Created
July 11, 2014 15:01
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Just attempt to verify this: http://math.stackexchange.com/questions/115743/question-about-a-rotating-cube
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| (* ::Package:: *) | |
| heron[side1_,side2_,base_]:=Module[{p,s},( | |
| p=(side1+side2+base)/2; | |
| s=Sqrt[p (p-side1)(p-side2)(p-base)])] | |
| getHeight[side1_,side2_,base_]:=Module[{cos,sin,h},( | |
| cos=(side1*side1+base*base-side2*side2)/(2*side1*base); | |
| sin=Sqrt[1-cos*cos]; | |
| h=side1*sin)] | |
| makeTwoSides[t_]:={Sqrt[1+t*t],Sqrt[1+(1-t)*(1-t)]} | |
| curve=getHeight @@ (makeTwoSides[t]~Join~{Sqrt[3]})// | |
| Simplify[#,0<=t<=1]& | |
| Plot[curve,{t,0,1}] |
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