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If You Were A Polygon

Author: Marcie Aboff
Publisher: Capstone
ISBN: 1404855122
Size: 30.97 MB
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Describes the polygon shape and different ways to use it.


Publisher: Capstone
ISBN: 1429677252
Size: 43.25 MB
Format: PDF, ePub, Mobi
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If You Were A Quadrilateral

Author: Molly Blaisdell
Publisher: Capstone
ISBN: 1404856900
Size: 59.58 MB
Format: PDF, ePub, Docs
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Describes the properties of quadrilaterals in mathematics, including squares and rectangles, and displays everyday items that are quadrilaterals.

If You Were A Triangle

Author: Marcie Aboff
Publisher: Capstone
ISBN: 1404856889
Size: 66.35 MB
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Describes the properties of triangles in mathematics and everyday objects shaped like triangles.

Essential Skills For 3d Modeling Rendering And Animation

Author: Nicholas Bernhardt Zeman
Publisher: CRC Press
ISBN: 1482224143
Size: 46.19 MB
Format: PDF, ePub
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The Key to Fully Understanding the Basics of a 3D World Prominently used in games, movies, and on television, 3D graphics are tools of creation used to enhance how material and light come together to manipulate objects in 3D space. A game-changer written for the non-technical mind, Essential Skills for 3D Modeling, Rendering, and Animation examines the complexities of 3D computer-generated art, and outlines the basics of how things work and are used in 3D. This text describes the three cornerstones of 3D—modeling, rendering, and animation; focuses on common elements; and provides a full understanding of the foundational concepts involved. Detailing the skills and knowledge needed to become an accomplished 3D artist, it includes step-by-step instruction with ample examples, and allows absolute beginners to move at their own pace. Master Anything You Are Tasked to Model The author incorporates historical information—presenting a contextual understanding of the various techniques and methodologies in their historical place. Each chapter builds on the fundamentals of 3D computer graphics and augments skills based on the concepts, enabling the student to learn both theory and application simultaneously. The book highlights two basic geometry types, polygons and NURBS surfaces, showing the student basic modeling techniques with both. While more techniques are available, an artist can cover any model by grasping these basic techniques. Supplies examples that are specifically taken from Autodesk Maya Contains exercises that are meant to be used in conjunction with the training videos on the website Includes a documented history of computer graphics Essential Skills for 3D Modeling, Rendering, and Animation offers a fundamental understanding of the mechanics of 3D graphics to modelers, animators, texture artists, render artists, game developers, and production artists, as well as educators teaching an undergrad or tech course in 3D animation.

The Lighter Side Of Mathematics

Author: Richard K. Guy
Publisher: Cambridge University Press
ISBN: 9780883855164
Size: 28.54 MB
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A collection of wonderful articles on recreational mathematics by a distinguished group of authors.

Mathematics In Fun And In Earnest

Author: Nathan Altshiller-Court
Publisher: Courier Corporation
ISBN: 0486449688
Size: 44.41 MB
Format: PDF, ePub, Docs
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A world-renowned mathematician takes a lighthearted look at the philosophy, form, and re-creations of mathematics, discussing the science's charm as well as its utility and historical role. 1958 edition.

Serious Fun With Flexagons

Author: L.P. Pook
Publisher: Springer Science & Business Media
ISBN: 9789048125036
Size: 18.24 MB
Format: PDF, Kindle
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A flexagon is a motion structure that has the appearance of a ring of hinged polygons. It can be flexed to display different pairs of faces, usually in cyclic order. Flexagons can be appreciated as toys or puzzles, as a recreational mathematics topic, and as the subject of serious mathematical study. Workable paper models of flexagons are easy to make and entertaining to manipulate. The mathematics of flexagons is complex, and how a flexagon works is not immediately obvious on examination of a paper model. Recent geometric analysis, included in the book, has improved theoretical understanding of flexagons, especially relationships between different types. This profusely illustrated book is arranged in a logical order appropriate for a textbook on the geometry of flexagons. It is written so that it can be enjoyed at both the recreational mathematics level, and at the serious mathematics level. The only prerequisite is some knowledge of elementary geometry, including properties of polygons. A feature of the book is a compendium of over 100 nets for making paper models of some of the more interesting flexagons, chosen to complement the text. These are accurately drawn and reproduced at half full size. Many of the nets have not previously been published. Instructions for assembling and manipulating the flexagons are included.

An Integrated Introduction To Computer Graphics And Geometric Modeling

Author: Ronald Goldman
Publisher: CRC Press
ISBN: 1439803358
Size: 49.56 MB
Format: PDF, Mobi
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Taking a novel, more appealing approach than current texts, An Integrated Introduction to Computer Graphics and Geometric Modeling focuses on graphics, modeling, and mathematical methods, including ray tracing, polygon shading, radiosity, fractals, freeform curves and surfaces, vector methods, and transformation techniques. The author begins with fractals, rather than the typical line-drawing algorithms found in many standard texts. He also brings the turtle back from obscurity to introduce several major concepts in computer graphics. Supplying the mathematical foundations, the book covers linear algebra topics, such as vector geometry and algebra, affine and projective spaces, affine maps, projective transformations, matrices, and quaternions. The main graphics areas explored include reflection and refraction, recursive ray tracing, radiosity, illumination models, polygon shading, and hidden surface procedures. The book also discusses geometric modeling, including planes, polygons, spheres, quadrics, algebraic and parametric curves and surfaces, constructive solid geometry, boundary files, octrees, interpolation, approximation, Bezier and B-spline methods, fractal algorithms, and subdivision techniques. Making the material accessible and relevant for years to come, the text avoids descriptions of current graphics hardware and special programming languages. Instead, it presents graphics algorithms based on well-established physical models of light and cogent mathematical methods.