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G4G8 Exchange Book

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The black nodes mark the corners of an octagon and each of these nodes in connected to four others by lines. The (rather hard) puzzle is to assign the sixteen numbers 0 through 15 to each of the sixteen lines so that each black node has a sum of 30 when the line numbers leading into it are added.

The word version of the puzzle was described in the article "Most-Perfect Word Magic", Oscar Thumpbindle, Word Ways Vol. 40(4). Nov. 2007.


This is an electronic copy of a paper originally appearing in the G4G8 Exchange Book. Archived with permission. The author(s) reserves all rights.


Gathering for Gardner inspires fun and wonder for recreational mathematics, magic, puzzles, and art. The G4G Gift Exchange is an integral part of the Gathering 4 Gardner meetings. Each attendee is asked to participate in the G4G Gift Exchange.

The G4G Exchange Book is for those who wish to submit papers as their exchange gift and also for those who wish to include descriptions, instructions, solutions etc. related to their physical gifts.

Related Works:
"Most-Perfect Word Magic" can be found online at: