{"title":"A Fourth Dimension Of Space","description":null,"products":[{"product_id":"visual-guide-to-extra-dimensions-book-chris-mcmullen-9781438298924","title":"The Visual Guide To Extra Dimensions","description":"\u003cb\u003eAUTHOR\u003c\/b\u003e Chris McMullen earned his Ph.D. in particle physics from Oklahoma State University. Dr. McMullen currently teaches physics at Northwestern State University of Louisiana. His background on the geometry and physics of a possible fourth dimension of space includes a half-dozen research papers on the prospects of discovering large extra dimensions at the Large Hadron Collider.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eDESCRIPTION\u003c\/b\u003e This book takes you on a visual tour of a fourth dimension of space. It is much more visual and conceptual than algebraic, yet it is detailed and technical, with the intention of satisfying the needs of mathematically-minded readers familiar with the fundamentals of algebra, geometry, and graphing. Here is a sample of what you will find: \u003cbr\u003e\u003cul\u003e\n\u003cli\u003eA fascinating tour of the second and lower dimensions, which will help to understand the fourth dimension by analogy.\u003c\/li\u003e\n\u003cli\u003eA chapter dedicated toward imagining what it might be like to live in a hypothetical 4D hyperuniverse. This includes details like 4D wheels with axles, a 4D staircase, and a 4D room.\u003c\/li\u003e\n\u003cli\u003ePictures of flat 4D objects called polytopes, like the tesseract, pentachoron, and icositetrachoron. A unique graph of a hecatonicosachoron has 12 of its 120 bounding dodecahedra highlighted to help visualize its complicated structure.\u003c\/li\u003e\n\u003cli\u003eIn-depth discussion of the hypercube, including numerical patterns, rotations, cross sections, and perspective. Watch a tesseract unfold.\u003c\/li\u003e\n\u003cli\u003eVisual intersections of 15 pairs of perpendicular planes and 6 pairs of orthogonal hyperplanes in 4D space.\u003c\/li\u003e\n\u003cli\u003eUnique graphs of curved hypersurfaces in 4D space, like the glome, spherinder, cubinder, and hyperparaboloid.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003ePUZZLES\u003c\/b\u003e Several puzzles are included to challenge the reader to contemplate the fourth dimension. Answers are included at the back of the book.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAUDIENCE\u003c\/b\u003e This book is highly visual and very conceptual such that anyone with an appreciation for geometry may understand it, while at the same time including ample detail to also satisfy readers with a strong background in mathematics.\u003cbr\u003e","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50043961966865,"sku":"CIN1438298927G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50450820989201,"sku":"CIN1438298927VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51026106220817,"sku":"NIN9781438298924","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":51775395758353,"sku":"GOR007555651","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1438298927.jpg?v=1751178343"},{"product_id":"full-color-illustrations-of-the-fourth-dimension-volume-2-book-chris-mcmullen-ph-d-9781449529345","title":"Full Color Illustrations of the Fourth Dimension, Volume 2","description":"Visualize hypercheckers and hyperchess in the 4th dimension, rotate a Rubik's hypercube, stack tesseracts together to build a hyperpyramid or a hypercross, view a hypertable with hyperchairs, climb hyperstairs, open the hyperdoor to a hyperhouse, watch hypertelevision, read a hyperbook, arrange glomes in a 4D lattice structure to create hypercrystals, stack hyperfruits at a hypersupermarket, record the position of a hyperstar with hypercelestial coordinates, make a hypermap using hypercompass directions, watch a spinning hyperplanet with tilt revolve around a hypersun, see a sample alphanumeric system for writing and arithmetic in 4D space, line up a shot on a hyperbilliards table, enjoy hyperbowling or hypertennis, and contemplate an object's reflection from a hyperplanar or hyperspherical mirror - all on this colorful journey through the fourth dimension. Each page consists of colorful images of four-dimensional objects with a paragraph caption describing the figures at the bottom.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50376946352401,"sku":"CIN1449529348G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51027121373457,"sku":"NIN9781449529345","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1449529348.jpg?v=1750757261"},{"product_id":"full-color-illustrations-of-the-fourth-dimension-volume-1-book-chris-mcmullen-ph-d-9781442141636","title":"Full Color Illustrations of the Fourth Dimension, Volume 1","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51026438553873,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51026440552721,"sku":"NIN9781442141636","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1442141638.jpg?v=1750757133"},{"product_id":"visual-guide-to-extra-dimensions-book-chris-mcmullen-ph-d-9781441497536","title":"The Visual Guide To Extra Dimensions","description":"\u003cb\u003eAUTHOR\u003c\/b\u003e Chris McMullen earned his Ph.D. in particle physics from Oklahoma State University. Dr. McMullen currently teaches physics at Northwestern State University of Louisiana. His background on the geometry and physics of a possible fourth dimension of space includes a half-dozen research papers on the prospects of discovering large extra dimensions at the Large Hadron Collider.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eDESCRIPTION\u003c\/b\u003e While Volume 1 covered the geometry of extra dimensions in detail, Volume 2 focuses on the physics of extra string-inspired dimensions. Consider the problem and solution of expressing the cross product in higher dimensions. See the effect that the extra flux of field lines has on Gauss's law in higher dimensions. Explore how extra dimensions may be hidden via compactification. Discover the recent motivation for the case of extra dimensions that are much larger than originally predicted by string theory. Read about current and upcoming experiments with the potential to detect the presence of large extra dimensions in our universe. Learn the fundamentals of special and general relativity, quantum mechanics, and string theory, and how these relate to extra dimensions. All on this visual introduction to the fourth and higher dimensions. This guide is conceptually and visually detailed, intended for mathematically-minded readers who may have not yet been exposed to calculus.\u003cbr\u003e\u003cbr\u003e\u003cb\u003ePUZLES\u003c\/b\u003e Several puzzles are included to challenge the reader to contemplate the fourth dimension. Answers are included at the back of the book.\u003cbr\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51026625790225,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51026628477201,"sku":"NIN9781441497536","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":51797292777745,"sku":"CIN1441497536G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51844168089873,"sku":"CIN1441497536VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":53652119716113,"sku":"GOR014993823","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1441497536.jpg?v=1751371247"}],"url":"https:\/\/www.worldofbooks.com\/collections\/a-fourth-dimension-of-space-book-series.oembed","provider":"World of Books ","version":"1.0","type":"link"}