By Hamid Naderi Yeganeh
The history of mathematics is closely tied to the histories of different civilizations around the world. Hence, I believe mathematics is a useful tool to exchange messages of friendship and love between nations.
The heart shape is the most popular symbol for love. That’s why the
heart-shaped region of Pluto is very attractive for us. And it is a pleasure to find mathematical curves that resemble the heart shape. Without a doubt, there are an infinite number of mathematical equations that generate
heart-shaped curves. The most famous
heart curve is the
cardioid. You probably have seen a cardioid on the surface of a cup of milk or coffee. The name “cardioid” is derived from the Greek word καρδιά, meaning “heart”. This name was chosen by the Italian mathematician
Giovanni Salvemini (1708 – 1791). However, the cardioid is not the most beautiful heart-shaped mathematical curve. We can find better heart curves which are defined by
implicit or
parametric equations. In this post, I would like to share a few heart curves generated by the trigonometric functions sine and cosine. They are described by parametric equations:
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Heart Curve (1) (Credit: Hamid Naderi Yeganeh)
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| Heart Curve (2) (Credit: Hamid Naderi Yeganeh) |
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| Heart Curve (3) (Credit: Hamid Naderi Yeganeh) |
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| Heart Curve (4) (Credit: Hamid Naderi Yeganeh) |
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| Heart Curve (5) (Credit: Hamid Naderi Yeganeh) |
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