A hypercube is a higher dimensional cube. In four-dimensions, it's also known as a tesseract.[wiki]
This page show you a simple way to think & draw in four dimensions, to expand your mind & impress your 3-dimensional peers!
A hypercube is a cube pushed through a new dimension.
It's a cube at every point along the new direction. Try to imagine that –– extruding a cube out in some direction.
You could imagine doing that upwards, inwards, outwards, left, right, or any direction we can imagine. That's the best we can do in 2 or 3 dimensions. But, a true hypercube is extending into a new (perpendicular) dimension we can't quite see.
- When drawing a cube on paper, you can draw two squares and connect them at all (4) corners with lines.
- To draw a hypercube, you simply draw two cubes and connect them at all (8) corners with lines.
You can experiment with drawing your second cube at other sizes & positions to make for interesting perspectives on the hypercube.
Try with other shapes as well: pyramids, 5-D hypercubes, etc.!