Paper 3. Pyramidology M. J. Cooper Version 2.0 (October 21, 2019)
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Die Harmonischen Abmessungen Aller Pyramidions Sind Jetzt Gefunden
Friedrich Wilhelm Korff (Philosophisches Seminar der Universität Hannover) Die harmonischen Abmessungen aller Pyramidions sind jetzt gefunden! Ein Erlebnisbericht für Rainer Stadelmann, Jan Assmann und seine Heidelberger Studenten der Ägyptologie 7. - 18. 12. 2010 Seit ich aus Ägypten zurück bin und mich in die Kälte hier ( - 13°) kaum eingewöhnt habe, möchte ich Ihnen zu Beginn des Advents erzählen, wie es mir in Kairo am 29. 10. 2010 ergangen ist. Bevor ich noch den Museumsbesuch wagte, spürte ich doch die Stunde der Wahrheit gekommen, da ich erfahren würde, ob meine schon veröffentlichte Behauptung zuträfe, die Basis des PYRAMIDION AMENEMHET III. (Dahshur) sei nicht 1,87 m, wie mein Rezensent Frank Müller - Römer aus der Literatur behauptete, sondern ich hielt dagegen, sie müsse 1,875 m lang sein, eben weil die Länge 11x17 = 187 cm unmöglich aus dem ägyptischen Meß- und Maßsystem abzuleiten ist. Dieses System wie auch das der bei Ptolemaios überlieferten Tonarten, deren Intervalle die Neigungen der Pyramiden hervorbringen, sieht doch nur Kombinationen aus den ersten fünf Primzahlen (1,2,3,5,7) vor. Und das ist bei 187,5 4 cm (3 x 5 /(2 x 5) = 187,5 cm der Fall. Die empirische Messung (1,87 m) aus den achtziger Jahren des 19. Jh. war ungenau. Wie tatsächlich in der Literatur angegeben, konnten es nur 3 4/7 Ellen oder (3 4/7) x 7 = 25 ganzzahlige Handbreit sein, und 3 4/7 Ellen x 0,525 m, errechnet mit dem Metermaß der Königselle, sind 1,875 m. Nur die Hälfte (12 Vi H) der Basislänge, mit dem Rücksprung (10/7) multipliziert, keine andere Länge ergab die Höhe von (12 Vi) x 10/7 =17 6/7 Handbreit, die den Rücksprung(17 6/7)/(12 Vi) = 10/7 bestätigte. -
PYRAMIDS and ZIGGURATS AS the ARCHITECTONIC REPRESENTATIONS of the ARCHETYPE of the COSMIC MOUNTAIN. Part I
I Andrzej WIERCINSKI, Warszawa PYRAMIDS AND ZIGGURATS AS THE ARCHITECTONIC REPRESENTATIONS OF THE ARCHETYPE OF THE COSMIC MOUNTAIN. Part I "Is there a man of you who by anxious thought can add a cubit to the age of his life? "(The Gospel of St. Matthew, 6, 27, according to Greek text) 1. Explanation of the problem The astrobiological religion played the role of a main ideological system which regulated societies of the formative-theocratic phase of cultural development of mankind which was distinguished by the rise of cultic centers of the monumental architecture. The latter ones were the cores of early urbanisation process. This religion has precised a model of the world with well defined position of man within it, and the sense of his activities. Its essence consisted of a dynamical and informational principle of transformation of an Absolute One into pairs of polarised opposites which, in turn, create an universal frame of reference of Cardinal Points organizing the time-spatial order of rhythmically repeating and mutually synchron ised cosmic, biological and socio-cultural processes and, at last, the psychic processes of the human individual. All these was vivified, personificated and deified ( for the main assumtions of the model see: A. Wiercinski, 19761 ). The astrobiological model of the world and man was statically patterned in mutually equivalent, due to a symbolical analogisation, archetypical (in Jungian sense) and iconic-numerical representations. Among them, the main position has been occupied by: the Cosmic Mountain, the Cosmic Tree � Cosmic Ladder � Cosmic Pillar, the Mandala, the Cosmic Man� man as Microcosmos and, © Del documento, los autores. -
