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The Pythagorean Geometry of the Atreus Tomb at Mycenae Table 1. Triads related to the nine Tholoi From left: Symbol, Integers, proportion r = B/A MARCELLO RANIERI Fig. 1. Rectangular Parameters for a geometrical classification of Mycenaean Tholos Tombs. Table 2. The resulting association of the Geometrical Parameters with Squaring Triads 212 Fig. 2. The tholoi as classified using the CH “Chamber” geometrical parameter.
ARCHAEOLOGIA BALTICA 10 Fig. 3. The Pythagorean geometry of the Treasury of Atreus. mian cubits: the Assyrian cubit of 0.494 m; the Sumerian cubit of 0.500 m; and the Gudea of Lagash statue cubit of 0.496 m. Conclusions It appears that Mycenaean architects made use of both Perfect (Pythagorean) and Quasi-Perfect combinations of integers. The Treasury of Atreus stands out by having all the major geometric proportions identifiable with those of the series of Pythagorean Triads reported by Diophantus and known to the Mesopotamians. The length-unit for the Atreus Tholos Tomb coincides with the Lagash Gudea cubit of 0.496 m. References NEUGEBAUER, O., 1957. The Exact Sciences in Antiquity. Providence, Rhode Island: Brown University Press. MALGORA, S., 2000. L’uso dei numeri e la Ritualizzazione nelle Strutture Cerimoniali nella Topografia Monumentale di Saqqara. Thesis. Bologna: Bologna University. PATANÈ, A., 2006, Indagine Archeoastronomica sulla Basilica Sotterranea di Porta Maggiore in Roma. Thesis. Roma: “La Sapienza” University. PELON, O., 1976. Tholoi, Tumuli et Cercles Funéraires. Athens: Échole Française D’athénes. RANIERI, M., 1997. Triads of Integers: How Space Was Squared in Ancient Times. Journal of Ancient Topography - Rivista di Topografia Antica - JAT, VII, 209-244. RANIERI, M., 2002. Geometry at Stonehenge. Archaeoastronomy: The Journal of Astronomy in Culture, XVII, 81-93. RANIERI, M., 2005. La Geometria del Tempio Urbano di Marzabotto (Regio I–Ins.5). In: Culti, Forma Urbana e Artigianato a Marzabotto. Nuove Prospettive di Ricerca. Bologna: Dipartimento di Archeologia Università di Bologna N°11, 73-87. RANIERI, M., 2006. Contenuti geometrici, numerici, metrici e astronomici del tempio nuragico a pozzo “Su Tempiesu” di Orune. Proc. 6° Convegno Annuale Società Italiana di Archeoastronomia. Campobasso, Italy. RANIERI, M., 2007. The Stone Circles of Li Muri: geometry, alignments and numbers In: M.P. Zedda, J.A. Belmonte, eds. Lights and Shadows in Cultural Astronomy. Isili, Sardinia: Asssociazione Archeofilia Sarda, 58-67. Received: 2 November 2007; Revised: 28 February 2008 ATRĖJO TOLAS MIKĖNUOSE IR PITAGORIEČIŲ GEOMETRIJA Marcello Ranieri Santrauka Naudojant kompiuterinę automatizuoto projektavimo sistemą CAD (Computer Aided Design) buvo atlikta devynių laidojimo rūsių – tolų ir atskirai kapavietės, vadinamos „Atrėjo lobynu“, geometrinė analizė. Siekiant klasifikuoti tyrinėjamas kapavietes, buvo išskirti bendri geometriniai tyrinėjamų laidojimo rūsių parametrai. Analizės pagrindas buvo geometrinių laidojimo rūsių proporcijų lyginimas pagal kompiuterine analize sudarytus planus su Pitagoro skaičių trejetais. Atrodo, kad Mikėnų architektai statiems kampams nustatyti naudojo tiek tikslius Pitagoro skaičių trejetus, tiek jų V V. REFLECTIONS OF ASTRO- NOMICAL AND COSMOLOGICAL KNOWLEDGE IN MONUMENTS, LANDSCAPES AND ARCHITECTURE 213
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ARCHAEOLOGIA BALTICA10 Astronomy an
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UDK 902/904 Ar 46 Volume 10 Editori
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Vytautas Tumėnas. The visual and t
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PREFACE Jonas VaiškūnaS Preface T
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Jonas VaiškūnaS Preface cists, ma
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LIST OF CONTRIBUTORS List of Contri
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List of Contributors Dimitar Kolev
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List of Contributors 16 Dainius Raz
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Second Parts can always be better!
