23.02.2014 Views

Shape

Shape

Shape

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

23 Answer Number Two—Three More Ways to Look at It That Tell a Story<br />

The consistency is nice—the lowest-level constituents are lines of two different<br />

lengths—and I can find the triangle according to its standard definition—it’s a polygon<br />

with three sides—and move it around. I’m also lucky. There are A’s<br />

and bits of hexagons<br />

if I want rules to move them around, too. But what happened to the X’s? I can’t make<br />

them out with the lines I’ve got. Should I go back and segment the triangle in another<br />

way, so that it’s cut up into angles? That’s not a bad idea. Now I really have a triangle<br />

(Or should I say trilateral? Words work in funny ways, too.) The whole shape is a<br />

kind of two-dimensional string of angle brackets. This is neatly consistent again—<br />

constituents are all the same angles. And I can find X’s<br />

not as intersecting lines, but as touching angles. That’s a novel result. I hadn’t thought<br />

of X’s that way. Only now the A’s and the bits of hexagons have disappeared. I need to<br />

reconcile the alternative ways I’ve segmented the shape<br />

The divisions in

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!