Rosa Mathematica

grabcad

This unique design originates from my early fascination with polar coordinates and functions in mathematics. Polar coordinates represent points on a plane using radius and angle, while a polar function is based on the radius and dependent on the angle. I was captivated by the aesthetically pleasing swirls and spirals of these functions, leading me to experiment with their artistic potential in class. The design's equation is a rose curve, characterized by its resemblance to flowers: radius equals 3 plus 0.375 times sine of seventeen-twelfths angle (in inches and radians, respectively). This translates to a circle of 3-inch diameter with a thickness of 0.75 inches as the central curve, a rose curve with 17 "petals" and making 12 complete circles. I aim to showcase mathematics' hidden beauty through this design, which can be printed as verified by U-M Printing Services quote.