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Around the golden ratio Sabri F., Thomas F. Pyramid of Cheops.

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Presentation on theme: "Around the golden ratio Sabri F., Thomas F. Pyramid of Cheops."— Presentation transcript:

1 Around the golden ratio Sabri F., Thomas F. Pyramid of Cheops

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3 Built in 2560-2540 BC Sculpture of Imhotep Sculpture known as the head of Cheops By Kheops (A pharaoh), Hemiounou and Imhotep (architects) and egyptians of the Ancient World

4 Hemiounou

5 The Pyramid of Cheops (also known as the Pyramid of Khufu or the great Pyramid of Giza) is the oldest and largest of the three pyramids in the Giza Necropolis bordering what is now El Giza, in Egypt. It is believed this pyramid was built as a tomb for 4 th dynasty Egyptian pharao Cheops and was constructed over a 20 year period. It’s also the oldest of the Seven Wonders of the Ancient World, and the only one to remain largely intact. Height : 138.8 metres Base : 230.4 metres The pyramid remained the tallest man-made structure in the world for over 3,800 years, unsurpassed until the 160-metre- tall spire of Lincoln Cathedral was completed c. 1300.

6 We know that : AA' = 232,805 m OA = 232,805 / 2 ≈ 116,403 m We are looking for SA: In the SOA triangle, according to the Pythagorean Theorem: SA² = OS² + OA² SA² ≈ 21965,611264 + 13549, 658409 SA² ≈ 35515,26967 So, SA ≈ 188,455 m Then we have the ratio: SA / OA ≈ 188, 455 / 116, 503 ≈1, 61759783 The golden ratio, supposed to appear in the middle of The Ancient Greece, was in fact, already present in the massive Egyptian Pyramid: The Pyramid of Cheops.

7 The End …


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