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 Unit lengths from movable points to unit triangles. (Posted on 2009-09-14)
Given A=(a,0), B=(0,0), and C=(0,a)
Let f(a)=the total number of unit equilateral triangles XYZ that can be formed such that the lengths AX, BY, and CZ are all 1 unit.

Give a piecewise definition by intervals for f(a)

 No Solution Yet Submitted by Jer No Rating

 Subject Author Date You have about as much as I do. Jer 2009-09-15 10:25:18 re(2): more precision Charlie 2009-09-15 00:30:43 re(2): more precision Daniel 2009-09-15 00:05:21 re: more precision Charlie 2009-09-14 23:43:16 computer exploration Charlie 2009-09-14 23:17:34 more precision Daniel 2009-09-14 23:10:21 intervals to 2 digits of precision (more to come) Daniel 2009-09-14 22:31:07 re(2): initial constraints (a start) Daniel 2009-09-14 22:26:20 re: initial constraints (a start) Charlie 2009-09-14 19:43:49 Initial numerical results Daniel 2009-09-14 19:32:55 initial constraints (a start) Daniel 2009-09-14 18:17:15

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