Are there any known parametric equations for the club and spade suits on playing cards?

Question

Just out of curiosity, so that I could plot them in a program. I am able to plot diamonds using superellipses and Wolfram Mathworld has some good equations for hearts. I can't find anything for clubs or spades, however.

Answer 1

TeX has the four suit glyphs, in font cmsy. You can find the code in

Knuth, Donald E., Computer Modern typefaces, Computers & Typesetting. Vol. E. Reading, Massachusetts etc.: Addison Wesley Publishing Company. XV, 588 p. (1986). ZBL0609.68005.

and see what equations were used for these shapes. Unlike most font designers, Knuth published his source code.