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Twin squares

For my birthday, my wife Astrid made identical sets of cards. On each card a letter of ASTRIDOWEN is displayed, together with its own characteristic digit chosen from 0-9. On the day, Astrid’s sister Enid sat on our three-seater settee with our twins Eden and Toni and, when they held up the cards with their respective names, the numbers on the cards satisfied

ENID2 = EDENTONI (read off as an eight-digit number).

When my brother Ewan arrived, we found that

EWAN2 = TONIEDEN.

The twins then made up a set of cards for their “taid” (Welsh grandfather).…

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