Some dude on a musical math group forwarded this to me, does anyone have any ideas on how this might work? =================== Saw this recently as a post to a...
1468
Bruce Rawles
bruce1618r
Mar 8, 2007 3:23 pm
In addition to entries like this one: http://en.wikipedia.org/wiki/Pendulum I would also recommend (from both a physics and artistic perspective), this book: ...
1469
dar kone
zarkorgon
Mar 9, 2007 3:25 am
Bruce, thanks very much for sending. I actually have an old book from the 1920's called the 'Pendulumograph", sounds very similiar to what you described below....
1470
Bruce Rawles
bruce1618r
Mar 9, 2007 4:04 am
Generally the oscillation terms will tend to be sinusoidal (sin and cos terms), and the exponential terms will be something like a e^(-bt) for the amplitude,...
The sine and cosine functions can also be expressed as complex functions of e. sin(x)= (e^(ix)-e^(-ix))/2i cos(x)= (e^(ix)+e^(-ix))/2 -- No virus found in...
1473
dar kone
zarkorgon
Mar 9, 2007 8:29 pm
John! Thanks for the heads up! :) "John H. Chalmers" <JHCHALMERS@...> wrote: The sine and cosine functions can also be expressed as complex...
1474
John Chalmers
jhchalme
Mar 9, 2007 8:52 pm
Happy to help out.....
1475
Alan Michelson
a.michelson
Mar 9, 2007 9:07 pm
If you don't know what cis means, then you better go to http://mathworld.wolfram.com/Cis.html <http://mathworld.wolfram.com/Cis.html> ... functions ... sin(x)...
1476
John Chalmers
jhchalme
Mar 9, 2007 9:38 pm
I do know, but Dar Kone wanted explicit functions of e....
1477
Alan Michelson
a.michelson
Mar 10, 2007 5:24 am
... functions ... sin(x) = (e^(ix)-e^(-ix))/2i = (sinh(ix))/i cos(x) = (e^(ix)+e^(-ix))/2 = (cosh(ix)) You can also check out Hyperbolic Functions ...
1478
Alan Michelson
a.michelson
Mar 10, 2007 3:58 pm
... ____________________________________________________________________________________ We won't tell. Get more on shows you hate to love (and love to hate):...
1479
Robert Webb
robertcharle...
Mar 13, 2007 2:21 pm
Hi all, I just released version 4.0 of Stella, plus a new product called Stella4D. It includes everything from Great Stella, but also includes support for 4D...
1480
Bruce Rawles
bruce1618r
Mar 13, 2007 4:27 pm
Hi Robert: Wow; looks neat; now I'll have one more reason to get a new Intel-based Mac ... unless you're planning on a Mac version soon; I'd be happy to beta...
1481
dar kone
zarkorgon
Mar 13, 2007 9:07 pm
... Subject: Reading Hexametric Rhyme Supports Cardiac Synchronization, Date: Mon, 12 Mar 2007 07:32:45 -0700 (GMT-07:00) From: rik3 <rik3@ just an article i...
1482
Alan Michelson
a.michelson
Mar 13, 2007 11:45 pm
Coming up will be a movie about The Last Mimzy <http://Mimzy.com/> . You can see both a large <http://www.mimzy.com/main/wallpaper/wall2_1280x1024.jpg> and a...
1483
Polytopia@yahoogroups...
Mar 15, 2007 6:02 pm
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the Polytopia group. File : /Craig's...
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Bruce Rawles
bruce1618r
Mar 15, 2007 8:46 pm
Lovely! :-) I really like the idea of a translucent Mobius! Neat composition! Did you render that with POV-Ray? Perhaps we can create a forum of POV-Ray models...
1485
Craig Dollimore
cdsgraphics1952
Mar 16, 2007 11:39 am
Thanks Bruce This one was built in TurboCAD and imported as a 3DS and rendered in Carrara 3D Basics. I could use my AccuTrans 3D Object Conversion Software...
1486
Alan Michelson
a.michelson
Mar 16, 2007 5:07 pm
Go to Cumulation <http://mathworld.wolfram.com/Cumulation.html> and you will see the Great Dodecahedron on the far right, (They start out with Invaginatum...
1487
Alan Michelson
a.michelson
Mar 17, 2007 5:02 am
... you mean ... (0,0,±1) ? ... But JOVO <http://www.jovotoys.com/> has 6 colors: red, yellow, blue, green, black, white! ... ...
1488
Alan Michelson
a.michelson
Mar 21, 2007 5:25 am
... It's at http://content.answers.com/main/content/wp/en/thumb/9/9b/180px-Tesseract.gif...
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dar kone
zarkorgon
Mar 25, 2007 9:21 am
Do you know if there is such a thing as a 'Dorian' Just scale, in other words a Just temperment that is Dorian? Is that possible? ... Looking for...
1490
Russ Kinter
pyth7
Mar 25, 2007 7:40 pm
Hi, You may get a faster answer from this Yahoo group: http://launch.groups.yahoo.com/group/tuning/ tc Russ Kinter _____ From: Polytopia@yahoogroups.com...
1491
Alan Michelson
a.michelson
Apr 2, 2007 5:47 pm
... File : Penrose Tilings and Wang Tilings Uploaded by : TONY 5M17H Description : Well, it actually is from his web site! ... ...
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Dick Fischbeck
dick_fischbeck
Apr 9, 2007 9:12 pm
... http://content.answers.com/main/content/wp/en/thumb/9/9b/180px-Tesseract.gif Alan- You got me thinking again about content. That search led me back to this...
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Alan Michelson
a.michelson
Apr 10, 2007 3:49 am
Maybe you should look at the Koebe's Theorem. Here, try: http://research.microsoft.com/users/lovasz/koebe.pdf ...
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rile fj
rile.fitra
Apr 10, 2007 3:59 am
Hello, my name rile, i'm in indonesia. This is still about sphere, can i get information how to make surface spherical harmonics in Matlab. I will use it for...
1495
Adrian Rossiter
adrianrossiter
Apr 10, 2007 7:59 am
Hi Dick ... That appears to be a canonicalized cube which had a pair of opposite faces split into two triangles ...
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Alan Michelson
a.michelson
Apr 10, 2007 4:31 pm
... <http://www1.ics.uci.edu/~eppstein/junkyard/edgetan.png> ... <http://www.freewebtown.com/adrian/tmp/cube_diag.gif> ... of ... 2 pi steradians = solid angle...
