INFORMATIVES AND PROPOSALS By Panagiotis Stefanides, FOR REVIEW AND/OR CORRECTIONS ON CURRENT TRANSLATIONS ON SECTIONS OF PLATO'S TIMAEUS
PANAGIOTIS STEFANIDES
CHARTERED ENGINEER [UK] at Eur Ing Panagiotis Ch. Stefanides CEng MIET
https://youtu.be/uh6WyoDYJLk
https://youtu.be/b_ixJxkCIWk
GENERATOR POLYHEDRON BY PANAGIOTIS STEFANIDES
Kept With:LIBRARY OF SCIENCES UNIVERSITY OF ATHENS
[ Library Exhbition , Department of Mathematics,]
?Φυλ?σσεται :
ΒΙΒΛΙΟΘΗΚΗ ΤΗΣ ΣΧΟΛΗΣ ΘΕΤΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΕΚΠΑ,
[στην ?κθεση Βιβλιοθ?κη?του Τμ?ματο? Μαθηματικ?ν ]
Related Generator Polyhedron links :?https://lnkd.in/d26yVjNR?-?https://lnkd.in/eSJ3e4n?-https://lnkd.in/es3FnFN?--?https://lnkd.in/efbjtHn?--?https://lnkd.in/eATuZfH?--?https://lnkd.in/eUXvmbr8?--?https://lnkd.in/dPjAUXt?-- --?https://lnkd.in/erQ-Fz9?-- --
11 AUG 2022 KINGS COLLEGE CAMBRIDGE :
16 th International Conference “Buiding on the Past to Prepare for the Future-?https://lnkd.in/d26yVjNR?-
PROCEEDINGS : "GENERATOR POLYHEDRON", ICOSAHEDRON NON-REGULAR, DISCOVERED INVENTION
Panagiotis Stefanides pp 512-517 --?https://lnkd.in/dbAJ2__T?--
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Cosmology [Extracts from?Panagiotis Stefanides Social Media discussions]- ?Based on Plato’s Geometry
?by Panagiotis Stefanides
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“Being [ ?ν ] , Place [ χ?ραν ] and Becoming [ γ?νεσιν]” - Pl.Ti 52D SPACE [ Χ?ρο?] QUINTESSENCE [ Plato’s Fifth Consistency – Ξ?στασι? -Pl.Ti 55C. ]
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FOUR ELEMENTS [ Traces of- i.e. Matter] in Disorder , Transformed by God via Ideas and Numbers Pl. Ti 53B.
Time [ Motion- eternal image, moving according to number, even that which we have named Time.... Pl. Ti 37-39 ]
Plato in his Timaeic Philosophy assumes existence of matter before creation in the form of traces of the “ four elements”, [and the existence of a fifth “ consistency”]:
With respect to world's creation, Plato states that, according to his thinking after having performed some assumptions, that three things exist before Heaven's coming into creation: Being, Place and Becoming.
According to Plato’s Timaeus, ….The conditions prevailed before the world was created, while all elements [FIRE, AIR, EARTH and WATER] were “WITHOUT PROPORTION” [alogos] and “WITHOUT MEASURE” [ametros], and only
“TRACES” of them existed, as all things, naturally exist in God’s absence.
God, under these conditions, transformed them via “IDEAS” and “NUMBERS”, for them to?become “MOST BEAUTIFUL” and “BEST” as possible, contrary to their previous state…..
According to Plato [Timaeus 37 -39] : ...
He planned to make a movable image of Eternity, He made an eternal image, moving according to number, even that which we have named Time.... ... ….Time, then, came into existence along with Heaven, to the end that having been generated together they might also be dissolved together... this reasoning and design...with a view to the generation of Time, the sun and moon....and the other stars,....”planets”, came into existence for the determining and preserving of the numbers of Time..... [Loeb].
In sections 53-54, of Plato’s "Timaeus", Plato speaks about the triangular shapes of the Four Elements [ traces existed in disorder –matter- before their harmonization by God], of their kinds and their combinations...?https://www.stefanides.gr
Link attached above is a book [of mine], based on international conference?proceedings.It??Bares work on a very special scalene orthogonal triangle[ quadrature triangle my interpretation of Plato's Timaeus "most Beautiful Triangle"] similar to ,but not the same as, the Kepler/Magirus triangle[ its qualities are for me of importance] It relates squares, circles, parallelogrammes...: Further Link :?https://lnkd.in/dsKbEr26?,
?shows images of interpreted logic of the geometries structuring the five Platonic solids from lines, triangle surfaces volumes .
