Number 154 What does it mean to be Golden?
http://www.math.uiuc.edu/~gfrancis/math306/math306web/GoldenRatioPeteWintermute.htm
Good descriptions, links and lesson-plans to use.
Number 155 Softeware for the Golden Section
http://davidovsv.narod.ru/gs/
Free Software on the Golden Section. I have not personally downloaded it but it might be worth looking at.
Number156 Cartoons
http://www.cartoonstock.com/directory/m/mathematic.asp
No list of websites is complete without one website on cartoons.
Number 157 Inca Mathematics
http://agutie.homestead.com/files/index.html
Inca Mathematics and much more. There are proofs of many Geometric Theorems & Problems, interactive jigsaw type puzzles, quizzes, quotes, art and poetry. The Triangle Centre covers just about everything that you need to know about triangles. An Excellent site to visit.
Number158 Wikipedia definition of the Golden Section
http://en.wikipedia.org/wiki/Golden_ratio
I recommend Wikipedia as a source of information.
Number 159 Wikipedia on Gradians
http://en.wikipedia.org/wiki/Gradians
This is the only reference that I have found on Gradians. I have often wondered why it is on our calculators.
Number 160 Wikipedia on Polyhedra
http://en.wikipedia.org/wiki/Polyhedron
Number161 Zero Directory
http://zerodirectory.com/index.php/Science/Math/Recreations/?page=3
Yet another excellent website with a lot of interesting information.
Number 162 Calendars
http://home.att.net/~numericana/answer/index.htm#calendar
A very extensive site on all sorts of Calendars. Could be useful.
Number 163 Practical Formulae
http://home.att.net/~numericana/answer/formula.htm
A wide range of very useful formulae. (Even automotive formulae)
Number 164 Games
http://home.att.net/~numericana/answer/games.htm
A series of games for two players. The games are explained and theory on strategies is given.
Number165 Humour
http://home.att.net/~numericana/answer/humor.htm
A good mathematical joke is better than a dozen mediocre papers.
Number 166 Numericana’s Index
http://home.att.net/~numericana/answer/index.htm
This is a must site. There is a huge variety of interesting information on this site together with more links.
Number 167 Magic
http://home.att.net/~numericana/answer/magic.htm
Some simple maths tricks and also a link to another site.
Number 168 Roman Numerals
http://home.att.net/~numericana/answer/roman.htm
All you need to know about Roman Numerals.
Number 169 Prefixes
http://home.att.net/~numericana/answer/units.htm#prefix
This is the ultimate list in prefixes.
Number 170 The Isohedra
http://mathworld.wolfram.com/Isohedron.html
There are 30 Isohedra each with an even number of sides and all of which make fair dice.
Number 171 Diversions in Maths and Numbers
http://members.aol.com/s6sj7gt/mikehome.htm
Some book reviews plus a lot of other information and trivia.
Number I72 Mike Keith’s Poly
http://members.ozemail.com.au/~llan/download/poly.exe
Downloadable software.
Number 173 Mike Keith’s Poly
http://members.ozemail.com.au/~llan/download/poly.zip
Downloadable software Zip
Number 174 - 175 Movie of the book 59 Icosahedra
http://members.ozemail.com.au/~llan/i59.html
http://members.ozemail.com.au/~llan/index.html
This is an interesting look at the 59 Icosahedra.
Number 176 Trig Without Tears
http://oakroadsystems.com/twt/solving.htm
An excellent site for Trigonometry. Well worth a visit.
Number 177 Buckmaster Fuller Institute
http://www.bfi.org/domes/
An overview of the work of Buckmaster Fuller.
Number 178 Games, Puzzles, Illusions and Sudoko
http://www.brainbashers.com/
Really good, entertaining site with so much to do and so many ideas to glean for the classroom.
There many hundreds of these puzzles etc together with their solutions and the puzzzles can be printed off.
Number 179 Brainteasers
http://www.braingle.com/
Quote from the site …….. ‘With over 10,000 brain teasers, riddles, logic problems and mind puzzles submitted and ranked by users like you, Braingle has the largest collection anywhere on the internet. Our large array of unique online multiplayer games will keep you entertained for hours, and if you want to improve your brain, check out the Mentalrobics section. If you crave a brain teaser, mind puzzle, riddle or game, we are the place to get it. Increase your creativity, boost learning and become a better person at Braingle. Get ready to have your brain tangled!’
