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Image: ubuntu2204
Kernel: SageMath 9.7

Valentine's Day with SageMath -🫀 💙 🤎 👩‍❤️‍👨 💝👩‍❤️‍👩 👨‍❤️‍👨 😘

See sage docs.

f(x,y,z) = (x^2+(9/4)*y^2+z^2-1)^3-x^2*z^3-(9/80)*y^2*z^3 show(f)

(x,y,z)  x2z3980y2z3+164(4x2+9y2+4z24)3\displaystyle \left( x, y, z \right) \ {\mapsto} \ -x^{2} z^{3} - \frac{9}{80} \, y^{2} z^{3} + \frac{1}{64} \, {\left(4 \, x^{2} + 9 \, y^{2} + 4 \, z^{2} - 4\right)}^{3}

x,y,z = var ('x','y','z') w = 1.5 implicit_plot3d(f == 0, (x,-w,w),(y,-w,w),(z,-w,w), plot_points=80, color='red', smooth=False, frame=False)
Graphics3d Object