Curiously I am vaguely recalling a post with a similar graphic to the above but the topic evades me at the moment.  Can't recall if it had to do with transparency or not but the graphic looks quite familiar or similar at least.

How can we plot with openings?

How can we plot with openings?

how is this bus character still spamming

Well it was worth a quick try.  For something like x^4 + y^(1/2) the plot carries undefined values which causes it then to choose implicitplot3d and create a graph nothing like what it should look like.

Well it was worth a quick try.  For something like x^4 + y^(1/2) the plot carries undefined values which causes it then to choose implicitplot3d and create a graph nothing like what it should look like.

implicit=true is a good idea.  As you say to what extent does maple have to keep looking for alternative coordinate systems.  But also to what extent do we have to keep adding commands to suite our needs (no offense intended).

However, that is a nice question Jakubi asks at the end.  If adaptive mesh is used for implicitplot3d why too isn't it automatically available for plot3d?

implicit=true is a good idea.  As you say to what extent does maple have to keep looking for alternative coordinate systems.  But also to what extent do we have to keep adding commands to suite our needs (no offense intended).

However, that is a nice question Jakubi asks at the end.  If adaptive mesh is used for implicitplot3d why too isn't it automatically available for plot3d?

So it is a difficulty for the rectangular coordinate system.

So it is a difficulty for the rectangular coordinate system.

The online 3d function grapher here appears to use the Maple 12 engine

http://www.livephysics.com/tools/mathematical-tools/online-3-d-function-grapher/

hence exhibits the same results.

stranger things happen when you include the grid options or numpoints option.

That is a great point.  It was no wonder I did not know about it until Acer pointed it out. 

hm, not sure but seemed the same as this
http://www.maplesoft.com/applications/view.aspx?SID=132223&view=html

probably just that .. a test.

A welcome read. 

One graph that bugged me was this.

with(plots):
plot3d(sqrt(25-x^2-y^2),x=-6..6,y=-6..6)