Gallery by Curtis T McMullen

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

  • Next message: Roger Bagula: "Re: The Fractal Challenge" 
    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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