Cerebral Shenanigans

just a personal blog

Anonymous asked: I need to write a paper for school on something, pretty much anything, to do with maths (could be stats) but i have no idea where to start. Is there anything cool / interesting you know of? Examples of past ones are 'modelling tumour growth', 'symmetry of spider webs' - that kinda thing

pyrrhiccomedy:

How about the Ulam spiral? And by extension, prime number theory in general?

If you haven’t heard of the Ulam spiral, check it out: if you write down sequential integers, starting from ANY NUMBER, in the shape of a spiral traveling outwards, and then circle all the primes, this (when you zoom out far enough) is what you get:

image

As you can see, there’s an obvious pattern of parallel lines. Nobody really understands why there’s this apparent ‘superstructure’ of primes (which you can see via other methods as well; the Ulam spiral is only the most famous). There are lots of proofs and theories that try to get to the bottom of it, though. And writing about primes means writing about cryptography, which is baller.

“Here lies Ann Mann
She lived an old maid
and died an old Mann.”

– Gravestone in Bath Abbey, England (via ladyhistory)

tuneage:

Midnight Hours by Wunder Wunder

These Californian based Aussies effortlessly pair sun-kissed good vibes with nighttime excitement. Their infectious upbeat track “Midnight Hours” will have you tapping your feet or steering-wheel drumming in no time but there is a heaviness.

And Wunder Wunder reminds us that summer is about shedding our daytime responsibilities, if only for a few minutes. But it’s all bittersweet. We are in the midnight hours of summer. But in 5h3m, we find moments of floating and fleeting freedom where the possibilities are endless. 

Turn it up, let your hair down, and savor the last bits of warm night air like you just snuck out your parents’ house. 

This submission was written by Kalani over at twenty-ish.com!