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  2. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    The Great Pyramid of Giza. The Great Pyramid of Giza (also known as the Pyramid of Cheops or Khufu) has been analyzed by pyramidologists as having a doubled Kepler triangle as its cross-section. If this theory were true, the golden ratio would describe the ratio of distances from the midpoint of one of the sides of the pyramid to its apex, and ...

  3. Polyhedron - Wikipedia

    en.wikipedia.org/wiki/Polyhedron

    A square pyramid and the associated abstract polytope. Here, the elements of a square pyramid can be defined as the partially ordered set. One modern approach is based on the theory of abstract polyhedra. These can be defined as partially ordered sets whose elements are the vertices, edges, and faces of a polyhedron. A vertex or edge element is ...

  4. Octahedron - Wikipedia

    en.wikipedia.org/wiki/Octahedron

    The skeleton of a regular octahedron can be represented as a graph according to Steinitz's theorem, provided the graph is planar—its edges of a graph are connected to every vertex without crossing other edges—and 3-connected graph—its edges remain connected whenever two of more three vertices of a graph are removed.

  5. Great Pyramid of Giza - Wikipedia

    en.wikipedia.org/wiki/Great_Pyramid_of_Giza

    The Great Pyramid of Giza [a] is the largest Egyptian pyramid.It served as the tomb of pharaoh Khufu, who ruled during the Fourth Dynasty of the Old Kingdom.Built c. 2600 BC, [3] over a period of about 26 years, [4] the pyramid is the oldest of the Seven Wonders of the Ancient World, and the only wonder that has remained largely intact.

  6. Lagrange's four-square theorem - Wikipedia

    en.wikipedia.org/wiki/Lagrange's_four-square_theorem

    In the descent above, we must rule out both the case y 1 = y 2 = y 3 = y 4 = m/2 (which would give r = m and no descent), and also the case y 1 = y 2 = y 3 = y 4 = 0 (which would give r = 0 rather than strictly positive). For both of those cases, one can check that mp = x 1 2 + x 2 2 + x 3 2 + x 4 2 would be a multiple of m 2, contradicting the ...

  7. Pyramid of Pepi I - Wikipedia

    en.wikipedia.org/wiki/Pyramid_of_Pepi_I

    On the north face of the pyramid, remnants of a 4.2 metres (14 ft; 8.0 cu) wide north chapel were found. The substructure to the pyramid was discovered filled with sand and debris, but once cleared revealed a large 7.34 m (24.1 ft; 14.01 cu) (east-west) by 3.15 m (10.3 ft; 6.01 cu) (north-south) burial chamber.

  8. Maslow's hierarchy of needs - Wikipedia

    en.wikipedia.org/wiki/Maslow's_hierarchy_of_needs

    The pyramid begins at the bottom with physiological needs (the most prepotent of all) and culminates at the top with self-actualization needs. In his later writings, Maslow added a sixth level of ‘meta-needs’ and metamotivation. [4] [5] The hierarchy of needs developed by Maslow is one of his most enduring contributions to psychology. [6]

  9. Pyramid of Sahure - Wikipedia

    en.wikipedia.org/wiki/Pyramid_of_Sahure

    By comparison, the 800 m 2 (8,600 sq ft) temple of Sneferu's Red Pyramid at Dahshur, and 2,000 m 2 (22,000 sq ft) temple of Khufu's Great Pyramid had no storerooms, while the 1,265 m 2 (13,620 sq ft) temple of Khafre's pyramid reserved less than 200 m 2 (2,200 sq ft) of space for storerooms, accounting for 15.8% of its total area. This change ...