GOLDEN ROOT GEOMETRY STRUCTURING THE POLYHEDRA AND OTHER FORMS VIA PLATO’S TRIANGLES
Corresponding author:
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Accepted
27 March 2026
Available Online
15 April 2015
Abstract
UNDER GOLDEN ROOT GEOMETRY STRUCTURING THE POLYHEDRA AND OTHER FORMS VIA PLATO’S TRIANGLES, WE REFER TO THE BASIC GEOMETRIC CONFIGURATIONS WHICH, AS THIS THEORY CONTEMPLATES, ARE NECESSARY FOR THE PROGRESSIVE MODE OF FORMATION OF THE FIVE POLYHEDRAL AND THE GEOMETRIES INVOLVED IN THEIR SECTIONS AND RELATED CIRCLES AND FURTHER TO LOGARITHMS, VIA LINES, AREAS AND VOLUMES. BASIS OF ALL THESE STRUCTURES IS A VERY SPECIAL SCALENE ORTHOGONAL TRIANGLE “PLATO’S MOST BEAUTIFUL” [F25], TOGETHER WITH HIS ORTHOGONAL ISOSCELES ONE. STRUCTURAL FORMS ARE IDENTIFIED BEARING IN COMMON THESE TRIANGULAR IDENTITIES. THE PARTICULAR ANGLE OF THE SCALENE ORTHOGONAL IS THAT WHOSE ARCTAN[Θ]=Τ AND T = SQR ((SQR.(5) + 1)/2)
Keywords
THE MOST BEAUTIFUL TRIANGLE
ORTHOGONAL SCALEN E TRIANGLE
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References
[1]
. Panagiotis Stefanides “The Most Beautiful Triangle” [Greek], Mathematical Society 2 -4 Mart 1989, National Research Institution of Greece, Athens. Conference “History and Philosophy of the Classical Greek Mathematics”.
[2]
. Paper Presentation and Proceedings Publication, “Golden Root Symmetries of Geometric Forms” The journal of the Symmetry: Culture and Science, Volume 17, Numbers 1 -2, 2006, pp 97 -111. Editor: Gyorgy Darvas. Conference: SYMMETRY FESTIVAL 2006, BUDAPEST HUNGARY. 1. Eur Ing Panagiotis Chr. Stefanides BSc(Eng) Lon(Hons) MSc(Eng)Ath TEE CEng MIET, Emeritus Honoured Member of the Technical Chamber of Greece 2. Born: 05. Jan..1945, Aegaleo, Athens. 3. Professional Academic Qualifications and Experience: 4.
[2002]
Chartered Engineer of the Engineering Council (UK), 5.
[2010]
IET[ IEE] Hellas Nerwork Honorary Secretary 6.
[1977]
Member of the Technical Chamber of Greece TEE, 7.
[1975]
Electrical and Mechanical Engineer NTUA 8.
[1974]
Electrical Engineer of the University of London . 9.
[1978]
-
[2010]
HAI, Including assignments such as R&D Electronic Systems, HAI -SNECMA,. M53P2 Aircraft Engine Nozzle Coproduction Manufacturing Programme. ADDENDUM Relationship of the Geometric Theory of the Proposed Plato’s “Most Beautiful Triangle” with the Specially Derived Spiral Logarithmic Curve Form the “ Spiralogarithm”. Logarithm Spiroid Definition November 2014 NAUTILUS LOG [ T ] BASE SHELL CURVE http://www.stefanides.gr/Html/logarithm.htm http://www.stefanides.gr/Html/Nautilus.htm © Copyright 1987-2014 Eur Ing Panagiotis Chr. Stefanides CEng.