... This looks great!! It certainly looks plausible. There are interesting little sub-twists going on within the twists. This brings up the whole fascinating...
On Jul 31, 2006, at 7:10 PM, C Goodman-Strauss wrote: Hello, in the Advanced Applied class I'm teaching (aka A First Look at Fourier Series Stuff), we are...
Arne Landsberg
arnel@...
Aug 2, 2006 5:53 am
1065
Trying to figure out exactly what goes on with parametric graphing of a sphere. GC's built-in color-grids, striping and checkering change their order if you...
Here's a fun variation on the twisty rod file: Simply plot z=A(x,y); this shows, at x,y, the amount twisted at position x along the rod, at time y. However,...
Building on Ron's suggestion, I'm using a sphere to graph the points of a polyhedron. In this case, it's an octahedron, but if you just plug in the right...
Here are a pair of files illustrating the explanation in the Wikipedia article on the "Roman surface", http://en.wikipedia.org/wiki/Roman_surface : If you open...
I seem to have the right formula in cylindrical coordinates. I want to be able to have these grid lines, but be able to rotate and translate these shapes...
Excuse me for some stuff that's mostly of aesthetic interest, but here's a really nice symmetrical view of three wings consisting of hyperbolic paraboloids...
It helps to visualize this if you start the surface rotating around the z-axis (by pressing Option-Control-z, at least on Macs) and then press the "Play"...
Making use of the helpful "Moebius Band" file by Rodney Topor at http://www.pacifict.com/today/moebius.gcf, I've been learning a lot about rotations in...
For ellipses, I really shouldn't have had an "r" parameter and an "h" parameter. Just needed one angle parameter. But as a fringe benefit, you can get nice...
This could be a little clearer, and I need to add something for the up/down reversal. Also, it might be more accurate to actually use a single twisted surface,...
On second thought, all the colored stripes were kind of distracting, and prevented the surfaces from being at top resolution. I think this is clearer, and...
Hello everyone. I have recently joined the group and would like to access the files that are posted there - going to members/files doesn't seem to work. Also I...
James Taylor
taylj@...
Aug 5, 2006 3:32 pm
1080
Last night I uploaded a dozen or so files to the physics section, mostly concerned with waves and oscillations. They're not the works of art that Chris...
Probably a sign of my spotty mat education, but I was amazed to discover the following algebraic properties of the Golden Mean (aka Golden Ratio, Golden...
It seems to me that the "Pringles Chip" view of hyperbolic paraboloids that you get in cylindrical coordinates is the clearest. But I can't seem to rotate...
... Here is a no-frills version, with no functions, just the points and the minimum things you need to do to get lines and surfaces. I couldn't resist trying...
Just experimenting a little more with overlaying surfaces. I may have been wrong; it looks like the surfaces may get drawn with the ones listed sooner being on...
Chris Thank you very much for your explanation, although I am still thinking as to why it works. As it happens, I'd figured out a similar approach in the ...
Hi, I thought I would say something about linear interpolation. This is a simple but useful way to connect all sorts of things, and these triangular faces are...
Very nice job! I colored things symmetrically to try to make things a little clearer. Would you feel like uploading one of these versions to the Geometry ...
It turns out that if you connect the midpoints of all the short ends of the rectangles, you get an octahedron nested inside the icosahedron. I got this from...
More amusing (but a corollary) is to inscribe the icosahedron in the octahedron: eight of the faces of the icosahedron lie on the same planes as a suitably...
... Very interesting, thanks. I'm going to keep this on file for future efforts. ... This sounds like a super-cool shape to make. Will see what I can do. ... ...
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