Magic Designer An easy-to-use program that uses trigonometry to figure out how to draw the designs of the toy with the same n
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Magic Designer Description

This computer program is an exact emulation of a toy which was sold years ago called Magic Designer. It also once had the name Hoot Nanny. It is made out of metal and comes with circular paper and colored pens. Magic Designer is an easy-to-use program that uses trigonometry to figure out how to draw the designs of the toy with the same name. Without getting too technical this is how it works: To draw a design, the paper is rotated a full circle. The position of the pen moves around due to the motion of the gears. The program takes many samples and asks, where is the pen at this point? Because the number of pixels is not infinite (typical computers have 1024 by 768 or 800 by 600) a finite number of samples is all that is needed to get the maximum possible accurate drawing. The length of the two arms is known and the position of the pegs (which are those pins standing on the gears) is calculated relative to a common center. Then, one of the possible two points where the circles made by those two arms swinging around their pegs (imagine that the arms were not connected to one another) intersect, is where the pen is located at that moment. This becomes a colored pixel.

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