Daily Equation #3 - Spiral r = a*theta

Daily Equation #3 - Spiral r = a*theta

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Day 3 features polar coordinates, providing symmetrical curves through distance definition via angle. Polar equations are advantageous as they allow multiple y values for one x value without complex methods. The first equation is r = atheta, a simple version of Archimede's spiral. This equation controls spiral distance with 'a' and rotation with 'b'. Archimedean spirals have real-world applications like scroll compressors. For the design, units are in mm, a = 1/18 for a 100 mm diameter after 5 turns, and the range of theta is 5 to 1800. The STL file resizes x axis to 100mm. Expect one equation daily until interest wanes or feedback suggests otherwise. Note, technical issues may arise in areas of rapidly changing slope.

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