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.
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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.
GEdgar
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In the book he doesn't give equations, just points and how to fill in between those points using calligraphic functions – Euler_Salter Aug 26 '22 at 16:29