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40.5 Edge-magic pentagram 1021


40.5 Edge-magic pentagram


It is known that the pentagram cannot be labelled with the numbers 1, 2,
..., 10without repetition such that the sum of the four numbers along
each line is constant.


However, given the labelling of the five inner vertices below, it is
possible to label the five outer vertices such that the sum of the four
vertices along each of the five edges is constant. Find such a labelling
with minimum edge sum.


1

3

2 5

4
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