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116 I What Makes It Visual?<br />

looks like this<br />

Added complication—above, it’s preserving symmetry with finer and finer divisions—is<br />

bound to be a chance to make a lot of silly mistakes. But I guess it’s good to<br />

have more to think about to keep busy. It may feel great to fix things that don’t work.<br />

The effort is pointless, though, if your eyes are always right. Calculating shouldn’t be<br />

this hard. Why not look instead? Dividing shapes into lowest-level constituents isn’t a<br />

prerequisite for rules to work. It’s always enough to draw shapes—in any way you<br />

choose—in order to define rules to calculate by seeing. There’s no reason to do anything<br />

more. Embedding lets me trace out parts that aren’t given beforehand and then<br />

replace them. There’s sagacity and learning. That’s all I need for both calculating and<br />

reasoning.<br />

It’s usually wise to have more than one example so you can be confident that<br />

what you’re worried about isn’t a rare phenomenon of no general consequence. It’s<br />

easy to imagine the star<br />

linking other shapes

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