Get smarter: Go down the Pascal’s Triangle rabbit hole

It's been called the Staircase to Mount Meru and the Khayyam Triangle, but many people know it as Pascal's Triangle. It's an infinite triangle of numbers with ones on both risers, the positive integers at the next diagonal, and then it just goes crazy from there. There are formulas for developing a row or a diagonal. You can black out the odd numbers and make fractals. Watch the video above, read more about the triangle, and then check out the Sierpinski triangle, which is the equilateral triangle fractal you can make from Pascal's triangle.

Careful, you might need a nap afterward to process all of it.


Like this? Support the site by buying a copy of The Simplex, Duplex and Pascal's Triangles: Relatives of Pascal's Triangle, With Excursions Into Hyperspace.

Links of the Week, Nov. 3, 2015: Feast your eyes


Interesting stuff to look at this week.

» Did aliens build strange stuff in Kazakhstan thousands of years ago?
» Check out some color photos from WWII.
» See some stunning architectural projects that really describe the culture of what they represent.
» Do you think whoever put together these ads realized the kids all look evil?
» This is a beautiful drone hyperlapse from the sky.
» What do you see when you look at a city? Look at Peter Tonningsen's project, Urban Dreams.
» Wow: 1,100 ways designers
interpret Shakespeare.

Like what I do? Consider making a donation via Paypal.

Links of the week, Oct. 20, 2015


» Let's start this week, I think, with some beautiful abandoned places.
» Stephen Hawking does a Reddit AMA. Awesome.
» Forget advances in drugs. Can we just switch harmful genes off?
» Check out beautiful moving stills of dancers in suspended motion.
» Turning carbon dioxide gas into little pellets, one company is combating climate change.
» Will you ever be able to upload your brain?
» Check out some of America's best historic hotels.

This post is brought to you by Alpha Brain by Onnit, a nootropic that can help with recall, focus and more. Read a review here.

First half marathon diary, Week 20

Happy Monday!

Well, with a visitor in town over the long weekend, we kinda ate a bunch of junk food, but I ran faster and managed to maintain just under 150 pounds, which is my goal for race day. The move is almost done, I have one more long run before the race, and I'm excited to hopefully just cruise on toward race day!


Me on Runkeeper
More running diary
Rock 'n' Roll Savannah
Training schedule


Miles logged last week: 26.41
Time logged last week: 4:24:45
Weeks until race: 3
Weight: 149

This post is brought to you by Shroom Tech Sport, my pre-workout of choice. No caffeine, no shakes, no weird warm feeling coming over you. Just some extra drive to get you through.

Sweaty Josh picture of the week

One of my favorite local beers for recovery. Who cares if I finished running at 10:30am?

Stand up for each other, eh?

Sometimes it's hard to root for people. We lie, steal, cheat and, when possible, we take take take take take.

But remember, we're people, and no other species is going to help us. Your dog might love you, but if she's starving and I'm dead, she'll just go ahead and eat me. Monkeys will throw poop at you and laugh. Tigers will eat you. Bears will steal your peanut butter and have your cat for dessert.

Agreed. You know, go ahead and love animals — and pizza and ice cream and craft beer — all you want, but remember to take some time to stand up for each other.


Links of the Week, Oct. 13, 2015


» How an interspecies one-night stand in the ice age affects us all today
» While the profit margins on flying are getting slimmer, the airlines are trying to get more people on planes. See some of the awful seating arrangements some have come up with
» Some of the best newspaper gems from time capsules
» Imagine sending your child for a paternity test and finding out that who you thought was the father is, but it turns out you're not the mother? It's rare, but DNA testing is turning up a form of chimerism in which genes aren't passed along "correctly."
» From Flagstaff, Maine, to Calico, California, here are some great American ghost towns
» Liquid armor that can solidify on demand: The US military may get an "iron man" outfit soon
» And lastly, it's that time of year again! Photos from the 2015 World Beard & Moustache Competition

This post is brought to you by Alpha Brain by Onnit, a nootropic that can help with recall, focus and more. Read a review here.

Give a crap, but don’t. Or, don’t give a crap, but do.

This is one proud looking kid and turtle.

I've been reading Mark Manson on not giving a fuck almost daily. It's a good reminder of two things.

