Also discussed here: https://news.ycombinator.com/item?id=45261566

Paper was posted twice:

https://news.ycombinator.com/item?id=45075566

https://news.ycombinator.com/item?id=45041978

Thanks to you both! Macroexpanded:

Rupert's snub cube and other Math Holes - https://news.ycombinator.com/item?id=45261566 - Sept 2025 (10 comments)

Rupert's Property - https://news.ycombinator.com/item?id=45057561 - Aug 2025 (23 comments)

Now the Lumatone

https://www.lumatone.io/

Mike Battaglia plays Scarborough Fair in 31-tone equal temperament

https://www.youtube.com/watch?v=HJKB1_gvhLE

I wish I had bought a few Axis-49 controllers when they were in production. They were a much more reasonable $500 at the time.

https://www.c-thru-music.com/cgi/?page=prod_axis-49

You might be interested in the Hexboard. Basically a mini-lumatone for ~$500; main downside is no velocity sensitivity.

https://shapingthesilence.com/tech/hexboard-midi-controller/

I'm quite happy with mine, and play it with the Wicki-Hayden layout.

https://en.wikipedia.org/wiki/Wicki%E2%80%93Hayden_note_layo...

A Lumatone is $4250, though!

For programmers only :(

This problem has an established name and is widely studied in economics and mechanism design: the free-rider problem

https://en.wikipedia.org/wiki/Free-rider_problem

Full title: There is no evidence that time spent on social media is correlated with adolescent mental health problems: Findings from a meta-analysis.

Better source: https://www.nature.com/articles/d41586-024-03190-y

Thank you

(2013)

Added to title, thank you!

Full title: Pervasive findings of directional selection realize the promise of ancient DNA to elucidate human adaptation

Does your tinnitus return when you're not wearing the Lyric devices (or when they're turned off, if that's possible)?

It returns when I turn them off. But this happens only for like 5 minutes every 3-4 months or so (ideally).

Better URL: https://remarkable.com/store/remarkable-paper/pro