the concept of 4-D
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If you think about a rectangle, that has two dimensions: height, and width. A brick has three dimensions, height, width, and depth. But every side of a brick is a rectangle with only height and width. So you put together 6 two dimensional rectangles and get a three-dimensional brick.
Well, what if we could do the same, but with bricks? What is a shape that has height, width, depth, and a fourth dimension? Could we put together several bricks (or cubes, or pyramids) and have each act as a ‘side’ of a shape that has four dimensions? The answer is no, at least not in the three-dimensional space that we perceive. But the math works. You can do geometry for shapes that have four (or even more dimensions).
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