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In this model, a glass pipe is filled with a liquid.
The word CHOICE and SELECTION are written on a paper
and placed under the liquid. When the words are inverted
and seen through the liquid, the word SELECTION changes
but not the word CHOICE. This is because of a mathematical
concept known as symmetry. Some of the English letters
appear the same even when inverted.
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Factorization of trinomials of the type ax2+bx+c can
be illustrated with factorization blocks. It comprises
a few squares of side 'x' units. The number of squares
is optional. Then we have several rectangular strips
of length 'x' units and breadth one unit. There are
also a number of squares of length one unit. The thickness
of all the pieces must be the same for good visual appeal.
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This is one of the most popular theorems in geometry
for several centuries now. This theorem found a place
in the Guinness Book of World Records for having more
than 400 proofs. This model demonstrates that the sum
of the area of the two triangles on the sides of a right-angled
triangle is equal to the area of the triangle on the
hypotenuse.
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