Gallery
Hilbert modular surfaces
Snow falling on cedars
Billiards
Pentgaon
Unfolding
Pentagons (Dance:
Diana Davis)
Trapped
L-shaped reality
(Duchin)
L-shaped table (Bowman)
Zero flux Peano curve
Saddle
Connections
Polygon Flux
W44
(Mukamel)
Dynamics on K3 surfaces
K3 movie
K3 surface
Tame
Wilder
Ergodic
Stable manifold
Droplets
Tame blowup
K3s in color
Poncelet's theorem
Poncelet Java
(Schwartz)
Dynamics on a (2,2) curve
Dynamics on Fermat quartic
Curvature Flow
*Starfish -
trace
*Matisse -
trace
Flying beetles (D. Gehktman)
Dynamics on blowups of P
2
9 points : pencil of cubics
10: dynamics
/
cusp
11: dynamics
/
cusp
11: dynamics
/
conic+line
-- inverse dynamics
/
11 points: Siegel disk
12: dynamics
/
three lines
Invariant smooth cubic
Stable/unstable manifolds
Conway's map (y,y-1/x)
Hyperbolic plane
Triangles and curvature
Octagons
Pentagons
Decagons
SL
2
Z
Q/Z and unit disk
{{2,1},{1,1}} geodesic
Gamma(2)
Ideal triangles
Farey packing
Geodesics
Horoballs
SL
2
Z lamination
Torus lamination
Open Riemann surface
Complex analysis
Hexponential for 3
1/3
Hexponential for 2E
Hexponential horocycle
Airfoils
Streamlines
Complex roots movie
|Zeta(s)| on s=1/2+it
Random QC map
(Rohde)
Solving polynomials
Historical overview
Newton's method
Newton's bifurcations
Solving the cubic
Solving the quintic
Solving the sextic
(Crass)
Teichmüller space
Maskit slice
Bers slice - square torus
Bers slice - hex torus
Anosov slice
Exotic slice
Animated slices
(Dumas)
Holomorphic motion
Teichopsia
PML
3-Manifolds
Not Knot
(Geom Ctr)
Poincaré sphere
(Jenn3D)
Celtic knot
Tait and Little's tables
Platonism
The 5 solids
Kepler's orbs
Golden rectangles
Icosahedron movie
Icosahedral dynamics
Poincaré recurrence
17 kinds of wallpaper
Fractional dimension
Random walks
Koch curve
Hironaka's M-curve
Riemann's curve
Diffusion limited aggregate
DJIA
Percolation
More percolation
(Julia Fish)
Topology
Plane filling foliation
Bicycle tracks?
1881: Klein discovers ribbon graphs
Outer space
Kleinian groups
Sierpinski carpet limit set
Quasifuchsian reflections
Poincaré's discussion
Cusp group
Near cusp
Alg/Geom Limits
Characteristic Manifold
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)
Mandelbrot set
Mandelbrot set
Hairiness of M
M near Fibonacci
M Obscura
Quadratic polynomials
M_1
Basilica (z
2
-1)
Rabbit
Tuned Rabbit
Tree (z
2
+ i)
Draped tree
(à la
Christo)
Lamination for z
2
+ i
Cusped curve (z
2
+ 1/4)
Nonstandard Parabolic
(Cheritat)
Satellite
Cantor set and foliations
Quadratic rational maps
0/1 Blaschke product
1/3 Blaschke
product
Blaschke product - horocylic
Bifuractions
Bifurcations in a(z+1/z+t)
Bifurcations in Per_1(attr)
Bitransitive period 3
(cf. S
3
Quartic)
Yin and Yang
Complex dynamics
Sierpinski carpet Julia set
Cubic polynomial
Cubic rational map
Icosahedral maps
Deg 29 movie
Exponential map
Lattès Orbit (z-i)
2
/(z+i)
2
Hexagonal Lattès
Lightning
(Hironaka)
Napoleon map
and
Napoleonic bifurcations
Complex dynamics movies
Julia movie
Dancing Cantors movie
Mandelbrot zoom movie
Mandelbrot set tour
Mating
(Buff)
Illegal Mating
(Cheritat)
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
Number theory
Factorization
(Schwartz)
Copyright (c) 2009
Curtis T McMullen