I just realized that a lot of users of Graphing Calculator may not have GC 3.5. If you're interested in any of the files or techniques I've mentioned, most of...
This is just a preliminary attempt. Still haven't done much with it. Just shows how much 3D tubes and arrows help to visualize the whole subject of vectors, at...
Here I've added a colored-in parallelgram face. What might help is to have a grid on the parallelogram that adjusted so that each cell on the grid always had...
Illustration of the cross-product as the area of the parallelogram determined by two vectors. 3D arrows, one rotating around, with parallelogram colored in and...
Here's an example of graphing projective transformations using 2 panes. Should work with GC 3.2. Let me know, if not, and I'll fix it. Also, coloring in...
The sgn( ) function (sign function) gives a good way to have surfaces of rotation around a vector in any orientation. So it's one way to graph a 3D tubular...
Here's a way to do 3D arrows around any vector running from point V to point W . It involves using step functions as cutoffs, to graph the shaft and arrowhead....
The first file illustrates the example in the Help for GC. It also shows a neat way to have a "glow" coming out of a corner. The next one shows a 3D table of...
It's easy to get horizontal and vertical dashed lines by using the sgn (sign) function. The basic idea is to increase the step and put one of the lines off...
Here's a version that I think will work with GC 3.2. Also, turns out I didn't need to convert the complex numbers to vectors; it can all be done with complex...
Here's a graph of one of the 3 identical right pyramids that a cube can be split up into. The next step is to show how the 3 go together, and then to show how...
GC users, I haven't got the exact rotations to get the cube with one of its main diagonals lined up along the z-axis, the way we'd like to so it will spin...
Here's one of the 3 identical pyramids that makes up a cube. Thanks to Jorge for the tip about having the color spread from the vertex. Also shown, the...
Here's an example where you really see all the possibilities, using two animated points put in motion by the slider. The other 4 points can be dragged around...
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the GraphingCalcUsers group. File :...
GraphingCalcUsers@yah...
Nov 9, 2005 2:04 pm
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Hello, On another list I've been posed with demonstrating the transformation resulting from the composition of two reflections through planes. Could anyone...
Thank you! The next question that has me stumped, is there an easy algebraic way to see that the transformation made by composing two reflections must be a...
... Well, at least the attached file shows a nice visualization of reflections. It's a revelation to me how the spin of the globe is reflected. GC does an...
I did a little editing on the attached file in BBEdit, and since then it looks like all the variables get set to 1. The problem is with my definition of P, I...
The following may help show what I'm trying to do. The red arrow is supposed to be on the plane (the black and gray target-like disk) and the sliders are...
I've been having a hard time with how involved the calculations can get for tube-plotting. Using the components and calculating the normal vectors (i.e., the...
For some reason GC doesn't accept a function call involving subscripted variables in the dot-products here: However, as shown by the clipping, it works OK if I...
Here's where GC really shines, once again. I never would have believed this without seeing it. Shows how whenever you "reflect" a surface across a plane, in...
Shows globe being turned inside out as it's reflected across plane. Used two surfaces to have inverted colors on "inside". Cheated a little by exanding the...
Here you can vary the size of the sector with a slider. Makes the "turning inside out effect" more vivid. Maybe it's a little misleading to talk about the...