First, sometimes, you need to not give a crap. Maybe even most of the time. It will allow you to charge through life.

Second, sometimes, you need to give a crap. Maybe even most of the time. It will allow you to do everything you do with excellence, and subsequently to be proud of it.

The trick is knowing what's worthy of a crap, and what isn't. Now's not a bad time to re-evaluate what you're giving a crap about. How about it?

This post is brought to you by one of the kings of not giving a crap. Go get The Great Shark Hunt: Strange Tales from a Strange Time by Hunter S. Thompson today.

Links of the week: Sept. 15, 2015

Some interesting stuff from around the Web this week...

» In case you missed it, we found a new species of near-human, Homo Naledi
» Scientists have determined they might be able to use a particularly deadly scorpion to help identify cancer cells
» Meet New York's homeless fashion photographer
» Looking to boost your health? Try art, music and nature
» Speaking of nature, did you see what Jerry Brown sent Ben Carson?
» Is the "five second rule" true?
» Yeah, I know it's pumpkin spice everything time for some of you. Have some minis.

This post is brought to you by Alpha Brain by Onnit, a nootropic that can help with recall, focus and more. Read a review here.

Links of the week: Sept. 8, 2015

For more links, including the archive of the Bearded Brain newsletter, check out the links category.

» I'm not sure how they missed Kevin Spacey in "The Usual Suspects" here, but check out some of the things actors have done to themselves for roles.
» Is the Halloween paraphernalia out in your area? We've seen it around for a few weeks now. See some masks from days of yore — and not all of them are means as fun costumes.
» What's for dinner? How about some food from ancient Rome? Here are some recipes.
» Speaking of food, check out photos from the 2015 Global Sushi Challenge.
» What do you do with a decommissioned prison?
» Zen master D.T. Suzuki on freedom and fulfillment
» Where did punctuation come from?

Can we avoid death?

"nanoimmortality" by kemmikore, used under CC BY-SA 2.0

What would you do with an extra 10 years on your life? An extra 100? An extra 1,000? We might be heading that way.

Yuval Noah Harari, speaking to Nobel Prize winner Daniel Kahneman, notes that death used to be what he calls a metaphysical problem — something decreed by the gods — now, we see aging and death as a technical problem, one to be solved by science.

He also notes, however, that over the next several decades, people will lose their value both to world militaries and to world economies, as machines take over. As that happens, Harari says, we might also see a halt to our system of mass medicine. In that case, instead of having people fix the consequences of aging (Alzheimer's, arthritis, etc.), we'll see research to prevent aging altogether.

Research is advancing in both, to be sure — scientists are using origami to design nanobots that will course through our blood, battling the bad stuff — but there are also some people doing research into helping us live, in good health, indefinitely.

Terry Grossman runs a center that tests pretty much everything that has anything to do with showing the effects of aging, with an eye toward correcting it. Some of the more underground research, though, is being done by people like the folks at Sierra Sciences. Founder Bill Andrews is looking to "cure aging or die trying." He runs an ultramarathon (50-100 miles) every month, in his 60s. His bio says his goal is to run a seven-minute mile at the age of 130. Hear him on Singularity 1 on 1.

The SENS Research Foundation is doing a lot of research into biorejuvenation — the idea that we can use, perhaps, stem cells to make our parts function as if they are in their prime with an injection or something similar. Once your heart starts to fail, for example, we'd be able to make it work well. And not just once — if a heart's prime life span is 30 years, every 30 years, we'd rejuvenate your heart. Or your liver. Or your eyes. Or whatever you needed.

Aubrey de Grey is that center's outspoken lead scientist. Hear him on Joe Rogan's podcast. One thing I find really interesting on this podcast is that the two do get into some discussion of the ethics — while defeating aging certainly sounds like a noble cause, when do we run out of resources, both as a planet and as individuals?

Grossman, Andrews and de Grey are all featured prominently in the documentary The Immortalists.

There's also another branch of immortality research called transhumanism, which really seems to be a live-forever-at-all-costs movement. Artificial limbs are the beginning of this line, but merging humans with machines — what science fiction calls "cyborgs" — is the direction this research is going.

The most visible proponent of this, at this moment, is author Zoltan Istvan, who is running for U.S. president in 2016.

This is, indeed, an interesting time we live in.