Profile

Cover photo
Bill Yates
Worked at Printing Company
Attended Centralia High School
Lived in Centralia, IL
135 followers|2,155 views
AboutPostsPhotosVideos

Stream

Bill Yates

Shared publicly  - 
1
Add a comment...

Bill Yates

Shared publicly  - 
 
I haven't read the Illuminatus trilogy, but the Atlas Sucked summary is pretty good.
1
Add a comment...

Bill Yates

Shared publicly  - 
1
Add a comment...

Bill Yates

Shared publicly  - 
1
1
Add a comment...

Bill Yates

Shared publicly  - 
 
 
My favorite day of the week #caturday mixed with my favorite topic science ....
1
Add a comment...
In his circles
1,771 people
Have him in circles
135 people
Sam Stawarz's profile photo
Matteo Ianneo's profile photo
Karen Ware's profile photo
Darrell Mays's profile photo
Ted Young's profile photo
Angela Thompson's profile photo
Marcus O'Rion's profile photo

Bill Yates

Shared publicly  - 
 
 
+Vladimir Bulatov does it again!  At each moment, this movie shows you a tiling of the hyperbolic plane by pentagons, four meeting at each corner, mapped onto a disc with four slits cut out.  This mapping is conformal, meaning that it preserves angles.  As time passes, the hyperbolic plane rotates and we see this crazy movie.

For a more detailed explanation, with tons of great pictures, go here: http://bulatov.org/math/1001/

Here's the short version: there's a way to measure distances on a disk that makes it into a model of the hyperbolic plane.  There are actually a number of ways, but Bulatov - and Escher - use the Poincare disk model, because in this model straight lines look like portions of circles: very pretty.  Then, according to the Riemann mapping theorem you can map this disk in a conformal way onto a disk with 4 slits cut out.  The hard part is finding a formula for how to do it, and then implementing it on a computer.

For more details, try these picture-packed pages:

http://en.wikipedia.org/wiki/Conformal_map
http://en.wikipedia.org/wiki/Poincar%C3%A9_disk_model

and this more advanced one:

http://en.wikipedia.org/wiki/Riemann_mapping_theorem

#sciencesunday
1
Add a comment...

Bill Yates

Shared publicly  - 
 
 
Too funny.


(via Little White Lion on Facebook)
1
Add a comment...

Bill Yates

Shared publicly  - 
 
 
They could have picked any name, but I never understood why it was the Tea Party. I'm not one for erasing history, but when kids learn about the Tea Party in school, I'd rather it be the Boston one. The rest is just embarrassing.
1
Add a comment...

Bill Yates

Shared publicly  - 
1
Add a comment...
People
In his circles
1,771 people
Have him in circles
135 people
Sam Stawarz's profile photo
Matteo Ianneo's profile photo
Karen Ware's profile photo
Darrell Mays's profile photo
Ted Young's profile photo
Angela Thompson's profile photo
Marcus O'Rion's profile photo
Education
  • Centralia High School
    1989
Basic Information
Gender
Male
Looking for
Friends, Networking
Relationship
Single
Work
Employment
  • Printing Company
Places
Map of the places this user has livedMap of the places this user has livedMap of the places this user has lived
Previously
Centralia, IL