Re: Third dimension...

On 31 íj, 18:52, "jay1b...@xxxxxxx" <jay1b...@xxxxxxx> wrote:
On Oct 31, 10:28 am, David W. Cantrell <DWCantr...@xxxxxxxxxxx> wrote:

What is to the third dimension as a point is to the first dimension and as
a line is to the second dimension?

As I noted in my original response, the answer should be "plain" to see.

David

Well put. Now ... borrowing that...

What is to the fourth dimension
as a point is to the first dimension,
as a line is to the second dimension and
as a plain is to the third dimension?

Regards,
Jay Bala.

When you have a line, you need 2 points to make from it an abscissa.
When you have two lines (parallel), you need 2 lines to make from it
a square or a rectangle.
When you have a tube with a square profile, you need 2 squares to make
from it a cube.
When you have a tube with a cubical profile, you need 2 cubes to make
from it a 4-dimensional cube. Two free ends in the new dimension must
be closed, always. Plugs in (n + 1) dimensions have n-dimensions.
Write all vertices of 4-dimensional cube as (0,0,0,0) till (1,1,1,1).
You get 16 vectors giving position of vertices. 8 from them have on
the last place 0. They form 3 dimensional cube, the first side of the
higher dimensional cube.
kunzmilan

.

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