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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 =
(a^{2} + 2ab + b^{2} 
4ab)/2 =
(a^{2}  2ab + b^{2})/2
= (a  b)^{2}/2 
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Quiz
#6 

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has at least one logic or math puzzle that
is his or her favorite. Send
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Puzzle
#7, maths, by K.
Benz 
A
10meter 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 




We
see what we know
by Gianni Sarcone
Bruno
Munari (Milan, 19071998), 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 shortcut 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.

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ORIGINAL Wunderkammer fact 



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MATEMAGICA blackline
masters for making over 25 funny math puzzles! A collection
of incredible puzzles and optical illusions with easytofollow
instructions (in Italian). Ideal for math
workshops. 
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ARCHIMEDES is
an interactive review devoted to entertaining and involving
its readers with puzzles, recreational mathematics
and visual creativity. 
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Everyone
has at least one logic or math puzzle
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us yours and let all our readers enjoy them!



•••
Month's Quote
"There
are always exceptions..."
Anonymous
•••
Math Gems
cos^{2}a+sin^{2}a =
1
••• 


Vanishing
egg 
