1. ## Unit cube questions

The unit cube Rn can be defined as:
Qn={(x1,x2,...,xn) in Rn | 0<xi<1, i=1,2,...,n)}

The vertices of Qn are points of the form (x1,...,xn) where each xi is either 0 or 1. An edge of Qn is a straight line joining two vertices that are a unit distance apart.

a) Draw a sketch of Q1, Q2 and Q3
b) Derive a formula for the number of edges in Qn
c) Check your formula for Q1, Q2 and Q3
d) How many edges are there in Q11?

Help me guys, I don't have any clue how to solve this, any response will be much appriciated

2. Originally Posted by pdnhan
The unit cube Rn can be defined as:
Qn={(x1,x2,...,xn) in Rn | 0<xi<1, i=1,2,...,n)}

The vertices of Qn are points of the form (x1,...,xn) where each xi is either 0 or 1. An edge of Qn is a straight line joining two vertices that are a unit distance apart.

a) Draw a sketch of Q1, Q2 and Q3
b) Derive a formula for the number of edges in Qn
c) Check your formula for Q1, Q2 and Q3
d) How many edges are there in Q11?

Help me guys, I don't have any clue how to solve this, any response will be much appriciated
Have a look here: Hypercube graph - Wikipedia, the free encyclopedia

3. Originally Posted by earboth
thanks a lot man