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In this insightful book, which is a revisionist math history as well as a revisionist art history, Tony Robbin, well known for his innovative computer visualizations of hyperspace, investigates different models of the fourth dimension and how these are applied in art and physics. Robbin explores the distinction between the slicing, or Flatland, model and the projection, or shadow, model. He compares the history of these two models and their uses and misuses in popular discussions. Robbin breaks new ground with his original argument that Picasso used the projection model to invent cubism, and that Minkowski had four-dimensional projective geometry in mind when he structured special relativity. The discussion is brought to the present with an exposition of the projection model in the most creative ideas about space in contemporary mathematics such as twisters, quasicrystals, and quantum topology. Robbin clarifies these esoteric concepts with understandable drawings and diagrams. Robbin proposes that the powerful role of projective geometry in the development of current mathematical ideas has been long overlooked and that our attachment to the slicing model is essentially a conceptual block that hinders progress in understanding contemporary models of spacetime. He offers a fascinating review of how projective ideas are the source of some of today’s most exciting developments in art, math, physics, and computer visualization.
Important elements of games, movies, and other computer-generated content, shadows are crucial for enhancing realism and providing important visual cues. In recent years, there have been notable improvements in visual quality and speed, making high-quality realistic real-time shadows a reachable goal. Real-Time Shadows is a comprehensive guide to the theory and practice of real-time shadow techniques. It covers a large variety of different effects, including hard, soft, volumetric, and semi-transparent shadows. The book explains the basics as well as many advanced aspects related to the domain of shadow computation. It presents interactive solutions and practical details on shadow computation. The authors compare various algorithms for creating real-time shadows and illustrate how they are used in different situations. They explore the limitations and failure cases, advantages and disadvantages, and suitability of the algorithms in several applications. Source code, videos, tutorials, and more are available on the book’s website www.realtimeshadows.com.
"Chronological explanation of physics from early history through current studies geared to lay readers with limited mathematical training"--
Christmas Day, 3:00 a.m., December 25, 2015 The final chapter in man’s search for truth began with a single event that took place in the wee hours of Christmas morning, 2015. A crippling blizzard of epic proportion had blanketed the entire northeastern corridor with an opaque shroud of ice and wind-driven snow. All ground and air transportation was at a complete standstill as residents throughout the Atlantic coastal area hunkered down in their homes awaiting a reprieve from nature’s fury. This explains why Ray Hodges was fast asleep at his desk in the air traffic control tower of Dulles International Airport. After doing absolutely nothing for the past six hours, he was bored stiff and had planned to rest his eyes for only a moment. Forty-five minutes later, Hodges was awakened by a high-pitched alarm warning him of an incoming bogey. The aircraft’s radar signature was that of a TWA Constellation, a prop-driven plane that he had not seen since the early 1960s. The anonymous intruder was flying dangerously close to the high value targets in Washington DC, and Hodges was required to establish immediate radio contact with the inbound aircraft. Using multiple radio frequencies, he tried to hail the pilot, with no response. This perilous situation prompted an urgent call to the Strategic Air Command at Andrews Air Base, and within minutes of notification, a squadron of F18 jets had surrounded the aircraft. The team leader contacted Hodges and reported that he too was unable to communicate with the pilot. Then the pilot said something that made Hodges’s skin crawl. “Dulles, there seems to be multiple objects protruding through the fuselage of the plane. Understand the visibility up here is marginal, but those objects look a lot like body parts.” Hodges instantly felt a gnawing pain centered in the pit of his stomach. Thus began one young man’s journey into the crypts of the unknown. It was a place where all reality was an illusion.
" ... selected not only African oral and written stories but also tales from around the world ..."--Pref., p. 11.
The Allegory of the Cave, or Plato's Cave, was presented by the Greek philosopher Plato in his work Republic (514a–520a) to compare "the effect of education (παιδεία) and the lack of it on our nature". It is written as a dialogue between Plato's brother Glaucon and his mentor Socrates, narrated by the latter. The allegory is presented after the analogy of the sun (508b–509c) and the analogy of the divided line (509d–511e). All three are characterized in relation to dialectic at the end of Books VII and VIII (531d–534e). Plato has Socrates describe a group of people who have lived chained to the wall of a cave all of their lives, facing a blank wall. The people watch shadows projected on the wall from objects passing in front of a fire behind them, and give names to these shadows. The shadows are the prisoners' reality.
The New York Times bestseller “The Shadow of the Wind is ultimately a love letter to literature, intended for readers as passionate about storytelling as its young hero.” —Entertainment Weekly (Editor's Choice) “One gorgeous read.” —Stephen King Barcelona, 1945: A city slowly heals in the aftermath of the Spanish Civil War, and Daniel, an antiquarian book dealer’s son who mourns the loss of his mother, finds solace in a mysterious book entitled The Shadow of the Wind, by one Julián Carax. But when he sets out to find the author’s other works, he makes a shocking discovery: someone has been systematically destroying every copy of every book Carax has written. In fact, Daniel may have the last of Carax’s books in existence. Soon Daniel’s seemingly innocent quest opens a door into one of Barcelona’s darkest secrets--an epic story of murder, madness, and doomed love.
Presents the author's thesis that consciousness, in its manifestation in the human quality of understanding, is doing something that mere computation cannot; and attempts to understand how such non-computational action might arise within scientifically comprehensive physical laws.
"I love every aspect of this amazing book—a genderfluid hero, a deadly contest, and vicious courtly intrigue. Get! Read! Now!" —Tamora Pierce, #1 New York Times bestselling author I needed to win. They needed to die. Sallot Leon is a thief, and a good one at that. But gender fluid Sal wants nothing more than to escape the drudgery of life as a highway robber and get closer to the upper-class—and the nobles who destroyed their home. When Sal steals a flyer for an audition to become a member of The Left Hand—the Queen's personal assassins, named after the rings she wears—Sal jumps at the chance to infiltrate the court and get revenge. But the audition is a fight to the death filled with clever circus acrobats, lethal apothecaries, and vicious ex-soldiers. A childhood as a common criminal hardly prepared Sal for the trials. And as Sal succeeds in the competition, and wins the heart of Elise, an intriguing scribe at court, they start to dream of a new life and a different future, but one that Sal can have only if they survive. This heart-pounding YA story of magic, danger, and revenge is perfect for readers looking for: epic books for tweens and teens gay and lesbian fantasy and science fiction gripping stories with queer and gay magic and sorcery gender fluid representation and gender diversity dazzling world-building and relatable characters Praise for Mask of Shadows: A Bustle Most Anticipated YA of 2017! "Compelling and relatable characters, a fascinating world with dangerous magic, and a dash of political intrigue: Mask of Shadows completely delivered. Fantasy fans will love this book."—Jodi Meadows, New York Times bestselling coauthor of My Lady Jane "An intriguing world and a fantastically compelling main character make for a can't-miss debut. Miller's Mask of Shadows will make you glad you're not an assassin—and even gladder Sal is."—Kiersten White, New York Times bestselling author of And I Darken and Now I Rise "It is fabulous. Go forth and read the Hunger Games-like craftiness and intensity, Kaz Brekker-ish determination and moral questionability, and utterly charming romance." — LGBTQ Reads "Uber bloody and action packed, Mask of Shadows is the book for anyone who loves a heavy dose of grit and gore with their fantasy." — TeenVogue.com Don't miss the highly anticipated second book in the Mask of Shadows duology, Ruin of Stars, and Linsey Miller's standalone YA fantasy Belle Révolte, both available now!