Interactive Mathematics and Puzzles
The purpose of this site is set out in the Manifesto. You can navigate through the site with the help of red/yellow buttons at the top of every page, the left navigational bar, or a few buttons to the critical pages placed at the bottom of the site.
The site is a collection of K16 topics drawn from arithmetic,algebra,geometry,probability, logic, social sciences, math fallacies, visual illusions and a good deal of miscellany. More than 950 interactive Java illustrations help enliven some topics, while making others more comprehensible. One can get a good introduction at the contents page.
I am convinced that mathematics should be studied because of its intrinsic beauty, not because of its utility.
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http://www.cut-the-knot.org/triangle/80-80-20/Classical2.shtml
http://www.cut-the-knot.org/triangle/80-80-20/40-50Sol.shtml
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http://www.cut-the-knot.org/triangle/80-80-20/LongSol6.shtml
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http://www.cut-the-knot.org/triangle/80-80-20/LongSol5.shtml
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http://www.cut-the-knot.org/triangle/80-80-20/Classical6.shtml
http://www.cut-the-knot.org/triangle/80-80-20/Classical9.shtml
http://www.cut-the-knot.org/triangle/80-80-20/60-70Sol1.shtml
http://www.cut-the-knot.org/triangle/80-80-20/60-70Sol2.shtml
http://www.cut-the-knot.org/triangle/80-80-20/IndexToLong.shtml
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http://www.cut-the-knot.org/triangle/InscribedQuadri.shtml
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http://www.cut-the-knot.org/triangle/Frieze.shtml
http://www.cut-the-knot.org/triangle/Triangles.shtml
http://www.cut-the-knot.org/triangle/StrongTriangleInequality.shtml
http://www.cut-the-knot.org/triangle/TrigCeva.shtml
http://www.cut-the-knot.org/triangle/n-parts.shtml
http://www.cut-the-knot.org/triangle/remarkable.shtml
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http://www.cut-the-knot.org/triangle/EulerIO.shtml
http://www.cut-the-knot.org/triangle/ABisector.shtml
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http://www.cut-the-knot.org/triangle/Morley/newman.shtml
http://www.cut-the-knot.org/triangle/Morley/Smyth.shtml
http://www.cut-the-knot.org/triangle/Morley/Naraniengar.shtml
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http://www.cut-the-knot.org/triangle/Morley/Aljaddou.shtml
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http://www.cut-the-knot.org/triangle/Morley/index.shtml
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http://www.cut-the-knot.org/triangle/Morley/MorleyZsolt.shtml
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http://www.cut-the-knot.org/triangle/Morley/Dergiades.shtml
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http://www.cut-the-knot.org/triangle/tr4.shtml
http://www.cut-the-knot.org/triangle/IMO2006-1.shtml
http://www.cut-the-knot.org/triangle/altEuler.shtml
http://www.cut-the-knot.org/triangle/EqualAreasIMO2007_Sol4.shtml
http://www.cut-the-knot.org/triangle/medians.shtml
http://www.cut-the-knot.org/triangle/Markowsky.shtml
http://www.cut-the-knot.org/triangle/EqualAreasIMO2007.shtml
http://www.cut-the-knot.org/triangle/VanObel.shtml
http://www.cut-the-knot.org/triangle/HardSangaku.shtml
http://www.cut-the-knot.org/triangle/MaxwellBarycenter.shtml
http://www.cut-the-knot.org/triangle/Fagnano.shtml
http://www.cut-the-knot.org/triangle/barycenter.shtml
http://www.cut-the-knot.org/triangle/InscribedSquare.shtml
http://www.cut-the-knot.org/triangle/CharacteristicPropertyOfCentroid.shtml
http://www.cut-the-knot.org/triangle/MetricRelationsInTriangle.shtml
http://www.cut-the-knot.org/triangle/Sawayama.shtml
http://www.cut-the-knot.org/triangle/A-B-G.shtml
http://www.cut-the-knot.org/triangle/Lemoine/LemoineGen.shtml
http://www.cut-the-knot.org/triangle/RouthTheorem.shtml
http://www.cut-the-knot.org/triangle/glasses.shtml
http://www.cut-the-knot.org/triangle/EqualAreasIMO2007_Sol6.shtml
http://www.cut-the-knot.org/triangle/EqualAreasIMO2007_Sol7.shtml
http://www.cut-the-knot.org/triangle/VersineSangaku.shtml
http://www.cut-the-knot.org/triangle/Taylor.shtml
http://www.cut-the-knot.org/triangle/EqualAreasIMO2007_Sol5.shtml
http://www.cut-the-knot.org/LewisCarroll/bitable.shtml
http://www.cut-the-knot.org/LewisCarroll/LCGame.shtml
http://www.cut-the-knot.org/LewisCarroll/tritable.shtml
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http://www.cut-the-knot.org/LewisCarroll/devlin.shtml
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http://www.cut-the-knot.org/LewisCarroll/index.shtml
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http://www.cut-the-knot.org/LewisCarroll/Venn.shtml
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http://www.cut-the-knot.org/LewisCarroll/biapplet.shtml
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http://www.cut-the-knot.org/proofs/average.shtml
http://www.cut-the-knot.org/proofs/two_color.shtml
http://www.cut-the-knot.org/proofs/swivel.shtml
http://www.cut-the-knot.org/proofs/carnot.shtml
http://www.cut-the-knot.org/proofs/Averages.shtml
http://www.cut-the-knot.org/proofs/FermatPrimes.shtml
http://www.cut-the-knot.org/proofs/eulers.shtml
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http://www.cut-the-knot.org/proofs/fords.shtml
http://www.cut-the-knot.org/proofs/3circles.shtml
http://www.cut-the-knot.org/proofs/PegsAndGroups.shtml
http://www.cut-the-knot.org/proofs/HarmonicPrimes.shtml
http://www.cut-the-knot.org/proofs/mediant.shtml
http://www.cut-the-knot.org/proofs/Lemma.shtml
http://www.cut-the-knot.org/proofs/chocolad.shtml
http://www.cut-the-knot.org/proofs/longest.shtml
http://www.cut-the-knot.org/proofs/HarukiTheorem.shtml
http://www.cut-the-knot.org/proofs/3circlesFormal.shtml
http://www.cut-the-knot.org/proofs/tictactoe.shtml
http://www.cut-the-knot.org/proofs/checker.shtml
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http://www.cut-the-knot.org/proofs/jap.shtml
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http://www.cut-the-knot.org/proofs/ManyCircles.shtml
http://www.cut-the-knot.org/proofs/Why17.shtml
http://www.cut-the-knot.org/proofs/rsolitaire.shtml
http://www.cut-the-knot.org/proofs/AveragesIII.shtml
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http://www.cut-the-knot.org/proofs/inequality.shtml
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http://www.cut-the-knot.org/proofs/Mercer.shtml
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