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From: don.lotto on 10 Apr 2010 22:38 ** Fractal pi jubilee Puzzle. calculate Circle Diameter dn which encloses n equal non over-lapping O circles in the plane? e.g. n= 1,2,3,4,5,6, ... Although this puzzle is new to me, I consider it should be centuries old, so i won't claim priority at the minute? another related puzzle, calculate 7^n+ (extra an) non o.lapping > equal Os circles inside 3^n radius of a fixed point in plane? DSMc > click .. http://www.wolframalpha.com/ input/?i= wellington compass rose? otaki. 6 by O circles compass circle around. 7th at centre. what about 7x7 + an. ???? I've worked on this more-- subsequent to further 50min call from otaki, interesting ! thanks for your questions! sc. also platonic solids. picked up spikey ball at wellington hospital bus shelter this morning, Sunday. it may has more dimples than golf ball. the number is known, but possibly changed 10 years ago. kepler's music of the spheres astronomy, 7 planets tetrahedron [cube octahedron dual ] dodecahedron icosahedron? sun earth moon mercury venus mars jupiter saturn. EARTH + 7 ?? uranus neptune pluto chiron sedna. mnemonic?? spell. me ve ea ma ast jup sat ur nept. moon movements may adjust sun MoVEMents May AdJust SUN.**************** isn't this brilliant! even getting out of bed or an ant/flea blinking, action and reaction. cheers >> 10/4/2010. Don S. McDonald ... please 2 repeat two sentences for query or explanation/ http://www.facebook.com/MCDONewt , lower case, caution account logout Received: Sunday, 11 April, 2010, 12:36 AM |