6 King's Chamber
Revelation Research Foundation, Inc. Hamburg, NJ 07419, USA © 2015 Contents Author’s and Editor’s Notes . v Photo/Illustration Acknowledgments . vi Pyramid Chart . vii Chapter 1: God’s Stone Witness in Egypt . 1 Chapter 2: Chart of Interior Chambers and Passage System . 13 Chapter 3: The Entrance . 19 Chapter 4: Well Shaft and Grotto . 21 Chapter 5: Grand Gallery and Antechamber . 29 Chapter 6: King’s Chamber . 39 Chapter 7: Construction Chambers . 47 Chapter 8: Horizontal Passage and Queen’s Chamber . 53 Chapter 9: The Top Stone . 59 Chapter 10: Chronology of the Passage System . 63 Chapter 11: Three Pyramids of the Gizeh Plateau . 71 Chapter 12: The Sphinx . 75 Chapter 13: Ararat . 77 Chapter 14: Great Pyramid and Mount Ararat . 81 Song of Praise . 87 Appendix A: The Garden Tomb . 89 Appendix B: Queen Hatshepsut and Her Mortuary Temple . 93 Appendix C: The Solar Boat . 97 Appendix D: Location of Noah’s Ark . 101 Appendix E: Great Seal of the United States . 103 Appendix F: Pharaoh of the Exodus . 109 iii Appendix G: Twelfth Dynasty of Manetho . 115 Appendix H: The Abydos Tablets . 119 Appendix I: Planes of Perfection . 123 Appendix J: Granite Fragments in Great Pyramid . 125 Appendix K: Excavation at Top of Well Shaft . 127 Addendum: Origin of the Pyramid . 129 iv AUTHOR’S NOTE When properly understood, the title and subject matter of this work, A Rock of the Ages: The Great Pyramid, do no injustice to the theme of that grand old hymn “Rock of Ages,” for the Great Pyramid of Egypt clearly accentuates the centricity of Christ in abolishing death and bringing to light the two salvations—life and immortality (2 Tim. -
Ams / Maa Spectrum Vol 19
AMS / MAA SPECTRUM VOL 19 UNDERWOOD DUDLEY Numerology or What Pythagoras Wrought Originally published by The Mathematical Association of America, 1997. ISBN: 978-1-4704-5283-4 LCCN: 97-74345 Copyright © 1997, held by the American Mathematical Society Printed in the United States of America. Reprinted by the American Mathematical Society, 2019 The American Mathematical Society retains all rights except those granted to the United States Government. ⃝1 The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at https://www.ams.org/ 10 9 8 7 6 5 4 3 2 24 23 22 21 20 19 10.1090/spec/019 AMS/MAA SPECTRUM VOL 19 Numerology or What Pythagoras Wrought Underwood Dudley SPECTRUM SERIES Published by THE MATHEMATICAL ASSOCIATION OF AMERICA Committee on Publications JAMES W. DANIEL, Chair Spectrum Editorial Board ARTHUR T. BENJAMIN, Editor DANIEL ASIMOV KATHLEEN BERVER DIPA CHOUDHURY RICHARD K. GUY JEFFREY NUNEMACHER ELLEN MAYCOCK PARKER JENNIFER J. QUINN EDWARD R. SCHEINERMAN SANFORD SEGAL SPECTRUM SERIES The Spectrum Series of the Mathematical Association of America was so named to reflect its purpose: to publish a broad range of books including biographies, accessible expositions of old or new mathematical ideas, reprints and revisions of excellent out-of- print books, popular works, and other monographs of high interest that will appeal to a broad range of readers, including students and teachers of mathematics, mathematical amateurs, and researchers. All the Math That’s Fit to Print, by Keith Devlin Circles: A Mathematical View, by Dan Pedoe Complex Numbers and Geometry, by Liang-shin Hahn Cryptology, by Albrecht Beutelspacher Five Hundred Mathematical Challenges, Edward J. -
Specular Reflection from the Great Pyramid at Giza
