I've been building shapes using piece wise functions however, for more complexed shapes and curves, I've been told to use parametric equations or multivariable equations. I want to know how to create certain unique curves as well as easy methods for creating polygons on a graph. I want to understand easier methods for creating say, shapes like the batman symbol without having to use tedious piece wise functions and instead find a way to create a single equation like this image here.
Asked
Active
Viewed 333 times
0
-
Any shape with corners is (likely) to need a piecewise definition. For smooth shapes, look up splines. – Ethan Bolker Nov 02 '17 at 18:37
-
See this posting and replies. – Robert Israel Nov 02 '17 at 18:55
1 Answers
0
wow! I would love to know how interesting shapes can be created on graph, but I used to know that plotting $(x^2+y^2-1)^3 = x^2y^3$ gives us a love shape. for something that looks much as atom but when zoomed out looks like whatsapp default chat wallpaper plot $sin(x^2+y^2) = cos(xy)$.
but I feel that plotting specific interesting shapes like the Batman symbols would give rough polynomial or complex parametric stuff
-
I've built tanks and other symbols on graphs before using piece wise functions, its not too hard for those shapes, I've used existing shape equations to do it rather than a totally unique parametric or multivariable equation – NGST01 Nov 02 '17 at 19:08