Geometry Surfaces Overview Local Characteristics Principal Curvatures Global Characteristics Skeletal Graphs of Triply Periodic Surfaces Symmetry Surface Generation Methods Implicit Surfaces Parametric Surfaces Boundary Surfaces Maps Conformal Mapping Stereographic Projection The Gauss Map Minimal Surfaces Minimal Surface Characteristics Minimal Surface Ends Minimal Surface Associate Families Minimal Surfaces Computation The Weierstrass Formula The Period Problem Plateau Method Minimal Surfaces Index Enneper's Surface The Generalized Enneper's Surfaces The Chen-Gackstatter Thayer Surfaces The Plane The Catenoid The Helicoid The Costa-Hoffman-Meeks Surface Families The Four-Ended Surfaces The Four-End-Handled Surface Family The Genus 1 Helicoid The Karcher-Scherk Tower Families Scherk's Second Surface The Saddle Tower Surface Families Riemann's Surface Family The Genus 2 Riemann's Surface Family The Infinite-Ended Surfaces The Twisted Infinite-Ended Surface Families The Periodic Genus 1 Helicoid Family Scherk's First Surface The Perturbed Scherk's First Surface Family The Perturbed Genus 1 Scherk's First Surface Family The First Scherk Torus Surface Family The Second Scherk Torus Surface Family The Wohlgemuth-Thayer Surface Families The Karcher-Polthier-Thayer Surface Families The Schwarz P Surface The G (Gyroid) Surface The D (Diamond) Surface The Perturbed D (Diamond) Surface Family Supplement to Minimal Surfaces Index Symmetries of the CHM Surface Periodic Genus 1 Helicoid and Scherk's First Surfaces Asymptotic Behavior of Periodic Genus 1 Helicoid Wohlgemuth-Thayer Surface Families Karcher Polhtier Thayer Surface Families Associate Families Index P G D Associate Family Scherk Associate Family Scherk Torii Associate Family Catenoid/Helicoid Associate Family CMC Surfaces CMC Surface Examples CMC Surfaces Partitioning the Cube Double Bubbles The Wente Torii The Lamellar Catenoid Surface Family The P CMC Surface Family The D CMC Surface Family CMC Surface Families P CMC Surface at Specified Volume Fractions Level Surfaces Level Sets Approximating Minimal Surfaces Curvature of Selected Level Surfaces Skeletal Graphis Approximated by Level Surfaces Level Surface Examples Kohn-Nirenberg domain An Example of Goursat's Surface Surface with Tetrahedral Symmetry Steiner Roman Surface Kummer Surface Surface With Icosahedral Symmetry Triply Periodic Level Surfaces Triply Periodic Level Surfaces Animations Elser's Surface Elser's Surface Animated Simple Level Set Families Level Set Families From Mixing Terms 2 Parameter Surface Family From Group 230 Terms 2 Parameter Surface Family From Group 230 Terms 2 Parameter Surface Family From Group 227 Terms 2 Parameter Surface Family From Group 221 and 230 terms 4-Dimensional Euclidean Space (R4) Sphere in R4 The Clifford Torus Slicing the Clifford Torus The Clifford Torus The Geometry of C Complex Function Visualizer Models Block Copolymer Interface Morphologies Block Copolymer Chemistry Morphologies of Block Copolymers Volume Projections TEMsim Volume Projections Single IMDS 001 011 111 Projections Single IMDS 012 112 122 Projections Double IMDS 001 011 111 Projections Double IMDS 012 112 122 Projections Shallow Projections of the DG IMDS Families of DG Level Surfaces of Constant Volume DG Surface family at Volume 0.36 DG Surface family at Volume 0.33 Software JMesh JMesh Distributions JMesh InstallAnywhere Distribution JMesh Tar Distribution JMesh Surface Archive JMesh Clients Index catenoid chengack costa enneper ennepern fourend fourendh helicg1 helicoid infendk inftwist ktower kpt plane riemann rieplus saddletower scherk1 scherk2 scherkg1p scherktor schwarz wt Mesh Mesh Session Snapshots Mesh Distribution SolSurf SolSurf Session Snapshots SolSurf Distribution LEDG LEDG Distribution TEMsim TEMsim Session Snapshots TEMsim Distribution VPS VPS Session Snapshots VPS Distribution Java Software Java Class Library Java Class Library Packages Papers Morphologies by Symmetries Table of Surfaces 2 Parameter Families From Varying s and t 2 Parameter Families Using a Positive Secondary Term 2 Parameter Families Using a Negative Secondary Term The Dprime Surface The Lidinoid Surface The Split P Surface Nanoporous and Nanorelief Ceramic Films Double Gyroid Surface Porous Versus Relief Double Gyroid Morphologies Slices of the DG Surface Varied Thickness DG Slice Volume Projections Reconstruction of Interface Morphologies Notes on the Double Gyroid Reconstruction Derivation of Simplified Terms Double Gyroid Double Gyroid Views Stretched Double Gyroid Double Gyroid Struts The Core-Shell Double Gyroid

People David A. Hoffman Director, Scientific Graphics Project James T. Hoffman (no relation) Web Designer, Scientific Programmer