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From: BURT on 1 Apr 2010 19:45
Directions are:

Up down
Right left
Front back

When we move through space we are moving in a 6 directional space grid
in only 3 of these directions.

Mitch Raemsch
From: Danny73 on 2 Apr 2010 00:43
On Apr 1, 7:45 pm, BURT <macromi...(a)yahoo.com> wrote:
> Directions are:
>
> Up down
> Right left
> Front back
>
> When we move through space we are moving in a 6 directional space grid
> in only 3 of these directions.
>
> Mitch Raemsch

But here on the three dimensional earth grid it
is 6 directions ---
North,South,East,West,Skyward,Earthward. ;-)





From: Danny73 on 2 Apr 2010 01:02
On Apr 2, 12:43 am, Danny73 <fasttrac...(a)att.net> wrote:
> On Apr 1, 7:45 pm, BURT <macromi...(a)yahoo.com> wrote:
>
> > Directions are:
>
> > Up down
> > Right left
> > Front back
>
> > When we move through space we are moving in a 6 directional space grid
> > in only 3 of these directions.
>
> > Mitch Raemsch
>
> But here on the three dimensional earth grid it
> is 6 directions ---
> North,South,East,West,Skyward,Earthward. ;-)

Or on the earths open seas' 3 dimensional grid --

Port,Starboard,Bow,Aft,Skyward,Davy Jones's locker.
From: Rob Johnson on 2 Apr 2010 05:16
In article <cfb6bb9b-9174-4768-ad03-ef2aa9ee7a5a(a)x12g2000yqx.googlegroups.com>,
BURT <macromitch(a)yahoo.com> wrote:
>Directions are:
>
>Up down
>Right left
>Front back
>
>When we move through space we are moving in a 6 directional space grid
>in only 3 of these directions.

Those are three directions and each direction has a positive or
negative coefficient. However, 2-forms in 4 dimensions do have 6
directions.

In R^3, all k-forms can be embedded in R^3. The 0-forms and 1-forms
can be mapped directly to constants and vectors. 2-forms, such as
rotations, have 3 dimensions, (dx^dy, dy^dz, dz^dx) and can be mapped
to vectors (dx^dy -> dz, dy^dz -> dx, dz^dx -> dy), and 3-forms, like
volumes, can be mapped to constants (the coefficient of dx^dy^dz).

In R^4 and higher, there are k-forms that cannot be embedded into the
base dimension. For example, the 2-forms in R^4 are 6-dimensional:
dx^dy, dy^dz, dz^dw, dw^dx, dz^dx, dw^dy.

Rob Johnson <rob(a)trash.whim.org>
take out the trash before replying
to view any ASCII art, display article in a monospaced font
From: Igor on 2 Apr 2010 07:02
On Apr 1, 7:45 pm, BURT <macromi...(a)yahoo.com> wrote:
> Directions are:
>
> Up down
> Right left
> Front back
>
> When we move through space we are moving in a 6 directional space grid
> in only 3 of these directions.
>
> Mitch Raemsch

But sometimes, the directions go round and round (polar coordinates),
or form open curves (hyperbolic coordinates).



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