ELI5: Explain Like I'm 5

Alternated hypercubic honeycomb

Imagine a big block made up of lots of smaller blocks arranged in a pattern. Each of these smaller blocks is the same shape and size, and they fit together perfectly to make up the bigger block.

Now imagine that this pattern of smaller blocks repeats over and over again, in all directions, creating a sort of "grid" of blocks.

An alternated hypercubic honeycomb is just such a pattern. It's made up of a certain kind of block called a hypercube, which is sort of like a cube but with more sides. Each hypercube is surrounded by other hypercubes, all arranged in a specific way to create this special pattern.

The "alternated" part of the name means that not all the hypercubes are the same. Some are rotated differently than others, which creates a cool geometric effect.

So basically, an alternated hypercubic honeycomb is just a really neat way of arranging blocks called hypercubes into a repeating pattern. It may look complicated, but it's really just a bunch of blocks all fitting together in a certain way.