It appears that there is some bug in contourplot (Maple 7 linux). The combination of
variable range for y, filled=true and explicit contours produces a large red triangle
(side 10^14) for (x^2+y^2)^(1/4)
. Changing the exponent from 1/4 to 1/2 or 1/3
yields the expected plot. 1/5 and 1/6
also produce triangles.
This plots nonsense:
contourplot((x^2+y^2)^(1/4),x=-2..2,y=-(4-x^2)^(1/2)..(4-x^2)^(1/2), filled=true,contours=[0,.2,.4,.6,.8,1,1.1,1.2,1.3]);
These plot something reasonable:
contourplot((x^2+y^2)^(1/4),x=-2..2,y=-2..2,filled=true, contours=[0,.2,.4,.6,.8,1,1.1,1.2,1.3]); contourplot((x^2+y^2)^(1/2),x=-2..2,y=-(4-x^2)^(1/2)..(4-x^2)^(1/2), filled=true,contours=[0,.2,.4,.6,.8,1,1.1,1.2,1.3]); contourplot((x^2+y^2)^(1/4),x=-2..2,y=-(4-x^2)^(1/2)..(4-x^2)^(1/2), filled=true,contours=10);
The bug seems to be fixed in Maple 8.
I get the same bug in Maple 8 (U. Klein)