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Topic: 3 dimensions and their 6 directions
Replies: 214   Last Post: Jun 3, 2010 6:36 PM

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Clifford J. Nelson

Posts: 213
Registered: 12/6/04
Re: 3 dimensions and their 4 directions
Posted: Jun 2, 2010 6:46 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

> that doesn't really parse; what do you mean to say,
> and
> have you proven it -- if implimentation in
> Wolframatism and/
> or pseudocode constitutes a proof, say that's what
> y'got.
>


The vertices of the tetrahedron (a,b,c,d) in Synergetics coordinates are
(a, b, c, -a - b - c), ? (a, b, -a - b - d, d), ? (a, -a - c - d, c, d), ? (-b - c - d, b, c, d)

The sum of the vertices divided by 4 is the center of volume of the tetrahedron (a,b,c,d)

(1/4 (3 a - b - c - d), 1/4 (-a + 3 b - c - d), 1/4 (-a - b + 3 c - d), ? 1/4 (-a - b - c + 3 d))

If a+b+c+d = 0 then the Cartesian coordinates of Synergetics coordinates (a,b,c,d) are

((1/2)*(-(2*b) - c - d), ? -((3*c + d)/(2*Sqrt[3])), ? (-Sqrt[2/3])*d)

Any mathematician can prove it.

