I came across this equation while surfing through the internet.Is this for real?If it is how is it done?
2026-04-05 17:11:57.1775409117
Is this graph plot for real?
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Yes, it's real. You can try plotting it for yourself in Wolfram Alpha or some similar package. If your plotting package doesn't support polar coordinates, then you can convert to parametric equations in a rectangular coordinate system: $$ x(\theta) = r(\theta)\cos(\theta) \quad ; \quad y(\theta) = r(\theta)\sin(\theta) $$
There is even a well-known curve known as a cardioid, which is fairly similar to your heart-shaped one. If you have been the victim of a classical education, you will know that "cardio" means "related to the heart".