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MAYA GLYPHS – Book 2
Maya Numbers & TTTheThe Maya Calendar A Non-Technical Introduction to MAYA GLYPHS – Book 2 by Mark Pitts Maya Numbers and Maya Calendar by Mark Pitts © Mark Pitts 2009 This book is dedicated to the Maya people living today in Mesoamerica. Title Page: A Maya glyph signifying10 periods of about 20 years each, or about 200 years. From Palenque, Mexico. 2 Book 22:::: Maya Numbers & TTTheThe Maya Calendar A Non-Technical Introduction to MAYA GLYPHS Table of Contents 3 Book 2: Maya Numbers and the Maya Calendar CHAPTER 1 – WRITING NUMBERS WITH BARS AND DOTS • The Basics: The Number Zero and Base 20 • Numbers Greater Than 19 • Numbers Greater Than 399 • Numbers Greater Than 7999 CHAPTER 2 - WRITING NUMBERS WITH GLYPHS • Maya Head Glyphs • The Number 20 CHAPTER 3 – THE SACRED AND CIVIL CALENDAR OF THE MAYA • Overview of the Maya Calendar • An Example • The Sacred Calendar and Sacred Year (Tzolk’in) • The Civil Calendar and Civil Year (Haab) • The Calendar Round CHAPTER 4 - COUNTING TIME THROUGH THE AGES • The Long Count • How to Write a Date in Maya Glyphs • Reading Maya Dates • The Lords of the Night • Time and The Moon • Putting It All Together Appendix 1 – Special Days in the Sacred Year Appendix 2 – Maya Dates for 2004 4 Appendix 3 – Haab Patrons for Introductory Glyphs Resources Online Bibliography Sources of Illustrations Endnotes 5 Chapter 111.1. Writing Numbers wwwithwithithith Bars and Dots A Maya glyph from Copán that denotes 15 periods of about 20 years each, or about 300 years. 6 THE BASICS: THE NUMBER ZERO AND BASE 20 The ancient Maya created a civilization that was outstanding in many ways. -
Native Traditions in the Postconquest World
This is an extract from: Native Traditions in the Postconquest World Elizabeth Hill Boone and Tom Cummins, Editors Published by Dumbarton Oaks Research Library and Collection Washington, D.C. © 1998 Dumbarton Oaks Trustees for Harvard University Washington, D.C. Printed in the United States of America www.doaks.org/etexts.html A Nation Surrounded A Nation Surrounded BRUCE MANNHEIM THE UNIVERSITY OF MICHIGAN Poetry is the plow tearing open and turning over time, so that the deep layers of time, its black under-soil, end up on the surface. Osip Mandelstam (1971: 50) N The Language of the Inka since the European Invasion (1991), I argued that the descendants of the Inkas, modern Southern Peruvian Quechua speak- Iers, are “a nation surrounded,” to use a phrase from the Peruvian novelist José María Arguedas (1968: 296), in two senses: first and more obviously, South- ern Peruvian Quechuas live in an institutional world mediated by the language of their conquerors, Spanish. The conquistadores brought along not only priests and interpreters but a public notary whose job it was to record the legal proto- cols of conquest. From that moment on, native Andeans became the objects of encompassing discourses that have not only shaped colonial and national poli- cies toward the native peoples but, in the legal and commercial arenas, also determined the fates of individual households and communities. For example, the judicial proceedings through which native lands passed into the possession of Spanish colonists were held in Spanish, and the archives are rife with cases in which even the notices of the proceedings were served on native Andean com- munities in Spanish. -
Maths Week 2021
Maths Week 2021 Survivor Series/Kia Mōrehurehu Monday Level 5 Questions What to do for students 1 You can work with one or two others. Teams can be different each day. 2 Do the tasks and write any working you did, along with your answers, in the spaces provided (or where your teacher says). 3 Your teacher will tell you how you can get the answers to the questions and/or have your work checked. 4 When you have finished each day, your teacher will give you a word or words from a proverb. 5 At the end of the week, put the words together in the right order and you will be able to find the complete proverb! Your teacher may ask you to explain what the proverb means. 6 Good luck. Task 1 – numbers in te reo Māori The following chart gives numbers in te reo Māori. Look at the chart carefully and note the patterns in the way the names are built up from 10 onwards. Work out what each of the numbers in the following calculations is, do each calculation, and write the answer in te reo Māori. Question Answer (a) whitu + toru (b) whā x wa (c) tekau mā waru – rua (d) ono tekau ma whā + rua tekau ma iwa (e) toru tekau ma rua + waru x tekau mā ono Task 2 - Roman numerals The picture shows the Roman Emperor, Julius Caesar, who was born in the year 100 BC. (a) How many years ago was 100 BC? You may have seen places where numbers have been written in Roman numerals. -
