George Budd @Gbudd@qoto.org

The number 30 is pretty cool. Check out the numbers relatively prime to it and smaller than it:

1, 7, 11, 13, 17, 19, 23, 29

Except for 1 they're all prime! 30 is the largest number with this property.

It's not that hard to see why. Suppose we had a bigger number with this property. It needs to be divisible by 2, 3, and 5, or else some product of two of these primes would be relatively prime to it and smaller than it, but not prime. So the next option is 60. But that doesn't work since 7² is smaller than 60 and relatively prime to it but not prime. So our number needs to be divisible by 7 too, so the next option is 210. But this doesn't work since 11² is relatively prime to it and smaller than it, but not prime. And so on - it's a losing battle.

Furthermore, those primes I listed form a palindrome:

30 - 1 = 29, 30 - 7 = 23, 30 - 11 = 19, 30 - 13 = 17,
30 - 17 = 13, 30 - 19 = 11, 30 - 23 = 17, 30 - 29 = 1

This stuff is not a meaningless coincidence: it comes from 30 being the "Coxeter number" of the group E8. Notice there are 8 numbers on our list - that actually comes from the "8" in E8. If you add 1 to each of these numbers you get the so-called "magic numbers" for E8:

2, 8, 12, 14, 18, 20, 24, 30

Why are they magic? For example, if you take any maximal torus in E8, its normalizer mod its centralizer is a finite group with

2 × 8 × 12 × 14 × 18 × 20 × 24 × 30 = 696,729,600

elements. And if you double these magic numbers, subtract one from each and sum them up:

3 + 15 + 23 + 27 + 35 + 39 + 47 + 59 = 248

you get the dimension of the group E8.

Wacky stuff! For explanations go to the bottom of this page:

https://math.ucr.edu/home/baez/octonions/integers/integers_5.html

Some components to running a great code in the field:
1. SGAs— don’t intubate. Use supraglottic airways (I like the iGel, but there a few great options out there)
2. Pit-crew — give everyone a role, and make them stick to it (airway, access, defib, code leader)
3. LUCAS — manual CPR is shit. A few machines exist, but the LUCAS is far and away my favorite
4. IO — IVs are hard to get on dead people. Use a tibial IO device.

#emergencymedicine #emergencymedicalservices #EMS

1/…

A recent photo of my sketchbook, still training with ballpoint pen directly, a cruel training. But I am beginning to get a better ability to imagine perspective grids without tracing them, and I can even begin to plan full-page compositions. It takes a while to build these new skills, but they are worth it.

#sketchbook #training #FediArt #ballpointpen

The real video clip

The way you make me meow

Dear developers: Please stop using random valid domains in your examples or documentation, there are dedicated domain names and IP ranges for that.

For domain names for example use: example.com

Reference: https://datatracker.ietf.org/doc/html/rfc6761#section-6.5

For IP address ranges for example use: 203.0.113.0/24
or
2001:DB8::/32

Reference: https://datatracker.ietf.org/doc/html/rfc5737#section-3 [IPv4] or https://datatracker.ietf.org/doc/html/rfc3849#section-4 [IPv6]

Thanks!
The infrastructure people.

What would you say is the first microcomputer? The Apple I from 1976? The Altair 8800 from 1974? Perhaps Micral N (1973) or the Q1 (1972)? How about the Arma Micro Computer from way back in 1962. This compact 20-pound transistorized computer was built for space applications. 1/13

for (int 🐱=0; 🐱 <3; 🐱++)
pthread_join(🐈[🐱], NULL);

Happy #BlackHistoryMonth !

I'm still not up to Black History! I'm still working through white US history. Bear with me! Almost there!

Q: Why does it seem like everything has to be woke now? Even our scientists?! It never used to be that way! Why does it seem like these days, even higher education has to think about race, when it didn't before?

A: Higher education, including STEM, did think about race before. That history has just been hidden from you. Because racism.

#BlackMastodon

RIP wild one. You taught millions of people so many things about owls and nature.. and you never had a choice. You didn't really belong here, we should have done better by you. Thank you, goodbye, I'm sorry.

https://www.nytimes.com/2024/02/23/nyregion/flaco-owl-central-park-zoo-dead.html

You have been visited by margaret hamilton. Fast code and moon landings will come to you but only if you boost this toot

Here's a lovely thing.

"By and large", as in, "by and large, pizza is good", is a *nautical* expression, dating from the 18th shading back into the mists of the 17th century of English sailing ships.

"By" means "tending opposite the prevailing wind", and "large" means "tending with the prevailing wind".

So, "by and large" means "no matter which way your ship is headed relative to the wind".

I'm a poly-dork, and one of my dorkeries is language.

I cherish this fact.

Also, I cherish pizza.

My invention, the Pedestrian Crossing Flail-Mace, is an improvement over flag-based systems.

“For some reason our AWS bill spikes 4% in February once every four years. I don’t understand why.”

“You're comprised of 84 minerals, 23 Elements & 8galls of water spread over 38 trillion cells.
You're built from nothing by the spare parts of the Earth you've consumed according to a set of instructions hidden in a double helix, small enough to be carried by a sperm.
You're recycled butterflies, plants, rocks, streams, firewood, wolf fur & shark teeth, broken down to their smallest parts & rebuilt into our planets most complex living thing.
You're not living on Earth, you are Earth.”

- Aubrey Marcus

“We are stardust, we are golden, we are billion-year-old carbon”
Joni Mitchell