This diagram shows how it is possible to distribute the
consecutive series 1-to-12 around a hexagon, one number to each
node, in such a way that each straight line of three numbers totals
to a constant of 22. Discovering this layout formed the basis of
our puzzler of May 20 earlier this year. Subsequently several
readers pointed out two alternative layouts.

Later computer analysis brought forth a unique layout where the
constant is 21 rather than 22. Finding this is this week's problem.
For working purposes, assume the 12 is already positioned on the
top node, as before.
Find the solution online >>