2001 Nobel prize in chemistry was awarded to scientists who developed catalysts
that would determine the twists in the molecules and either remove the malignant
forms or change their orientation to the beneficial version.
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The billiards simulation
Diamond design
Frieze patterns
Mathematical art of M. C. Escher
Measurement microphones
Reflection of light
Reflectors
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Road coatings
Seismic reflection
Total internal reflection
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ROTATIONS
Rotations allow the same object to reappear along a circular path. For exam-
ple, in a tiling pattern, lizards can be rotated so that they tessellate, or fit neatly
into each others’ grooves, as shown in the following figure. Since there are three
congruent lizards in a circle centered around the intersection of the lizard’s
knees, the angle of rotation must be one-third of the degree measure of a circle,
which is 120 degrees.
Rotations are used in circular motion, such as the rotation of a wheel caused
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