Site Map - GeneticsOfPolygons.org

1.      Home

2.      Chronology

3.      Affine transformations

4.      Webs

5.      Winding numbers

5.1.   Density plots - 3D plots

6.      Projections

7.      Scaling and First Families

8.      Summary of dynamics of the Tangent Map

8.1.   Regular polygons: N = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 281

8.2.   Non regular polygons

8.2.1.      Penrose Kite

8.2.2.      N5 Kite

8.2.3.      Lattice polygons

8.2.4.      Woven polygons

8.2.5.      The semi-circle

9.      Related Maps

9.1.   Inner billiards

9.2.   Dynamical systems - continuous and discrete

9.3.   Digital filters (For the related maps below please use the Content Map in the Digital Filter Pdf)

9.3.1.      Digital filters in 3 dimensions

9.4.   Analog to digital converters

9.5.   Standard map and Hamiltonian dynamics

9.5.1.       Delta kicked rotor

9.5.2.      Cold atoms and quantum physics

9.6.   Sawtooth standard map

9.7.   Kicked harmonic oscillator (KHO)

9.7.1.      Web map

9.7.2.      Harper's kicked map and chaotic transport

9.7.3.      Dissipative kicked harmonic oscillator (DKHO)

9.8.   Complex valued mappings

9.8.1.      Irrationally indifferent fixed points and the KAM Theorem

9.8.2.      Siegel disks and Julia sets

9.8.3.      Return to DKHO

10.  Software  (the folder)

10.1.     Nodd.nb

10.2.     NTwiceOdd.nb

10.3.     NTwiceEven.nb

10.4.     NonRegular.nb

10.5.     DfMaps.nb

10.6.     InnerBilliards.nb

11.  Tangent Map algorithm

12.  Cyclotomic fields and construction of regular polygons

13.  Animations (the folder) - see also Animations.pdf

14.  Pdf's   (the folder)

15.  Cdfs (the folder) - manipulates in Mathematica

16.  Images in jpg and postscript

17.  References and Bibliography (see bottom of Home page)