Index of pages and documents

Alan Phillips, SciFi author 1934-
Tom Ruen, Independent scholar
- Polytiles
  - Notation
- Papers and presentations
  - [PDF 4.2M] Polytiles: Equilateral and Equiangular Polygons (part 1a), paper [abstract] Published Oct 15, 2021 at eJMT
    - [PDF 6.9M] Convex Polytiles Enumerations (part 1b) Zonogons, Progons, and Exotics, paper [abstract] Published Feb 15, 2023 at eJMT
  - [PDF 6.9M] Polytope Products (PPT 52M!), presentation, North Central MAA Fall meeting, Sep 23, 2023, U of MN, Duluth
    - [PDF 3.4M] Four Polytope Products: Join, Fusil, Prism and Meet, paper [abstract] [published] Feb 15, 2024 at eJMT
  - [PDF 3.3M] Introduction to Hypergons (PPT 93M!!), presentation, North Central MAA Spring meeting, Mar 22, 2025, St. Olaf College, Northfield, MN
- JavaScript
  - Geometry
    - [Polytile Explorer] / Polytile Explorer draws from polytile notation (2D canvas)
    - [Polytiler] / Polytiler Build tiling with polytiles (in progress) (2D canvas)
    - [Hypergons] / Hypergons View and build hypergons (in progress) (Three.js)
  - Astronomy
    - Globular Clusters of the Milky way
      - Table
      - View (Three.js)
    - [Mars] / Mars model (Three.js)
    - Solar system MPC search and plot (2D canvas)
  - My Wordle, 5 letter word guessing game

References/Resources

Group/Graph/Hypergraph books

PDF Theory of Groups of Finite Order, Burnside, 1897 [gutenberg.org]
HTML/Image Generators and Relations for Discrete Groups, Coxeter and Moser, 1957 [springer.com] 162 pages
Hypergraph Theory: An Introduction, Alain Bretto, Springer, 2013, [PDF/amazon.com] 129 pages.
The Theory of Graphs, Claude Berge, 1964/2001 [google.com/books] 247 pages
Introduction to Graph and Hypergraph Theory, by Vitaly I. Voloshin, 2009 [scribd.com]. 231 pages
Hypergraphs and Designs, by Mario Gionfriddo, Lorenzo Milazzo, Vitaly Voloshin, 2014 [researchgate.net]
Foundations of Projective Geometry, Robin Hartshorne, 1967 [columbia.edu]
An Introduction to Finite Projective Planes, 2018 [github.io]

Geometry books

HTML/Image Geometry of Four Dimensions, Henry P. Manning, 1914 [archive.org] 378 pages
HTML/Image An Introduction to the Geometry of N Dimensions, Sommerville, 1929 [archive.org] 235 pages
HTML/Image Solid Mensuration, Kern and Bland, 1938 [archive.org, amazon], 182 pages
HTML/Image Regular Complex Polytopes, H.S.M. Coxeter, 1974
Norman Johnson, Mathematician, 1930-2017
- HTML/Image The Theory of Uniform Polytopes and Honeycombs, PhD Thesis, 1966, 378 pages
- PDF Geometries and Transformations, 2017, 331 pages
The Harmony of the World, Johannes Kepler, 1619 [google.com] 549 pages
The Semiregular Polytopes of the Hyperspaces, Emanuel L. Elte, 1912 [umich.edu] 145 pages
Order in Space - design source book, Keith Critchlow, 1969 [archive.org], 120 pages

Geometry papers

Branko Grünbaum
- 1977 PDF Regular polyhedra - old and new [washington.edu]
- 1994 PDF Metamorphoses of polygons [washington.edu]
- 1994 PDF Uniform Tilings of 3-Space [washington.edu]
- 2003 PDF Are Your Polyhedra the Same as My Polyhedra? [washington.edu]
- 2006 PDF Configurations of points and Lines [washington.edu]
- 2009 PDF Sec 4.7 Configurations of points and Circles (2 pages)
H S.M. Coxeter
- 1930 PDF Polytopes with regular-prismatic vertex figures, [royalsocietypublishing.org]
- 1935 PDF Complete Enumeration of finite groups of the form R_i²=(R_iR_j)^k_ij=1, [wiley.com]
- 1936 PDF Regular Skew Polyhedra in three and four dimensions, [wiley.com]
- 1940 PDF Polyhedra [amazon.com]
- 1940 PDF Regular and Semi-Regular Polytopes I, [springer.com]
- 1950 PDF Self-Dual Configurations and Regular Graphs, [ams.org]
- 1954 PDF Uniform Polyhedra, [royalsocietypublishing.org]
- 1956 PDF Regular Honeycombs in Hyperbolic Spaces [semanticscholar.org] [archive.org]
- 1985 PDF Regular and Semi-Regular Polytopes II, [springer.com]
- 1988 PDF Regular and Semi-Regular Polytopes III, [springer.com]
- 1991 PDF Orthogonal Trees, [acm.org]
- 1994 PDF The Evolution of Coxeter-Dynkin diagram [springer.com]
PDF On the Four-Dimensional Angles of the Semiregular Polytopes of S4, P. H. Schoute, 1913 [jstor.org]
PDF Central Tessellations, Michael Goldberg, 1955
PDF Regular Skew Polyhedra in Hyperbolic 3-space, Cyril W. L. Garner, 1967
PDF Vierdimensionale Achimedische Polytope, Marco Moller, Ph.D Thesis (German), 2004
PDF Trivalent Symmetric Graphs up to 768 vertices (up to 10,000 vertices, 2011) Prof. M.D.E. Conder

Astronomy

[PDF 14M] The Stars: A New Way to See Them (Part 1 and 2), H. A. Rey, 1952 [Wikipedia.org]
[PDF 21M] Exploring Mars, Roy A. Gallant (Author), Lowell Hess (Illustrator), 1956 [amazon.com]
[PDF 17M] Exploring the Universe, Roy A. Gallant (Author), Lowell Hess (Illustrator), 1956 [amazon.com]

Contents

References/Resources