Oscarlevin: Created page with "Is it possible to label each of the edges of a regular cube (see figure below) with distinct positive integers (i.e. > 0) in such a way that: (a) the sum of the integers ass..."

2013-09-01T16:28:38Z

Created page with "Is it possible to label each of the edges of a regular cube (see figure below) with distinct positive integers (i.e. > 0) in such a way that: (a) the sum of the integers ass..."

New page

Is it possible to label each of the edges of a regular cube (see figure below) with distinct positive integers (i.e. > 0) in such a way that:

(a) the sum of the integers assigned to the three edges at any corner is the same for each of the eight corners; and

(b) the sum of the integers assigned to the four edges of any face is the same for each of the six faces.

If so, give a labeling with the smallest possible labels.

{{Bpow}}

Draft:Bpow1997-15 - Revision history

Oscarlevin: Created page with "Is it possible to label each of the edges of a regular cube (see figure below) with distinct positive integers (i.e. > 0) in such a way that: (a) the sum of the integers ass..."