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In ancient greece

Reviewing some photographs of the wonderful relics of antiquity unearthed during the recent excavations in Greece, the repeated appearance of the circle and triangle symbol caught my attention.

Without entering into the discussion concerning the accepted interpretation of the symbol about which many scholarly men have written many books, I simply wish to draw attention to the curious mathematical aspects that always seem to be part of the structure in these cases.

This sign is linked to certain inscriptions of memorials and is used as a stamp or signature. It is pleasant to discover that the symbol can be drawn with a single continuous line without going through the same place twice.

But if we adopt the most popular strategy of allowing to pass on some lines as many times as we want, demanding only that the figure is drawn by a single continuous line with the least possible change of direction in the stroke, homework becomes the best puzzle of its kind ever invented.

Solution

The Greek symbol can be drawn with a single continuous line with thirteen changes of direction starting at the point TO and ending at the point Z as shown in the following illustration: