The Dodecahedron
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| Author | : Paul Glennon |
| Publisher | : The Porcupine's Quill |
| Total Pages | : 228 |
| Release | : 2005 |
| Genre | : Fiction |
| ISBN | : 0889842752 |
Twelve narratives, twelve narrators, twelve genres and twelve fictional worlds collide to spectacular effect in Paul Glennon's The Dodecahedron, or a Frame for Frames. The second book from the author of How Did You Sleep? takes his adventures in short fiction to strange new regions, where professional polygamists, heretical alcoholics and hallucinating arctic explorers find themselves sharing plot points, character traits and dialogue. At turns philosophical and farcical, The Dodecahedron makes for intriguing, compelling reading. Each of the book's twelve chapters has its own style and apparent fictional autonomy, but every narrative finds itself corroborated or undermined by the next. Messages found in bottles, computer-generated dialogues and the lamentations of the world's last genie shouldn't have much in common, but their paths constantly intersect in The Dodecahedron, creating networks of allusions and contradictions. The Dodecahedron revels in the art of story making and proves once and for all that the geometry of the dodecahedron is a rich source of comic fiction.
| Author | : Norton Juster |
| Publisher | : Yearling |
| Total Pages | : 274 |
| Release | : 1988-10-12 |
| Genre | : Juvenile Fiction |
| ISBN | : 0394820371 |
With almost 5 million copies sold 60 years after its original publication, generations of readers have now journeyed with Milo to the Lands Beyond in this beloved classic. Enriched by Jules Feiffer’s splendid illustrations, the wit, wisdom, and wordplay of Norton Juster’s offbeat fantasy are as beguiling as ever. “Comes up bright and new every time I read it . . . it will continue to charm and delight for a very long time yet. And teach us some wisdom, too.” --Phillip Pullman For Milo, everything’s a bore. When a tollbooth mysteriously appears in his room, he drives through only because he’s got nothing better to do. But on the other side, things seem different. Milo visits the Island of Conclusions (you get there by jumping), learns about time from a ticking watchdog named Tock, and even embarks on a quest to rescue Rhyme and Reason. Somewhere along the way, Milo realizes something astonishing. Life is far from dull. In fact, it’s exciting beyond his wildest dreams!
| Author | : Ethan Somerville |
| Publisher | : |
| Total Pages | : 212 |
| Release | : 2017-07-27 |
| Genre | : |
| ISBN | : 9781521950388 |
On future Earth, in the North American continent, Human/Eridon half-castes have started to concentrate in disturbingly high numbers. The Great Council of Eridon assigns Ranados Taithlin from the Human/Eridon Half-Caste Team to lead an expedition to discover why.Ranados gathers together Eridon's foremost Earthian experts; Omadon Delfay and three of his old friends; Aidan Thomas, Katarine of Carcassonne and Con Hatsopopoulos. Together they form the SPecial Advisory Committee to Earth - or SPACE team.On Earth the team soon discover that the human/Eridon half-castes left behind have managed to master their psionic powers and take control. The entire US has become a gigantic police state with the strongest psyker at the head. The mysterious General Frank Cassidy has been in charge for over a hundred years.To boost their powers PsiForce scientists created the Dodecahedron - a crude, grisly, but exceptional psionic enhancer. Only the strongest psykers can control it without being torn apart. It is so powerful it must be held on an alternate plane where only PsiForce officers can access it.Unfortunately the creation of such an abomination has attracted a deadly threat from the very edges of the universe. Beings that feed on psionic energy and swarm to worlds with an overpopulation of powerful psykers are coming, and there are enough of these psionovores to swallow the Earth and drain it dry.To defeat such monsters can only be accomplished if the psionic fascist General Cassidy and the SPACE team cooperate. But will all their combined mental powers be enough? Or will they need to resort to using the evil device that summoned these creatures in the first place?The Dodecahedron has the power to turn people into gods.Also available in the Eridon Chronicles series:Half-CasteTime Crystal 1 - The ConvergenceTime Crystal 2 - Delsaron's WorldTime Crystal 3 - The IcosahedronTime Crystal 4 - The SingularityRise of the Unmaker Past - Dawn of the NightbringerRise of the Unmaker Present - Zenith of the DaystoneRise of the Unmaker Future - Dusk of UncreationThe Mind Eaters Book 2 - The ChronopsykerThe Mind Eaters Book 3 - The Old Ones
| Author | : Lynnclaire Dennis |
| Publisher | : Newnes |
| Total Pages | : 602 |
| Release | : 2013-05-21 |
| Genre | : Mathematics |
| ISBN | : 0124046886 |
Mereon is an approach to the unification of knowledge that relies on whole systems modelling. It is a scientific framework that charts the sequential, emergent growth process of systems. A dynamic structure, Mereon provides insight and a new approach to General Systems Theory and non-linear science. Mereon evolved through a new approach to polyhedral geometry and topology that is related to the dynamics of the polyhedra. It is related to a large number of systems, physical, mathematical, and philosophical. In linking these systems, Mereon provides access to new relationships among them and combines geometric and process thinking. This book provides the fundamentals of such connections for an ongoing search for order, directionality, and diversity that is found in this unity. It is written in clear language that manages to connect diverse disciplines and in doing so, makes a complex system easily accessible and understandable. It will be of interest to mathematicians, geneticists, and all those interested in researching unity in science and astrobiology. Elaborates on several important aspects of General Systems Theory including nonlinearity. Each chapter is self-contained and explained relative to Mereon, providing references to scientific findings that are congruent with or expanded by Mereon. Offers a new way of modelling that can be applied across the sciences.
