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MYSTERIES OF THE EQUILATERAL TRIANGLE - HIKARI Ltd

MYSTERIES OF THE EQUILATERAL TRIANGLE - HIKARI Ltd

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Chapter 4<br />

Mathematical Recreations<br />

The impact of the equilateral triangle is considerably extended if we broaden<br />

our scope to include the rich field of Recreational Mathematics [273].<br />

Figure 4.1: Greek Symbol Puzzle [210]<br />

Recreation 1 (Sam Loyd’s Greek Symbol Puzzle [210]). Draw the Greek<br />

symbol of Figure 4.1 in one continuous line making the fewest possible number<br />

of turns (going over the same line as often as one wishes).<br />

The displayed solution commences at A and terminates at B with segment<br />

AB traced twice. It requires only 13 turns (14 strokes). If no segment is traced<br />

twice then 14 turns are necessary and sufficient. This same puzzle appeared<br />

in [87].<br />

103

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