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Math Forum » Discussions » Math Topics » geometry.pre-college.independent

Topic: Reuleaux triangle, Reuleaux drill
Replies: 25   Last Post: May 1, 1995 8:18 AM

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ArmyCal@aol.com

Posts: 4
Registered: 12/6/04
Re: Reuleaux triangle
Posted: Apr 17, 1995 7:39 AM
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>Can this triangular drill bit be modelled in Sketchpad or Cabri? Anyone
>here tackled it? Or should I get the book and give it a try?

Well, I spent this cold & snowy(!) Saturday trying to model it. The chapter
by Rademacher and Toeplitz in "The Enjoyment of Math" gives only minimal
information, mostly on the construction of curves of constant breadth and
properties thereof.
The construction of the bit itself is trivial, it is the rotation of the bit
that is the problem - in order for it to rotate inside a square, the centre
of rotation itself must move, and not in any standard (i.e. easy to animate)
orbit. If you've made or found a sketch please let me know! I'll keep
struggling...

Calvin Armstrong
Stanstead College
Quebec, Canada

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