19% Moon on May 13, 2024

I shot the May 13, 2024 Moon at 19% phase (nearly first quarter). The idea was to try both the "lucky imaging" approach as well as some custom written Python code for aligning and stacking the frames.

April 8th 2024 Total Solar Eclipse

My family and I got super lucky for the total solar eclipse one month ago today: April 8, 2024. We were in western New York, and stayed put as the forecast steadily grew cloudier and cloudier.

We couldn't see anything for most of the first hour of the eclipse. While the Moon slowly made its way across the Sun... the clouds were too thick. Finally, as we neared totality, the clouds thinned! The partially eclipsed Sun was revealed! At times the Sun was visible through the clouds but very dim. I had no solar filter and risked my camera by taking some shots. For brief periods it got quite bright and we could finally see the eclipse through our eclipse glasses. Luckiest of all, we had roughly a minute or so of a clear view during totality!

March 15th 2024 Moon

For a while now I've wanted to make an HDR-style photo where both the sunlit and dark halves of the Moon are visible. The half Moon was high overhead, and not obscured by clouds, on March 15th. I took a bunch of photos and then tried to stitch them together.

Counting Polycubes of Size 22

There are 12,766,882,202,755,783 unique 3D polycubes that can be constructed with 22 cubes.

As a follow-up to my more-detailed previous post, I've now used Stanley Dodds's algorithm to enumerate the next larger size of polycubes — those constructed of 22 cubes!

Counting Polycubes of Size 21

There are 1,636,229,771,639,924 unique 3D polycubes that can be constructed with 21 cubes.

I calculated this number over a period of 10 days in the Amazon Elastic Compute Cloud using Stanley Dodds's amazing algorithm (see below), which I ported to rust. In this post I'll give some background on my efforts to compute this value.

The canonical source of many integer sequences, including many polycube and polyomino sequences, lives at the OEIS. The relevant sequence here (polycubes containing $n$ cubes) is sequence A000162, where you'll find the rest of the known values in this sequence as well as a link to Dodds's code.