Section a polyhedra Section b flag Construction Section C

Number 47 Answers

This site gathers information from the many dictionaries and encyclopedias on line and gives very detailed information about all sorts of polyhedra and their families. A very good reference site.

This site has a series of Polyhedra Posters for sale and there are booklets with the posters.

A well illustrated site with the Platonics, the Kepler-Poinsot solids and a good explanation of Duality.

An interactive site covering a number of Maths areas. Could be useful for junior or low ability classes.

This site shows models that are decorated with Islamic patterns. It could inspire the more artistic students.

Number 52 Polyhedra Software

http://www.cict.co.uk/software/maths/stellated.htm

I have not used this software but it is reasonably priced and may be useful.

Number 53 Centre for Innovation in Mathematics Teaching

http://www.cimt.plymouth.ac.uk/

I think that this site would be well worth exploring.

Number 54 A Guide to Sources of Mathematics on the Internet

http://www.cimt.plymouth.ac.uk/resources/links/default.htm

An excellent source of information with many other websites to visit.

Number 55 CoolMath4Kids

http://www.coolmath4kids.com/polyhedra.html

A site designed for kids and is bright, attractive and user friendly. Kids would enjoy using this site.

Number 56 Unfolding Models to Nets

http://www.cs.mcgill.ca/~sqrt/unfold/unfolding.html

An animated site that shows the unfolding of many shapes into nets. This includes all the pentominoes. Perhaps another project for group work.

Number 57 PDF

http://www.cs.rice.edu/~jwarren/papers/dualBary.pdf

This PDF is rather technical but I include it for those that are interested in theory.

Number 58 and 59 Jim Planks Origami page

http://www.cs.utk.edu/~plank/plank/origami/origami.html

http://www.cs.utk.edu/~plank/plank/origami/poly.pdf

Modular models.

Number 60 Gergonne’s Magic

http://www.cut-the-knot.org/Curriculum/Magic/GergonneMagic.shtml

A lot of interesting tricks and puzzles. Worth looking at.

Number 61 Cut the Knot

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

This site is full of information on Polyhedra and also has a lot of puzzles.

Number 62 Euclid’s Elements on the Platonics

http://www.dform.com/projects/euclid/

Geometry as it used to be. A nice bit of history and mathematical discipline.

Number 63 Enchanted Learning

http://www.enchantedlearning.com/math/geometry/solids/

This site covers all areas of the Curriculum not just Mathematics. In the Mathematics side it covers everything and this page gives basic polyhedra and historical notes.

Number 64 Platonic and Archimedean Polyhedra

http://www.faculty.fairfield.edu/jmac/rs/polyhedra.htm

This site covers the basic 18 models and also leads to other theorems etc

Number 65 Plaited Polyhedra

http://www.faust.fr.bw.schule.de/mhb/flechten/indexeng.htm

A different approach to making Polyhedra. This technique is easy and downloadable patterns are available.

Number 66 KidsKount

http://www.fi.uu.nl/rekenweb/en/

An interactive website filled with all sorts of puzzles and games. Kids would love this one.

Number 67 Woven Polyhedra

http://www.freewebtown.com/adrian/geom/830_woven_polys/index.html

A rather advanced technique but one that is worth looking at. The enlarged images are quite amazing to see. Mainly geodesics.

Number 68 Platonic and Archimedean Polyhedra

http://www.friesian.com/polyhedr.htm

Another site with basic information presented in a slightly different way. It has links to George Hart’s website which is a must to visit.

Number 69 Platonics and the Soccerball

http://www.frontiernet.net/~imaging/polyh.html

There are interesting other parts to visit on this site.

Number 70 Geodesic Maths Links

http://www.geod.com/main/geomath.html

There are some very good links here.

Number 71 Polyhedra

http://www.geom.uiuc.edu/docs/reference/CRC-formulas/node55.html

Much theory and calculation but there are other interesting pages to follow through.

Number 72 George Hart

http://www.georgehart.com/

This site is a must. George Hart is a Sculptor as well as a mathematician. His site has a whole host of valuable information etc. He also shows his own works which are quite inspirational.
Number 73 Flatland the book

http://www.gold-software.com/9502.exe

This is a PDF of the book Flatland – A Romance of many dimensions. The book was first published in 1884. An 82 page book, which makes interesting reading. To Quote Wikipedia

The story

The story posits a two dimensional world (Flatland). The narrator, a humble square (named A. Square), guides us through some of the implications of life in two dimensions. A. Square dreams of a visit to a one-dimensional world (Lineland), and attempts to convince the realm's ignorant monarch of a second dimension. The narrator is then visited by a three-dimensional sphere, which he cannot comprehend until he sees the third dimension for himself. He then dreams of visiting Pointland (which comprises a self-aware point that occupies all space and knows nothing but itself) with the Sphere and learns that he cannot "rescue [the point] from his self-satisfaction". He learns to aspire and to teach others to aspire. The role of women is explained, along with a class system, both of which are a satire of Victorian society at the time.

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