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Read the puzzle

Dots numbered 1 to 46 are scattered; only multiples of 3 are joined, in order from 3 to 45 and back to 3. Positions as (across, down), with 0 on the vertical centre line, right positive: 3 (0,0); 6 (2,2); 9 (6,4); 12 (4,6); 15 (5.5,9); 18 (3,13); 21 (5,15); 24 (5.5,17.5). 27 to 45 mirror these on the left: 27 (-5.5,17.5), 30 (-5,15), 33 (-3,13), 36 (-5.5,9), 39 (-4,6), 42 (-6,4), 45 (-2,2). What appears: A a key, B a crescent moon, C a lantern or D a star?

Join 3, 6, 9... in order. What appears?

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