Cliff Nelson


Date Subject Author
4/1/10
Read 3 dimensions and their 6 directions
Nick
4/2/10
Read Re: 3 dimensions and their 6 directions
dan73
4/2/10
Read Re: 3 dimensions and their 6 directions
dan73
4/2/10
Read Re: 3 dimensions and their 6 directions
Rob Johnson
4/2/10
Read Re: 3 dimensions and their 6 directions
Igor
4/2/10
Read Re: 3 dimensions and their 6 directions
James Dow Allen
4/7/10
Read Re: 3 dimensions and their 6 directions
Michael Moroney
4/2/10
Read Re: 3 dimensions and their 6 directions
Nick
4/2/10
Read Re: 3 dimensions and their 6 directions
Nick
4/3/10
Read Re: 3 dimensions and their 6 directions
Igor
4/3/10
Read Re: 3 dimensions and their 6 directions
Nick
4/3/10
Read Re: 3 dimensions and their 6 directions
nuny@bid.ness
4/3/10
Read Re: 3 dimensions and their 6 directions
Nick
4/4/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
4/5/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
4/7/10
Read Re: 3 dimensions and their 6 directions
Nick
4/8/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
4/8/10
Read Re: 3 dimensions and their 6 directions
bert
4/8/10
Read Re: 3 dimensions and their 6 directions
Nick
4/17/10
Read Re: 3 dimensions and their 6 directions
zookumar yelubandi
4/17/10
Read Re: 3 dimensions and their 6 directions
Nick
4/18/10
Read Re: 3 dimensions and their 6 directions
Nick
4/19/10
Read Re: 3 dimensions and their 6 directions
ostap_bender_1900@hotmail.com
4/19/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
4/19/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
4/19/10
Read Re: 3 dimensions and their 6 directions
Nick
4/20/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
4/20/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
4/20/10
Read Re: 3 dimensions and their 6 directions
Nick
4/20/10
Read Re: 3 dimensions and their 6 directions
ostap_bender_1900@hotmail.com
4/21/10
Read Re: Usenet: Disinfo agents, bots, spam and idiots
Thomas Heger
4/20/10
Read Re: 3 dimensions and their 6 directions
Nick
4/21/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
4/21/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
4/22/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
4/28/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
4/22/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
4/22/10
Read Re: 3 dimensions and their 6 directions
Nick
4/24/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
4/24/10
Read Re: 3 dimensions and their 6 directions
Nick
4/26/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
4/26/10
Read Re: 3 dimensions and their 6 directions
Nick
5/5/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
5/5/10
Read Re: 3 dimensions and their 6 directions
Nick
5/5/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
5/5/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
5/5/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
5/6/10
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Thomas Heger
5/6/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
5/6/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
5/7/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
5/8/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
5/8/10
Read Re: 3 dimensions and their 6 directions
Nick
5/7/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
5/8/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
5/8/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
5/9/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
5/9/10
Read Re: 3 dimensions and their 6 directions
Karl Heinz
5/9/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
5/9/10
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Karl Heinz
5/9/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
5/9/10
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Karl Heinz
5/9/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
5/9/10
Read Re: 3 dimensions and their 6 directions
Karl Heinz
5/9/10
Read Re: 3 dimensions and their 6 directions
Karl Heinz
5/9/10
Read Re: 3 dimensions and their 6 directions
Nick
5/9/10
Read Re: 3 dimensions and their 6 directions
Karl Heinz
5/9/10
Read Re: 3 dimensions and their 6 directions
Nick
5/9/10
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Karl Heinz
5/9/10
Read Re: 3 dimensions and their 6 directions
Nick
5/9/10
Read Re: 3 dimensions and their 6 directions
Karl Heinz
5/9/10
Read Re: 3 dimensions and their 6 directions
Nick
5/9/10
Read Re: 3 dimensions and their 6 directions
Karl Heinz
5/9/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
5/10/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
5/10/10
Read Re: 3 dimensions and their 6 directions
Karl Heinz
5/10/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
5/10/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
5/10/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
5/11/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
5/11/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
5/11/10
Read Re: 3 dimensions and their 6 directions
dlzc@aol.com \(formerly\)
5/11/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
5/11/10
Read Re: 3 dimensions and their 6 directions
dlzc@aol.com \(formerly\)
5/11/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
5/11/10
Read Re: 3 dimensions and their 6 directions
dlzc@aol.com \(formerly\)
5/11/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
5/12/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
5/12/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
5/12/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
5/12/10
Read Re: 3 dimensions and their 6 directions
dlzc@aol.com \(formerly\)
5/12/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
5/12/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
5/12/10
Read Re: 3 dimensions and their 6 directions
dlzc@aol.com \(formerly\)
5/12/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
5/13/10
Read Re: 3 dimensions and their 6 directions
Tim Golden http://bandtech.com
5/13/10
Read Re: 3 dimensions and their 6 directions
dlzc@aol.com \(formerly\)
5/13/10
Read Re: 3 dimensions and their 6 directions
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5/14/10
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5/19/10
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5/20/10
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Read NEW Primitive Radiometer Studies -- we use the Wiki!
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5/21/10
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5/21/10
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5/23/10
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5/15/10
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5/19/10
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5/19/10
