Nice summary! Your readers may be interested in knowing that there are some unsolved problems here; see the article by Propp and Propp-Gubin for details.
Whoops! Thanks for catching this. Hmmm… Should I fix it, or maybe leave it as it is and then point out at the end of the article that this genuine error on my part shows the pitfalls of counting-by-listing? :-)
Thank you! I thought about mentioning some of the other results, but the proofs are quite a bit more sophisticated.
You might like to know that there is a small mistake in your diagram with the sixteen triangles that I edited to make the lead image. I had to change the triangle in the bottom left corner, because the one that appears in your paper is a duplicate of one of the others. (I didn’t notice this until I started trying to shade the triangles.)
Nice summary! Your readers may be interested in knowing that there are some unsolved problems here; see the article by Propp and Propp-Gubin for details.
Whoops! Thanks for catching this. Hmmm… Should I fix it, or maybe leave it as it is and then point out at the end of the article that this genuine error on my part shows the pitfalls of counting-by-listing? :-)
Thank you! I thought about mentioning some of the other results, but the proofs are quite a bit more sophisticated.
You might like to know that there is a small mistake in your diagram with the sixteen triangles that I edited to make the lead image. I had to change the triangle in the bottom left corner, because the one that appears in your paper is a duplicate of one of the others. (I didn’t notice this until I started trying to shade the triangles.)