Gallery by Curtis T McMullen

From: Roger Bagula (tftn_at_earthlink.net)
Date: 11/25/04


Date: Thu, 25 Nov 2004 20:30:06 GMT


    Gallery

        Hyperbolic plane

Triangles and curvature
<http://www.math.harvard.edu/%7Ectm/gallery/fuchs/tris.gif>
Pentagons <http://www.math.harvard.edu/%7Ectm/gallery/fuchs/ngon5.gif>
SL2 Z <http://www.math.harvard.edu/%7Ectm/gallery/fuchs/sl2z.gif>
Gamma(2) <http://www.math.harvard.edu/%7Ectm/gallery/fuchs/gamma2.gif>
Ideal triangles
<http://www.math.harvard.edu/%7Ectm/gallery/fuchs/igon3.gif>
Farey packing <http://www.math.harvard.edu/%7Ectm/gallery/fuchs/farey.gif>
Geodesics <http://www.math.harvard.edu/%7Ectm/gallery/fuchs/geods.gif>
Horoballs <http://www.math.harvard.edu/%7Ectm/gallery/fuchs/horo.gif>
Surface of genus 2
<http://www.math.harvard.edu/%7Ectm/gallery/fuchs/ngon8.gif>
Torus lamination
<http://www.math.harvard.edu/%7Ectm/gallery/fuchs/lam.html>
Open Riemann surface
<http://www.math.harvard.edu/%7Ectm/gallery/fuchs/pants.gif>

        Complex analysis

Hexponential for 31/3
<http://www.math.harvard.edu/%7Ectm/gallery/cx/CubeRoot3.gif>
Hexponential for 2E <http://www.math.harvard.edu/%7Ectm/gallery/cx/2E.gif>
Hexponential horocycle
<http://www.math.harvard.edu/%7Ectm/gallery/cx/horoflow.gif>
Airfoils <http://www.math.harvard.edu/%7Ectm/gallery/cx/foils.gif>
Streamlines <http://www.math.harvard.edu/%7Ectm/gallery/cx/streams.gif>
Complex roots movie
<http://www.math.harvard.edu/%7Ectm/gallery/movies/cxfns.mov.gif>
|Zeta(s)| on s=1/2+it
<http://www.math.harvard.edu/%7Ectm/gallery/cx/zeta.gif>

        Solving polynomials

Historical overview
<http://www.math.harvard.edu/%7Ectm/gallery/polynom/index.html>
Newton's method
<http://www.math.harvard.edu/%7Ectm/gallery/polynom/New_3.gif>
Newton's bifurcations
<http://www.math.harvard.edu/%7Ectm/gallery/polynom/New_bif.gif>
Solving the cubic
<http://www.math.harvard.edu/%7Ectm/gallery/polynom/F4.small.gif>
Solving the quintic
<http://www.math.harvard.edu/%7Ectm/gallery/polynom/Icos.gif>
Solving the sextic <http://members.tripod.com/vismath7/crass/index.html>
(Crass) <http://www.csulb.edu/%7Escrass>

        Teichmüller space

Maskit slice <http://www.math.harvard.edu/%7Ectm/gallery/teich/maskit.gif>
Bers slice - square torus
<http://www.math.harvard.edu/%7Ectm/gallery/teich/bers.sq.slice.gif>
Bers slice - hex torus
<http://www.math.harvard.edu/%7Ectm/gallery/teich/bers.hex.slice.gif>
Anosov slice <http://www.math.harvard.edu/%7Ectm/gallery/teich/pa.gif>
Exotic slice <http://www.math.harvard.edu/%7Ectm/gallery/teich/slices.html>
Animated slices <http://hypatia.rice.edu/%7Eddumas/bear/anims> (Dumas)
<http://hypatia.rice.edu/%7Eddumas>
Holomorphic motion
<http://www.math.harvard.edu/%7Ectm/gallery/teich/holo_motion.gif>

        Platonism

The 5 solids
<http://www.math.harvard.edu/%7Ectm/gallery/gold/platonic_solids.gif>
Kepler's orbs <http://www.math.harvard.edu/%7Ectm/gallery/gold/kepler.gif>
Golden rectangles
<http://www.math.harvard.edu/%7Ectm/gallery/gold/index.html>
Icosahedron movie
<http://www.math.harvard.edu/%7Ectm/gallery/movies/a5.mov.gif>
Icosahedral dynamics
<http://www.math.harvard.edu/%7Ectm/gallery/julia/icos.html>