| Author | : Zhizhin, Gennadiy Vladimirovich |
| Publisher | : IGI Global |
| Total Pages | : 301 |
| Release | : 2018-08-03 |
| Genre | : Technology & Engineering |
| ISBN | : 1522569693 |
The majority of the chemical elements form chemical compounds with molecules of higher dimension (i.e., substantially exceeding three). This fact is very important for the analysis of molecular interactions in various areas: nanomedicine, nanotoxicology, and quantum biology. The Geometry of Higher-Dimensional Polytopes contains innovative research on the methods and applications of the structures of binary compounds. It explores the study of geometry polytopes from a higher-dimensional perspective, taking into account the features of polytopes that are models of chemical compounds. While highlighting topics including chemical compounds, symmetry transformation, and DNA structures, this book is ideally designed for researchers, academicians, and students seeking current research on dimensions present in binary compounds.
| Author | : Eva Schmidt |
| Publisher | : Springer |
| Total Pages | : 275 |
| Release | : 2015-07-06 |
| Genre | : Philosophy |
| ISBN | : 3319189026 |
The author defends nonconceptualism, the claim that perceptual experience is nonconceptual and has nonconceptual content. Continuing the heated and complex debate surrounding this topic over the past two decades, she offers a sustained defense of a novel version of the view, Modest Nonconceptualism, and provides a systematic overview of some of the central controversies in the debate. An explication of the notion of nonconceptual content and a distinction between nonconceptualist views of different strengths starts off the volume, then the author goes on to defend participants in the debate over nonconceptual content against the allegation that their failure to distinguish between a state view and a content view of (non)conceptualism leads to fatal problems for their views. Next, she makes a case for nonconceptualism by refining some of the central arguments for the view, such as the arguments from fineness of grain, from contradictory contents, from animal and infant perception, and from concept acquisition. Then, two central objections against nonconceptualism are rebutted in a novel way: the epistemological objection and the objection from objectivity. Modest Nonconceptualism allows for perceptual experiences to involve some conceptual elements. It emphasizes the relevance of concept employment for an understanding of conceptual and nonconceptual mental states and identifies the nonconceptual content of experience with scenario content. It insists on the possibility of genuine content-bearing perceptual experience without concept possession and is thus in line with the Autonomy Thesis. Finally, it includes an account of perceptual justification that relies on the external contents of experience and belief, yet is compatible with epistemological internalism.
| Author | : Kristopher Tapp |
| Publisher | : Springer Nature |
| Total Pages | : 263 |
| Release | : 2021-08-28 |
| Genre | : Mathematics |
| ISBN | : 3030516695 |
This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas. It includes many topics commonly found in sampler courses, like Platonic solids, Euler’s formula, irrational numbers, countable sets, permutations, and a proof of the Pythagorean Theorem. All of these topics serve a single compelling goal: understanding the mathematical patterns underlying the symmetry that we observe in the physical world around us. The exposition is engaging, precise and rigorous. The theorems are visually motivated with intuitive proofs appropriate for the intended audience. Students from all majors will enjoy the many beautiful topics herein, and will come to better appreciate the powerful cumulative nature of mathematics as these topics are woven together into a single fascinating story about the ways in which objects can be symmetric.
| Author | : Vaughn Climenhaga |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 442 |
| Release | : 2017-04-07 |
| Genre | : Mathematics |
| ISBN | : 1470434792 |
Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry, introducing some of the main ideas of transformation groups, algebraic topology, and geometric group theory. The first half of the book introduces basic notions of group theory and studies symmetry groups in various geometries, including Euclidean, projective, and hyperbolic. The classification of Euclidean isometries leads to results on regular polyhedra and polytopes; the study of symmetry groups using matrices leads to Lie groups and Lie algebras. The second half of the book explores ideas from algebraic topology and geometric group theory. The fundamental group appears as yet another group associated to a geometric object and turns out to be a symmetry group using covering spaces and deck transformations. In the other direction, Cayley graphs, planar models, and fundamental domains appear as geometric objects associated to groups. The final chapter discusses groups themselves as geometric objects, including a gentle introduction to Gromov's theorem on polynomial growth and Grigorchuk's example of intermediate growth. The book is accessible to undergraduate students (and anyone else) with a background in calculus, linear algebra, and basic real analysis, including topological notions of convergence and connectedness. This book is a result of the MASS course in algebra at Penn State University in the fall semester of 2009.
| Author | : Novello Tiago |
| Publisher | : Springer Nature |
| Total Pages | : 112 |
| Release | : 2022-05-31 |
| Genre | : Mathematics |
| ISBN | : 3031792122 |
This book explores the visualization of three-dimensional non-Euclidean spaces using ray-tracing techniques in Graphics Processing Unit (GPU). This is a trending topic in mathematical visualization that combines the mathematics areas of geometry and topology, with visualization concepts of computer graphics. Several conditions made this a special moment for such topic. On one hand, the development of mathematical research, computer graphics, and algorithms have provided the necessary theoretical framework. On the other hand, the evolution of the technologies and media allows us to be immersed in three-dimensional spaces using Virtual Reality. The content of this book serves both experts in the areas and students. Although this is a short book, it is self-contained since it considers all the ideas, motivations, references, and intuitive explanations of the required fundamental concepts.
| Author | : Kirsti Andersen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 837 |
| Release | : 2008-11-23 |
| Genre | : Mathematics |
| ISBN | : 0387489460 |
This review of literature on perspective constructions from the Renaissance through the 18th century covers 175 authors, emphasizing Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich. It treats such topics as the various methods of constructing perspective, the development of theories underlying the constructions, and the communication between mathematicians and artisans in these developments.
