Cross-hatch

 

Top Big Band Albums

Composer and bandleader Darcy James Argue announced 30 + 30 Essential Bigband Recordings. Half of them predate the Grammy for large group, but still I expected more in the union of these sets. 

The most popular thing I have ever Tweeted, bar far, was the thread of 30 Essential Bigband Albums that I posted last year. It’s time for a sequel. https://t.co/w10iINZr2z

— Darcy James Argue (@darcyjamesargue) September 6, 2023

My Euler diagram is obviously loose. You can find Miles, Miles + Gil, Miles + Quincy, and Quincy separated, as well as ghost bands separated from their originals, but otherwise I didn't fret too much over different recordings or eras representing the group. 

Highly Composite Numbers

 A highly composite number is a positive integer with more divisors than any smaller positive integer has. Here's my visual representation, a rare example where I feel I can justify using a log-log scale. Graphed is A000005 in black with the highly composite numbers A002182 in red. 

Mega Bloks

Mega Bloks tolerate some rotation that we can use to escape the Euclidean grid.

 

Their dimensions allow a convenient 22.5 degree rotation.

 

Thus, circles and rounded right angles are possible:

 

But we don't have to use the maximum, as they tolerate up to 22.5 degrees. So, we can approximate a sine wave:

What else can we create?