The Sacred Cu1 - The center square formed by this...

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The Sacred Cut In addition to the ad quadratum figure and the root-two rectangle, we have a third geometric system based on the square. It is called the Sacred Cut . Tons Brunes Slide 1-1: Secrets of Ancient Geometry and Its Use Cover of Brunes' Book This name was coined by the Danish Engineer Tons Brunes, in his book The Secrets of Ancient Geometry and Its Use . In that book he claims the sacred cut is found in the layout of many ancient building, including the Parthenon. The Sacred Cut Here is how the sacred cut is made. Draw a square. With a compass open to an amount equal to half a diagonal of the square, swing an arc with center at a corner of the square, passing through the center of the square and cutting two sides of the square. Repeat for the other three corners of the square. Through the eight points of intersection of the arcs and the sides of the square, draw four verticals and four horizontals.
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Unformatted text preview: The center square formed by this construction is called the sacred cut square. Connecting the eight points of intersection of the arcs and the sides of the square consecutively forms an octagon. Extending the Construction The construction can be extended inward, by repeating the construction on the sacred cut square. It can also be extended outward, joining the intersections of the circles and the diagonals, to form a square of which the original square is the sacred cut square. Why Sacred? Brunes calls this construction sacred because it contains both square and circle, uniting the earthly and the divine as in the Vitruvian man. Furthermore, it squares the circle . The length of the four arcs equal the four diagonals of the half-square. And, as mentioned, it gives the octagon , the shape universally used for baptistries and baptismal fonts....
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This note was uploaded on 11/05/2011 for the course ARH ARH2000 taught by Professor Karenroberts during the Fall '10 term at Broward College.

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The Sacred Cu1 - The center square formed by this...

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