# why the plotted function implicit doesn't have continuous surface?

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the attached pciture is a rotated cylinder which is plotted with fimplicit3 command in the interval 0 1500
the problem is I dont know why the surface of cylinder is not continuous? I checked the shape in another software that plot it continously but in matlab I have some problem.
in another screen shot you see if I changed the constant of function the plot would be continuous
here is the command i used for the plot with problem:
f = @(x,y,z) (z-x).^2+(x-y).^2+(y-z).^2-1000000;
>> interval=[0 1500];
>> fimplicit3(f,interval)  David Goodmanson on 8 Apr 2020
Hi sahand, whatever else is going on, if you do the 1e6 case with an interval of [0 1500] up to [700 1500] in steps of 100, you at least get some nice patterns.
sahand shams eshaghi on 8 Apr 2020
I still have problem
f = @(x,y,z) (z-x).^2+(x-y).^2+(y-z).^2-1000000;
interval=[700 1500];
>> fimplicit3(f,interval)
shape has more invisible body
see the attachment
I also tried [100 1500] and other ranges
still same problem
step 100 you means increment of 100 from 0 to 700 for lower range? Matt J on 8 Apr 2020
Edited: Matt J on 8 Apr 2020
Try increasing the mesh density,
fimplicit3(f,[0,1500],'MeshDensity',55); sahand shams eshaghi on 8 Apr 2020
thanks
it works perfectly now.
sahand shams eshaghi on 8 Apr 2020
is there any command in Matlab that without defining the range of plotted graph, the plotted graph be seen?
it means when I change the function costant I have to find the specific range inorder to see the shape? sometimes my interval is too small I cannot see the shape sometimes its too big as well..so by try and error I have to find the best range.
is there any command that finds the shape automatically and shows the plot? without try and error interval range?

sahand shams eshaghi on 8 Apr 2020
ok let me make my question simpler:
the interested funciton to be drawn in matlab is:
>> f = @(x,y,z) (z-x).^2+(x-y).^2+(y-z).^2-242 00 000 000;
by this function I have to increase the mesh size but it seems processor cannot run this for mesh size 400 or 500 or even more
is it any solution for this ?
seems alot of calculations involved and it takes more time