The Aztecs Gave the Tribe the Name Olmec
Mayan, Incan, and Aztec Civilizations: The Arrival of Man Alternate Version Download The Arrival of Man Crossing the Bering Strait Land Bridge Giant ice caps once covered both the Arctic and Antarc- tic regions of the earth. This was over 50,000 years ago. The levels of the oceans were lower than today. Much of the earth’s water was trapped in the polar ice caps. The lower water level showed a piece of land that connected Siberia to Alaska. To- day this area is once again under water. It is called the Bering Strait. Many scientists believe that early humans crossed over this land bridge. Then they began to spread out and settle in what is now North America. These people then moved into Central and South America. The Bering Strait land bridge was covered with water again when the ice caps thawed. This happened at the end of the Ice Age around 8,000 B.C. Today, we call the first people who settled in the West- ern Hemisphere Paleo-Indians. They are also called Paleo- Americans. Paleo is a prefix from the Greek language mean- As tribes migrated throughout North, ing “old.” The term Indian comes from the time of Columbus’ Central, and South America, they dis- voyages. He thought he had landed in India. Other names for covered agriculture and learned how to native people include Native Americans and First Nations. make stone tools and clay pottery. Each tribe or cultural group has its own name for its people. Hunting and Gathering The Paleo-Indians were hunters and gatherers. -
The Incas.Pdf
THE INCAS THE INCAS By Franklin Pease García Yrigoyen Translated by Simeon Tegel The Incas Franklin Pease García Yrigoyen © Mariana Mould de Pease, 2011 Translated by Simeon Tegel Original title in Spanish: Los Incas Published by Fondo Editorial de la Pontificia Universidad Católica del Perú, 2007, 2009, 2014, 2015 © Fondo Editorial de la Pontificia Universidad Católica del Perú, 2015 Av. Universitaria 1801, Lima 32 - Perú Tel.: (51 1) 626-2650 Fax: (51 1) 626-2913 [email protected] www.pucp.edu.pe/publicaciones Design and composition: Fondo Editorial de la Pontificia Universidad Católica del Perú First English Edition: January 2011 First reprint English Edition: October 2015 Print run: 1000 copies ISBN: 978-9972-42-949-1 Hecho el Depósito Legal en la Biblioteca Nacional del Perú N° 2015-13735 Registro de Proyecto Editorial: 31501361501021 Impreso en Tarea Asociación Gráfica Educativa Pasaje María Auxiliadora 156, Lima 5, Perú Contents Introduction 9 Chapter I The Andes, its History and the Incas 13 Inca History 13 The Predecessors of the Incas in the Andes 23 Chapter II The Origin of the Incas 31 The Early Organization of Cusco and the Formation of the Tawantinsuyu 38 The Inca Conquests 45 Chapter III The Inca Economy 53 Labor 64 Agriculture 66 Agricultural Technology 71 Livestock 76 Metallurgy 81 The Administration of Production 85 Storehouses 89 The Quipus 91 Chapter IV The Organization of Society 95 The Dualism 95 The Inca 100 The Cusco Elite 105 The Curaca: Ethnic Lord 109 Inca and Local Administration 112 The Population and Population -
Contrasting Views of Titu Cusi Yupanqui and Pedro Sarmiento De Gamboa
Were the Incas Natural Lords of Peru? Contrasting views of Titu Cusi Yupanqui and Pedro Sarmiento de Gamboa By Katherine Hoyt, Ph.D. Alliance for Global Justice (retired) Prepared for delivery at the 2021 Virtual Meeting of the Western Political Science Association April 3. 2021 Writing in 1570 from the last Inca stronghold of Vilcabamba, the Inca Titu Cusi Yupanqui begins his Relación de la conquista del Perú by saying that he is the grandson of the Inca Huayna Capac and son of Manco Inca Yupanqui, “the natural lords that used to rule these kingdoms and provinces of Peru.”1 The term “natural lords” was used by Spanish philosophers and theologians, including Francisco de Vitoria at the University of Salamanca in Spain, to indicate rulers of hierarchical societies whose subjects accepted their rule. Meanwhile, writing in Cuzco, the Spanish navigator and conquistador Pedro Sarmiento de Gamboa was given the task by Viceroy Francisco de Toledo of proving exactly the opposite: that the Incas were not natural lords of their lands and were, in fact, tyrants. Vitoria had maintained that it was not legitimate to attack societies ruled by their natural lords except in the case of tyranny, protection of innocent people, or self-defense. Titu Cusi makes a special effort to show the devotion of the people to his father Manco Inca and thus prove that he ruled with their support and favor. On the other hand, Sarmiento de Gamboa worked to compile acts of cruelty and tyranny on the part of each Inca ruler in order to prove that the conquest had been justified. -
