A&S 100-006 -- Visualizing Mathematics

Course Information

• Syllabus
• Canvas at UK
• Blackboard at UK
• Adobe Connect at UK
• Ongoing Course Notes
  
  
• Course Gallery
  • Module 1 -- Virtual Images
  • Module 2 -- Models for 3D Printing
  • Module 3 -- Paper Constructions
  • Module 4 -- iOrnament Patterns
  • Tensegrity Structures
  
  
• Course Texts
  • Steinhaus, Mathematical Snapshots
    • Kindle Edition
  • Holden, Shapes, Space, and Symmetry
• Images
  • POV-Ray Free 3D ray-tracing software
    • POV-Ray Unofficial for the Mac
    • Documentation
    • Hall of Fame
    • Examples
    • More Examples (from a previous course)
    • Some POV-Ray Textures and Colors
    • POV-Ray Predefined Colors (Click on a color to see its name)
  • Blender Powerful 3D software for the ambitious
• Art -- Documents by Daniel Lee
  • Useful Information
  • Additional Information
  • Design Considerations Handout
  • Polyhedra Still Life Thumbnails
  • Feedback Samples
• 3D Printing
  • SketchUp Free 3D modeling software
    • Summary of Some Features From a presentation in 2010
    • Guides and Tutorials
    • Tips for Modeling in SketchUp
    • Getting the Solid Inspector Tool for SketchUp
    • Importing an Image to use as a Texture
    • Adjusting textures
    • Some Examples
      • Hexstix Model Part 1
      • Hexstix Model Part 2
      • Hexstix Model Part 3
      • Hexstix Model Part 4
      • Hexstix Model Part 5
      • Hexstix Model Part 6
  • Thingiverse Models to download and print on 3D printers
  • MakerBot MakerWare Software to prepare products for 3D printing
  • Printrbot
  • Shapeways
  • MeshLab
  • Meshmixer
• Origami
  • Sonobe Origami Polyhedra
  • Sonobe Assembly Guide
  • Modular Origami
  • Modular Origami Diagrams
  • Paper Models of Polyhedra
  • The Fold and Cut Problem
  • MIT Course on Geometric Folding Algorithms: Linkages, Origami, Polyhedra With notes, slides, and videos
  • Erik Demaine
  • Metamorphosis of the Cube
  • How to Fold it
  • Rose Pavilion
  • Hyperbolic Paraboloid
  • Triangular Spiral Tilings
• The University of Kentucky Center for Visualization and Virtual Environments
• Symmetry
  • Module 4 Assignment
  • iOrnament iPad App
  • iOrnament Examples (Go to iOrnament-->gallery and iOrnament-->world exhibition)
  • Adobe Reader iPad App
  • GoodReader iPad App
  • Superimpose
  • Scott Kim's Experiencing Symmetry
  • Symmetry Notes from MA111 Including Border Pattern Classification (last section)
  • More Patterns
  • Frieze Patterns
  • Jack Schmidt's Border Pattern Maker
  • Wallpaper Patterns Including Classification Flowchart
  • M.C. Escher
  • "Square Dance"
• Tensegrity
  • Tensegrity Wikispace
• Games
  • Some Games (And there are iPad apps for some of these games)
  • Some Game Boards
  • Game of Set iPad App
  • Game of Hex (or Nash) iPad App
  • Game of Gale iPad App
  • Game of Interlocked iPad App
• The Fourth Dimension
  • Flatland
• Other Course Software
  • GeoGebra Free software integrating algebra, geometry, and spreadsheets
    • iPad App
    • Manual and Tutorials
  • OpenSCAD Free 3D modeling software
    • Documentation. See also the examples available to you when you run the program.
    • Some Examples
      • Octahedron
      • Puzzle Piece
      • Fractal
  • Miscellaneous
    • Animusic
    • Animusic Videos
    • Infinity Elephants
  • Wingeom Free 2D-3D geometry software (Windows operating system only)
  • 123D Catch app Create 3D models from a set of 2D photos
  • Pure Data "Pd enables musicians, visual artists, performers, researchers, and developers to create software graphically, without writing lines of code."
    • Pure Data Exhibition
    • Tutorial
    • Wah Wah Pitch PD-Extended

Modules and Assignments

Some Examples of Mathematical Visualizations and Snapshots

Some POV-Ray Examples

Some Interesting Books

Some Interesting Websites