals of parallelogram are also golden. See More |
