ENCYCLOPEDIA  OF  POLY GEOMETRY

(EPG)

  

This  encyclopedia  is  dedicated  to  Poly-figures.

A Poly-figure is a figure consisting of n points and/or n lines,

where n is a natural number.

 
 

                    E P G - D E F I N I T I O N S

 P R O P E R T I E S

n Point Example

 An n-Point is a geometrical figure consisting of n points,
where n is a natural number.
There is no order in these points.
Abbreviation: nP-
 
 
  
  An n-Point contains:
  • n!/(n-2)!/2! connecting lines
  • n!/(n-3)!/3! component 3-Points (Triangles)
  • n!/(n-m)!/m! component m-Points (m<n)
  • (n-1)!/2 component n-Gons

n Line Example

An n-Line is a geometrical figure consisting of n lines,
where n is a natural number.
There is no order in these lines.
Abbreviation: nL-
 
 
 
  An n-Line contains:
  • n!/(n-2)!/2! intersection points
  • n!/(n-3)!/3! component 3-Lines (Triangles)
  • n!/(n-m)!/m! component m-Lines (m<n)
  • (n-1)!/2 component n-Gons

n Gon Example

 An n-Gon is a geometrical figure consisting of n
 consecutive points and n consecutive connecting lines,
where n is a natural number.
 There is a cyclic order in these points & lines.
Abbreviation: nG-
  An n-Gon contains:
  • n cyclically ordened points
  • n cyclically ordened lines
  • n*(n-3)/2 diagonals
 

Introduction to Poly Geometry

 
 

The results of EPG can be downloaded as a PDF-file.   
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