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The semicircle arch is built so that the arch height is exactly half of the arch width. An 0.5% decent was the ideal angle, using lots of angles and arches in geometry.

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Pyramids are quite the advanced geometric shape, bringing lots of dimensions in the mix. This is geometric as it relates to plane, used in today's mathematics.

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Plato was a philosopher who's views shaped geometry to this day. a quote for his school being, "Let none ignorant of geometry enter here."

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Its widely believed that Isaac Newton and Gottfried Wilhelm Leibniz both discovered and created calculus in the 17th century.

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In 1854 Arthur shows that quaternions can represent rotations in four-dimensional space.

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Its seems mathematically impossible, Romans probably used a method called the "carpenter's oval" construction to make identical ovals. Really connecting with their inner Geometry.

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Very complicated mapping for this train was done using geometry. The landscape and railway system was graphed with advanced math.

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The curvature of the tower's legs are mathematically determined to give the most wind resistance possible. Thousands of perfect rectangles and parallelograms are formed with the metal bars.

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The Taj mahal is a symmetrical building using lots of math to build everything around the center axis of the structure.

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Precise geometry was used in the building in all of the proportion. Making this a bit of an art peice.

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The Cathedrals construction was based on the rotations of the squares and their sturdiness. many years of planning went into the massive amount of equilateral triangles.

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The united nations building is a block that was designed using Le Corbusier's Modulor scale of proportions. The building is a wopping 505 ft tall.

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The tower is one of the tallest free standing towers. This can relate to Geometry because its like the y-axis, and Geometry was a major contribution in building.

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This arch is something called, "inverted catenary curve". The shape was made with the chain that was holding it on both ends.

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The Tower of Pisa, wasn't always leaning. It was first built using the geometrical ideas and construction. But clearly the math was wrong!

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This geometric roof was inspired by most things nature. like walnuts, clouds, and even birds using many triangle and circles in its making

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The Crazy building is an art exhibit. This is made up of many geometric shapes like circles, calculated to perfectly fit together.

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This geometric masterpiece of a building is a whopping 2,716.5 feet tall. Its has something called a "Y-shaped tripartite floor geometry".

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This twisty sculpture is wood! Its very geometric with lots of squares making its design. It has five level, and a walkway through it.

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This Crazy seemingly gravity defying structure is somewhat of a geometrical architecture landmark. Its made of many many shapes all fitting together into one structure.

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This Crazy wild building was made for 2008 summer Olympics .