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Previous Puzzles of the Month + Solutions
April 2004

 Puzzle #96 Quiz/test #6 W-kammer #6
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Puzzle #96
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Inscribe the rectangle below in the largest possible rectangle (R) and in the largest possible square (S). Then demonstrate that: Area of S - Area of R = (a - b)2/2
 (b < a)

Area of Square S: (a/2 + b/2)2 = (a + b)2/2
Area of Rectangle R: 2 x ab
Area S - Area R: (a + b)2/2 - 2ab =
(a2 + 2ab + b2 - 4ab)/2 =
(a2 - 2ab + b2)/2 = (a - b)2/2
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Previous puzzles of the month...

 August 98: the irritating 9-piece puzzle September 98: the impossible squarings October 98: the multi-purpose hexagon November 98: the incredible Pythagora's theorem December 98: the cunning areas January 99: less is more, a square root problem February 99: another square root problem... March 99: permutation problem... April 99: minimal dissections July 99: jigsaw puzzle August 99: logic? Schmlogic... September 99: hexagon to disc... Oct-Nov 99: curved shapes to square... Dec-Jan 00: rhombus puzzle... February 00: Cheeta tessellating puzzle... March 00: triangular differences... Apr-May 00: 3 smart discs in 1... July 00: Funny tetrahedrons... August 00: Drawned by numbers... September 00: Leonardo's puzzle... Oct-Nov 00: Syntemachion puzzle... Dec-Jan 01: how many squares... February 01: some path problems... March 01: 4D diagonal... April 01: visual proof... May 01: question of reflection... June 01: slice the square cake... July 01: every dog has 3 tails... Aug 01: closed or open... Sept 01: a cup of T... Oct 01: crank calculator... Nov 01: binary art... Dec 01-Jan 02: egyptian architecture... Feb 02: true or false... March 02: enigmatic solids... Apr 02: just numbers... May 02: labyrinthine ways... June 02: rectangle to cross... July-Aug 02: shaved or not... Sept 02: Kangaroo cutting... Oct 02: Improbable solid... Dec-Jan 03: Hands-on geometry Feb-Mar 03: Elementary my dear... Apr-May 03: Granitic thoughts June-July 03: Bagels... September 03: Larger perimeter... Oct-Nov 2003: square vs rectangle Dec-Jan 04: curvilinear shape... February 04: a special box March 04: magic 4 T's...

Quiz #6
 Test your visual attention online 1. If x is the side-length of the square below, then: a) 3

 Everyone has at least one logic or math puzzle that is his or her favorite. Send us yours and let all our readers enjoy them!

Posted puzzles
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 Puzzle #7, maths, by K. Benz A 10-meter cable hangs between two electric poles that are 13 meters high. The ends of the cable are attached to the tops of the poles. At its lowest point, the cable hangs 8 meters above the ground. How far are the electric poles apart? Rate: ••• Solution #7 Puzzle #8, logic, by Bessie Bessy Two magic speaking geese are at a crossroad, one always tells the truth and one always lies. One path of the crossroad leads to the Land of Plenty, and the other one to Hell. To find your way (to Land of Plenty!) you can ask only one question to any one of the geese. Rate: ••• Solution #8

Wunderkammer #6
 Puzzling facts
 We see what we know by Gianni Sarcone   Bruno Munari (Milan, 1907-1998), artist, painter, designer, writer and experimenter of new forms of art, pioneered fundamental changes in the teaching of design throughout Italy and worldwide. Munari distinguished between programmed art and ‘inspired’ art. From his point of view, the all important factor was the design and therefore the application. Being a contemporary artist he viewed objects in a process of evolution: function, use, esthetics.   Creativity, according to Munari, involves observation and stimulating others to observe... Gathering information about the world around us and extracting essential data using simple mental games of shape transformation (Munari himself said: ‘Take life as seriously as a game’). Bruno Munari was fascinated by visual brainteasers and was used to stimulate his students with puzzles. View the rainbow in profile   Knowing the essential meaning of the images that surround us enlarges our vision of reality and allows us to create a new reality. Opening ones eyes wider in the creative process is essential in realising innovative ideas. For example, everybody in the USA remembers pyramid shaped milk cartons but not so many know that these cartons were made from an initial cylinder shape (by closing the top and the base of a cylinder shape in a certain manner). This affects the manufacturing process (saving of time and material). Inventiveness is a result of looking for an elegant short-cut to reach a visual or technical effect.   Below is an example of Bruno Munari’s exercise designed to stimulate visual creativity. Moving 4 basic pieces through a point of symmetry makes kaleidoscopic patterns appear. It’s a purely esthetic exercise. Suggest an ORIGINAL Wunderkammer fact

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 Everyone has at least one logic or math puzzle that is his or her favorite. Send us yours and let all our readers enjoy them!
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