Specular Reflection from the Great Pyramid at Giza Donald E. Jennings Goddard Space Flight Center, Greenbelt, Maryland, USA (retired) email: [email protected] Posted to arXiv: physics.hist-ph April 6, 2021 Abstract The pyramids of ancient Egypt are said to have shone brilliantly in the sun. Surfaces of polished limestone would not only have reflected diffusely in all directions, but would also likely have produced specular reflections in particular directions. Reflections toward points on the horizon would have been visible from large distances. On a particular day and time when the sun was properly situated, an observer stationed at a distant site would have seen a momentary flash as the sun’s reflection moved across the face of the pyramid. The positions of the sun that are reflected to the horizon are confined to narrow arcs in the sky, one arc for each side of the pyramid. We model specular reflections from the pyramid of Khufu and derive the annual dates and times when they would have been visible at important ancient sites. Certain of these events might have coincided with significant dates on the Egyptian calendar, as well as with solar equinoxes, solstices and cross-quarter days. The celebration of Wepet-Renpet, which at the time of the pyramid’s construction occurred near the spring cross-quarter day, would have been marked by a specular sweep of sites on the southern horizon. On the autumn and winter cross-quarter days reflections would have been directed to Heliopolis. We suggest that on those days the pyramidion of Khafre might have been visible in specular reflection over the truncated top of Khufu’s pyramid. -
Das Pyramidion Der Pyramide G III-A. Bemerkungen Zu Den
STUDIA AEGYPTIACA XIV INTELLECTUAL HERITAGE OF EGYPT STUDIES PRESENTED TO LAszL6 KAKOSY BYFRIENDS AND COLLEAGUES ON THE OCCASION OFHIS 60TH BIRTHDAY BUDAPEST 1992 301 DAS PYRAMIDION DER PYRAMIDE G III-a Bemerkungen zu den Pyramidenspitzen des Alten Reiches* (PIs. XIX.A- XX.A) Peter Janosi,,Wien Verglichen mit dem Materialbefund des Mittleren Reiches ist die Anzahl der erhaltenen Pyramidenspitzen des Alten Reiches wesentlich geringer, Vor einigen Jahren wurde das Kalksteinpyramidion der Roten Pyramide gefunden. Es ist das älteste und auch bisher einzige erhaltene Exemplar von einer Königspyramide des Alten Reiches.' Neben dem archäologischen Befund geben noch drei Inscbriften2 über Pyramidenspitzen dieser Zeit Auskunft. Bei vier Pyramiden lassen sich die Pyramidenspitzen aufgrund der erhaltenen, darunterliegenden Verkleidungsblöcke rekonstruieren (s.u.). Ungeachtet dieses recht dürftigen Befundes ist davon auszugehen, daß alle vollendeten Pyramiden Spitzen aus Kalkstein oder Hartgestein (?) besaßen. Das Pyramidion von G III-a Wahrend der Beschäftigung mit der Architektur der Nebenpyramiden konnte in Giza ein weiteres Pyramidion des Alten Reiches "entdeckt" werden. Es stammt von der Pyramide G III-a, der östlichsten der drei Nebenpyramiden südlich der Mykerinospyramide.3 Wann dieses Pyramidion gefunden wurde, ist nicht sicher festzustellen. Es wurde'vermutlich 1972, als man nach Bootsgruben an der Südseite dieser Pyramide suchte, entdeckt.4 Das Pyramidion liegt einige Meter südlich der Pyramide G III-a und besteht aus Kalkstein (PI. XIX. A). Sowohl seine Position als auch die Tatsache, daß die unmittelbar westlich • Das vie'lfältige Interesse Laszl6 Kakosys galt des öfteren den Pyramiden des Alten Reiches. Neben seiner oftmaligen Auseinandersetzung mi t den Pyramidentexten siehe: "Pyramids as Divinities",AnnalesUniversitatis Scientiarium Budapestinensis de Rolando Eötvös Nominatae, Sectio C1assica, Thmus IX-X, Budapest 1982 1985,63-77 und"The Plundering ofthe Pyramid ofCheops",SAK 16 (1989) 145-169. -
