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Ordering the Heavens: A Visual History of Mapping the Universe

Ordering the Heavens: A Visual History of Mapping the Universe
by Maria Popova From Copernicus to Ancient Korea, or what the Chinese concept of change has to do with Aztec astrology. The love of maps is a running theme here at Brain Pickings, from these 7 must-read books on creative cartography to, most recently, BBC’s fantastic documentary on important medieval maps. Humanity’s long history of visual sensemaking is as much a source of timeless inspiration as a living record of how our collective understanding of the universe and our place in it evolved. It seems like the farther from the known mapmakers’ imaginations traveled, the more fascinating their maps became. And hardly does the unknown glimmer with more alluring sparkle than the cosmos. The Emperor's Astronomy Petrus Apianus. The 'Emperor's Astronomy'(dedicated to the Holy Roman Emperor Charles V) elegantly depicts the cosmos and heavens according to the 1400-year-old Ptolemaic system, which maintained that the sun revolved around the earth. Popular Sixteenth-Century Scientific Work Related:  Liu Hui Pimythologybrainpickings

Development of Mathematics in Ancient China Development of Mathematics in Ancient China Chinese Math Texts The history of Chinese math and mathematicians was mostly lost or destroyed over the centuries. For example, the despotic emperor Shih Huang-ti of the Ch'in dynasty (221-207 B.C.) ordered the burning of books in 213 B.C. Scholars in the following Han period (206 B.C. to 220 A.D.) had to transcribe China's literary and scientifice traditions from memory or remaining fragments of scroll. Knowledge of astronomy and other areas was often handed down from father to son, and only later recorded in texts. Since the 16 century, Chinese math history has also been denied and ignored in the Western dominance of science and technology, both inside and outside China. However, there are several existing Chinese applied mathematics texts, which are collections of problems and solutions organized in chapters according to their practical applications. Chou Pei Chiu Chang Another 3rd century B.C. Other Texts

Family tree of the Greek gods Key: The essential Olympians' names are given in bold font. See also List of Greek mythological figures Notes External links Media related to Family trees of Greek mythology at Wikimedia Commons Here’s A Google Perk Any Company Can Imitate: Employee-To-Employee Learning Adam Green sprinkles his lecture on data visualization with class participation. “Does anyone read sheet music?” he asks before showing a video that re-imagines music notation in a more visual way. “Anyone ever in the military?” he asks before explaining that branch of government’s preference for white type on black backgrounds. And then, finally, after covering the basics, he gets to the point: "What would you do to make this graph more clear?" His 19 students take notes, having pushed the electronic devices they arrived with toward the center of the table. But it’s not. On days like today, however, he participates in a program called “Googler to Googler,” which places employees from across departments into teaching roles that would otherwise be filled by the HR department (or rather, as Google calls it, “People Operations”). It's not about money. Promoting A Culture Of Learning Putting Employees In Teaching Mode Employee-to-employee education gives them the same opportunity.

Built to Last: The Illustrated Secrets of Mankind's Greatest Structures by Maria Popova What gargoyles and mosques have to do with King Edward I and the secrets of Ancient Rome. Castles. Cathedrals. Mosques. A reference model for the ribs of the vaulting on the roof truss Laying out the drawing of the roof trusses A quick reference model for the roof trusses An early sketch of the flying buttresses and one gargoyle Sketch for the kitchen scene while making dinner fit for a king Macaulay modeling for the drawing of King Edward I. Whether the three building types in this book were built to last or simply to impress, they were certainly constructed with determination and care. Combining rigorous research, poetic illustration and the captivating human stories behind these architectural marvels, Built to Last is equal parts illuminating and inspirational, brimming with a kind of visceral curiosity that makes Macaulay’s timeless drawings spring to life. Brain Pickings has a free weekly newsletter and people say it’s cool. Share on Tumblr

Who are the Happy Gods? Who are the happy gods?(if you are going to worship a god, it might as well be a happy one) Achelois (Greek goddess) Achelois means "she who drives away pain", and she was a Moon Goddess. Minor Greek Goddesses: A-E Aphrodite (Greek goddess) Aphrodite is the goddess of love, beauty and sexual rapture.She loved gaiety and glamour Goddesses and Gods Love and Sexuality Apollo (Greek god) Apollo is in many respects the paradigm of a Greek god. Ame-no-uzume (Japanese goddess) "The dance of the goddess Ame-no-Uzume grew wilder as she recalled a thousand orgasms she had enjoyed: her nipples stiffened and she felt her sex open when she remembered the phalluses of the countless lovers who had penetrated her. Anna Perenna (Roman goddess) Goddess of the New Year, provider of food. Bacchus (Roman god) God of Wine and Intoxication. Bastet (Egyptian goddess) A woman with the head of a domesticated cat, sometimes holding a sistrum. Baubo (Greek goddess) Baubo appears in the story of Demeter & Persephone.

