Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
General Math
Calculus
Differential Equations
Topology and Analysis
Linear and Abstract Algebra
Differential Geometry
Set Theory, Logic, Probability, Statistics
MATLAB, Maple, Mathematica, LaTeX
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
General Math
Calculus
Differential Equations
Topology and Analysis
Linear and Abstract Algebra
Differential Geometry
Set Theory, Logic, Probability, Statistics
MATLAB, Maple, Mathematica, LaTeX
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Mathematics
General Math
Looking for a coordinate system
Reply to thread
Message
[QUOTE="coolnessitself, post: 2618096, member: 1711"] I'm working with a cartestian system that has certain periodic properties I'd like to exploit with a new coordinate system, but I don't know one that would work. The trajectory of the state of the system is symmetric across non-adjacent squares (ie a checkerboard of sorts), so that [tex](x,y)[/tex] can always be contained in [tex][-a, a], [-b, b][/tex], if the following are true. Along y, the plane wraps up on itself at b, so that [tex](x,-b)=(x,b)[/tex]. For x, if the state travels beyond a, it goes back to -a, but y will also be shifted, so that [tex](a,y) = (-a,y+b)[/tex]. Note that this shift might also cause a jump in y from [tex](x,-b)=(x,b)[/tex]. So wrapping in y means I curl my cartesian into a cylinder, and the wrapping in x might change the cylinder into a torus, but it would have to be twisted somehow so that [tex](a,y) = (a,y+b) [/tex], which toroidal coordinates wouldn't allow(?). I'm not really sure what to search for. Suggestions? [/QUOTE]
Insert quotes…
Post reply
Forums
Mathematics
General Math
Looking for a coordinate system
Back
Top