If you want the software optimized to the hardware, then have AMD and intel do it. That would be a barroom brawl that might be fun to watch!

Isn't that what compilers are for? Or is that exactly what you meant - that they should provide compilers optimized for their respective hardware?

A better way to visualize a hypercube (and to draw one on paper) is as follows:

0. Start with a point. Zero dimensions. (Draw a dot.)

1. Expand each vertex in a direction you haven't used yet. (Draw a horizontal line from the dot, and put a dot at the end of it.)

Now you have a line, one dimension.

2. Expand each vertex in a direction you haven't yet, and connect them. (Draw vertical line from each dot, and a horizontal line connecting the two new dots.)

Now you have a square, two dimensions.

3. Expand each vertex in a direction you haven't yet, and connect them. Since we have run out of actual dimensions on our sheet of paper, we will have to create virtual dimentions. Sorry if I've offended a topologist, I don't know the technical terms. (Draw one diagonal line from each of the four dots of the square, to the top and right. Connect the four new dots with another square. Most of you are probably familiar with this 2D projection of a 3D cube.)

Now you have a cube, three dimensions.

4. Expand each vertex in a direction you haven't yet, and connect them. We have to create more virtual dimensions, so this might seem a little tricky. (Imagine a cube in 3D-space, and imagine what it would look like with lines protruding from the center of the cube, through each corner. Draw these eight lines, then connect their endpoints, one square on top of the cube, one square on the bottom, then four vertical lines connecting each of the two new squares.)

If you did it correctly, you should end up with what looks like a cube, encased within a larger cube, with lines from the corners of the inner cube to the corresponding corners of the outer cube.