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Table of Contents



Brief overview of Symmetry:3

Geometry and Symmetry:7

Reflectional Symmetry:12

Rotational Symmetry:13

Translational Symmetry:13

Glide Reflection:14

Crystal Symmetry:15

Rules of Symmetry:16




Since Homo sapiens is our favorite species has shown that collective features have been distinguished from all others. These features include the ability to use energy to power social activities and also a peculiar use of tools. Not that the Homo habilis first after-sapiens were the only animal experienced in handling utensils. Here we have the classics and documentaries that show business apes such as chimpanzees using straws to fish termites or birds like the vulture that breaks even ostrich eggs with the help of stones. However, the manufacture of even the most primitive human tools already presents an unequivocal identity seal. And many of our ape relatives would be able to break up a boulder or block of flint striking it with another stone and could thus obtain a kind of stone tool single shear, but no one would think the bright idea of ??turning that first chipped stone to get another single blow by adding a second block of the first symmetric and result in a double-sided, one of the great discoveries of our oldest Paleolithic technology. We see how, although at first it was an intuitive rather than rational, our species comprising the symmetrical from the beginning and has found symmetry relations in the most unexpected places and devising ways to exploit or just to celebrate it. This paper discusses symmetry with reference to geometry in a holistic context.


Brief overview of Symmetry:

The construction of temples and monumental works like the Mayan pyramids of ancient Egypt or are a good example of holding the symmetry. Regardless of its function, ritual or astronomical in some cases, funeral in others, the perfect proportion of these sets mark the footprint of human architect of old, as if to distinguish his own work from that of his mother nature. And when they change cultures and beliefs, and even ancient gods undergo metamorphosis, but change the forms of temples, aesthetics remains symmetrical and shows us the Greek Parthenon and the Colosseum, only broken forever, and plasma wall designs of the Alhambra in Granada, and strain on the soles of the Romanesque churches and in the design of Gothic cathedrals, and even Gaudi, the most earthy of architects immortal succumbs to his strength and his Holy yields symmetrical Family.

The Parthenon in Athens:

Classical Greece is the source of symmetry and canon and an unusual cause of symmetry. The bilateral symmetry of the human Christ is transferred to his cross and from this to the soles of their cathedrals. The modernist Gaudi also succumbed to the power of symmetry and this is that the symmetry is no stranger to any of the arts, the metric of poetry and music the lock, the visual arts is offered to our eyes as opposed to chaos. Order and Chaos struggling for its place in our mind, masterfully balanced symmetry and asymmetry at the top of the Sistine Chapel, the Christ of Velazquez in the paintings ...
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