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C.A.Furuti's Home Page

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Cartographical map projections: map-making and some math. Attention: all the following quick-access links to the map projection section refer to the normal version (the dithered version is now obsolete). Start from this page to set your color preferences.
- Contents
- Introduction
- Basic definitions and concepts:
  - the Earth
  - maps
- Useful map properties
  - Preserving distances
  - The shortest path
  - Finding directions
  - Preserving shapes (in construction)
  - Preserving areas
  - Presenting Tissot's indicatrices
  - Angular deformation patterns
- How projections work
  - Deriving the azimuthal orthographic projection
  - Deriving the Braun stereographic cylindrical projection
  - Deriving the Sanson-Flamsteed projection
  - Deriving the Mollweide projection
  - Deriving the polar and equatorial cases for azimuthal equidistant and equal-area projections
  - Deriving the equidistant cylindrical, Winkel I and Winkel II projections
  - Deriving the Aitoff, Hammer and Winkel Tripel projections
- Azimuthal projections
  - Non-perspective azimuthal projections
- Cylindrical projections
  - Perspective cylindrical projections
- Pseudocylindrical projections
  - Hybrid pseudocylindrical projections
- Conic projections
- Pseudoconic projections
- Modified azimuthal projections
- Conformal projections
- Other interesting projections
- Oblique projections
- Interrupted maps
  - Star projections
  - Classic interrupted maps
  - Arbitrary interrupted maps
  - Interruption devices
- Polyhedral maps
  - introduction and tetrahedral maps
  - cubic and octahedral maps
  - icosahedral, dodecahedral and other maps
  - Fold-outs for polyhedral maps
- Some premodern projections
- Projections for navigators and radio operators
- Some applications for unusual projections (in construction)
- Summary of projections
- Resources and links
Some projects I developed
- a compiler for Cm, the C modular and polymorphic programming language (not yet)
- Stardust, a graphical editor
- Astra, a user interface library
- LegoShell, a visual programming language (not yet)
Software Toys (programming as a hobby)
- Toy Programs
  - First Simulations
    - Flight, a simple flight simulator
    - TeamSim, a multiplayer, distributed 3-D game
  - Netspace, a multiplayer, distributed 3-D space-combat game
    - Netspace player interface (in construction)
    - tools used for developing Netspace (in construction)
Origami
- Modular origami models in VRML format
- Polyhedral maps and origami (in construction)
- Some original diagrams
- Some origami roses
- A small bibliography
Papers (in construction)
Table of contents (you are reading it now)