# Ngô Quốc Anh

## November 5, 2011

Filed under: Giải Tích 2, Giải Tích 5, Liên Kết — Tags: — Ngô Quốc Anh @ 0:26

This is not mathematics. I just found an equation so that we can draw a heart in 3D. Indeed, the following equation

$\displaystyle {\left( {{x^2} + \frac{9}{4}{y^2} + {z^2} - 1} \right)^3} - {x^2}{z^3} - \frac{9}{{80}}{y^2}{z^3} = 0$

will generate a heart. I have tried and the following pictures show that fact.

The MuPad code I have used is the following

plot(plot::Implicit3d((x^2+9/4*y^2+z^2-1)^3-x^2*z^3-9/80*y^2*z^3=0, x = -1.3 .. 1.3, y = -1.3 .. 1.3, z = -1.3 .. 1.3, Mesh = [21, 10, 10], AdaptiveMesh = 3), Axes = None, Scaling = Constrained)

I have also made an GIF file, you can watch it from here .

3. […] Essa é uma superfície dada pela equação $$(x^2+frac{9}{4}y^2+z^2-1)^3-x^2.z^3-frac{9}{80}y^2.z^3=0$$ Fonte: https://anhngq.wordpress.com/2011/11/05/mupad-heart-in-3d/ […]