Mathematica 9 is now available
Services & Resources / Wolfram Forums / MathGroup Archive
-----

MathGroup Archive 2010

[Date Index] [Thread Index] [Author Index]

Search the Archive

3D plot of hemisphere pushing into a triangular membrane or surface

  • To: mathgroup at smc.vnet.net
  • Subject: [mg110271] 3D plot of hemisphere pushing into a triangular membrane or surface
  • From: Garapata <warsaw95826 at mypacks.net>
  • Date: Fri, 11 Jun 2010 02:09:21 -0400 (EDT)

I'd like to create a 3D plot of some kind with 2 key elements.

1. something that looks like a membrane stretched across a unit
triangle with coordinates {{1,0,0}, {0,1,0},{0,0,1}}

2. a hemisphere that would press up from behind the membrane

Basically a hemisphere pushing up through or intersecting a plane.

I'll then set up a Manipulate so I can control 3 parameters:

	diameter of the sphere;
	how far it penetrates through the plane defined by the triangle;  and
	where it penetrates the plane of the triangle.

The Manipulate should be straight forward, I think I can handle that
part easily enough.  But the plot part has eluded me.

I've searched the documentation for anything that looked relevant.

Graphics3D[{Sphere[{0, 0, 1}, 1], Sphere[{1, 0, 1}, 1/2]}, =E2=80=A8 BoxSty=
le -
> Directive[LightGray]]

Which shows 2 spheres intersecting and

Plot3D[UnitTriangle[x, y], {x, -1, 1}, {y, -1, 1}, PlotRange -> All,
BoxStyle -> Directive[LightGray]]

which shows something one could think of as a membrane both look
promising, but
I can't figure out where to go next.

I haven't done a lot of graphics with Mathematica and just need an
idea of where to start.

Any thoughts appreciated.

Thanks,
G


P.S. I made a couple of responses to thank forum participants for
their help on previous posts that never appeared in the forum.  Not
certain what happened, but belatedly, many many thanks.


  • Prev by Date: Re: Custom ContourLabels in Contour Plots
  • Next by Date: Re: Lists: Row Vectors vs. Column Vectors. (feels like such a silly
  • Previous by thread: Re: Custom ContourLabels in Contour Plots
  • Next by thread: Re: Mac OS X hard disk space used up by virtual