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257 Spatial Relations and Rules<br />

there are six spatial relations<br />

and for the equilateral triangle<br />

just one<br />

But there’s no reason for me to stop. I can use my triangles together to get four more<br />

spatial relations<br />

And I can break the symmetry of my triangles to define different rules that apply in<br />

definite ways. Again, points are useful if I put them in the right places—here in the<br />

isosceles triangle<br />

and here in the equilateral one<br />

And, in fact, these triangles with points have spatial relations that correspond to the<br />

ones for my scalene triangle. This is a nice way to show how symmetry works. Nonetheless,<br />

points are better used in rules. It’s calculating with shapes that makes a real difference.<br />

There are addition rules like these

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