LeafDomain.html

Region of a Maple Leaf

Example from the PscFunctions package

With the help of routines of the PscFunctions package it is possible to obtain parametric equations of plain regions with boundaries .
Here is an example of the equation of the plane region in the shape of a maple leaf. For that we use the DPolarPolygon routine that generates a parametric equation of the plane region bounded outside by a contour of a closed polyline.

> restart;
with(PscFunctions):
lstMpl:=[[0,1],[-12,4],[-9,6],[-15,14],[-6,12],[-15/2,18],[-3,16],[0,22],[3,16],[15/2,18],[6,12],[15,14],[9,6],[12,4]]:
Mpl:=DPolarPolygon(lstMpl,pole=[0,6]):
plot3d([Mpl(u,v),0],u=0..14,v=0..1,grid=[43,11],axes=BOXED,style=PATCHNOGRID,orientation=[-60,15]);
print('x'=Mpl[1](u,v));
print('y'=Mpl[2](u,v));