Triangles, parallelograms and Shimura curves: Maths!
 Martijn
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Re: Triangles, parallelograms and Shimura curves: Maths!
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.
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.
 gloom button
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Re: Triangles, parallelograms and Shimura curves: Maths!
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.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.
Incidentally, that juryrigged approach ended up solving the number spiral problem in about 1520 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.
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 Martijn
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Re: Triangles, parallelograms and Shimura curves: Maths!
Heh, that one's nice too. One that a lot of research has been done into as well.
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.
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 preknodlegde.)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.
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.

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Re: Triangles, parallelograms and Shimura curves: Maths!
Awesome maths joke stolen from Twitter:
Did you know that the "B" in Benoit B. Mandelbrot stands for 'Benoit B. Mandelbrot'?
Did you know that the "B" in Benoit B. Mandelbrot stands for 'Benoit B. Mandelbrot'?
 humblebee
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Re: Triangles, parallelograms and Shimura curves: Maths!
I love that.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'?
 lynsosaurus
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Re: Triangles, parallelograms and Shimura curves: Maths!
aw. that's just made me smile.
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 graysonscolumn
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Re: Triangles, parallelograms and Shimura curves: Maths!
;D
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Re: Triangles, parallelograms and Shimura curves: Maths!
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.
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 mimpkin
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Re: Triangles, parallelograms and Shimura curves: Maths!
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
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
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Re: Triangles, parallelograms and Shimura curves: Maths!
"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.
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 mimpkin
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Re: Triangles, parallelograms and Shimura curves: Maths!
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
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