Tag: spirographs

  • Spirographs 3

    This is the third in a multi-part series on spirographs. It might be helpful to review part 1 and part 2 first. Review In the first two parts, I discussed the parametric equations for drawing a spirograph and rewrote these equations using coefficients that can vary independently to adjust the size of the design, the…

  • Spirographs 2

    This is part 2 of a multi-part series. If you haven’t read the first part, it may be helpful to review it first. The problem with the standard formulas The standard formula for an epitrochoid is: The problem with this formula is that adjusting r or d to form new designs changes the overall size…