Section a polyhedra Section b flag Construction Section C



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Number 9 Cut the knot


http://cut-the-knot.org/do_you_know/polyhedra.shtml

A very good website covering all areas of maths including puzzles and puzzle theory, and book reviews. There are a number of definitions, theorems and proofs.


Number 10 Regular Polyhedra made with Magz.

http://drzeus.best.vwh.net/polyhedra/

This site illustrates the relationship between the various basic polyhedra and would make a good project for a class to construct the complete set.

Number 11 Polyhedra Posters

http://etacuisenaire.com/catalog/product?deptId=GEOMETRY&prodId=030284

Two colourful posters on Polyhedra 22”x34” (Commercial)


Number 12 Sierpinski Poyhedra

http://faculty.gvsu.edu/schlicks/phdra.pdf

A 10 page PDF on Sierpinski Polyhedra with illustrations and theory.


Numbers 13 and 14 Jorge Rezende

http://gfm.cii.fc.ul.pt/Members/JR.en.html

http://gfm.cii.fc.ul.pt/people/jrezende/en/jr_poliedros-puzzles_en.pdf

This is a Portuguese website which has Polyhedra puzzles in PDF format. The site can be viewed in English.



Number 15 Modular Origami


http://hektor.umcs.lublin.pl/~mikosmul/origami/spiky.html

This site shows the technique for making polyhedra from modular pieces.



Number 16 Numericana


http://home.att.net/~numericana/answer/polyhedra.htm

A very interesting site with a great deal of information. I literally spent hours on this site after clicking on Index. There is so much material of interest. Many related links.


Number 17 Polyhedra

http://homepages.wmich.edu/~drichter/polyhedraindex.htm

A site with some interesting Polyhedra.


Number 18 Mathematics Polyhedra

http://math.arizona.edu/~caine/polyhedra.html

A simple site that gives some description and PDF’s for some basic polyhedra.


Number 19 Polyhedra Links

http://math.scu.edu/~ffarris/m101/polyhedra.html

Some very good polyhedra links.


Number 20 Origami Polyhedra

http://math.serenevy.net/?page=Origami-PolyhedraLinks

A very good site on modular origami. Students could work in teams to create some of the models.


Number 21 Studying Polyhedra

http://mathforum.org/alejandre/applet.polyhedra.html

An applet on the Platonics.


Number 22 Modular Origami Web resources

http://mathforum.org/pcmi/hstp/sum2002/photos/origami/modular.origami.web.doc

Number 23 Wolfram Polyhedra


http://mathworld.wolfram.com/Polyhedron.html

This is an excellent website from a very much bigger site. The Wolfram website is absolutely fascinating and has great width and depth. It is a MUST site.


Number 24 Wolfram Uniform Polyhedra

http://mathworld.wolfram.com/UniformPolyhedron.html

This part of the Wolfram site gives a great deal of information the on 80 Uniform Polyhedra and their duals.



Number 25 Martin Trump’s Polyhedra


http://members.ozemail.com.au/~llan/dmpol.html

This is an interesting programme that uses an applet to illustrate Martin’s polyhedra and method. Unfortunately it does not give angle sizes but these can be calculated from the lengths given.


Number 26 An Introduction to Golden Rhombic Polyhedra

http://members.tripod.com/vismath8/hafner2/IntrodRhombic.html

The faces of all these polyhedra have the 2 diagonals that are in Golden Section. There are only 5 convex examples but there are many others in the group.


Number 27 Associated with Number 26

http://members.tripod.com/vismath8/hafner4/SFVisual.html

An interesting development of the Rhombic Polyhedra.


Number 28 Origami Poyhedra

http://mmcirvin.livejournal.com/316299.html

This site leads to a number of interesting sites on Origami Polyhedra.


Number 29 Impossible Polyhedra

http://nrich.maths.org/public/viewer.php?obj_id=1393&part=index&refpage=similarproblems

Contains an interesting proof and some good links to other ideas such as mazes, knots and Magic Squares.


Number 30 Epcot Ball (Origami)

http://nuwen.net/poly.html

Basic instructions to build Origami polyhedra.


Number 31 Polyhedra Mathmos site

http://polyhedra.mathmos.net/

This site has 55 models (5 platonics, 4 Kepler-Poinsot, 13 Archimedeans, 13 Archimedean Duals and 20 Stellated Archimedeans) giving details and calculations.


Number 32 a set of PDFs

http://projecteuclid.org/Dienst/UI/1.0/Journal?authority=euclid.pjm&issue=1102104962

This is a site with some fairly heavy maths covering a wide range of ideas. It’s not for the faint hearted.


Number 33 Greek Mathematics

http://sunsite.unc.edu/expo/vatican.exhibit/exhibit/d-mathematics/Greek_math.html

Some mathematical history. Worth a visit.



Number 34 Rhombic Polyhedra


http://torina.fe.uni-lj.si/~izidor/RhombicPolyhedra/RhombicPolyhedra.html

This website is a must. There is a huge amount of polyhedra on which are superimposed maps of the world and they make a fascinating set to make. There are also maps of Cook’s Journeys on models. Perhaps another class project.


Number 35 - 36 Archimedean

http://users.adelphia.net/~eswab/Archimedean.html

http://users.adelphia.net/~eswab/Platonic.html

Interesting sites that illustrate the truncations of basic polyhedra. Good illustrations. Worth a visit.


Number 37 -38 Graziotti and Fleurent

http://users.skynet.be/polyhedra.fleurent/Graziotti/UAGraziotti.htm

http://users.skynet.be/polyhedra.fleurent/Polyhedra.htm

These sites have plates that would make very good classroom posters. There is also other very interesting material.


Number 39 - 41 Waterman Packing spheres

http://watermanpolyhedron.com/

http://watermanpolyhedron.com/dsolids.html

http://watermanpolyhedron.com/watermanpolyhedra1.html

These sites show the results of Waterman’s research over a number of years.


Number 42 - 43 Polyhedra

http://web.ukonline.co.uk/polyhedra/

http://web.ukonline.co.uk/polyhedra/uniform/augmented/augment.html

These sites have a wide variety of aspects to do with polyhedra. The site uses VRML to show information.


Number 44 3D Puzzles

http://www.3dpuzzles.nl/polyhedra/engmainmenu.htm

This site is under construction but looks as though it will have material worth looking at.


Number 45 Beyond Flatland

http://www.4dsolutions.net/ocn/urner.html

Pascal’s Triangle etc. This is Flatland the software not the book that is referred to in Number 73.


Number 46 A Ride Through the Polyhedra World

http://www.ac-noumea.nc/maths/amc/polyhedr/index_e.htm

A site that uses many applets to illustrate and inform about Polyhedra. Some interesting extra notes.






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