Sierpinski Hamantaschen: Sierpinskitaschen (First in the world?!)

from the blog:

It's not often that you think you just did something nobody's ever done before. But today, it might have happened.

It's Purim, so I'm making the hamantaschen recipe my grandmother z"l developed while she was alive, and passed down to me. It's my family obligation to make this recipe now every year and send hamantaschen out in boxes (gifts called mishloach manot) to my family and dear ones. I've done my best to preserve this recipe; I've written it up in the New York Times, I've taught workshops on how to make it for two Purims in a row, and I've committed to the family hamantaschen-baking role.

But this year, I did something else. You may be familiar with the Sierpinski triangle, a mathematically attractive, self-repeating fractal that starts with one equilateral triangle and breaks down into ever-smaller triangles.

Somehow this year it dawned on me that the world was incomplete without a Sierpinski hamantaschen, or sierpinskitaschen. I scoured the vast reaches of the Interwebs, to see if this had been done before. I may have missed something, but it seems this has not.

Until today.