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Conference Summary: A Historian’s
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THE MILKY WAY AND ITS STRUCTURING F
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THE MILKY WAY AND ITS STRUCTURING F
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CECILIA PAULA GÓMEZ Venus And The
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CECILIA PAULA GÓMEZ Venus And The
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Astronyms in Belarussian Folk Belie
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Traditional Astronomical Knowledge
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Traditional Astronomical Knowledge
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A Solar Calendar from Latvian Daina
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A Solar Calendar from Latvian Daina
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SAULĖS KALENDORIUS PAGAL LATVIŲ D
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Mesopotamian Influences on Persian
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THE BIRTHDAY OF ASAKKU ARKADIUSZ SO
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ARKADIUSZ SOŁTYSIAK The Birthday o
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ARKADIUSZ SOŁTYSIAK The Birthday o
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NOEMI MIRANDA, JUAN A. BELMONTE, MI
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NOEMI MIRANDA, JUAN A. BELMONTE, MI
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Tracing the Celestial Deer - an Anc
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Tracing the Celestial Deer - an Anc
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Calendrical Deer, Time-Reckoning an
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The Mythological Moon Horse as Refl
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The Visual and the Mythical- Poetic
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VYTAUTAS TUMĖNAS The Visual and th
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Some Peripheral Forms of the Medite
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JONAS VAIŠKŪNAS Some Peripheral F
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Were the 185 A.D. and 369 A.D. “G
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Indigenous Astronomical Traditions
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A new attempt to date the Xia, Shan
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GÖRAN HENRIKSSON A new attempt to
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Eleventh-Century Supernovae: Anothe
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Eleventh-Century Supernovae: Anothe
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The Date of Purim and Calendars in
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L’abbé Jean Lebeuf, (1687- 1760)
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Orientations at the Minoan Peak San
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GREGORY E. MUNSON, BRYAN C. BATES,
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Reading, Writing, and Recording the
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Reading, Writing, and Recording the
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David W. Pankenier, Ciyuan Y. Liu,
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The Xiangfen, Taosi site: a Chinese
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On the Origin of the Roman Idea of
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GIULIO MAGLI On the Origin of the R
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On the Origin of the Roman Idea of
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The Nuraghic Well of Santa Cristina
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ARNOLD LEBEUF The Nuraghic Well of
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The Nuraghic Well of Santa Cristina
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Page 164 and 165: ANDREI PROKHOROV Images on the Ston
Page 166 and 167: Images on the Stones at Scebiaraky
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Page 170 and 171: Thracian Dolmens and their Orientat
Page 172 and 173: Antonio César González García, V
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Page 176 and 177: JOHN MCKIM MALVILLE, MICHAEL ZAWASK
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Page 180 and 181: Cosmological Motifs of Peruvian Hua
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Page 184 and 185: MARCELLO RANIERI A Geometrical Anal
Page 194 and 195: A Geometrical Analysis of Mesoameri
Page 196 and 197: LUCILLA LABIANCA, IDA SCIORTINO, SI
Page 198 and 199: An Archaeoastronomical Study of the
Page 200 and 201: Some Cosmological Aspects оf Catho
Page 204 and 205: RIMVYDAS LAUŽIKAS Some Cosmologica
Page 208 and 209: Fig. 1. Distribution of the graves
Page 210 and 211: Basatanya revisited: two periods of
Page 214 and 215: The Pythagorean Geometry of the Atr
Page 216 and 217: Measurement Systems for Mathematics
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Page 220 and 221: Integrating Archaeoastronomy with L
Page 222 and 223: LIONEL SIMS Integrating Archaeoastr
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Page 228 and 229: Juan Antonio Belmonte, Antonio Cés
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Page 234 and 235: The Orientations of Central Alentej
Page 242 and 243: Cardinal and Lunisolar Alignments a
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Page 246 and 247: Searching for the Astronomy of Abor
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Page 258 and 259: THE CASE STUDY OF THE BOORONG The C
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The Case Study of the Boorong JOHN
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Nationalism and Politics in the Rec
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Nationalism and Politics in the Rec
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Cosmic Catastrophes and Cultural Di
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In Memoriam Izold’s interests wer
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Klaipėdos universiteto leidykla AR
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Plates 2 6 1 3 Plate II. Antonio C
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Plates 12 11 10 9 8 7 Plate IV. IV
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Plates 1 11 Plate VI. VI Antonio C
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Plates 2 3 Plate VIII. VIII Lucilla
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