On the Origin of the Different Mayan Calendars Thomas Chanier
On the origin of the different Mayan Calendars Thomas Chanier To cite this version: Thomas Chanier. On the origin of the different Mayan Calendars. 2014. hal-01018037v1 HAL Id: hal-01018037 https://hal.archives-ouvertes.fr/hal-01018037v1 Submitted on 3 Jul 2014 (v1), last revised 14 Jan 2015 (v3) HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. On the origin of the different Mayan Calendars T. Chanier∗1 1 Department of Physics, University of Namur, rue de Bruxelles 61, B-5000 Namur, Belgium The Maya were known for their astronomical proficiency. Whereas Mayan mathematics were based on a vigesimal system, they used a different base when dealing with long periods of time, the Long Count Calendar (LCC), composed of different Long Count Periods: the Tun of 360 days, the Katun of 7200 days and the Baktun of 144000 days. There were three other calendars used in addition to the LCC: a civil year Haab’ of 365 days, a religious year Tzolk’in of 260 days and a 3276- day cycle (combination of the 819-day Kawil cycle and 4 colors-directions). Based on astronomical arguments, we propose here an explanation of the origin of the LCC, the Tzolk’in and the 3276-day cycle. -
H. Braakhuis Artificers of the Days: Functions of the Howler Monkey Gods Among the Mayas
H. Braakhuis Artificers of the days: Functions of the howler monkey gods among the Mayas In: Bijdragen tot de Taal-, Land- en Volkenkunde 143 (1987), no: 1, Leiden, 25-53 This PDF-file was downloaded from http://www.kitlv-journals.nl Downloaded from Brill.com10/01/2021 08:43:37PM via free access H. E. M. BRAAKHUIS ARTIFICERS OF THE DAYS: FUNCTIONS OF THE HOWLER MONKEY GODS AMONG THE MAY AS* Car j'installe, par la science, L'hymne des coeurs spirituels En 1'oeuvre de ma patience, Atlas, herbiers et rituels. (Mallarmé, ProsepourDes Esseintes) 1. INTRODUCTION In his study entitled 'Supernatural Patrons of Maya Scribes and Artists', M. D. Coe has been able to establish that the gods Hun Batz and Hun Choven, 'One Howler Monkey' and 'One Artisan', repeatedly occur as the subjects of funerary vase representations, dating from the Late Classic period (600-900 A.D.) of Mayan civilization. An important sixteenth-century Quiché-Mayan source, the Popol Vuh, presents these deities as the malicious elder stepbrothers of its heroes, Hunahpu, 'One Blowgunner', and his companion Xbalanque. In accordance with some of their functions in the Popol Vuh, the simians, or figures substituted for them, are depicted in the acts of writing and carving. In 1981, the article of M. D. Coe was followed by a chapter on scribes in the catalogue raisonné of codex-style vase paintings published by F. Robicsek and D. M. Hales. Although adding quite a few pictures of Howler Monkeys and other writing and carving gods, the authors did not present any new points of view but stayed within the confines of Coe's earlier explanations. -
Inca Statehood on the Huchuy Qosqo Roads Advisor
Silva Collins, Gabriel 2019 Anthropology Thesis Title: Making the Mountains: Inca Statehood on the Huchuy Qosqo Roads Advisor: Antonia Foias Advisor is Co-author: None of the above Second Advisor: Released: release now Authenticated User Access: No Contains Copyrighted Material: No MAKING THE MOUNTAINS: Inca Statehood on the Huchuy Qosqo Roads by GABRIEL SILVA COLLINS Antonia Foias, Advisor A thesis submitted in partial fulfillment of the requirements for the Degree of Bachelor of Arts with Honors in Anthropology WILLIAMS COLLEGE Williamstown, Massachusetts May 19, 2019 Introduction Peru is famous for its Pre-Hispanic archaeological sites: places like Machu Picchu, the Nazca lines, and the city of Chan Chan. Ranging from the earliest cities in the Americas to Inca metropolises, millennia of urban human history along the Andes have left large and striking sites scattered across the country. But cities and monuments do not exist in solitude. Peru’s ancient sites are connected by a vast circulatory system of roads that connected every corner of the country, and thousands of square miles beyond its current borders. The Inca road system, or Qhapaq Ñan, is particularly famous; thousands of miles of trails linked the empire from modern- day Colombia to central Chile, crossing some of the world’s tallest mountain ranges and driest deserts. The Inca state recognized the importance of its road system, and dotted the trails with rest stops, granaries, and religious shrines. Inca roads even served directly religious purposes in pilgrimages and a system of ritual pathways that divided the empire (Ogburn 2010). This project contributes to scholarly knowledge about the Inca and Pre-Hispanic Andean civilizations by studying the roads which stitched together the Inca state. -