? Copyright 1985- 2022, Eur Ing Panagiotis Chr. Stefanides CEng
https://www.dhirubhai.net/pulse/new-discovery-interpriting-platos-work-epinomis-981b-stefanides/ --https://www.researchgate.net/publication/327386909_PLATO'S_EPINOMIS_981b_INTERPRETATION_PROPOSAL_OF_THE_OTHER_GENTER_genor-genos --
NEW DISCOVERY, INTERPRITING PLATO’S WORK EPINOMIS 981b, By Panagiotis Stefanides
…the other GENOS….??Το δε ?λλο γ?νο?….
“τ? δ? ?λλο γ?νο? ?παν ?χει μορφ?ν μ?αν”?
PLATO’S?EPINOMIS 981b
INTERPRETATION PROPOSAL OF THE
?“OTHER GENOS” [γ?νο?- genus]
By Panagiotis Stefanides
…. THE FIVE SOLIDS and the OTHER GENOS…
ΕΠΙΝΟΜΙΣ ΠΛΑΤΩΝΟΣ 981 b
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…. On the most likely account there are to be reckoned five solid bodies, from which one might fashion things fairest and best; but all the rest of creation has a single shape, PLATOS EPINOMIS 981b…
The “GENERATOR POLYHEDRON OF PLATONIC_EUCLEIDEAN SOLIDS”
Proposed [By Panagiotis Stefanides]
Interpretation for γ?νο? [shape - form] the:
GENERATOR POLYHEDRON -By Panagiotis Stefanides:
………Στερε? δ? σ?ματα λ?γεσθαι χρ? κατ? τ?ν ε?κ?τα λ?γον π?ντε, ?ξ ?ν κ?λλιστα κα? ?ριστ? τι? ?ν πλ?ττοι, τ? δ? ?λλο γ?νο? ?παν ?χει μορφ?ν μ?αν· ………….
“τ? δ? ?λλο γ?νο? ?παν ?χει μορφ?ν μ?αν”?
…….Στερε? δ? σ?ματα λ?γεσθαι χρ? κατ? τ?ν ε?κ?τα λ?γον π?ντε, ?ξ ?ν κ?λλιστα κα? ?ριστ? τι? ?ν πλ?ττοι, τ? δ? ?λλο γ?νο? ?παν ?χει μορφ?ν μ?αν· ο? γ?ρ ?στιν ?σ?ματον ?τι τ' ?λλο γ?γνοιτ' ?ν κα? χρ?μα ο?δ?ν ο?δαμ?? ο?δ?ποτ' ?χον, πλ?ν τ? θει?τατον ?ντω? ψυχ?? γ?νο?……
Platon : Epinomis (texte grec)
Panagiotis Stefanides?https://www.stefanides.gr
ΓΙΑ ΤΟ ΓΕΝΟΣ ΑΥΤΟ ΠΡΟΤΕΙΝΕΤΑΙ H ΠΡΟΣΦΑΤΑ ΑΝΑΚΑΛΥΦΘΕΙΣΑ ΜΟΡΦΗ ΤΟΥ ΜΗ ΚΑΝΟΝΙΚΟΥ ΙΚΑΣΑΕΔΡΟΥ:
“GENERATOR POLYHEDRON OF PLATONIC-EUCLEIDEAN SOLIDS”
?[ RECENT DISCOVERED INVENTION STRUCTURE
By Panagiotis Stefanides:
?https://www.dhirubhai.net/pulse/generator-polyhedron-panagiotis-stefanides-finalist-2017-stefanides/?]
NON -REGULAR ICOSAHEDRON, GENERATOR POLYHEDRON, SOMATOIDES, SOUL OF THE WORLD AND MATTER. EPINOMIS, TIMAEUS PLATO. UNIFIED SOLIDS. By Panagiotis Stefanides
GENERATOR POLYHEDRON OF PLATONIC-EUCLEIDEAN SOLIDS By Panagiotis Stefanides
NEW DISCOVERY, INTERPRITING PLATO’S WORK EPINOMIS 981b, By Panagiotis Stefanides ---?https://lnkd.in/dMqGvCP5?--
PATTERNS OF STRUCTURED MATTER By Panagiotis Stefanides
' GEOMETRIC CONCEPTS IN PLATO, RELATED TO ART’’ by Panagiotis Stefanides
Trihedral Space Form, Foundation For Blocks Building Matter By Panagiotis Stefanides
"FUNDAMENTAL PENTAHEDRON" BUILT BY THREE GENERIC TETRAHEDRAL FORMS by Panagiotis Stefanides
SOMATOIDES - STEREOID MOST BEAUTIFUL BOND by Panagiotis Stefanides
?
