How to Draw a hypercube

This clip shows how you can draw a hypercube, which is a complex shape composed of cubes. You start with a series of equally spaced horizontal lines. Then you draw a vertical line from the origin (o, o, o). From the same point, you draw a horizontal line of the same length and two more lines at 45 degrees and 135 degrees from the horizontal. The vertical line and the 45 degree line form two of the vertices of one of the cubes. The vertical line and the 135 degree line form two of the vertices of another cube, intersecting the first. You can build up to the full shape from this point, adding lines of the same length and matching the angle of the originals, until the whole shape is complete.