Name: A Caltech Student 2009-10-30 4:56
That's it. I'm sick of all this "Masterwork Dihedral Group" bullshit that's going on in mathematics right now. The quasidihedral group of order 16 deserve much better than that. Much, much better than that.
I should know what I'm talking about. I myself commissioned a genuine QD-16 in Germany for 2,400,000 Euros (that's about $35,596,800) and have been practicing with it for almost 2 years now. I can even cut slabs of solid steel with my QD-16.
German algebraists spend years working on a single group and fold it up to a million times to produce the finest mathematical structures known to mankind.
The QD-16 is thrice as complex as the Klein-4 group and four times as large for that matter too. Anything the quaternions can represent, the QD-16 can represent better. I'm pretty sure the QD-16 could easily show the symmetries of a square with just one of its subgroups.
Ever wonder why analysts never bothered learning algebra? That's right, they were too scared to work with the disciplined algebraists and their QD-16 of destruction. Even in World War II, American soldiers targeted the German algebraists first because their mathematical knowledge was feared and respected.
So what am I saying? The QD-16 is simply the best group that the world has ever seen, and thus, requires more respect in math. Here is the presentation I propose for the QD-16:
(Finite Group) Order 16. Generators: [math]s,t[\math]. [math]s^8=t^2=1,st=ts^3[\math].
Now that seems a lot more representative of the mathematical power of the QD-16 in real life, don't you think?
tl;dr =The quasidihedral group of order 16 needs more respect in mathematics , see my new stat block.
I should know what I'm talking about. I myself commissioned a genuine QD-16 in Germany for 2,400,000 Euros (that's about $35,596,800) and have been practicing with it for almost 2 years now. I can even cut slabs of solid steel with my QD-16.
German algebraists spend years working on a single group and fold it up to a million times to produce the finest mathematical structures known to mankind.
The QD-16 is thrice as complex as the Klein-4 group and four times as large for that matter too. Anything the quaternions can represent, the QD-16 can represent better. I'm pretty sure the QD-16 could easily show the symmetries of a square with just one of its subgroups.
Ever wonder why analysts never bothered learning algebra? That's right, they were too scared to work with the disciplined algebraists and their QD-16 of destruction. Even in World War II, American soldiers targeted the German algebraists first because their mathematical knowledge was feared and respected.
So what am I saying? The QD-16 is simply the best group that the world has ever seen, and thus, requires more respect in math. Here is the presentation I propose for the QD-16:
(Finite Group) Order 16. Generators: [math]s,t[\math]. [math]s^8=t^2=1,st=ts^3[\math].
Now that seems a lot more representative of the mathematical power of the QD-16 in real life, don't you think?
tl;dr =The quasidihedral group of order 16 needs more respect in mathematics , see my new stat block.