Triangle Tiling refers to the process of taking many copies of
a single triangle and laying them next to each other to fill out an
area. We make the pattern by laying down one triangle first, then
reflecting that triangle in imaginary mirrors on the the triangle's
edges. For example, if we use a tile shaped like this
and put lots of copies next to each other, we end up with a pattern
like this:
The coloring pattern that we're using divides
the original triangle into 3 colored regions of purple,
yellow, and green. As we move the point
where these three regions meet, we change
the color pattern, and we get different patterns in the resulting
tiling. Here are a few of the variations that
are possible:
You can make your own patterns like the ones above using the
Science U interactive or read on
about why the
shape of the original triangle is important and about how allowing the
triangle to bend gives rise to 3D shapes!
