Caveat surfer.

In The Beginning

• A Short History of Geometry (Dan Sunday, softSurfer)
  - a select subset of geometry links into the St Andrews Archive.
• History of Mathematics Archive  (Univ of St Andrews, Scotland)
  - a great site with many informative biographies of famous mathematicians.
• Mesopotamian Mathematics (Duncan Melville, St. Lawrence Univ)
  - excellent site covering Sumerian and Babylonian mathematics
• The Origins of Greek Mathematics (Don Allen, Texas A&M Univ)
  - terrific summary of historical evidence about the origin of geometry.  Includes excellent overviews of the main schools of Greek mathematics.
• The Era of Greek Mathematics (Tan Kok Hui, Singapore)
  - another short overview of the principal Greek geometers and their discoveries.
• Ancient Greek Mathematics (Don Allen, Texas A&M Univ)
  - an outstanding collection of essays about Greek geometry from Thales to Pappus.
• Introduction to the Works of Euclid (Donald Lancon)
  - an interesting essay summarizing Euclid's Elements.
• Euclid's Elements (David Joyce, Clark University)
  - an interactive site with dynamic applets of the propositions in all 13 Books of Euclid.
• Archimedes (Chris Rorres, Drexel Univ)
  - a comprehensive site about the greatest of the Greek geometers.
• Vatican Mathematics Exhibit (U.S. Library of Congress, 1993)
  - has images of many Greek  math and astronomy manuscripts from the Vatican library.
• Mathematicians of the 17th and 18th Centuries (David Wilkins, Trinity College, Dublin)
  - biographies of the major mathematicians (Descartes, Fermat, Pascal, Euler, Monge, etc) and many of their less well-known contemporaries.
• Georg Friedrich Bernhard Riemann (David Wilkins, Trinity College, Dublin)
  - the life and papers of Riemann, with translations of his "On the Hypotheses which lie at the Bases of Geometry", and "On the Number of Prime Numbers less than a Given Quantity" with the celebrated "Riemann Hypothesis".
• History of Math (by Region) (David Joyce, Clark Univ)
  - overviews of math history in selected regions: Babylonia, Egypt, China, Greece, India, Arabian, Japan, and Europe from ancient times to the middle ages.  There is an excellent timeline of Chinese math.
• Math Archives - History of Math (Univ of Tenn, Knoxville)
  - has many links to sites about the history of mathematics.
• Websites relevant to the History of Mathematics (David Wilkins, Trinity College, Dublin)
  - more links to sites about the history of mathematics.

Recent Reports

• Application Challenges to Computational Geometry (1996)
  - CG Impact Task Force Report (Chair: Bernard Chazelle, Princeton Univ).  Follow-on reaction to this report (up to 1998) has been summarized at the web page The Computational Geometry Impact Task Force Report by Jeff Erickson.
• Strategic Directions in Computational Geometry (1996)
  - ACM / NSF Working Group Report (Chair: Roberto Tamassia, Brown Univ).

Bibliographies

• ResearchIndex [formerly: CiteSeer] (NEC Research Institute)
  - a free public scientific literature digital library with over 4 million citations mostly in computer science and the physical sciences.  Excellent keyword search capability yields lists of references, cross-references, and graphs of publication years.  The full text of many papers, especially recent ones, is available online for downloading.  Very useful.
•  Computational Geometry Community Bibliography (McGill Univ, Montreal)
  - a Web interface to access Bill Jones' (Univ of Saskatchewan) Geometry Literature Database bibliography with over 13,000 references about computational geometry.  The complete database can be downloaded from the geombib FTP site.
• Computing Research Repository (CoRR) (Los Alamos)
  - a archive of e-print papers in computational geometry.
• CompGeom (Bell Labs)
  -  an electronic library (netlib) at Bell Labs for computational geometry that includes software, bibliographies, and mailing lists.
• Computational Geometry Bibliographies (Univ Illinois Urbana)
  - a list of bibliographies specific to computational geometry compiled by Jeff Erickson.
• ACM SIGGRAPH Bibliography
  - a Web interface to over 19,000 references in the field of computer graphics.
• ACM Digital Library
  - online searchable access to all ACM journals and conference proceedings.
• The Collection of Computer Science Bibliographies
  - a bibliography of computer science bibliographies with over 1,000,000 references in all.  Includes a search engine spanning all listed bibliographies.
• DBLP: Digital Bibliography & Library Project (Univ of Trier, Germany)
  - bibliographic search information on major computer science journals and proceedings.  It indexes more than 250000 articles.

Who's Who

• Computational Geometers (Jorge Urrutia, Univ of Ottawa, Canada)
  - a list of computational geometers with links to lists of their publications.
• Computational Geometry on the WWW (Guilherme Pinto, UNICAMP, Brasil)
  - a list of computational geometers with links to their home pages.
• People (Ileana Streinu, Smith College, MA)
  - another list of well known computational geometers with links to their home pages.

Centers

• The Center for Geometric Computing
  - a collaboration of 3 Universities, this is a long-range coordinated effort aimed at facilitating technology transfer from computational geometry to relevant applied fields.
  at Brown Univ (Franco Preparata and Roberto Tamassia)
  at Duke Univ (Pankaj Agarwal and Jeffrey Vitter)
  at Johns Hopkins (Mike Goodrich and Rao Kosaraju)
  - now called "The Center for Algorithm Engineering".
• The Geometry Center  (Univ of Minn)
  - this used to be a significant center of computational geometry work from 1991-1998 when it lost its funding, and it is now closed with no staff.  Only this web site continues as a repository for much of the materials and projects generated by this center.
• The Graphics and Visualization Center (Brown, Caltech, Cornell, UNC, and Utah)
  - an NSF Science and Technology Center founded in 1991.  It is comprised of 5 Universities, and supports multi-site collaboration of research in graphics visualization.

