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G4G8 Exchange Book

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This square, composed of familiar words, is semimagic because any row or column (the rook sweeps) anagrams into STENOGRAPHIC. "Semi" means the diagonals don't. However, there are four very special diagonals; those that have words with one of the four vowels of STENOGRAPHIC in common. These four bishop sweeps will be important later. Keeping with the chess piece theme, the reader will take notice of the knight 4-tours using the consonants P, H, Rand C. For example one of these is the P-tour SAP, PEG, PIN and TOP. Another set of knight tours traces the letters S, T, G and N.


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.