5 dimensional hypercube and its links

Question

I have a question regarding hypercubes. Please help me answer this.

How many nodes does a d-dimensional hypercube have and what is its diameter? Draw a single node in this architecture for d = 5 and show all of its links.

Answer 1

2^d nodes with diameter, the major diagonal, of sqr d * length of edge. As a kid I drew hypercubes. Start with a point and move it. Then move that line. Move that square and get a perspective of a cube. Now move that cube in yet another direction on the paper. It helps to use a different color for each move. Alas, I did not keep my work. I quit at four. As for five as you reqested, I'll let you continue to the fifth move. Thus you'll see all the links of a node. There are d.