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
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?
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.
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.
2
+ b/
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