In such a figure with 10,000 tiers there would be 6,992,965,420,332 different triangles!
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No. LXXXII
The match puzzle, in which eight matches set in a row are to be rearranged in four pairs, by passing one match over two four times—
is solved, if the matches are numbered 1, 2, 3, 4, 5, 6, 7, 8, by moving 4 to 7, 6 to 2, 1 to 3, and 5 to 8.
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No. LXXXIII
The lower diagram shows how, when three matches are removed from the four squares, the remaining nine can be readjusted to represent three squares—
