In this sequel to The Fourth Dimension, Volume 1, Dr. David Yonggi Cho shows how you can develop the dynamic faith and true communion with God which overcome spiritual obstacles and surpass barriers.

In a world with no power, chaos soon descends. A powerful look at the disintegration of society in the wake of a massive and mysterious outage that has knocked out all modern amenities. Fifteen-year-old Emma has moved house with her ex-Marine mother and younger brother. It's a brand-new condo building, which explains the semi-regular power outages, as workers complete the units around them. So Emma isn't particularly concerned when the latest blackout hits just as they are preparing to leave town on a long weekend camping trip. But then the car won't start, and their cellphones appear dead -- and all the cars outside their building seem to be stalled in a long traffic jam ... In the midst of what appears to be a massive power outage, with their camping gear packed and ready, Emma and her family canoe over to the islands, just offshore, to wait it out. But while they land on an isolated island, with a relatively hidden site, they are far from safe, as people become increasingly desperate to find food and shelter. And as the days pass, and the power remains out, the threat of violence becomes all too real.

One of the most talented contemporary authors of cutting-edge math and science books conducts a fascinating tour of a higher reality, the Fourth Dimension. Includes problems, puzzles, and 200 drawings. "Informative and mind-dazzling." — Martin Gardner.

A book from the stand-up mathematician that makes math fun again! Math is boring, says the mathematician and comedian Matt Parker. Part of the problem may be the way the subject is taught, but it's also true that we all, to a greater or lesser extent, find math difficult and counterintuitive. This counterintuitiveness is actually part of the point, argues Parker: the extraordinary thing about math is that it allows us to access logic and ideas beyond what our brains can instinctively do—through its logical tools we are able to reach beyond our innate abilities and grasp more and more abstract concepts. In the absorbing and exhilarating Things to Make and Do in the Fourth Dimension, Parker sets out to convince his readers to revisit the very math that put them off the subject as fourteen-year-olds. Starting with the foundations of math familiar from school (numbers, geometry, and algebra), he reveals how it is possible to climb all the way up to the topology and to four-dimensional shapes, and from there to infinity—and slightly beyond. Both playful and sophisticated, Things to Make and Do in the Fourth Dimension is filled with captivating games and puzzles, a buffet of optional hands-on activities that entices us to take pleasure in math that is normally only available to those studying at a university level. Things to Make and Do in the Fourth Dimension invites us to re-learn much of what we missed in school and, this time, to be utterly enthralled by it.

A detailed description of what the fourth dimension would be like.

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.

A commemorative look at 50 years of Dr. Cho¿s min-istry of hope, released in time for his retirement this summer. Over the years, as he struggled to bring hope to people and build his church, God taught Dr. Cho not to depend upon himself but totally upon the Holy Spirit. In this book Dr. Cho tells the stories of his temptations and doubts, failures and successes, and how the Holy Spirit was with him in every situa-tion. The teaching in this book will inspire the reader to stand strong in the face of adversity, doubt, and fear. Followers worldwide will add this highly antici-pated autobiography to their collection of Dr. Cho¿s coveted works.