Number 180 Tetrahedral Kite using Straws
http://www.cit.gu.edu.au/~anthony/kites/tetra/straw_plan/
This site gives full instructions on how to build and fly this kite. Maybe a class activity working in pairs and in competition with each other.
Number 181 Fibonacci Facts
http://www.cs.rit.edu/~pga/Fibo/fact_sheet.html
With a brief introduction to Fibonacci the site gives a very good bibliography on the following areas where Fibonacci is involved
1. BOTANY, BIOLOGY. The growth patterns of plants; the geneological tree of the male bee; the crossroads of mathematics and biology
2. PHYSICAL SCIENCES. Atomic fission asymmetries; ladder and cascade electronic network analysis; reflection paths of light; musical properties; computer programming and search strategies; tributary patterns of streams and drainage patterns; fractal branching of diffusion aggregates.
3. BUSINESS AND ECONOMICS, EDUCATION, POETRY. Stock market cycles; business cycles; teaching slow learners; analyzing poetry.
4. THE GOLDEN RATIO, ARCHAEOLOGICAL STUDIES, ARCHITECTURE, FINE ARTS. The Great Pyramid of Gizeh; harmonic design in Minoan architecture; the Parthenon of the Acropolis in Athens; ancient Roman mosaics; the Golden Ratio in art and architecture.
5. GENERAL REFERENCES
Number 182 Magnus Wenninger
http://www.employees.csbsju.edu/mwenninger/
This site is loaded with photographs of Wenninger’s models and is a great source of inspiration.
Number 183 Jaap’s Puzzle Page
http://www.geocities.com/jaapsch/puzzles/
If you are into moveable puzzles then this is the site for you. There is an amazing amount of this type of puzzle with solutions. Many of them can be done on screen using Java Applets. There is also a list of Maths related articles that look very interesting.
Number 184 Geodesics
http://www.geodesics-unlimited.com/geodesic_dome_platonic.htm
This is a commercial site but this part of the site is well worth investigating.
Number 185 Regular Polyhedra
http://www.geom.uiuc.edu/docs/reference/CRC-formulas/node56.html
The 5 basic Polyhedra together with some calculations.
Number 186 Pavilion of Polyhedreality
http://www.georgehart.com/pavilion.html
Any site with George Hart in it is worth visiting. There are certainly some surprising constructions on this site.
Number 187 Uniform Polytopes in Four Dimensions
http://members.aol.com/Polycell/uniform.html
The following is a statement from the website…
“This is the world’s only website that tabulates all the convex uniform (i.e., Platonic and Archimedean) polychora (that is, four-dimensional polytopes), and until Norman W. Johnson’s book Uniform Polytopes is published by Cambridge University Press, it remains the only place in the world where you can find this information!”
It is certainly interesting and has information plus.
Number 188 Encyclopedia of Polyhedra
http://www.georgehart.com/virtual-polyhedra/vp.html
As I have stated before George Hart is well worth a visit and this site is no exception. You can spend a lot of time here and learn a great deal of information.
Number 189 The Geometry Junkyard
http://www.ics.uci.edu/~eppstein/junkyard/
This site ia a favourite of mine that I continually go back to. The following quote will explain the site’s philosophy...“These pages contain use net clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff related to discrete and computational geometry. Some of it is quite serious, but I hope much of it is also entertaining. The main criteria for adding something here are that it be geometrical (obviously) and that it not fit into my other geometry page, Geometry in Action, which is more devoted to applications and less to pure math. I also have another page on non-geometrical recreational math.”
Number 190 - 191 Platonic and Archimedean Polyhedra
http://www.intent.com/sg/polyhedra.html
http://www.intent.com/elysian/sgds.html
I intend using the fold up patterns on this site as posters in my classroom
The second site is for the book Sacred Design Geometry Sourcebook. Would be a good addition to the Maths Library.
Number 192 More Puzzles
http://www.jimloy.com/puzz/puzz.htm
Yet another good source of activities with plenty of Geometry puzzles.
Number 193 Mahobe Books
http://www.mahobe.co.nz/activity/shapes.htm
A New Zealand website for Geometry Maths books.
Number 194 Kaleido Software
http://www.math.technion.ac.il/~rl/kaleido/
Software to download. Interesting page.