Kept With:
LIBRARY OF SCIENCES UNIVERSITY OF ATHENS
[ Library Exhbition , Department of Mathematics,]
?Φυλ?σσεται :
ΒΙΒΛΙΟΘΗΚΗ ΤΗΣ ΣΧΟΛΗΣ ΘΕΤΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΕΚΠΑ,
[στην ?κθεση Βιβλιοθ?κη?του Τμ?ματο? Μαθηματικ?ν ]
Related Generator Polyhedron links :?https://lnkd.in/d26yVjNR?-?https://lnkd.in/eSJ3e4n?-https://lnkd.in/es3FnFN?--?https://lnkd.in/efbjtHn?--?https://lnkd.in/eATuZfH?--?https://lnkd.in/eUXvmbr8?--?https://lnkd.in/dPjAUXt?-- --?https://lnkd.in/erQ-Fz9?-- --
领英推荐
Η Β?ση τη? εργασ?α? στηρ?ζεται στο Πλατωνικ???“ Κ?λλιστο Τρ?γωνο ” του Τιμα?ου, ?πω? ?χει προταθε? η ερμηνε?α του απ? τον συγγραφ?α?Π.Χ.Στεφαν?δη ,?σε Εθνικ? και Διεθν? Συν?δρια , ω? ?να Αρμονικ? Ορθογ?νιο Τρ?γωνο, του οπο?ου η Μεγαλ?τερη Πλευρ? [Υποτε?νουσα] ε?ναι ο Κ?βο??τη??Οριζοντ?ου [ Μικρ?τερη?] Πλευρ?? και η [ Ενδι?μεση ] Κ?θετο? Πλευρ? ε?ναι το Τετρ?γωνο τη? Οριζοντ?ου?[ Μικρ?τερη?].?https://lnkd.in/dJjvKeTB
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The work presented [ Generator Polyhedron - recent, to date, discovered invention] resulted from elaborating on my work “ Treatise on Circle”* which concerns 3 Concentric Circles in Ratio to each other of 4/π ( or square root of the golden ratio), analyzing and comparing the results, for evident?conditions for found Symmetries or?Dissymmetries and consequently conditions for Harmony or Disharmony
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PROPOSAL [ by Panagiotis Stefanides]?OF
A MODEL ILLUSTRATIVE INTERPRETATION OF THE
PLATONIC TIMAEUS 53C
?“ …?ALL SOLIDS’ FORMS HAVE DEPTH WHICH INVOLVES THE PLANAR PHYSIS , WHEREAS THE PERPENDICULAR?TO THE [ SOLID’S] BASE IS FORMED BY TRIANGLES…”
?[ “ … ALL TRIANGLES DERIVE FROM 2 TRIANGLES?“
REF [under]:?www.stefanides.gr??,??https://lnkd.in/exTkkGSc?]
P.S. Existence of Matter of solids justified by PLATO’S?TIMAEUS : “TRACES OF THE ELEMENTS IN DISORDER” Pl.Ti 53B [?χνη μεν αυτ?ν]
???Copyright, Eur Ing Panagiotis Chr. Stefanides?BSc(Eng)Lon(Hons)??MSc(Eng)NTUA TEE CEng?MIET
?ALL TRIANGLES DERIVE FROM TWOTRIANGLES [PLATO’S TIMAEUS
ORTHOGONAL SCALENE [MOST BEAUTIFUL TRIANGLE:
(√φ) equal to 1.27201965?, φ = 51.82729237.deg [PROPOSED]
AND?ORTHOGONAL ISOSCELES:
ANGLES: 30DegG/60 Deg.
REF;?https://lnkd.in/eNhnjjE?--
https://lnkd.in/eVNe-RZ?--?https://lnkd.in/eanpGGX4?---?https://lnkd.in/ej8-etaT?--?https://lnkd.in/dAQUjvv?--?https://lnkd.in/d26yVjNR?--
ALL TRIANGLES DERIVE FROM TWOTRIANGLES [PLATO’S TIMAEUS
ORTHOGONAL SCALENE [MOST BEAUTIFUL TRIANGLE:
(√φ) equal to 1.27201965?, φ = 51.82729237.deg [PROPOSED]
AND?ORTHOGONAL ISOSCELES:
ANGLES: 30DegG/60 Deg.
REF;?https://lnkd.in/eNhnjjE?--
https://lnkd.in/dnFtjnds?--?https://lnkd.in/e6ahQ85?--https://lnkd.in/e6veyTm?--?https://lnkd.in/eQRJip9?-- -?https://lnkd.in/ez7jf2N?--
SYMMETRIES OF THE PLATONIC TRIANGLES 2008 TEE [ Technical Chamber of Greece] - IET Hellas Network - https://lnkd.in/gsE7CXGi?