        Fractional dimension

Random walks <http://www.math.harvard.edu/%7Ectm/gallery/random/walks.html>
Koch curve <http://www.math.harvard.edu/%7Ectm/gallery/cx/koch.gif>
Hironaka's M-curve
<http://www.math.harvard.edu/%7Ectm/gallery/cx/Mcurve.gif>
Riemann's curve <http://www.math.harvard.edu/%7Ectm/gallery/cx/nowhere.gif>
Diffusion limited aggregate
<http://www.math.harvard.edu/%7Ectm/gallery/random/dla.gif>
DJIA <http://www.math.harvard.edu/%7Ectm/gallery/random/djia.gif>
Percolation <http://www.math.harvard.edu/%7Ectm/gallery/random/perc.gif>
More percolation
<http://www.math.harvard.edu/%7Ectm/gallery/random/fish.gif> (Julia
Fish) <http://orathost.cfa.ilstu.edu/%7Erfinch/fish.html>

        Topology

Celtic knot <http://www.math.harvard.edu/%7Ectm/gallery/topology/celt7.gif>
Bicycle tracks?
<http://www.math.harvard.edu/%7Ectm/gallery/topology/biketracks.gif>
Outer space <http://www.math.harvard.edu/%7Ectm/gallery/topology/outer.gif>

        Kleinian groups

Sierpinski carpet limit set
<http://www.math.harvard.edu/%7Ectm/gallery/klein/acy.gif>
Quasifuchsian reflections
<http://www.math.harvard.edu/%7Ectm/gallery/klein/qf.gif>
Cusp group <http://www.math.harvard.edu/%7Ectm/gallery/klein/cusp.gif>
Near cusp <http://www.math.harvard.edu/%7Ectm/gallery/klein/near_cusp.gif>
Alg/Geom Limits
<http://www.math.harvard.edu/%7Ectm/gallery/klein/alggeom.html>
Honeycomb cusp <http://www.math.harvard.edu/%7Ectm/gallery/klein/honey.gif>
Apollonian gasket
<http://www.math.harvard.edu/%7Ectm/gallery/klein/apollo.gif>
Whitehead link <http://www.math.harvard.edu/%7Ectm/gallery/klein/white.gif>
SL_2(Z[i])
<http://www.math.harvard.edu/%7Ectm/gallery/klein/whitelat.gif>
Whitehead's carpet
<http://www.math.harvard.edu/%7Ectm/gallery/klein/carpet.gif>
Figure 8 orbifold fiber
<http://www.math.harvard.edu/%7Ectm/gallery/klein/fiber.gif>
Totally degenerate group
<http://www.math.harvard.edu/%7Ectm/gallery/klein/tot.gif>
Griffin <http://www.math.harvard.edu/%7Ectm/gallery/klein/totlox.gif>
Snowflake <http://www.math.harvard.edu/%7Ectm/gallery/klein/flake.gif> &
blowup <http://www.math.harvard.edu/%7Ectm/gallery/klein/flake.big.gif>
Convex hull <http://www.math.harvard.edu/%7Ectm/gallery/klein/cvx_hull.gif>
Bubbles <http://www.math.harvard.edu/%7Ectm/gallery/klein/bubbles.gif>
(Brock) <http://www.math.uchicago.edu/%7Ebrock>

        Kleinian movies

Jellyfish movie
<http://www.math.harvard.edu/%7Ectm/gallery/movies/jellyfish.mov.gif>
Whitehead movie
<http://www.math.harvard.edu/%7Ectm/gallery/movies/whitehead.mov.gif>
The Blob movie
<http://www.math.harvard.edu/%7Ectm/gallery/movies/blob.mov.gif> (Brock)
<http://www.math.uchicago.edu/%7Ebrock>
Apollonian movie
<http://www.math.harvard.edu/%7Ectm/gallery/movies/apollo.mov.gif>
(Dumas) <http://math.harvard.edu/%7Eddumas>

        Quadratic polynomials

Mandelbrot set <http://www.math.harvard.edu/%7Ectm/gallery/julia/Mfull.gif>
Tree (z2 + i) <http://www.math.harvard.edu/%7Ectm/gallery/julia/I.gif>
Draped tree
<http://www.math.harvard.edu/%7Ectm/gallery/julia/Idraped.gif> (à la
Christo) <http://christojeanneclaude.net/wt.html>
Lamination for z2 + i
<http://www.math.harvard.edu/%7Ectm/gallery/julia/lam.gif>
Cusped curve (z2 + 1/4)
<http://www.math.harvard.edu/%7Ectm/gallery/julia/Parab.gif>
Rabbit <http://www.math.harvard.edu/%7Ectm/gallery/julia/Order3.gif>
Satellite <http://www.math.harvard.edu/%7Ectm/gallery/julia/Satclip.gif>
Cantor set and foliations
<http://www.math.harvard.edu/%7Ectm/gallery/julia/Fol.gif>

