* Fun With SAS ODS Graphics: Easter Egg Equation Hunt References 1. What is mathematical equation for an egg? (Quora) https://www.quora.com/What-is-mathematical-equation-for-an-egg 2. Equation of Egg Shaped Curve of the Actual Egg is Found (Nobuo Yamamoto) http://www.geocities.jp/nyjp07/index_egg_E.html 3. Solution for (x^2+y^2)^2 = x^3+(3/10)xy^2 (Wolfram) http://www.wolframalpha.com/input/?i=(x%5E2%2By%5E2)%5E2+%3D+x%5E3%2B(3%2F10)xy%5E2 4. The Colors of Easter https://www.lifewire.com/the-colors-of-easter-4126619; data egg; * Use formula to create "Easter egg" polynomial points; id=1; do x=0 to 1 by .0001; y = sqrt(-20*x**2 + sqrt(280*x + 9)*x + 3*x)/(2*sqrt(5)); output; end; do x=1 to 0 by -.0001; y = -sqrt(-20*x**2 + sqrt(280*x + 9)*x + 3*x)/(2*sqrt(5)); output; end; ods graphics / antialias ANTIALIASMAX=20100; * Polygon plot of "Easter egg"; proc sgplot data=egg aspect=1 nowall noborder; styleattrs backcolor=cxffffe0; polygon x=y y=x id=id / nooutline fill fillattrs=(color=cxdda0dd) transparency=.4; * Change orientation (x=y, y=x); yaxis reverse display=(noline noticks novalues) label="HAPPY EASTER!" labelattrs=(size=30pt color=cx40e0D0 weight=bold); xaxis display=none; refline .1 to .9 by .1 / lineattrs=(color=cxffffe0 thickness=2pt) axis=y; * Easter egg "stripes"; run;
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