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Gallery by Curtis T McMullen

Gallery by Curtis T McMullen  
Roger Bagula
From:Roger Bagula
Subject:Gallery by Curtis T McMullen
Date:Thu, 25 Nov 2004 20:30:06 GMT



Gallery


Hyperbolic plane


Triangles and curvature

Pentagons
SL2 Z
Gamma(2)
Ideal triangles

Farey packing
Geodesics
Horoballs
Surface of genus 2

Torus lamination

Open Riemann surface



Complex analysis

Hexponential for 31/3

Hexponential for 2E
Hexponential horocycle

Airfoils
Streamlines
Complex roots movie

|Zeta(s)| on s=1/2+it



Solving polynomials

Historical overview

Newton's method

Newton's bifurcations

Solving the cubic

Solving the quintic

Solving the tic
(Crass)


Teichmüller space

Maskit slice
Bers slice - square torus

Bers slice - hex torus

Anosov slice
Exotic slice
Animated slices (Dumas)

Holomorphic motion



Platonism

The 5 solids

Kepler's orbs
Golden rectangles

Icosahedron movie

Icosahedral dynamics



Fractional dimension

Random walks
Koch curve
Hironaka's M-curve

Riemann's curve
Diffusion limited aggregate

DJIA
Percolation
More percolation
(Julia
Fish)


Topology

Celtic knot
Bicycle tracks?

Outer space


Kleinian groups

Sierpinski carpet limit set

Quasifuchsian reflections

Cusp group
Near cusp
Alg/Geom Limits

Honeycomb cusp
Apollonian gasket

Whitehead link
SL_2(Z[i])

Whitehead's carpet

Figure 8 orbifold fiber

Totally degenerate group

Griffin
Snowflake &
blowup
Convex hull
Bubbles
(Brock)


Kleinian movies

Jellyfish movie

Whitehead movie

The Blob movie
(Brock)

Apollonian movie

(Dumas)


Quadratic polynomials

Mandelbrot set
Tree (z2 + i)
Draped tree
(à la
Christo)
Lamination for z2 + i

Cusped curve (z2 + 1/4)

Rabbit
Satellite
Cantor set and foliations



Complex dynamics

Sierpinski carpet Julia set

Cubic polynomial

Cubic rational map

Degree two rational maps

Icosahedral maps

Deg 29 movie

Exponential map

Lattès Orbit (z-i)2/(z+i)2

Lightning
(Hironaka)
Napoleon map
and
Napoleonic bifurcations



Complex dynamics movies

Julia movie

Dancing Cantors movie

Mandelbrot zoom movie

Vanishing limb movie



Renormalization

Cascade of bifurcations

Window of period 3

Small M in M
Colorful M in M

Feigenbaum Julia set

Golden Siegel disk

Golden circle map



Dynamics on K3 surfaces

K3 movie
K3 surface
Tame
Wilder
Ergodic
Stable manifold

Tame blowup

Poncelet's theorem

Poncelet Java

(Schwartz)
Dynamics on a (2,2) curve



Number theory

Factorization

(Schwartz)


Billiards

Pentgaon
Unfolding

Trapped
L-shaped reality

(Duchins)
Zero flux Peano curve



------------------------------------------------------------------------
Copyright (c) 2004
Curtis T McMullen
http://www.math.harvard.edu/~ctm/gallery/menu.html

Respectfully, Roger L. Bagula

tftn@earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :
alternative email: rlbtftn@netscape.net
URL : http://home.earthlink.net/~tftn
   

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