... I overlooked the obvious point that whenever you've got a function with one variable on one side of the equation, you can just parameterize it by replacing...
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Haven't quite got the angle contours and the radial contours both lined up with the checkerboard pattern. Need to fiddle with the scale factor a little. It...
I think I already know the answer to this, but is there any way to get a decent random noise signal plot in GC? It would be great to be able to input the power...
... http://mathworld.wolfram.com/CliffRandomNumberGenerator.html has ... Unfortunately, GC doesn't do recursion, but you could write out a table of 100 or so...
Your MathWorld link concludes: "This simple generator passes the noise sphere test for randomness by showing no structure." I think my lecture this morning...
This combination seems to work best in this case, where there's 3-fold cylindrical symmetry and where the evolution of the graph with higher n can be clearly...
I have just bought this package and have a basic problem: if I add text in the math pane and then save the file, when I reopen it, the text does not appear!...
Has anyone come up with a good way to plot Poincre sections in GC? The trouble I'm having is that I haven't thought of a good way to plot many points. David...
I'm trying to get a neat slice-off of a torus along the plane of the Villarceau circles. One way to do this seems to be to find the equation for the curve...
Since the height can be expressed in terms of the projected distance to a point and the wheel-radius ("c" here) and tube-diameter ("a") of the torus, we can...
Haven't quite got the bottom half working, and this is pretty kludgy, but it points the way to taking general sections of a torus. Change "m" to change the...
There hasn't been anything on the site lately, so just thought I'd pass this along. Still plugging away at graphing toruses. Can't find the notes that I got...
I think I'm most of the way to being able to cut off a torus cleanly with an intersecting plane. Here's a step on the way: cutting off a parametric cylinder...
Almost there. One general approach is to find the parametric equation of the intersection curve from the two parametric equations for the surface. I'm not sure...
Not quite perfect, but seems to achieve the goal of slicing off a cylinder cleanly with an inclined cutting plane, whatever the angle. Angle of cutting plane...
Here, the surface has been colored by the value of the parameter u. It would seem better to me to be able to color the surface with cleanly cut-off,...
Got it simplified. All the drawing uses two functions, for the left and right halves of the cylinder: Different forms and combinations of parameters let you do...
Sorry, the last version didn't have the degree mark put in for the angle of rotation. Here's the fixed version. If you rotate to minus the angle of the cutting...
Aiming to rotate the cones around and up and down, like search lights, to illustrate conic sections as projections more vividly. The cone function has been...
Here are some linear algebra examples where you can experiment with the different effects of doing transformations in different orders. You have to be careful...
Just trying to figure out if the intersection of two circular cones is always two straight lines, even if they have different slant angles. Looks like it. Also...