Bulletin De L'institut Français D'archéologie Orientale
MINISTÈRE DE L'ÉDUCATION NATIONALE, DE L'ENSEIGNEMENT SUPÉRIEUR ET DE LA RECHERCHE BULLETIN DE L’INSTITUT FRANÇAIS D’ARCHÉOLOGIE ORIENTALE en ligne en ligne en ligne en ligne en ligne en ligne en ligne en ligne en ligne en ligne BIFAO 114 (2014), p. 455-518 Nico Staring The Tomb of Ptahmose, Mayor of Memphis Analysis of an Early 19 th Dynasty Funerary Monument at Saqqara Conditions d’utilisation L’utilisation du contenu de ce site est limitée à un usage personnel et non commercial. Toute autre utilisation du site et de son contenu est soumise à une autorisation préalable de l’éditeur (contact AT ifao.egnet.net). Le copyright est conservé par l’éditeur (Ifao). Conditions of Use You may use content in this website only for your personal, noncommercial use. Any further use of this website and its content is forbidden, unless you have obtained prior permission from the publisher (contact AT ifao.egnet.net). The copyright is retained by the publisher (Ifao). Dernières publications 9782724708288 BIFAO 121 9782724708424 Bulletin archéologique des Écoles françaises à l'étranger (BAEFE) 9782724707878 Questionner le sphinx Philippe Collombert (éd.), Laurent Coulon (éd.), Ivan Guermeur (éd.), Christophe Thiers (éd.) 9782724708295 Bulletin de liaison de la céramique égyptienne 30 Sylvie Marchand (éd.) 9782724708356 Dendara. La Porte d'Horus Sylvie Cauville 9782724707953 Dendara. La Porte d’Horus Sylvie Cauville 9782724708394 Dendara. La Porte d'Hathor Sylvie Cauville 9782724708011 MIDEO 36 Emmanuel Pisani (éd.), Dennis Halft (éd.) © Institut français d’archéologie orientale - Le Caire Powered by TCPDF (www.tcpdf.org) 1 / 1 The Tomb of Ptahmose, Mayor of Memphis Analysis of an Early 19 th Dynasty Funerary Monument at Saqqara nico staring* Introduction In 2005 the Metropolitan Museum of Art, New York, acquired a photograph taken by French Egyptologist Théodule Devéria (fig. -
Architecture and Mathematics in Ancient Egypt
ARCHITECTURE AND MATHEMATICS IN ANCIENT EGYPT In this fascinating new study, architect and Egyptologist Corinna Rossi analyses the relationship between mathematics and architecture in ancient Egypt by explor- ing the use of numbers and geometrical figures in ancient architectural projects and buildings. While previous architectural studies have searched for abstract ‘universal rules’ to explain the history of Egyptian architecture, Rossi attempts to reconcile the different approaches of archaeologists, architects and historians of mathematics into a single coherent picture. Using a study of a specific group of monuments, the pyramids, and placing them in the context of their cultural and historical back- ground, Rossi argues that theory and practice of construction must be considered as a continuum, not as two separated fields, in order to allow the original plan- ning process of a building to re-emerge. Highly illustrated with plans, diagrams and figures, this book is essential reading for all scholars of ancient Egypt and the architecture of ancient cultures. Dr Corinna Rossi is a Junior Research Fellow in Egyptology at Churchill College, Cambridge. ARCHITECTURE AND MATHEMATICS IN ANCIENT EGYPT CORINNA ROSSI cambridge university press Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, Sa~o Paulo Cambridge University Press The Edinburgh Building, Cambridge, CB2 8RU, UK Published in the United States of America by Cambridge University Press, New York www.cambridge.org Information on this title: www.cambridge.org/9780521690539 C Corinna Rossi 2003 This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. -
