I frigging love math

Comments

• Calica

  2017-08-31 23:19:01

  Sup bitches, witches, Haters, and trolls.

  exercise: find the degree of the function given only the colors in the boundary
• Odradek

  2017-08-31 23:20:41

  My dreams exceed my real life

  
• Klinotaxis

  2017-08-31 23:33:53

  kill living beings
  

  Calica said:

  exercise: find the degree of the function given only the colors in the boundary

  i'm gonna say... bachelor's
• glennmagusharvey

  2017-08-31 23:49:02

  what is this plot?
  
• Bee

  2017-09-01 00:45:19

  Calica said:

  exercise: find the degree of the function given only the colors in the boundary

  I count 4 rainbows and 2 double rainbows, so one would assume 8 even without peeking.
• Calica

  2017-09-01 04:49:42

  Sup bitches, witches, Haters, and trolls.

  I said only the boundary so you'd just count the eight rainbows :p
• Calica

  2017-09-01 04:50:00 edited 2017-09-01 04:50:22

  Sup bitches, witches, Haters, and trolls.

  I also said that because that's kind of the proof of the fundamental theorem of algebra from a paper i recall with graphs almost exactly like that one
• Calica

  2017-09-01 04:51:09

  Sup bitches, witches, Haters, and trolls.

  by which i mean literally that graph
• Yarrun XIX

  2017-09-01 04:55:18 edited 2017-09-01 04:57:21

  Whores! we want "poems that kill."
  Assassin poems, Poems that shoot
  guns. Poems that wrestle cops into alleys
  and take their weapons leaving them dead

  A discussion about higher-level math notation was had. A paper was linked. And I found joy where I had previously found very little.
• Yarrun XIX

  2017-09-01 05:14:09 edited 2017-09-01 05:16:03

  Whores! we want "poems that kill."
  Assassin poems, Poems that shoot
  guns. Poems that wrestle cops into alleys
  and take their weapons leaving them dead

  glennmagusharvey said:

  what is this plot?
  

  Details are in the paper Calica linked, but,

  
  

  Okay, so, let's say you have a function that has a complex input and output. You want to graph that sucker without using 4-D graphs, because nobody needs that. So, you map all relevant points to a color wheel using polar coordinates. The degree of the point determines the color, with red being 0 and cyan being pi and so forth, and the distance from the origin determines the brightness, with dark = low and light = high. And that color is used for the output of that function

  
  

  So the position of each point is the 'z' value, mapped onto the real and imaginary axes, and f(z) is the color. You following me?
• glennmagusharvey

  2017-09-01 06:09:37

  Yarrun XIX said:

  glennmagusharvey said:

  what is this plot?
  

  Details are in the paper Calica linked, but,

  
  

  Okay, so, let's say you have a function that has a complex input and output. You want to graph that sucker without using 4-D graphs, because nobody needs that. So, you map all relevant points to a color wheel using polar coordinates. The degree of the point determines the color, with red being 0 and cyan being pi and so forth, and the distance from the origin determines the brightness, with dark = low and light = high. And that color is used for the output of that function

  
  

  So the position of each point is the 'z' value, mapped onto the real and imaginary axes, and f(z) is the color. You following me?

  Ahh, I see.
  
• vtk

  2017-09-01 12:11:09

  embrace the confusion
  

  I'm up an hour past bedtime because I was focused on an art project involving both projective and hyperbolic geometry, plus quaternions.
• Yarrun XIX

  2017-09-01 13:20:39

  Whores! we want "poems that kill."
  Assassin poems, Poems that shoot
  guns. Poems that wrestle cops into alleys
  and take their weapons leaving them dead

  Ah jeez, I was in a depressive funk when they taught quaternions
• Calica

  2017-09-01 17:31:05

  Sup bitches, witches, Haters, and trolls.

  vtk said:

  I'm up an hour past bedtime because I was focused on an art project involving both projective and hyperbolic geometry, plus quaternions.

  What's the art project if you don't mind me asking
  
• vtk

  2017-09-01 21:12:10

  embrace the confusion
  

  Six-coloring the real protective plane, significantly over-thought. What else would it be? :-P