Number 195 Sliding Triangle Puzzle
http://www.mathcats.com/explore/puzzles/triangles.html
This interactive puzzle has various levels of difficulty and could be a challenge to students’ skills in logic.
Number 196 All Uniform Polyhedra
http://www.mathconsult.ch/showroom/unipoly/list.html
A site with just pictures and basic information. Unfortunately there are no nets of the Uniform Polyhedra.
Number 197 Archimedes
http://www.mcs.drexel.edu/~crorres/Archimedes/contents.html
A great site for studying this great Mathematician.
Number 198 The Golden Section Ratio ---- Phi
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phi.html
An excellent site on Phi.
Number 199 Golden Section
http://www.perseus.tufts.edu/GreekScience/Students/Tim/Golden.html
An interesting site but be warned … quote from the site… “WARNING: BORING MATH AHEAD! ONLY THE STOUT OF HEART DARE BRAVE THIS WORLD”
Number 200 Cone Generator Software
http://www.pulserate.com/
Software for cone generation. Could be useful.
Number 201
http://www.rwgrayprojects.com/synergetics/index/index.html
http://www.rwgrayprojects.com/synergetics/findex/findex.html
This is a very interesting site (rather technical), particularly the second address that has a great many diagrams that can be downloaded as posters. Just right click on the image and save into whereever.
Number 202 Triangular Geodesics
http://www.rwgrayprojects.com/synergetics/s11/p0000.html
For those of you that want to get down to the nitty gritty of Geodesics.
Number 203 The Geometry Centre
http://www.scienceu.com/geometry/facts/solids/
A good site for the students with plenty for them to discover and maybe discus. See the activities page. Information on tilings and tessellations is done in reasonable depth. There is also a great tetrahedral puzzle to make. There are several very good interactive patterning progammes as well.
Number 204 Uniform Polyhedra
http://www.sings.org/polyhedra/uniform.html
Just good illustrations. There are some good links.
Number 205 -206 Guy’s Polyhedra Pages
http://www.steelpillow.com/polyhedra/
http://www.steelpillow.com/stardust/catalog.htm#puzzles
A fascinating site. A few hours spent here will be well worthwhile. Great illustrations.
Number 207 Problem of the Month Archive
http://www.stetson.edu/~efriedma/mathmagic/
A site with regular problems to challenge the minds of interested people.
Number 208 Magic Cube 4D
http://www.superliminal.com/cube/cube.htm
This site is for Rubik’s Cube fans.
Number 209 Polyhedra Nets
http://www.tc.bham.ac.uk/bcweb/Nets/
10 Basic Nets to print off.
Number 210 Polyhedra
http://www.tki.org.nz/e/full_record.php?id=15962&xsl_lang=en
New Zealand website listing good links to Polyhedra Sites.
Number 211 Ministry of Education New Zealand
http://www.tki.org.nz/e/results.php?1%3Aelem=DC.Subject.Keyword&1%3Aval=Polyhedrons&1%3Avalop=AND&xsl_lang=en&xsl_path=
Ministry sites plus other links.
Number 212 Enumeration of Polyhedra
http://www.uwgb.edu/dutchs/symmetry/polynum0.htm
A site that is a little out of the ordinary and not really for the average student.
Number 213 A Site for Kids
www.coolmath4kids.com
A fun site that has many branches. There is something for everyone and it is worth a visit.
Number 214 Polyhedra Nets
www.isotropic.org/uw/polyhedra
There are some good nets available here.
Number 215 A Great Collection of Nets
www.korthalsaltes.com
More than enough nets to keep a class going for a long time.
Number 216 Maths Forum
www.mathforum.org
A site where students can seek answers to their maths problems.
Number 217 Mathworld
www.mathworld.wolfram.com
There is so much on this site that it has to go in the top ten sites
Number 218 Poly Software
www.peda.com/poly
Poly is a shareware program for exploring and constructing polyhedra. With Poly, you can manipulate polyhedral solids on the computer in a variety of ways. Flattened versions (nets) of polyhedra may be printed and then cut out, folded, and taped or glued, to produce three-dimensional models. Poly is used in schools and homes around the world.
Number 219 An online encyclopaedia of polyhedra and related topics
www.polyhedra.mathmos.net
Worth a peek.
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