Turning Needle Cars. Francis Hunt [email protected] A Vision of the Future. Area swept out = π (½) 2 = π /4. Turning round in π /8. Turning round in π /8. Turning round in π /8. Turning round in π /8. What is the least possible area?. Turning round in ε. Idea 1
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Area swept out = π(½)2 = π/4
What isthe least possible area?
Divide height into m + 2 equal bands
area of shape has been reduced by a factor of 2/(m+2)
By choosing m large enough we can make this arbitrarily small