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鈥檚 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
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EWAN2 = TONIEDEN.
The twins then made up a set of cards for their 鈥渢aid鈥� (Welsh grandfather).
What eight-digit number corresponds to TAIDOWEN?
WIN 拢15 will be awarded to the sender of the first correct answer opened on Wednesday 7 July. The Editor鈥檚 decision is final. Please send entries to Enigma 1598, New 杏吧原创, Lacon House, 84 Theobald鈥檚 Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).
Answer to 1592 Seeing spots: The numbers are 0, 24, 27, 512 and 576
The winner John Blankenbaker of Dallas, Texas, US