Mathworld: Archimedean polyhedra
Mathworld: Platonic polyhedra
Links to geometry websites, including tessellations, polyhedra and polytopes.
V. Bulatov's very extensive collection of models of polyhedra.
George Hart is a sculptor. His sculptures are inspired by geometrical concepts, especially icosahedral symmetry, and are fascinating.
George Hart's 'Encyclopoedia of Polyhedra': the largest online reference source for polyhedra.
Some fascinating constructions made from the Zometool construction kit.
A biblography: books in English dealing with polyhedra.
Magnus Wenninger's homepage. Wenninger has constructed hundreds of polyhedron models, and published books describing his methods. This website displays photographs of selection of over a hundred models.
Buckminster Fuller's Synergetics .
Lectures on the mathematics of symmetry in art, biology and mathematics. The research group on Computation, Vision and Geometry (CVG) was formed by Amir Assadi in 1988 to promote the role of geometric methods and visualization of geometric structures in scientific research and education.
Invisible Architecture: the Nano World of Buckminster Fuller by Bonnie Goldstein DeVarco. An appraisal of the relevance, especially in biology and materials science. of Fuller's ideas. Contains numerous links to other relevant websites.
Izidor Hafner & Tomislav Zitko. 'From dissection of the cube to space filling with prolate rhombohedra and rhombic dodecahedra of the second kind'.
VRML polyhedron models.
Database of Zeolite Structures. The Structure Commission of the International Zeolite Association (IZA-SC) was established to evaluate zeolite structural data in the literature and to prepare compilations of those data for the benefit of the zeolite community.
International Committee on Natural Zeolites. Listing of selected internet links.
Goeffrey L. Price's zeolite page. A short introduction 'what is a zeolite?' and some good graphics illustrating a few zeolite structures.
M. Hewat. Zeolite catalysts and sieves: microscopic architecture.
University of Colorado Mineral Structure Data Base.
Networks & Space Fillings
Homepage of Olaf Delgado Friedrichs. Combinatorial tiling theory. Some beautiful graphics illustrating space filling by saddle polyhedra.
Daniel Huson's Home Page. Combinatorial tiling theory. Papers & software.
Microporous solids: cages, channels and voids.
Hyde & Ramsden's 'Polycontinuous morphologies and interwoven
helical networks' (Europhys. Lett., 50 (2000) 135-141).
Ken Brakke's website. Surface Evolver can be downloaded. An introduction to triply periodic minimal surfaces is given, with numerous illustrations, and source codes for use with Surface Evolver.
Parametrisation of the Costa surface, for Mathematica.
Graphitic triply periodic minimal surfaces.
Gozdz & Holyst's home page. Triply periodic surfaces.
Stephen Hyde's home page. List of publications. Downloadable reprints. Differential geometry, topology and non-euclidean geometry of 2d surfaces, and applications to condensed atomic and molecular crystals and liquid crystals, etc.
Indiana University Minimal Surface Gallery. 29 artistic ray traced images.
Konrad Polthier's home page. Books on mathematical visualization. Mathematical visualization software. Videos on minimal surfaces, soap films, and geodesics.
An introduction to minimal surfaces, by Hermann Karcher and Konrad Polthier.
An introduction to minimal surfaces with some nice graphics.
Stewart Ramsden. Mesoscale research: Crystal frameworks and hyperbolic tilings; embeddings of 3D nets in triply periodic surfaces.
University of Granada. Minimal surfaces, constant mean curvature and related topics.
PDF and HTML versions of Wohlgemuth et al. Triply periodic bicontinuous cubic microdomain morphologies by symmetries. Macromolecules 34 (2001) 6083-6089.
The wonderful fabrications of Sho Takahashi - sculpture inspired by minimal surfaces and other geometrical concepts.
Johnathan Doye's homepage. Extensive investigation, by simulation techniques, of cluster growth.
The Cambridge Cluster Database. Rare gas clusters. Metal clusters. Molecular clusters (including C60 clusters and water clusters). Ionic clusters. Results of simulation using a variety of potentials. Extensive data, and lists of published papers.
Birmingham Cluster Web.
Some quite remarkable graphics illustrating complex intermetallic phases.
'Connections in Space'. A very extensive website with visualisations of a wide range of geometrical concepts. Divided into 'themes': Spatial Visions, Form & Structure, Randomness & Order, Inner & Outer Space, Mapping, Patterns & Space Filling, Higher Dimensions.
The Geometry Center is now no longer active, but its extensive archives are maintained.
Downloadable software includes Surface Evolver.
The Structure of matter Group: A research group in the Institute of Physics at Universidad Nacional Autónoma de México. Quasicrystals, Fullerenes and Curved Structures. Mathematical Crystallography.
The contributions of Fischer & Koch to mathematical crystallography. Periodic minimal surfaces, sphere packings, Dirichlet domains, normalizers, lattice complexes, description of crystal structures, International Tables. The information on TPMS in particular is very thorough and extensive.
Morwen Thistlethwaite's home page. Beautiful computer generated images of symmetrical knots.
3D modelling of crystalline and molecular structures. In particular: excellent introduction to minerals based on tetrahedral and octahedral clusters.
Structures of simple inorganic solids; oxide structures & networks, by S.J. Heyes. Fourth of Four Lectures in the 1st Year Inorganic Chemistry Course. Nice graphics.
Steffen Weber's home page. Extensive VRML displays. Nanotubes. Fullerenes. Wire frame polyhedra. Structure types.