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Groupprops A Physics Booklist [Physics FAQ] - [Copyright] Updated 2005. Updated 1994—1997 by SIC, PEG. Original by Vijay Fafat. This article is a compilation of books recommended by sci.physics participants as the "standard" or "classic" texts on a wide variety of topics of general interest to physicists and physics students. As a guide to finding the right book for you, many of the comments from the contributors have been retained. Some entries here are incomplete, and many good books are not yet listed. Details such as publisher, date and ISBN numbers below are far and few between. If you are looking for a book that is out of print, try: Subject Index General Physics (so even mathematicians can understand it!) M.S. Classical Mechanics Herbert Goldstein: Classical Mechanics, 2nd ed, 1980. Classical Electromagnetism Jackson: Classical Electrodynamics, 2nd ed., 1975 Intermediate to advanced, the definitive graduate(US)/undergraduate(UK) text. Quantum Mechanics Statistical Mechanics and Entropy

Quaternion group where 1 is the identity element and −1 commutes with the other elements of the group. Cayley graph[edit] The Q8 group has the same order as the Dihedral group, D4, but a different structure, as shown by their Cayley graphs: Cayley table[edit] The Cayley table (multiplication table) for Q is given by:[1] The multiplication of pairs of elements from the subset {±i, ±j, ±k} works like the cross product of unit vectors in three-dimensional Euclidean space. Properties[edit] The quaternion group has the unusual property of being Hamiltonian: every subgroup of Q is a normal subgroup, but the group is non-abelian.[2] Every Hamiltonian group contains a copy of Q.[3] In abstract algebra, one can construct a real four-dimensional vector space with basis {1, i, j, k} and turn it into an associative algebra by using the above multiplication table and distributivity. One may take, for instance, i = x, j = y and k = x y. The center and the commutator subgroup of Q is the subgroup {±1}. is given by Notes[edit]

Conrad Wolfram - my home page Polyhedra by Jim McNeill: last updated 23 Apr 2013. Note: If you are having difficulty viewing the VRML files, then download the latest version of Cortona from here. HEDRON: Polyhedron generating software, now at V1.12, available here. Help text here. Hedron Tools (Release 2B). Uniform Polyhedra: Displayed as 'switchable' VRML files, including Skilling's figure, including links to 'molecular' VRML files of all the uniform Polyhedra. Johnson Solids: More 'switchable' VRML files, plus some isomorphs to the Johnson Solids. Rhombohedra: Polyhedra containing rhombic faces: Isohedral Deltahedra: Face transitive polyhedra consisting of equilateral triangles. Elementary Honeycombs: Vertex transitive space filling honeycombs with non-uniform cells. Acrohedra:Polyhedra with a specified vertex, n-n-3 acrons, some near misses (with 'Stress Maps') and tables of dihedral angles. Petrie Expanded Polyhedra: Polyhedra that have been expanded across their Petrie Polygons self augmented heptagonal semicupola Toroids:

The Craig Web Experience -- PhD Thesis Computer Graphics and Geometric Ornamental Design Craig S. Kaplan. PhD thesis, 2002 Inspired by the wonderful page Robert Glenn Scharein has dedicated to his PhD thesis Interactive Topological Drawing, I decided to give my own thesis a happy little home on the internet. Like Robert, I wanted to include some of the figures from the thesis with which I was particularly pleased. If you enjoy looking at pretty thesis pages, I also recommend the finely illustrated work of Sascha Rogmann: Wachstumsfunktionen von Pflasterungen. Abstract Throughout history, geometric patterns have formed an important part of art and ornamental design. The power to further the study and practice of ornament stems from three sources. In this dissertation, I present my research in the area of computer-generated geometric art and ornament. Download My thesis contains a lot of graphics, and so resolution does matter. Errata Whenever possible, one's thesis should be write-only. Favourite Figures

Tilings On this page I will show some of my research into tiling patterns. Tiling Viewer Applet I have written a Java applet that allows you to see lots of different tilings. Launch the Tiling Viewer Applet See below for a description of the kinds of tilings this applet has available. How to use the applet The left section of the screen shows a tree structure. Terminology Tiling or tessellation A dissection of the infinite flat plane into shapes of a finite area. Tile One of the shapes that forms a tiling. Isometry A distance-preserving mapping of the plane. Symmetry of a tiling An isometry maps the tile boundaries onto tile boundaries. Periodic tiling A tiling that has two independent translation symmetries, i.e. a tiling that repeats itself along two different axes like a wallpaper pattern. Primitive unit or Unit Parallelogram A section of the tiling (usually a parallelogram or a set of neighbouring tiles) that generates the whole tiling using only translations, and is as small as possible. Fundamental unit

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