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Page 39

And one could also produce symmetrical

in three, four, five or six steps. All the hooks produced will, of course be righthand

hooks like the original one; but one can combine these rotational symmetries ...

And one could also produce symmetrical

**arrangements**by making the whole turnin three, four, five or six steps. All the hooks produced will, of course be righthand

hooks like the original one; but one can combine these rotational symmetries ...

Page 41

The proof that there are only seventeen possible

and will not be given here, but the drawing 3a.2 shows them all. The most perfect

examples of symmetry one comes across in the real world are the

...

The proof that there are only seventeen possible

**arrangements**is quite difficultand will not be given here, but the drawing 3a.2 shows them all. The most perfect

examples of symmetry one comes across in the real world are the

**arrangements**...

Page 42

There are other

mathematical ways, which the mind can accept as orderly, even when it cannot

immediately express the precise

, a ...

There are other

**arrangements**, in which the parts are related in some specificmathematical ways, which the mind can accept as orderly, even when it cannot

immediately express the precise

**arrangement**underlining the order. For instance, a ...

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