General Information

• Graphics Algorithms FAQ (2001, edited by Joseph O'Rourke)
  - with over 80 contributors, this is a large collection of information about basic geometry algorithms used in computer graphics.  There are lists of essential books, web links, and detailed descriptions of many frequently used computations.  This monitored FAQ is updated and reposted monthly to the comp.graphics.algorithms newsgroup.
• Computational Geometry on the Web (Godfried Toussaint, McGill Univ, Canada)
  - an outstanding site by a first rate computational geometer with lots of interesting material and links.
• Geometry in Action (David Eppstein, UC Irvine)
  - an outstanding site oriented to showing how theory gets applied in the real world.  Has many links for applications of computational geometry to: design and manufacturing, graphics and visualization, information systems, medicine and biology, physical sciences, robotics, and other applications.
• The Geometry Junkyard (David Eppstein, UC Irvine)
  - an entertaining recreational site with a large collection of web links, lecture notes, research excerpts, papers, software, problems, and other stuff related to discrete and computational geometry.
• Computational Geometry Pages (Jeff Erickson, Univ Illinois Urbana)
  - this is an exceptional site with many links to geometry resources on the web.
• Paul Bourke's Personnal Pages (Paul Bourke, Swinburne Univ, Australia)
  - an interesting site with lots of material related to computational geometry and computer graphics, including many basic and advanced algorithms.  Good material on 3D formats and terrain modeling.
• Real-Time Rendering Resources (Tomas Moller & Eric Haines)
  - the site for the author's book Real-Time Rendering.  Contains many links to sites concerning the wide range of topics covered in the book, such as:  Visual Appearance, Special Effects, Speed-Up Techniques, Polygonal Techniques, Intersection and Collision Testing, Game Programming, and more.

Software

• Graphics Gems Repository (Eric Haines, ACM)
  - the official on-line repository for the downloadable code from the Graphics Gems series of books.
• ACM TOG Software (Eric Haines, ACM)
  - a collection of links to sites with computer graphics, visualization, and geometry software.
• Magic Software (David Eberly)
  - free source code for many fundamental 2D and 3D computer graphics algorithms.  This code repository has been accumulating since 1991, and is very high quality.
• GameDev.Net (Kevin Hawkins)
  - is an extensive site covering all aspects of game development and programming. The Resource Library has many interesting subwebs, such as:
  * Graphics Algorithms with tons of useful material including articles about geometry algorithms.
  * Math and Physics with articles and tutorials about constructs/models used in game programming.
  * OpenGL with articles and code specific to the powerful OpenGL graphics drawing API.
• Computational Geometry in C (Joseph O'Rourke, Smith College)
  - the site for O'Rourke's book Computational Geometry in C with downloadable code (in C and Java) for 11 of the algorithms.
• The Stony Brook Algorithm Repository (Steve Skiena, SUNY Stony Brook)
  - the official collection of algorithms (over 70 total with 39 for geometry and graph theory) from his book The Algorithm Design Manual.
• 3D Object Intersection (Eric Haines & Tomas Moller, ACM)
  - maintains a matrix of known algorithms for 3D intersections between many computer-graphics geometric objects: rays, planes, spheres, cylinders, cones, triangles, bounding boxes, frustums, and polyhedra.
• Directory of Computational Geometry Software (Nina Amenta)
  - for the former Geometry Center (Univ of Minn), this site contains lots of good links to free computational geometry software.  Unfortunately, it hasn't been updated since Jan 1997.
• CGAL (Univ Utrecht, Netherlands)
  - the "Computational Geometry Algorithms Library" (CGAL) is a collaborative C++ software library of geometric data structures and algorithms.  It is free for academic research and teaching, but requires a license for commercial use.  There is an online-manual.  CGAL can work with the LEDA data structures.
• LEDA (Max-Planck-Institut, Germany)
  - the "Library of Efficient Data types and Algorithms" (LEDA) is now a commercial product obtained from Algorithmic Solutions.  It is no longer free, but academic researchers only pay a small fee compared to commercial users.  LEDA is highly rated by computational geometers, and there is a large (1018 page) book, Leda : A Platform for Combinatorial and Geometric Computing, describing how to program with it.  There is an online-manual that can also be downloaded.
• Wykobi (Arash Partow, Australia)
  - a free open-source "extremely efficient, robust and simple to use C++ 2D/3D oriented computational geometry library". Softsurfer has not fully tested this library, but it appears promising. And its free!

Math

• Geometry Formulas and Facts (Silvio Levy, Univ Minn)
  - excerpted from the 30th Edition of the CRC Standard Mathematical Tables and Formulas (1995).  Covers many geometric computations (but not differential geometry), with contributions from many distinguished mathematicians.  An excellent reference.
• Weisstein's World of Mathematics - Geometry (Wolfram Research)
  - an interactive (and growing) Encyclopedia of Mathematics.  It is especially comprehensive concerning geometry topics.  This Encyclopedia is also available as a book, The CRC Concise Encyclopedia of Mathematics, or as a CD-ROM edition.
• Interactive Math - Geometry Pages (Alexander Bogomolny)
  - a great site by a former mathematician with short essays (over 100 about geometry) on a wide variety of topics.  This is math-oriented and algorithm implementations are not considered.  But there is a lot of useful geometric knowledge here.
• MathPages - Geometry (Kevin Brown)
  - another interesting math site with lots of detailed technical essays (over 70 about geometry).  No algorithms per se, but there is a wealth of useful computational information.
• Math Archives - Geometry (Univ of Tenn Knoxville)
  - a potpourri of interesting geometry links (about 150 of them).