Read Re: Primitive Radiometer Studies
Brian Q. Hutchings
5/7/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
5/8/10
Read Re: 3 dimensions and their 6 directions
Thomas Heger
5/13/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
4/21/10
Read Re: Usenet: Disinfo agents, bots, spam and idiots
Tim Golden http://bandtech.com
4/8/10
Read Re: 3 dimensions and their 6 directions
ostap_bender_1900@hotmail.com
4/8/10
Read Re: 3 dimensions and their 6 directions
Nick
4/9/10
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Michael Moroney
4/9/10
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Androcles
4/9/10
Read Re: 3 dimensions and their 6 directions
ostap_bender_1900@hotmail.com
4/9/10
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Nick
4/9/10
Read Re: 3 dimensions and their 6 directions
Nick
4/9/10
Read Re: 3 dimensions and their 6 directions
ross.finlayson@gmail.com
4/9/10
Read Re: 3 dimensions and their 6 directions
Nick
4/10/10
Read Re: 3 dimensions and their 6 directions
Clifford J. Nelson
4/20/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
4/25/10
Read Re: 3 dimensions and their 6 directions
Clifford J. Nelson
4/20/10
Read Re: 3 dimensions and their 6 directions
Brian Q. Hutchings
4/28/10
Read Re: 3 dimensions and their 6 directions
Sid
4/28/10
Read Re: 3 dimensions and their 6 directions
Paul Hovnanian P.E.
4/28/10
Read Re: 3 dimensions and their 6 directions
Nick
5/16/10
Read Re: Primitive Radiometer Studies
dlzc@aol.com \(formerly\)
5/17/10
Read Re: Primitive Radiometer Studies
Tim Golden http://bandtech.com
5/18/10
Read Re: Primitive Radiometer Studies
Brian Q. Hutchings
5/21/10
Read Hexagonal grid and its three directions
Tim Golden http://bandtech.com
5/21/10
Read Re: Hexagonal grid and its three directions
Thomas Heger
5/21/10
Read Re: Hexagonal grid and its three directions
Brian Q. Hutchings
5/22/10
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Y.Porat
5/22/10
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Tim Golden http://bandtech.com
5/22/10
Read Re: Hexagonal grid and its three directions
Clifford J. Nelson
5/23/10
Read Re: Hexagonal grid and its three directions
Thomas Heger
5/23/10
Read Re: Hexagonal grid and its three directions
Tim Golden http://bandtech.com
5/23/10
Read Re: Hexagonal grid and its three directions
Brian Q. Hutchings
5/25/10
Read Re: Hexagonal grid and its three directions
Tim Golden http://bandtech.com
5/25/10
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Thomas Heger
5/25/10
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Brian Q. Hutchings
5/25/10
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Brian Q. Hutchings
5/26/10
Read Re: Hexagonal grid and its three directions
Thomas Heger
5/26/10
Read Re: Hexagonal grid and its three directions
Brian Q. Hutchings
5/26/10
Read Re: Hexagonal grid and its three directions
Tim Golden http://bandtech.com
5/26/10
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Thomas Heger
5/26/10
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Brian Q. Hutchings
5/27/10
Read Re: Hexagonal grid and its three directions
Tim Golden http://bandtech.com
5/27/10
Read Re: Hexagonal grid and its three directions
Thomas Heger
5/31/10
Read Re: Hexagonal grid and its three directions
J. Clarke
5/27/10
Read Re: Hexagonal grid and its three directions
zookumar yelubandi
5/28/10
Read Re: Hexagonal grid and its three directions
Thomas Heger
5/28/10
Read Re: Hexagonal grid and its three directions
Tim Golden http://bandtech.com
5/28/10
Read Re: Hexagonal grid and its three directions
Brian Q. Hutchings
5/29/10
Read Re: Way off topic: oil and politics (was: Hexagonal grid and its
three directions)
Thomas Heger
5/29/10
Read Re: Way off topic: oil and politics (was: Hexagonal grid and its
three directions)
Tim Golden http://bandtech.com
5/29/10
Read Re: Way off topic: oil and politics
Thomas Heger
5/29/10
Read Re: Way off topic: oil and politics
Brian Q. Hutchings
5/30/10
Read Re: Way off topic: oil and politics
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5/30/10
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Thomas Heger
5/31/10
Read Re: Way off topic: oil and politics
Tim Golden http://bandtech.com
5/31/10
Read Re: Way off topic: oil and politics
Thomas Heger
5/29/10
Read Re: Way off topic: oil and politics (was: Hexagonal grid and its
three directions)
Brian Q. Hutchings
5/30/10
Read Re: Way off topic: oil and politics
Thomas Heger
5/30/10
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Brian Q. Hutchings
5/31/10
Read Re: oil and geology
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5/31/10
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5/31/10
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5/31/10
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5/31/10
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Brian Q. Hutchings
5/31/10
Read Re: oil and geology
vjp2.at@at.BioStrategist.dot.dot.com
5/28/10
Read Re: 3 dimensions and their 6 directions
Nick
5/30/10
Read Re: 3 dimensions and their 6 directions
Clifford J. Nelson
5/30/10
Read Re: 3 dimensions and their 4 directions
Tim Golden http://bandtech.com
5/30/10
Read Re: 3 dimensions and their 4 directions
Clifford J. Nelson
5/31/10
Read Re: 3 dimensions and their 4 directions
Tim Golden http://bandtech.com
6/1/10
Read Re: 3 dimensions and their 4 directions
Clifford J. Nelson
6/1/10
Read Re: 3 dimensions and their 4 directions
Clifford J. Nelson
6/1/10
Read Re: 3 dimensions and their 4 directions
Tim Golden http://bandtech.com
6/2/10
Read Re: 3 dimensions and their 4 directions
Clifford J. Nelson
6/1/10
Read Re: 3 dimensions and their 4 directions
Brian Q. Hutchings
6/1/10
Read Re: 3 dimensions and their 4 directions
Clifford J. Nelson
6/1/10
Read Re: 3 dimensions and their 4 directions
Brian Q. Hutchings
6/2/10
Read Re: 3 dimensions and their 4 directions
Clifford J. Nelson
6/2/10
Read Re: 3 dimensions and their 4 directions
Brian Q. Hutchings
6/2/10
Read Re: 3 dimensions and their 4 directions
Clifford J. Nelson
6/2/10
Read Re: 3 dimensions and their 4 directions
Clifford J. Nelson
6/2/10
Read Re: 3 dimensions and their 4 directions
Brian Q. Hutchings
6/1/10
Read Re: 3 dimensions and their 4 directions
Brian Q. Hutchings
6/2/10
Read Re: 3 dimensions and their 4 directions
Tim Golden http://bandtech.com
6/2/10
Read Re: 3 dimensions and their 4 directions
Clifford J. Nelson
6/3/10
Read Re: 3 dimensions and their 4 directions
Tim Golden http://bandtech.com
6/3/10
Read Re: 3 dimensions and their 4 directions
Brian Q. Hutchings
6/3/10
Read Re: 3 dimensions and their 4 directions
Brian Q. Hutchings
6/3/10
Read Re: 3 dimensions and their 4 directions
Brian Q. Hutchings

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