Experiments in Circle Packing, Session B

MAA Minicourse, San Diego, January 2013
Ken Stephenson (Tennessee) and Brock Williams (Texas Tech)


Theme Script Terms More Scripts
Overview FiniteRMT.xmd Discrete conformal geometry:
analogy, approximation, experimentation.
Spontaneous geometry.
Conformal Mapping DiscreteRMT.xmd cookie methods, Schwarz-Christoffel, refinement, analogy versus convergence CircleDomains.xmd
DiscreteSC.xmd
ExtLength.xmd MultiRefine.xmd
RandomRefine.xmd
Function Theory Branching.xmd harmonic measure, extremal length, branch points, Blaschke products, the error function, polynomials, rational functions Blaschke.xmd
RatioBuild.xmd
Beurling.xmd
Erf.xmd
HGintro.xmd
HGtrials.xmd
FtnAddition.xmd
BlaschkeRefine.xmd
ErfRefine.xmd
MiscFtnTheory.xmd
Riemann Surfaces Torus.xmd torus, higher genus, covering maps, Weierstrass functions AffineExamples.xmd
WeierstrassPe.xmd
Probability Theory HarmMeasure.xmd random walks, random triangulations, emergent conformal structure NecklaceTrials.xmd
Geometry Type567.xmd triangle groups, Schwarz triangles, Apollonian packings, the Ring Lemma, Brooks quadrilaterals, Mobius group, type EX_BrCount.xmd
EX_HypBound.xmd
EX_RingLemma.xmd
TriGroups.xmd
Schwarz332.xmd
Schwarz432.xmd
Schwarz532.xmd
OwlWelding.xmd
BrooksPackings.xmd
Graph Embedding GSR_Examples.xmd Trees, graphene, tiling, brain imaging, Coulomb energy Delaunay174.xmd
TwistedPent.xmd
FlipAlgorithm.xmd
ChairTiling.xmd
PinWheelTiling.xmd
Games/Challenges FlipChallenge.xmd edge-flipping, Doyle spirals, motion by mean curvature FlipDipoles.xmd
Rational.xmd
Start_MMC.xmd(w. 'PackExtender')
Doyle.xmd
Dieudonne.xmd
.xmd