Shape

338 III Using It to Design
But this may be a fluke—lucky accidents and surprises where there’s something unexpected
to see are a wonderful part of art. Nonetheless, I can also use some familiar
tricks from part II to make rules work the way I want, to guarantee reliable results. Perhaps
it’s important for the main divisions in ice-rays to be ‘‘orthogonal’’ as my example
shows—then rules like this one
that incorporates a point will do the job
Or maybe ‘‘parallel’’ divisions that don’t intersect are more desirable—then I can use a
point in the rule
and in other rules like it to calculate so
And I can also give rules for lattice designs with other kinds of symmetry, for example,
where divisions rotate in a nice way
It’s easy to do this for any transformation—simply show how it works in both sides of
a rule in the schema x fi divðxÞ. In particular, the rule