Triangles, parallelograms and Shimura curves: Maths!

work, studying, science, nature
User avatar
Martijn
Posts: 1260
Joined: Sat Oct 13, 2007 8:27 pm
Last.fm: http://www.last.fm/user/thinksmall
Location: Exeter
Contact:

Re: Triangles, parallelograms and Shimura curves: Maths!

Post by Martijn » Thu Aug 20, 2009 5:22 pm

Heh. It's a fascinating topic, isn't it? I once did a module on analytic number theory, about the Riemann zeta function and stuff like that. It was really fascinating but I kept wondering how someone would come up with these proofs.

This thread reminds me of some maths limericks I read on a blog the other day (the blog is Dutch but the limericks are in English). I agree with the author that this one, which isn't about maths but still quite geeky, beats them all though.

User avatar
gloom button
Posts: 918
Joined: Fri Sep 28, 2007 5:57 pm
Contact:

Re: Triangles, parallelograms and Shimura curves: Maths!

Post by gloom button » Thu Aug 20, 2009 7:06 pm

Martijn wrote:Heh. It's a fascinating topic, isn't it? I once did a module on analytic number theory, about the Riemann zeta function and stuff like that. It was really fascinating but I kept wondering how someone would come up with these proofs.
As an undergraduate? I don't remember taking anything like that! I was reading a little about the Riemann function there yesterday, but I probably need to brush up on more basic stuff to understand it all a bit better.

Incidentally, that jury-rigged approach ended up solving the number spiral problem in about 15-20 seconds, faster than a lot of the primality tests other people ran though slower than some optimized ones. You can do the diophantine part of the test just by a bit of modular arithmetic, so we didn't have to do any direct primality testing. The next problem looks quite good fun, though maybe more fun than maths.
the trouble with personalities, they're too wrapped up in style
it's too personal; they're in love with their own guile

User avatar
Martijn
Posts: 1260
Joined: Sat Oct 13, 2007 8:27 pm
Last.fm: http://www.last.fm/user/thinksmall
Location: Exeter
Contact:

Re: Triangles, parallelograms and Shimura curves: Maths!

Post by Martijn » Fri Aug 21, 2009 9:42 am

Heh, that one's nice too. One that a lot of research has been done into as well.
gloom button wrote:As an undergraduate? I don't remember taking anything like that! I was reading a little about the Riemann function there yesterday, but I probably need to brush up on more basic stuff to understand it all a bit better.
No, I was a graduate by then. (The difference between undergraduate and graduate was a bit vague at Dutch universities, as you'd go straight for a master. But the course required quite a bit of pre-knodlegde.)

The proofs themselves weren't even that hard to understand in that every step was rather easy. It's just that I never really saw why you would do all that complex analysis to prove things about prime numbers.

Your Funny Uncle
Posts: 437
Joined: Thu Nov 29, 2007 2:20 pm

Re: Triangles, parallelograms and Shimura curves: Maths!

Post by Your Funny Uncle » Thu Jan 13, 2011 3:20 pm

Awesome maths joke stolen from Twitter:

Did you know that the "B" in Benoit B. Mandelbrot stands for 'Benoit B. Mandelbrot'?

User avatar
humblebee
Posts: 10539
Joined: Sun Sep 30, 2007 4:33 pm
Last.fm: http://www.last.fm/user/atomicbeatboy
Location: Sheffields
Contact:

Re: Triangles, parallelograms and Shimura curves: Maths!

Post by humblebee » Thu Jan 13, 2011 5:14 pm

Your Funny Uncle wrote:Awesome maths joke stolen from Twitter:

Did you know that the "B" in Benoit B. Mandelbrot stands for 'Benoit B. Mandelbrot'?
I love that.

User avatar
lynsosaurus
Posts: 3469
Joined: Fri Sep 28, 2007 6:13 pm
Last.fm: http://www.last.fm/user/
Location: Auld Reekie
Contact:

Re: Triangles, parallelograms and Shimura curves: Maths!

Post by lynsosaurus » Thu Jan 13, 2011 6:46 pm

aw. that's just made me smile.

User avatar
graysonscolumn
Posts: 1202
Joined: Tue Jul 29, 2008 12:31 pm
Location: Sheffield, where I'm happy and it's nice.
Contact:

Re: Triangles, parallelograms and Shimura curves: Maths!

Post by graysonscolumn » Thu Jan 13, 2011 9:48 pm

;-D
Fifty Shades Of Grayson: http://thatmusiclist.blogspot.com

Blank Frack
Posts: 427
Joined: Fri Oct 12, 2007 3:06 pm
Last.fm: http://www.last.fm/user/
Location: Sheffo
Contact:

Re: Triangles, parallelograms and Shimura curves: Maths!

Post by Blank Frack » Mon Jun 06, 2011 8:13 am

I woke up at 4am this morning and couldn't get back to sleep so my brain started entertaining itself with the Fibonacci Sequence and then start extending it backwards (i.e. the numbers leading up to 0,1,1,2,3) and it was very pleasantly surprised. I'm sure it's really obvious why it behaves as it does when you have had more than 4 hours sleep but for now it just looks pretty in my sleepy head.
I'm not evil, I'm just shy

User avatar
mimpkin
Posts: 860
Joined: Sat Aug 02, 2008 3:15 pm
Last.fm: http://www.last.fm/user/mimpers

Re: Triangles, parallelograms and Shimura curves: Maths!

Post by mimpkin » Thu Jun 09, 2011 6:45 am

The other day I found this website for a mathematical art competition

http://jmm.submit.bridgesmathart.org/

The texts about each piece do not make much sense to me as a non mathematician but some of the images are interesting. I particularly like Susan Happersett's work and there is a great stop motion animation on her own website called 'Chaos' which is quite mesmerising.

http://www.happersett.com/video
totally wicked and equally ace

User avatar
Big Nose
Posts: 1289
Joined: Tue Oct 02, 2007 9:27 am

Re: Triangles, parallelograms and Shimura curves: Maths!

Post by Big Nose » Fri Jun 10, 2011 8:10 pm

"Chaos" is amazing in and of itself. But I love the fact she did it with set squares and pens/pencils. That could be done procedurally these days in seconds, but the fact she did manually, over 6 months, makes it more amazing.
My apple pies go off today.

User avatar
mimpkin
Posts: 860
Joined: Sat Aug 02, 2008 3:15 pm
Last.fm: http://www.last.fm/user/mimpers

Re: Triangles, parallelograms and Shimura curves: Maths!

Post by mimpkin » Fri Jun 10, 2011 11:54 pm

Yes, I really like the hands, set squares etc, that appear every so often to show that it was drawn and not made by a computer.
totally wicked and equally ace

Post Reply

Who is online

Users browsing this forum: No registered users and 1 guest