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corner top left Previous Puzzles of the Month + Solutions  
April 2004  

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logo puzzle of the month 1 Puzzle #96
Quiz/test #6 logo pzm 2
logo pzm 3 W-kammer #6
   Enjoy solving Archimedes' Lab™ Puzzles!

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 francais/italiano
puzzle 96
(b < a)

problem of the month, april
Area of Square S: (a/radix2 + b/radix2)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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Quiz #6
giflet 2 Send us your comments on this
Test your visual attention online
1. If x is the side-length of the square below, then:
a) 3<x2<4
b) 4<x2<4.5
a) 4.5<x2<5
square quiz
2. An arrow is printed on both sides of an octagon as shown below. Find the missing image:
geometric quiz
3. Find the misspelled word: 'Alice was now only ten inches high, and her face brightened up at the thought that she was now the right size for going though the little door into that lovely garden'
a) b) c) a) b) c) The word is

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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
giflet 3 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.
munari exercise

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•••
Month's Quote

"There are always exceptions..."
Anonymous
•••

Math Gems

cos2a+sin2a = 1
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optical illusion

Vanishing egg

 

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