Summarizing Line-Symmetry
On { N+1 Symmetric Lines } in a { N-Dimension Vector Space }
by Frank C. Fung ( 1st published in March, 2016. )
Section XVII - Summarizing on Line-Symmetry
Summarizing :
- In this paper :
FIRST :
- We confirmed the existence of { N+1 Symmmetric Lines } in a { N-Dimension Vector Space } .
SECOND :
- We established the relation between :
- the { N+1 Lines in a N-Dimension Space }
and
- the { N Lines in a [ N - 1 ]-Dimension Space } .
THIRD :
- We happen to hit upon :
- a set of { 28 Symmetric Lines } in a { 7-Dimension Vector Space } ,
- while doing the Symmetric Lines Expansion via the Rectangle procedure .
FOURTH :
- We closed-out with the Cross-Diagonals of a { Quasi-Cube in N-Dimensions } .
Comment :
- Quite a bit of material to cover and lots of work ahead ,
- and this is probably only the tip-of-an-iceberg !
Original dated 2016-3-22