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The Douglas Triangle, Khufu and Khafre
The Douglas Triangle, Khufu and Khafre
The Douglas triangle is a special right triangle using �� and ���3. It appears that its proportions and peculiarities impressed the Giza planners so much that they used it, when scaled by 50��, for the base lengths of the Khufu and Khafre pyramids. This paper presents the triangle and discusses some of its interesting features.
1.1.0 2 January 2022 : Added site diagrams with P5 cross having Douglas triangle and �� ratios.
Giza, geometry, history of mathematics, Egyptology, archaeogeometry, golden ratio
Giza, geometry, history of mathematics, Egyptology, archaeogeometry, golden ratio
[1] I. Douglas, 'Zep Tepi Mathematics 101', Zenodo, Jan. 2021. doi: 10.5281/zenodo.4445312.
[2] Douglas, Ian, 'The Beautiful Cubit System'. Jun. 30, 2019. [Online]. Available: https://doi.org/10.5281/zenodo.3263864
[3] Douglas, Ian, 'Diskerfery and the Alignment of the Four Main Giza Pyramids'. [Online]. Available: https://doi.org/10.5281/zenodo.3263926
[4] 'tanit - Google Search'. https://www.google.com/search?q=tanit&tbm=isch&hl=enGB&chips=q:tanit,online_chips:symbol:McH6rOBtFB4%3D,online_chips:carthaginian:gc8iBPz aGfc%3D (accessed Dec. 28, 2021).
[5] 'Lemniscate of Bernoulli', Wikipedia. Oct. 05, 2021. Accessed: Dec. 19, 2021. [Online]. Available: https://en.wikipedia.org/w/index.php? title=Lemniscate_of_Bernoulli&oldid=1048378469
[6] C. Maclennan, LIbertinus font. 2020. Accessed: Jan. 01, 2021. [Online]. Available: https://github.com/alerque/libertinus
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citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average visibility views 153 download downloads 74 citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average Powered byBIP!
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The Douglas triangle is a special right triangle using �� and ���3. It appears that its proportions and peculiarities impressed the Giza planners so much that they used it, when scaled by 50��, for the base lengths of the Khufu and Khafre pyramids. This paper presents the triangle and discusses some of its interesting features.
1.1.0 2 January 2022 : Added site diagrams with P5 cross having Douglas triangle and �� ratios.