Liu Hui | Liu Hui and his mathematic career Liu Hui (fl. 3rd century) was one of the most renowned mathematicians in ancient China (primarily account his fame to his method for approximating pi). (One version of portrait of Liu Hui) He solved all the problems on 九章算術 (which is more prevalently known as ‘The Nine Chapters on the Mathematical Art‘ (In ancient Chinese, arithmetics has the same meaning as ‘mathematical art’)) and made his own version of compilation out of it named 九章算術註 (‘Commentary on the Nine Chapters’). (image of ‘Nine Chapters on the Mathematical Art‘) Furthermore, Liu Hui also wrote and published his own book 海島算經 (‘Sea Island Mathematical Manual‘) in year 263 C.E.. (image of ‘Sea Island Mathematical Manual‘) Liu Hui devoted his whole life working on exploring the subject of mathematics, applied mathematics and surveying methodology. Liu Hui’s achievements on mathematics could be roughly categorized into two aspects: 1. a. b. c. (Liu Hui’s proof of Pythagorean Theorem) 2. a. b. (simulated model of ‘double box lid’)

Greek Gods Family Tree Doing homework? Your teacher has already seen this. See Theoi; it has properly-sourced information. Known errors: Generally inconsistent sourcing. How To Capture Ideas Visually With The iPad By its very design, the iPad promotes consumption. Essentially an interactive mobile screen, the combination of physical form and supporting software-based user interface on Apple’s wunder-tablet suggests watching and listening, enabling you to tear the “monitor” off the desk and take it with you. By lacking a keyboard, input and production aren’t quite as natural. That isn’t necessarily because the iPad can’t accommodate such input, but rather that the software–and our habits as users–haven’t completely caught up with the not-insignificant shift in interface. But it doesn’t have to be that way. One microcosm of the potential of the iPad in learning is the concept of visual recording. Visual recording is what it sounds like it’d be. But executing it in practice–and then doing something meaningful with those iPad-captured images–isn’t second-nature simply because it’s not something you do everyday. 1. 2. 3. 4.

Spomenik: Retrofuturistic Monuments of the Eastern Bloc by Maria Popova The ghosts of communism, or what alien architecture has to do with societal memory and Serbia’s mountains. Having grown up in the former Eastern Bloc, I vividly remember the bizarre and beautiful monuments commissioned by the communist leaders of the 1960s and 70s, which remained as retrofuturistic remnants after the fall of communism, like the undying ghosts of an era most sought to forget but would always remember. These are the subject of Spomenik — a peculiar book by contemporary Belgian photographer Jan Kempenaers, who took a laborious trek across former Yugoslavia and The Balkans to photograph the strikingly beautiful yet odd structures tucked away in the region’s mountains. The results are haunting and eerily powerful, evoking a felt sense of a fold in the space-time fabric of sociopolitical reality. Kempenaers did not set out as a documentary photographer, but first and foremost as an artist seeking to create a new image. Podgaric Kruševo Kozara Petrova Gora Kosmaj Niš

☼ Portail des civilisations anciennes Liu Hui’s pi algorithm | Deconstructing Masculinities in South Korean Culture Cyclotomic method: Liu Hui used the area of n-gon inscribed in a circle (with n being the larger the better) to estimate the area of a circle. In his own word, he said that “The finer the circle being cut, the smaller error we get when we estimate; if we continue to cut until the polygon can’t be cut any more, then the area of this polygon yields the area of the circle”. It is worth noticing that his method coincides with the modern infinite series methodology of estimation. (Liu Hui’s approximation of pi using n-gon) (Details about Liu’s pi algorithm) The image below is an example of Liu’s method of calculating the area of 2n-gon inscribed in a circle. Basically we have already calculated the area of n-gon before, and the area of triangle AOB is 1/n of the area of the n-gon. We know that OA = OB = OC = r, while AB (side length of the n-gon, which is known) = l. We have that AG = GB = l/2, and that OG = sqrt(BO^2-BG^2) = sqrt(r^2-l^2/4). Thus CG = OC – OG = r – sqrt(r^2-l^2/4). Like this:

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