THE TREASURES of the PYRAMIDS Contents
EDITED BY ZAHI HAWASS Secretary General of the Supreme Council of Antiquities and Director of the Giza Pyramids Excavations PROJECT EDITORS Laura Accomazzo Valeria Manferto De Fabianis GRAPHIC DESICN Paola Piacco WHITE STAR PUBLISHERS THE TREASURES OF THE PYRAMIDS Contents INTRODUCTION Page 5 CHAPTER 8 by H.E. Mrs. Suzanne Mubarak THE ROYAL MORTUARY ENCLOSURES OF ABYDOS AND HIERAKONPOLIS by Matthew Adams and David O'Connor Page 78 THE PYRAMIDS Page 12 by Zahi Hawass CHAPTER 9 THE STEP PYRAMIDS CHRONOLOGY Page is by Ali Radwan Page 86 CHAPTER I CHAPTER 10 WHY A PYRAMID? PYRAMID RELIGION THE PYRAMIDS OF THE FOURTH DYNASTY by James P. Allen Page 22 by Rainer Stadelmann Page 112 CHAPTER 2 CHAPTER \ \ THE QUEENS' PYRAMIDS OF THE FOURTH DYNASTY AT GIZA THE ADMINISTRATION OF THE PYRAMID by Zahi Hawass Page 138 by Vassil Dobrev Page 28 CHAPTER 12 CHAPTER 3 THE SATELLITE PYRAMID OF KHUFU BUILDING AN OLD KINGDOM PYRAMID by Zahi Hawass Page 150 by Mark Lehner Page 32 CHAPTER 13 CHAPTER A THE MYSTERY OF HETEPHERES THE ARCHITECTURAL DEVELOPMENT OF THE EGYPTIAN ROYAL TOMB by Zahi Hawass Page 152 by Zahi Hawass Page 46 CHAPTER 14 CHAPTER 5 THE SECRET DOORS INSIDE THE GREAT PYRAMID by Zahi Hawass Page 156 THE ARCHITECTURAL COMPONENTS OF THE PYRAMID COMPLEX by Zahi Hawass Page 50 CHAPTER 15 THE PYRAMIDION CHAPTER e by Zahi Hawass Page 160 THE PREDYNASTIC PERIOD CHAPTER \6 by Renee Friedman Page 54 THE ROYAL BOATS AT GIZA by Zahi Hawass Page 164 CHAPTER I THE TOMBS OF THE FIRST AND SECOND DYNASTIES CHAPTER a AT ABYDOS AND SAQOARA THE SPHINX by Giinter Dreyer Page 62 by Mark Lehner Page 172 10 CHAPTER IS The Publisher would like to thank: H.E. -
Hawass, Zahi. “Pyramid Construction. New Evidence Discovered at Giza.”
STATIONEN Beitrage zur Kulturgeschichte Agyptens RAINER STADELMANN GEWIDMET Herausgegeben von Heike Guksch und Daniel Polz VERLAG PHILIPP VON ZABERN . GEGRUNDET 1785 . MAINZ XVll, 497 Seiten mit 151 Abbildungen, 28 Schwarzwei15tafeln und 3 Beilagen (in Tasche) Diese Festschrift ist ein Geschenk der Franz und Eva Rutzen Stiftung und des Verlags Philipp von Zabem an einen alten Freund des Hauses Die Deutsche Bibliothek - CIP-Einheitsaujnahme Stationen: Beitrage zur Kulturgeschichte Agyptens; Rainer Stadelmann gewidmet / hrsg. von Heike Guksch und Daniel Polz. - Mainz: von Zabern, 1998 ISBN 3-8053-2526-6 Die Druckvorlage fur diesen Band wurde von den Herausgebern auf eigenen Rechnern sowie auf Rechnern des Department of Near Eastern Languages and Cultures (UCLA) linter Verwendung der Software-Programme Microsoft Word fur Macintosh (v. 5.1 und 6), Word for Windows 97 und Adobe Photoshop (v. 4.0) hergestellt. © 1998 by Verlag Philipp von Zabern, Mainz am Rhein ISBN 3-8053-2526-6 Alle Rechte, insbesondere das der Ubersetzung in fremde Sprachen, vorbehalten. Ohne ausdriickliche Genehmigung des Verlages ist es auch nicht gestattet, dieses Buch oder Teile daraus auf photomechanischem Wege (Photokopie, Mikrokopie) zu vervielfaltigen. Printed in Germany by Philipp von Zabern Pr~ted on fade resistant and archival quality paper (PH 7 neutral) . tcf Inhaltsverzeichnis Tafel Seite Anmerkung der Redaktion IX Vorwort XI Rainer Stadelmann· Verzeichnis seiner Schriften XIII Vorgeschichte, Friihzeit und Altes Reich NICOLE ALEXANlAN Ritualrelikte an Mastabagrabern des Alten Reiches 3 JOSEF DORNER Neue Messungen an der Roten Pyramide 23 GONTER DREYER Der erste Konig der 3. Dynastie 1 31 DINA FALTINGS Ergebnisse der neuen Ausgrabungen in Buto. 35 Chronologie und Fernbeziehungen der Buto-Maadi- Kultur neu iiberdacht NAIRY HAMPlKlAN How Was the Pyramidion Placed at the Top of Khufu 47 Pyramid? ZAlll HAWASS Pyramid Construction. -
