It's unusual to have a science or math theme in an NYT puzzle, particularly one of this depth and complexity. The FIBONACCI SERIES F(n) starts 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,… Each number is the sum of the two preceding ones. The ratio of successive numbers in the series approaches the GOLDEN RATIO (an irrational number approx 1.618) as n approaches infinity. Like pi or e, it is a constant that pops up surprisingly often.
Artists have traditionally considered this relationship to be the most aesthetically pleasing. It is said to be observed in nature in, for example, the growth of nautilus chambers, and the patterns of artichoke leaves or sunflower seeds.
1 S | 2 T | 3 E | 4 M | 5 D | 6 E | 7 A | 8 R | 9 R | 10 E | 11 A | 12 M | 13 S |
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14 P | I | S | A | 15 A | W | R | Y | 16 E | A | T | I | N |
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17 A | R | T | I | 18 C | H | O | K | E | 19 P | R | O | L | E |
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20 T | E | D | T | A | L | K | S | 21 A | N | N | I | E |
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22 A | L | I | S | 23 L | 24 D | R | 25 A | E | R |
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26 O | 27 P | 28 T | I | M | A | 29 N | A | U | T | 30 I | L | U | S |
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31 A | H | A | 32 E | I | T | H | E | R | ||||||
33 F | I | B | 34 O | 35 N | 36 A | C | C | I | S | E | R | 37 I | 38 E | 39 S |
40 P | O | L | L | E | N | 41 R | E | C |
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42 I | 43 N | 44 N | E | R | E | A | R | 45 I | 46 O | 47 L | A | N | I |
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48 S | O | A | 49 E | X | T | 50 A | T | R | A | |||||
51 L | O | G | 52 I | A | 53 D | I | S | A | R | 54 M | 55 E | 56 D |
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57 E | G | G | O | S | 58 S | U | N | F | L | O | W | E | R |
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59 T | I | E | T | O | 60 R | A | G | U | 61 S | A | R | A |
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62 S | E | D | A | N | 63 A | D | E | N | 64 A | H | O | Y |
Answer summary:
1 unique to this puzzle, 3 debuted here and reused later.
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