Jorge, ... Thanks, I plan to try that, and also check out the book. Chris...
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farouk_bonilla
Oct 25, 2005 5:16 am
I am a new GC user and I am wondering if it is possible to make slides of 3D surfaces at diferent angles other than the orthogonal ones!(i.e. y=constant or...
637
Chris Young
c1572young
Oct 26, 2005 4:38 am
Ron, I'm wondering what I'm doing wrong here. I can't seem to use a function definition and graph it in cylindrical coordinates, as shown in the attached...
638
Chris Young
c1572young
Oct 26, 2005 4:50 am
Ron, It looks like theta (and maybe Greek letters, in general) are the ones that GC objects to in function definitions. I can define and get it graphed with ,...
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Chris Young
c1572young
Oct 27, 2005 10:23 am
... Farouk, Attached is an example showing how you can use parameterized curves and the sliders to trace any kind of path you want over a surface. I didn't ...
640
GraphingCalcUsers@yah...
Oct 27, 2005 10:33 am
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 :...
641
GraphingCalcUsers@yah...
Oct 27, 2005 11:20 am
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 :...
642
GraphingCalcUsers@yah...
Oct 27, 2005 11:44 am
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 :...
643
Chris Young
c1572young
Oct 30, 2005 3:27 pm
Ron (and/or other GC users), If you've got the time, attached above are some short files where I've been trying to get a function to put tubes around vectors....
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Chris Young
c1572young
Oct 31, 2005 12:28 pm
Sorry, I forgot to say you needed "K" as well for the previous version to work. Here's a fixed version. The two GC equations below are all you need to draw...
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Chris Young
c1572young
Oct 31, 2005 12:28 pm
Here's a function to draw tubes from A to B, of any radius you choose. Still pretty slow. Note that you need to include the K_d definition along with the ...
646
Chris Young
c1572young
Oct 31, 2005 12:28 pm
Here are some graphics functions I had done in a ridiculously complicated, slow way. Should be a lot faster now. This colors in a triangular patch with vertex...
647
Chris Young
c1572young
Oct 31, 2005 12:28 pm
Sorry, I didn't have these working right for when the vertex wasn't at the origin. Here are the corrected versions, which have been uploaded to the "Graphics";...
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Chris Young
c1572young
Oct 31, 2005 12:28 pm
Sorry, a dumb typo screwed up the last version. I'm pretty sure this works OK in all cases. You just have to copy the following three definitions into your...
649
Chris Young
c1572young
Oct 31, 2005 12:28 pm
Sorry, a dumb typo screwed up the last version. I'm pretty sure this works OK in all cases. You just have to copy the following three definitions into your...
650
Chris Young
c1572young
Oct 31, 2005 12:28 pm
After simplifying, this looks like the best I can do for now for tube graphing. It's stil pretty slow on my vintage iMac. Any improvements very welcome. Still...
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Chris Young
c1572young
Oct 31, 2005 1:09 pm
Here's the final version for a triangle-shaped face. S_1 and S_2 are the endpoints of the sides here. And for a parallelogram-shaped face:...
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Chris Young
c1572young
Oct 31, 2005 1:50 pm
Here's an example of using tubes and colored faces to visualize solid geometry. This could be used in conjunction with ZomeTools, for example. This shows one...
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Chris Young
c1572young
Nov 1, 2005 8:25 am
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...
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Chris Young
c1572young
Nov 1, 2005 2:04 pm
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...
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Chris Young
c1572young
Nov 1, 2005 2:26 pm
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...
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Chris Young
c1572young
Nov 1, 2005 6:13 pm
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...
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Chris Young
c1572young
Nov 3, 2005 9:39 am
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...
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Chris Young
c1572young
Nov 4, 2005 2:22 pm
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....
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Chris Young
c1572young
Nov 8, 2005 2:50 pm
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...
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Chris Young
c1572young
Nov 8, 2005 3:12 pm
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...
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Chris Young
c1572young
Nov 8, 2005 3:14 pm
I'm trying to get the dashes to work for slanted lines. The only problem here is I always have a pair of lines....
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Chris Young
c1572young
Nov 8, 2005 5:30 pm
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...