- https://lnkd.in/d6df_zUg - https://lnkd.in/dypc74J7 - https://lnkd.in/e6ahQ85
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SYMMETRIES OF THE PLATONIC TRIANGLES 2008 TEE [ Technical Chamber of Greece] - IET Hellas Network - https://lnkd.in/gsE7CXGi?
- https://lnkd.in/d6df_zUg - https://lnkd.in/dypc74J7 - https://lnkd.in/e6ahQ85
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Static , Vibrating Field in Space by Panagiotis Stefanides .
Author’s Anticipation:
In a?Static, but Vibrating Field [ Aether Electromagnetic Medium], conductive [ massive] elemental lines with alternating bipolar charges moving in it by the action of the field , should result into alternating currents running within them. Two such lines could be contacted electrically at the ends of each line, via their + and - charges, and similarly three lines [ in the correct lengths] could form triangles [ orthogonal according to my theory], and in such forming a surface. Similarly by joining two pairs of such triangular forms [elecromagnetically attracted by the currents running within them] could create materialistic volumes[ tetrahedra].Continuing, by these similar actions of electromagnetic forces, the joining of these materialistic volumes[tetrahedra] could result into further building blocks of matter. According to my geometric theory [ pure classical geometry, based on the Square Root of the Golden Section ] such materialistic volumes [ tetrahedra ] build a Great Pyramid Model via which the structure of the world of the?Platonic [ or Eucleidian] solids are formed. Ref:
??---?https://lnkd.in/dAhMpVs8
?--?--https://lnkd.in/din9bMGg
---??https://lnkd.in/d-if7W84?--?https://lnkd.in/dCsTj_sB?--
??Copyright, Eur Ing Panagiotis Chr.Stefanides?BSc(Eng)Lon(Hons)
??MSc(Eng)NTUA TEE CEng?MIET
?
AUTHOR’S?[ P. Stefanides]?ANTICIPATION :
?
Static , Vibrating Field in Space by Panagiotis Stefanides .
Author’s Anticipation:
In a?Static, but Vibrating Field [ Aether Electromagnetic Medium], conductive [ massive] elemental lines with alternating bipolar charges moving in it by the action of the field , should result into alternating currents running within them. Two such lines could be contacted electrically at the ends of each line, via their + and - charges, and similarly three lines [ in the correct lengths] could form triangles [ orthogonal according to my theory], and in such forming a surface. Similarly by joining two pairs of such triangular forms [elecromagnetically attracted by the currents running within them] could create materialistic volumes[ tetrahedra].Continuing, by these similar actions of electromagnetic forces, the joining of these materialistic volumes[tetrahedra] could result into further building blocks of matter. According to my geometric theory [ pure classical geometry, based on the Square Root of the Golden Section ] such materialistic volumes [ tetrahedra ] build a Great Pyramid Model via which the structure of the world of the?Platonic [ or Eucleidian] solids are formed. Ref:
??---?https://lnkd.in/dAhMpVs8
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??-???https://lnkd.in/dbVm2uh6
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-?????https://lnkd.in/db2MW5_8
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??Copyright, Eur Ing Panagiotis Chr.Stefanides?BSc(Eng)Lon(Hons)
??MSc(Eng)NTUA TEE CEng?MIET
?ADDENDUM [ HERODOTE PYRAMID
??https://www.dhirubhai.net/.../%CF%84%E1%BF%87-%CE%B4%E1.
…..τ? δ? xn--...-fxcjt9av8ak7b.xn--4xab426s ?στ? … μ?τωπον …?κτ?. πλ?θρα …τετραγ?νου κα? ?ψο? ?σον [ Ηρ?δοτο? Ευτ?ρπη 124] - Προτεον?μενη Ερμηνε?α Π.Χ.Στεφαν?δη Face [ 8 plethra] Area is equal [ not Pyramid’s].
EQUAL = ?σον [ this is Neutral form as it is the xn--ixa3aehex9a.Pyramid is a feminine form . Translated Statement is not grammatically correct . It had to be ?σην not ?σον.
Proposed Interpretation:Προτειν?μενη ερμηνε?α :
…κ?θε ?να απ? τα μ?τωπα [ τη? πυραμ?δο?] ε?ναι 8 πλ?θρα
[σε επιφ?νεια] και ?σο με το τετρ?γωνο του ?ψου? [τη?]…
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? PCST SYMMETRY
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??Copyright, Eur Ing Panagiotis Chr. Stefanides?BSc(Eng)Lon(Hons) ??MSc(Eng)NTUA TEE CEng?MIET
CHARTERED ENGINEER [UK] at Eur Ing Panagiotis Ch. Stefanides CEng MIET
2 年ΙΟΑΝ thank you.