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The Second Book of Mathematical Puzzles and Diversions

The Second Book of Mathematical Puzzles and Diversions

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Tetraflexagons 27<br />

c d<br />

FIG. 9.<br />

How to make a tetra-tetraflexagon.<br />

making tetraflexagons <strong>of</strong> this sort, but adding one or more<br />

additional rows (which does not change the essential struc-<br />

ture) makes the model easier to manipulate.<br />

<strong>The</strong> tetra-tetraflexagon shown in Figure 9 has <strong>of</strong>ten been<br />

used as an advertising novelty because the difficulty <strong>of</strong> find-<br />

ing its fourth face makes it a pleasant puzzle. I have seen<br />

many such folders, some dating back to the 1930's. One had<br />

a penny glued to the hidden face; the object <strong>of</strong> the puzzle<br />

was to find the lucky penny. In 1946 Roger Mont<strong>and</strong>on, <strong>of</strong><br />

<strong>The</strong> Mont<strong>and</strong>on Magic Company, Tulsa, Oklahoma, copy-<br />

righted a tetra-tetraflexagon folder called Cherchez la<br />

Femme, the puzzle being to find the picture <strong>of</strong> the young<br />

lady. Magic <strong>and</strong> novelty stores also seli an ancient children's<br />

trick usually called the "magic billfold." Its tri-tetraflexagon<br />

ribbon-hinges permit some simple disappearing stunts with<br />

a dollar bill <strong>and</strong> other flat objects.

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