Computer graphics, computer-aided design, and computer-aided manufacturing are tools that have become indispensable to a wide array of activities in contemporary society. Euclidean processing provides the basis for these computer-aided design systems although it contains elements that inevitably lead to an inaccurate, non-robust, and complex system. The primary cause of the deficiencies of Euclidean processing is the division operation, which becomes necessary if an n-space problem is to be processed in n-space. The difficulties that accompany the division operation may be avoided if processing is conducted entirely in (n+1)-space. The paradigm attained through the logical extension of this approach, totally four-dimensional processing, is the subject of this book. This book offers a new system of geometric processing techniques that attain accurate, robust, and compact computations, and allow the construction of a systematically structured CAD system.
Princely Chess is a chess variant, that introduces a new piece to the game called: Prince. Inheriting a mix of the moves from his parents, the Prince can dismantle classic strategies creating a whole new dimension to the mythical board game. Created at the beginning of the millennium, its author Ben Tolosa publishes this manual to the world in 2013 for you to discover a new, fun, creative and remarkable way to enjoy the most legendary game
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