{ N+1 Symmetric Lines } Homepage

On { N+1 Symmetric Lines } in a { N-Dimension Vector Space }

We happen to stumble upon :
- a set of [ 28 lines ] in a { 7-Dimension Space } that intersect one-another at the exact-same angle .
The set of 28 Lines therefore do display Absolute Symmetry .

Table Of Content
	Part I --- Introduction
Section I	Introduction
	Part II --- Setting up the Symmetric Lines
Section II	{ 3 Symmetric Lines } in a { 2-Dimension Plane }
Section III	{ 4 Symmetric Lines } in a { 3-Dimension Space }
Section IV	{ 5 Symmetric Lines } in a { 4-Dimension Space }
Section V	{ 6 Symmetric Lines } in a { 5-Dimension Space }
Section VI	Symmetric Lines in { Higher-Dimensioned Spaces }
	Part III --- Hiarchy across Spaces with different Number of Dimensions
Section VII	{ Symmetric Lines in 4-D } vs. { Symmetric Lines in 3-D }
Section VIII	The Hiarchy of the { N+1 Symmetric Lines } System
	Part IV --- Absolute Symmetry vs. Relative Structural Symmetry
Section IX	Defining 2 Types of Line-Symmetry
	Part V --- Symmetry Expansion via the Retangle
Section X	Explaining Line-Symmetry Expansion via the Rectangle
Section XI	Line-Symmetry Expansion via the Rectangle for 3-D
Section XII	Line-Symmetry Expansion via the Rectangle for Higher Dimensions
	Part VI --- 28 Symmetric Lines in a { 7-Dimension Vector Space }
Section XIII	The { 28 Symmetric Lines } in a { 7-Dimension Space }
Section XIV	Structural Flexibility for the { 28 Symmetric Lines in 7-D }
	Part VII --- Line-Symmetry via the Quasi-Cube
Section XV	The Quasi-Cube in a { 4-Dimension Vector Space }
Section XVI	Line-Symmetry via the Quasi-Cube for Higher Dimensions
	Part VIII --- Summarizing and Concluding Remarks
Section XVII	Summarizing on Line-Symmetry
Section XVIII	Concluding Remarks