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The Fibonacci Drawing Board Design of the Great Pyramid of Gizeh
... 이제 이집트인의 정사각형화 문제를 선분 AB 와 평행한 원의 지름을 사용하여 유클리드 사각형을 작도하고 이어서 쿠푸왕의 대 피라미드도 함께 작도하여 보자 [20,21,2]. ...
... 이제 이집트인의 정사각형화 문제를 선분 IJ와 평행한 원의 지름을 사용하여 유클리드 사각형을 작도하고 이어서 쿠푸왕의 대 피라미드도 함께 작도하여 보자( [1], [2], [5]). ...
... Colonel R. S. Beard states that, "Sir William Petrie himself was thoroughly convinced that the Egyptians constructed the pyramid with a height-to-width-of-base ratio of seven to eleven." [16]. ...
The golden ratio is found to be related to the fine-structure constant, which determines the
strength of the electromagnetic interaction. The golden ratio and classical harmonic propor-
tions with quartic equations give an approximate value for the inverse fine-structure constant
the same as that discovered previously in the geometry of the hydrogen atom. With the former
golden ratio results, relationships are also shown between the four fundamental forces of nature:
electromagnetism, the weak force, the strong force and the force of gravitation.
(PDF) Golden Ratio Geometry and the Fine-Structure Constant. Available from: https://www.researchgate.net/publication/336937435_Golden_Ratio_Geometry_and_the_Fine-Structure_Constant [accessed Nov 01 2019].
... Colonel R. S. Beard states that, "Sir William Petrie himself was thoroughly convinced that the Egyptians constructed the pyramid with a height-to-width-of-base ratio of seven to eleven." [16]. Ernest Pecci quotes Thoth: "The Pyramid is a representation of all created things. ...
Abstract:
The golden ratio is found to be related to the fine-structure constant, which determines the
strength of the electromagnetic interaction. The golden ratio and classical harmonic propor-
tions with quartic equations give an approximate value for the inverse fine-structure constant
the same as that discovered previously in the geometry of the hydrogen atom. With the former
golden ratio results, relationships are also shown between the four fundamental forces of nature:
electromagnetism, the weak force, the strong force and the force of gravitation.
(PDF) Golden Ratio Geometry and the Fine-Structure Constant. Available from: https://www.researchgate.net/publication/336663995_Golden_Ratio_Geometry_and_the_Fine-Structure_Constant [accessed Oct 25 2019].
... Colonel R. S. Beard states that, "Sir William Petrie himself was thoroughly convinced that the Egyptians constructed the pyramid with a height-to-width-of-base ratio of seven to eleven." [25]. ...
The fine-structure constant, which determines the strength of the electromagnetic interaction, is briefly reviewed beginning with its introduction by Arnold Sommerfeld and also includes the interest of Wolfgang Pauli, Paul Dirac, Richard Feynman and others. Sommerfeld was very much a Pythagorean and sometimes compared to Johannes Kepler. The archetypal Pythagorean triangle has long been known as a hiding place for the golden ratio. More recently, the quartic polynomial has also been found as a hiding place for the golden ratio. The Kepler triangle, with its golden ratio proportions, is also a Pythagorean triangle. Combining classical harmonic proportions derived from Kepler’s triangle with quartic equations determine an approximate value for the fine-structure constant that is the same as that found in our previous work with the golden ratio geometry of the hydrogen atom. These results make further progress toward an understanding of the golden ratio as the basis for the fine-structure constant.
... The inverse fine-structure constant α −1 is a root of: S. Beard states that, "Sir William Petrie himself was thoroughly convinced that the Egyptians constructed the pyramid with a height-to-width-of-base ratio of seven to eleven." [25]. ...
The fine-structure constant, which determines the strength of the electromagnetic interaction, is briefly reviewed beginning with its introduction by Arnold Sommerfeld and also includes the interest of Wolfgang Pauli, Paul Dirac, Richard Feynman and others. Sommerfeld was very much a Pythagorean and sometimes compared to Johannes Kepler. The archetypal Pythagorean triangle has long been known as a hiding place for the golden ratio. More recently, the quartic polynomial has also been found as a hiding place for the golden ratio. The Kepler triangle, with its golden ratio proportions, is also a Pythagorean triangle. Combining classical harmonic proportions derived from Kepler's triangle with quartic equations determine an approximate value for the fine-structure constant that is the same as that found in our previous work with the golden ratio geometry of the hydrogen atom. These results make further progress toward an understanding of the golden ratio as the basis for the fine-structure constant. . . . . . .
Journal of Advances in Physics https://doi.org/10.24297/jap.v16i1.8402
The purpose of this paper is to offer a history of golden ratio, the criterion raised by Markowsky, and misconceptions about golden ratio. Markowsky(1992) insists that the golden ratio does not appear in the great pyramid of Khufu. On the contrary, we claim that there exists the golden ration on it. Elementary and middle school text books, and domestic history books deal with the great pyramid of Khuff and the Parthenon by examples of the golden ratio. Text books make many incorrect statements about golden ratio; so in teaching and learning the golden ratio, we recommend the design-composition of dynamic symmetry, for example, industrial design, aerodynamic, architecture design, and screen design. Finally we discuss the axial age how to affect the school mathematics with respect to the subject of Thales and the golden ratio.
A Lexicon to Herodotus Cambridge (England)1938 x + 392
- J E Powell