ELI5: Explain Like I'm 5

Deltoid curve

The deltoid curve is a fancy math thingy that looks like a bubble or a circle made up of three parts. Imagine you are drawing with a big pen on a piece of paper, starting with a dot in the middle of the page. Then, you draw a smaller circle around that dot. Next, you draw two more circles with the same size and distance apart from each other, but with their centers on the line that passes through your original dot.

Now comes the cool part: the curve you get is called the deltoid curve! It is made up of three parts, just like the three circles you drew. One part follows the first circle, another follows the second circle, and the third part follows the third circle.

You may be asking yourself, "Why is that cool?" Well, the deltoid curve has some fascinating properties that mathematicians love to study. For example, if you trace along the curve, you will always end up right where you started. Whoa!

But wait, there's more. The deltoid curve is also what's called a hypocycloid, which means it can be used to create some pretty cool patterns like gears in machines or even the wheels on your bike!

In summary, the deltoid curve is a fancy shape made up of three circles that mathematicians think is really cool because it has some neat properties and can be used to create patterns.
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