While on the beach one day, I found a triangular rock. So I started on some beach relief.
Then I iterated.
And I iterated again.
And I continued to iterate, until the whole beach was one big Sierpinski Triangle!
As opposed to tiling the plane, here’s knitting the plane. Or, the fence.
As you can see, they’ve still got a ways to go!
And this isn’t the first example of mathematical knitting I’ve seen: check out this knitted Klein bottle!
During some explorations of the one-cut challenge, a student produced this, which we all agreed was beautiful.
Find more math and art in paper at my Fun With Folding page!