        Complex dynamics

Sierpinski carpet Julia set
<http://www.math.harvard.edu/%7Ectm/gallery/julia/Sierpinski.gif>
Cubic polynomial
<http://www.math.harvard.edu/%7Ectm/gallery/julia/Cubic_Bas.gif>
Cubic rational map
<http://www.math.harvard.edu/%7Ectm/gallery/julia/Period3.gif>
Degree two rational maps
<http://www.math.harvard.edu/%7Ectm/gallery/julia/Rat.html>
Icosahedral maps
<http://www.math.harvard.edu/%7Ectm/gallery/julia/icos.html>
Deg 29 movie
<http://www.math.harvard.edu/%7Ectm/gallery/movies/deg29.mov.gif>
Exponential map
<http://www.math.harvard.edu/%7Ectm/gallery/julia/Exp.col.gif>
Lattès Orbit (z-i)2/(z+i)2
<http://www.math.harvard.edu/%7Ectm/gallery/julia/lattes.gif>
Lightning <http://www.math.harvard.edu/%7Ectm/gallery/julia/ice.gif>
(Hironaka) <http://math.fsu.edu/%7Ehironaka>
Napoleon map
<http://www.math.harvard.edu/%7Ectm/gallery/julia/napoleon.gif> and
Napoleonic bifurcations
<http://www.math.harvard.edu/%7Ectm/gallery/julia/napoleon.bif.gif>

        Complex dynamics movies

Julia movie
<http://www.math.harvard.edu/%7Ectm/gallery/movies/julia.mov.gif>
Dancing Cantors movie
<http://www.math.harvard.edu/%7Ectm/gallery/movies/jcantor.mov.gif>
Mandelbrot zoom movie
<http://www.math.harvard.edu/%7Ectm/gallery/movies/M.mov.gif>
Vanishing limb movie
<http://www.math.harvard.edu/%7Ectm/gallery/movies/rat.mov.gif>

        Renormalization

Cascade of bifurcations
<http://www.math.harvard.edu/%7Ectm/gallery/julia/Cascade.gif>
Window of period 3
<http://www.math.harvard.edu/%7Ectm/gallery/julia/Win.gif>
Small M in M <http://www.math.harvard.edu/%7Ectm/gallery/julia/Msmall.gif>
Colorful M in M
<http://www.math.harvard.edu/%7Ectm/gallery/julia/Msmall.col.gif>
Feigenbaum Julia set
<http://www.math.harvard.edu/%7Ectm/gallery/julia/feig.html>
Golden Siegel disk
<http://www.math.harvard.edu/%7Ectm/gallery/julia/siegel.html>
Golden circle map
<http://www.math.harvard.edu/%7Ectm/gallery/julia/critcirc.html>

        Dynamics on K3 surfaces

K3 movie <http://www.math.harvard.edu/%7Ectm/gallery/movies/k3.movie.gif>
K3 surface <http://www.math.harvard.edu/%7Ectm/gallery/k3/k3.surf.gif>
Tame <http://www.math.harvard.edu/%7Ectm/gallery/k3/k3.tame.gif>
Wilder <http://www.math.harvard.edu/%7Ectm/gallery/k3/k3.wild.gif>
Ergodic <http://www.math.harvard.edu/%7Ectm/gallery/k3/k3.ergo.gif>
Stable manifold
<http://www.math.harvard.edu/%7Ectm/gallery/k3/stableman.gif>
Tame blowup
<http://www.math.harvard.edu/%7Ectm/gallery/k3/k3.tameblowup.gif>
Poncelet's theorem
<http://www.math.harvard.edu/%7Ectm/gallery/k3/conics.gif>
Poncelet Java
<http://www.math.harvard.edu/%7Ectm/gallery/poncelet/index.html>
(Schwartz) <http://www.math.umd.edu/%7Eres>
Dynamics on a (2,2) curve
<http://www.math.harvard.edu/%7Ectm/gallery/k3/curve22.gif>

        Number theory

Factorization
<http://www.math.harvard.edu/%7Ectm/gallery/nos/factoring.png>
(Schwartz) <http://www.math.umd.edu/%7Eres>

        Billiards

Pentgaon <http://www.math.harvard.edu/%7Ectm/gallery/billiards/pent.gif>
Unfolding
<http://www.math.harvard.edu/%7Ectm/gallery/billiards/pent_double.gif>
Trapped <http://www.math.harvard.edu/%7Ectm/gallery/billiards/trapped.gif>
L-shaped reality
<http://www.math.harvard.edu/%7Ectm/gallery/billiards/ltable.jpg>
(Duchins) <http://www.math.uchicago.edu/%7Emduchin>
Zero flux Peano curve
<http://www.math.harvard.edu/%7Ectm/gallery/billiards/arnoux.gif>

------------------------------------------------------------------------
Copyright (c) 2004
Curtis T McMullen <http://www.math.harvard.edu/%7Ectm/index.html>
http://www.math.harvard.edu/~ctm/gallery/menu.html
<http://www.math.harvard.edu/%7Ectm/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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