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Friday, March 20, 2020

The Importance of Jade in Precolumbian America

The Importance of Jade in Precolumbian America Jade occurs naturally in very few places in the world, although the term jade has been often used to describe a variety of minerals used since ancient times to produce luxury items in many different regions of the world, such as China, Korea, Japan, New Zealand, Neolithic Europe, and Mesoamerica. The term jade should be properly applied to only two minerals: nephrite and jadeite. Nephrite is a calcium and magnesium silicate  and can be found in a variety of colors, from translucent white, to yellow, and all shades of green. Nephrite doesn’t occur naturally in Mesoamerica. Jadeite, a sodium and aluminum silicate, is a hard and highly translucent stone whose color ranges from blue-green to apple green. Sources of Jade in Mesoamerica The only source of jadeite known so far in Mesoamerica is the Motagua River valley in Guatemala. Mesoamericanists debate over whether the Motagua river was the only source  or ancient peoples of Mesoamerica used multiple sources of the precious stone. Possible sources under study are the Rio Balsas basin in Mexico  and the Santa Elena region in Costa Rica. Pre-Columbian archaeologists working on jade, distinguish between â€Å"geological† and â€Å"social† jade. The first term indicates the actual jadeite, whereas â€Å"social† jade indicates other, similar greenstones, such as quartz and serpentine which were not as rare as jadeite but were similar in color and therefore fulfilled the same social function. Cultural Importance of Jade Jade was especially appreciated by Mesoamerican and Lower Central American people because of its green color. This stone was associated with water, and vegetation, especially young, maturing corn. For this reason, it was also related to life and death. Olmec, Maya, Aztec and Costa Rican elites particularly appreciated jade carvings and artifacts and commissioned elegant pieces from skillful artisans. Jade was traded and exchanged among elite members as a luxury item all over the pre-Hispanic American world. It was replaced by gold very late in time in Mesoamerica, and around 500 AD in Costa Rica and Lower Central America. In these locations, frequent contacts with South America made gold more easily available. Jade artifacts are often found in elite burial contexts, as personal adornments or accompanying objects. Sometimes a jade bead was placed within the mouth of the deceased. Jade objects are also found in dedicatory offerings for the construction or ritual termination of public buildings, as well as in more private residential contexts. Ancient Jade Artifacts In the Formative period, the Olmec of the Gulf Coast were among the first Mesoamerican people to shape jade into votive celts, axes, and bloodletting tools around 1200-1000 BC. The Maya achieved master levels of jade carving. Maya artisans used drawing cords, harder minerals, and water as abrasive tools to work the stone. Holes were made in jade objects with bone and wood drills, and finer incisions were often added at the end. Jade objects varied in size and shapes and included necklaces, pendants, pectorals, ear ornaments, beads, mosaic masks, vessels, rings, and statues. Among the most famous jade artifacts from the Maya region, we can include funeral masks and vessels from Tikal, and Pakal’s funeral mask and jewels from the Temple of the Inscriptions at Palenque. Other burial offerings and dedication caches have been found at major Maya sites, such as Copan, Cerros, and Calakmul. During the Postclassic period, the use of jade dropped dramatically in the Maya area. Jade carvings are rare, with the notable exception of the pieces dredged out of the Sacred Cenote at Chichà ©n Itz. Among Aztec nobility, jade jewelry was the most valuable luxury: partly because of its rarity, since it had to be imported from the tropical lowlands, and partly because of its symbolism linked to water, fertility, ​and preciousness. For this reason, jade was one of the most valuable tribute item collected by the Aztec Triple Alliance. Jade in Southeastern Mesoamerica and Lower Central America Southeastern Mesoamerica and Lower Central America were other important regions of the distribution of jade artifacts. In the Costa Rican regions of Guanacaste-Nicoya jade artifacts were mainly widespread between AD 200 and 600. Although no local source of jadeite has been identified so far, Costa Rica and Honduras developed their own jade-working tradition. In Honduras, non-Maya areas show a preference for using jade in building dedication offerings more than burials. In Costa Rica, by contrast, the majority of jade artifacts have been recovered from burials. The use of jade in Costa Rica seems to come to an end around A.D. 500-600  when there was a shift towards gold as the luxury raw material; that technology originated in Colombia and Panama. Jade Study Problems Unfortunately, jade artifacts are hard to date, even if found in relatively clear chronological contexts, since this particularly precious and hard-to-find material was often passed down from one generation to another as heirlooms. Finally, because of their value, jade objects are often looted from archaeological sites and sold to private collectors. For this reason, a huge number of published items are from unknown provenience, missing, therefore, an important piece of information. Sources Lange, Frederick W., 1993, Precolumbian Jade: New Geological and Cultural Interpretations. University of Utah Press. Seitz, R., G.E. Harlow, V.B. Sisson, and K.A. Taube, 2001, Olmec Blue and Formative Jade Sources: New Discoveries in Guatemala, Antiquity, 75: 687-688

Wednesday, March 4, 2020

Learn About Natural Numbers, Whole Numbers, and Integers

Learn About Natural Numbers, Whole Numbers, and Integers In mathematics, youll see many references about numbers. Numbers can be classified into groups and initially it may seem somewhat perplexing but as you work with numbers throughout your education in math, they will soon become second nature to you. Youll hear a variety of terms being thrown at you and youll soon be using those terms with great familiarity yourself. You will also soon discover that some numbers will belong to more than one group. For instance, a prime number is also an integer and a whole number. Here is a breakdown of how we classify numbers: Natural Numbers Natural numbers are what you use when you are counting one to one objects. You may be counting pennies or buttons or cookies. When you start using 1,2,3,4 and so on, you are using the counting numbers or to give them a proper title, you are using the natural numbers. Whole Numbers Whole numbers are easy to remember. Theyre not fractions, theyre not decimals, theyre simply whole numbers. The only thing that makes them different than natural numbers is that we include the zero when we are referring to whole numbers. However, some mathematicians will also include the zero in natural numbers and Im not going to argue the point. Ill accept both if a reasonable argument is presented. Whole numbers are 1, 2, 3, 4, and so on. Integers Integers can be whole numbers or they can be whole numbers with a negative sign in front of them. Individuals often refer to integers as the positive and negative numbers. Integers are -4, -3, -2, -1, 0, 1, 2, 3, 4 and so on. Rational Numbers Rational numbers have integers AND fractions AND decimals. Now you can see that numbers can belong to more than one classification group. Rational numbers can also have repeating decimals which you will see be written like this: 0.54444444... which simply means it repeats forever, sometimes you will see a line drawn over the decimal place which means it repeats forever, instead of having a ...., the final number will have a line drawn above it. Irrational Numbers Irrational numbers dont include integers OR fractions. However, irrational numbers can have a decimal value that continues forever WITHOUT a pattern, unlike the example above. An example of a well known irrational number is pi which as we all know is 3.14 but if we look deeper at it, it is actually 3.14159265358979323846264338327950288419.....and this goes on for somewhere around 5 trillion digits! Real Numbers Here is another category where some other of the number classifications will fit. Real numbers include natural numbers, whole numbers, integers, rational numbers and irrational numbers. Real numbers also include fraction and decimal numbers. In summary, this is a basic overview of the number classification system, as you move to advanced math, you will encounter complex numbers. Ill leave it that complex numbers are real and imaginary.