ELI5: Explain Like I'm 5

Hypercomplex number

Okay, imagine you have a toy car with four wheels. You can go forward, backwards, left, and right. These are called "directions". Similarly, regular numbers have two directions, positive and negative. But what if you wanted to go diagonal, like Northeast? For that, you would need a toy car with more than four wheels!

In math, hypercomplex numbers are like toy cars with more directions than regular numbers. They have three or more directions! Just like how toy cars can move in diagonal directions, hypercomplex numbers can move in different ways.

For example, regular numbers are called "complex numbers" because they have two parts: a real part (like 3) and an imaginary part (like 2i, which is 2 times the square root of -1). Hypercomplex numbers, on the other hand, have more than two parts. Some examples are quaternions (with four parts) and octonions (with eight parts).

In a way, hypercomplex numbers let us describe and understand things that regular numbers can't. Just like a toy car with more wheels can drive over rough terrain, hypercomplex numbers can help us "drive" through complicated math problems.
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