ELI5: Explain Like I'm 5

Schwarz triangle map

Oh hello there! Today we are going to talk about the schwarz triangle map, which is a very interesting way of looking at shapes and patterns.

Imagine you have a triangle, which is a shape with three sides. Now let's divide this triangle into smaller triangles by drawing three lines from each corner to the opposite side. We call these lines "trisectors".

Now, in the middle of each small triangle, we draw another triangle. We keep doing this over and over again, making smaller and smaller triangles, each nestled inside the previous one.

What we end up with is a very intricate and detailed pattern of triangles, all nestled inside each other like a Russian doll. This is called the schwarz triangle map.

The cool thing about the schwarz triangle map is that no matter how much we zoom in and look at the tiny details, the pattern keeps repeating itself over and over again. It's like a never-ending fractal!

Scientists and mathematicians use the schwarz triangle map to study geometric patterns and shapes. They also use it to map out how light and sound waves move through different materials, like crystals.

So there you have it, the schwarz triangle map in all its geometrical glory!