Leonard the Turtle I chose to draw a tip all over for my final project because I needed something to give to my protagonist for graduation, and this gave me an excuse to draw one. I used several types of equations, including parabolas, ellipses, lines, circles, and sin and cosine curves. After at function figured give away what everything looked like, the only when hard part leave was the animation. I got a little help with the program for the animation, just now the bulk if this project was done by me. I named the turtle Leonard because that was the initiation name that pooped into my head when I was asked if he had a name. The starting signal-year thing I had to do was fuck off the first look done and copied, after that; it is just manipulating two or three equations to animate it. Here are the equations for the first moving visualize: Part of Leonard         Equation         Type of equation Top of adopt words         Y1= [-1/10(X)2+2]/ (X? -5 and X? 4         Parabola Bottom of Shell         Y2= [-1/20(X)2+1.2]/ (X? -4 and X? 4         Parabola Tail         Y3= (-.433)/ (X? -4.9 and X? -3.9)         Line Back of understructure Fin         Y4= Cos(5/8X +1) -1/ (X? -5.45 and X? -3.45)         Cosine Curve mien of rump Fin         Y5= Sin(5/8X +1.1) -1/ (X? -5.45 and X? -1.81)         Sine Curve former of front line Fin         Y6= Cos(5/8X +1) -1/ (X? 1.13 and X? 4.
6)         Cosine Curve Back of Fro nt Fin         Y7= Sin(5/8X +1.! 1) -1/ (X? 2.9 and X? 4.6)         Sine Curve Top of orient         Y8= ?( 1- .1(X -4)2/ .05) -.5         Ellipse Bottom of Head         Y9= -?( 1- .1(X -4)2/ .05) +.5         Ellipse After graphing the equations, the picture looked like this: At this point, the draftsmanship itself became a little easier. The only thing I unfeignedly had to do was manipulate the last three equations, If you want to get a full essay, methodicalness it on our website:
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