PYRAMIDS ARE PREHISTORIC RF ANTENNA?!... (A New Theory on Egyptian Great Pyramids)
International Journal of Scientific & Engineering Research, Volume 4, Issue 10, October-2013 977 ISSN 2229-5518 PYRAMIDS ARE PREHISTORIC RF ANTENNA?!... (A new theory on Egyptian Great Pyramids) M.Arulmani, B.E. V.R.Hema Latha, M.A., M.Sc., M.Phil. (Engineer) (Biologist) [email protected] [email protected] IJSER 1. ABSTRACT A scientific based research in this article focus that Egyptian great Pyramids were constructed for communication purpose and served as RF Antennas for remote controlling of SUN, EARTH, MOON from MARS Planet just like our television is operated through remote. The Prehistoric human populations lived in MARS planet shall be considered as super scientists and expert in Astronomy, Astrophysics, Engineering Architect might have constructed the huge Pyramid structures without any difficulty. IJSER © 2013 http://www.ijser.org International Journal of Scientific & Engineering Research, Volume 4, Issue 10, October-2013 978 ISSN 2229-5518 This research focus that MARS shall be considered as main switching centre (MSC) Energy centre and the Great Pyramid shall be considered as “Main Earth Station” and other three associated nearby pyramids on the same line of axis shall be considered as Base Terminal stations (BTS) for independently controlling the axial position of SUN, EARTH, MOON. It is speculated that the positional control of SUN, MOON also might have been done from EARTH Planet as SUN, MOON are not influenced with Negatively charged “Electron Particle”. It is focused that the Great pyramids might have been constructed with Prehistoric “J-Technology” derived from Akkie Principles. It is speculated that thousands of other “So called Pyramids” existing in other part of world shall not be considered as Real Pyramids within the scope of Pyramid definition. -
DIALOGUES with the DEAD Comp
Comp. by: PG0844 Stage : Proof ChapterID: 0001734582 Date:13/10/12 Time:13:59:20 Filepath:d:/womat-filecopy/0001734582.3D1 OUP UNCORRECTED PROOF – FIRST PROOF, 13/10/2012, SPi DIALOGUES WITH THE DEAD Comp. by: PG0844 Stage : Proof ChapterID: 0001734582 Date:13/10/12 Time:13:59:20 Filepath:d:/womat-filecopy/0001734582.3D2 OUP UNCORRECTED PROOF – FIRST PROOF, 13/10/2012, SPi Comp. by: PG0844 Stage : Proof ChapterID: 0001734582 Date:13/10/12 Time:13:59:20 Filepath:d:/womat-filecopy/0001734582.3D3 OUP UNCORRECTED PROOF – FIRST PROOF, 13/10/2012, SPi Dialogues with the Dead Egyptology in British Culture and Religion 1822–1922 DAVID GANGE 1 Comp. by: PG0844 Stage : Proof ChapterID: 0001734582 Date:13/10/12 Time:13:59:20 Filepath:d:/womat-filecopy/0001734582.3D4 OUP UNCORRECTED PROOF – FIRST PROOF, 13/10/2012, SPi 3 Great Clarendon Street, Oxford, OX2 6DP, United Kingdom Oxford University Press is a department of the University of Oxford. It furthers the University’s objective of excellence in research, scholarship, and education by publishing worldwide. Oxford is a registered trade mark of Oxford University press in the UK and in certain other countries # David Gange 2013 The moral rights of the author have been asserted First Edition published in 2013 Impression: 1 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission in writing of Oxford University Press, or as expressly permitted by law, by licence or under terms agreed with the appropriate reprographics rights organization.