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Cut the knot: Visual Illusions A collection of about 20 illusions - all accompanied by Java applets. Interactively changeable attributes help investigate which ones are in fact responsible for tricking the brain.


Cut-the-knot.org DMOZ 1-10 of 18

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Directory: Games / Puzzles / Brain_Teasers / Optical_Illusions
Title: Cut the knot: Visual Illusions
Description: A collection of about 20 illusions - all accompanied by Java applets. Interactively changeable attributes help investigate which ones are in fact responsible for tricking the brain.
Location: http://www.cut-the-knot.org/Curriculum/index.shtml#illusions
 
  
Directory: Science / Math / Algebra / Basic_Algebra
Title: Mathematical Induction
Description: Explains the process of making and proving conjectures about the behavior of equations that a repetitive trait, such as summation formulas. Includes the rules for a valid induction and some examples.
Location: http://www.cut-the-knot.org/induction.shtml
 
  
Directory: Science / Math / Combinatorics
Title: Generating Functions
Description: Introduction to generating functions with interactive java applets by Alexander Bogomolny.
Location: http://www.cut-the-knot.org/blue/GeneratingFunctions.shtml
 
  
Directory: Science / Math / Geometry
Title: The Complete Quadrilateral
Description: Several properties of the complete quadrilateral illustrated with Java applets
Location: http://www.cut-the-knot.org/ctk/CompleteQuadrilateral.shtml
 
  
Directory: Science / Math / Geometry
Title: The Lepidoptera of the Circles
Description: The Butterfly theorem and its generalizations illustrated by Java applets.
Location: http://www.cut-the-knot.org/ctk/Lepidoptera.shtml
 
  
Directory: Science / Math / Geometry
Title: Archimedes' Book of Lemmas
Description: A collection of all 15 propositions from Archimedes' Book of Lemmas with complete proofs, each accompanied by a Java illustration.
Location: http://www.cut-the-knot.org/Curriculum/Geometry/BookOfLemmas/index.shtml
 
  
Directory: Science / Math / Geometry
Title: Cut the Knot
Description: Features articles about specific problems, illusions, and puzzles. Includes diagrams.
Location: http://www.cut-the-knot.org/geometry.shtml
 
  
Directory: Science / Math / Geometry
Title: Sangaku: Reflections on the Phenomenon
Description: Critical reflections on the sangaku phenomenon accompanied by a collection of solved sangaku problems, many with interactive Java illustrations.
Location: http://www.cut-the-knot.org/pythagoras/Sangaku.shtml
 
  
Directory: Science / Math / Geometry / Plane_Geometry
Title: Pythagorean Theorem
Description: A collection of 43 proofs - some interactive - of the Pythagorean theorem.
Location: http://www.cut-the-knot.org/pythagoras/index.shtml
 
  
Directory: Science / Math / Geometry / Polytopes
Title: Pick's Theorem
Description: Describes a theorem for finding an area of simple lattice polygons. Includes proof and Java applet simulation.
Location: http://www.cut-the-knot.org/ctk/Pick.shtml
 
  

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