b - c
/ \ / \
d - e - f
/ \ / \ / \
g - h - i - j
Can you place the numbers 1-10 at the locations a-j on the triangle, such
that every side (abdg, acfj, ghij) has the same sum and every internal
line (bei, ceh, def) has the same sum?
Can you place the numbers 1-10 on a tetrahedron, one at each corner and
one on each edge, such that (1) each edge has the same sum,
or (2) each face has the same sum? Is it possible to do both at once?
If either is not possible, can you change one or two numbers to meet
Try to minimize the sums.