Arxiv:1601.03132V7 [Math.HO] 15 Nov 2018 [2]
Solution of the Mayan Calendar Enigma Thomas Chanier1∗ 1Independent researcher, 1025 12th avenue, Coralville, Iowa 52241, USA The Mayan calendar is proposed to derive from an arithmetical model of naked-eye astronomy. The Palenque and Copan lunar equations, used during the Maya Classic period (200 to 900 AD) are solution of the model and the results are expressed as a function of the Xultun numbers, four enigmatic Long Count numbers deciphered in the Maya ruins of Xultun, dating from the IX century AD, providing strong arguments in favor of the use of the model by the Maya. The different Mayan Calendar cycles can be derived from this model and the position of the Calendar Round at the mythical date of creation 13(0).0.0.0.0 4 Ahau 8 Cumku is calculated. This study shows the high proficiency of Mayan mathematics as applied to astronomy and timekeeping for divinatory purposes.a I. INTRODUCTION In the Calendar Round, a date is represented by αXβY with the religious month 1 ≤ α ≤ 13, X one of the 20 Mayan priests-astronomers were known for their astro- religious days, the civil day 0 ≤ β ≤ 19, and Y one of the nomical and mathematical proficiency, as demonstrated 18 civil months, 0 ≤ β ≤ 4 for the Uayeb. Fig. 1 shows a in the Dresden Codex, a XIV century AD bark-paper contemporary representation of the Calendar Round as book containing accurate astronomical almanacs aiming a set of three interlocking wheels: the Tzolk'in, formed to correlate ritual practices with astronomical observa- by a 13-month and a 20-day wheels and the Haab'. -
Bit, Byte, and Binary
Bit, Byte, and Binary Number of Number of values 2 raised to the power Number of bytes Unit bits 1 2 1 Bit 0 / 1 2 4 2 3 8 3 4 16 4 Nibble Hexadecimal unit 5 32 5 6 64 6 7 128 7 8 256 8 1 Byte One character 9 512 9 10 1024 10 16 65,536 16 2 Number of bytes 2 raised to the power Unit 1 Byte One character 1024 10 KiloByte (Kb) Small text 1,048,576 20 MegaByte (Mb) A book 1,073,741,824 30 GigaByte (Gb) An large encyclopedia 1,099,511,627,776 40 TeraByte bit: Short for binary digit, the smallest unit of information on a machine. John Tukey, a leading statistician and adviser to five presidents first used the term in 1946. A single bit can hold only one of two values: 0 or 1. More meaningful information is obtained by combining consecutive bits into larger units. For example, a byte is composed of 8 consecutive bits. Computers are sometimes classified by the number of bits they can process at one time or by the number of bits they use to represent addresses. These two values are not always the same, which leads to confusion. For example, classifying a computer as a 32-bit machine might mean that its data registers are 32 bits wide or that it uses 32 bits to identify each address in memory. Whereas larger registers make a computer faster, using more bits for addresses enables a machine to support larger programs. -
La Cosmología En El Dibujo Del Altar Del Quri Kancha Según Don Joan
La cosmología en el dibujo del altar del Quri Kancha según don Joan de Santa Cruz Pachacuti Yamqui Salca Maygua Rita Fink Se suele adscribir al dibujo del altar de Quri Kancha una estructura bipartita (dos campos separados por un eje vertical), la cual refleja la oposición andina de hanan-hurin o alternativamente la simetría de los altares eclesiásticos. El presente trabajo identifica los elementos del dibujo y analiza las parejas que ellos componen, examinando el simbolismo de cada una de ellas y las interrelaciones de sus componentes en varias fuentes de los siglos XVI-XX. El mundo dibujado está organizado según el principio andino de hanan-hurin aplicado en dos dimensiones, la horizontal y la vertical. Dos ejes, hanan y hurin, dividen el espacio en cuatro campos distintos. Los campos inferiores están organizados de manera inversa con respecto al espacio superior. Semejantes estructuras cuatripartitas se encuentran en otras representaciones espacio-temporales andinas. The structure of the drawing of the Quri Kancha altar has been described as dual, reflecting either the Andean hanan-hurin complementarity or the symmetry of Christian church altars. Present study identifies the elements presented in the drawing and analyses the couples which they comprise, demonstrating the symbolism of each couple and the hanan-hurin relations within them, as evident in XVI-XX century sources. The world presented in the drawing of the Quri Kancha altar is organized according to the Andean hanan-hurin principle applied on two-dimensional scale (horizontal and vertical). Two axes - hanan and hurin - divide the space into 4 distinct fields. The lower fields are inverted relative to the hanan space above.