The textbook provides both beginner and experienced CAD users with the math behind the CAD. The geometry tools introduced here help the reader exploit commercial CAD software to its fullest extent. In fact, the book enables the reader to go beyond what CAD software packages offer in their menus. Chapter 1 summarizes the basic Linear and Vector Algebra pertinent to vectors in 3D, with some novelties: the 2D form of the vector product and the manipulation of “larger" matrices and vectors by means of block-partitioning of larger arrays. In chapter 2 the relations among points, lines and curves in the plane are revised accordingly; the difference between curves representing functions and their geometric counterparts is emphasized. Geometric objects in 3D, namely, points, planes, lines and surfaces are the subject of chapter 3; of the latter, only quadrics are studied, to keep the discussion at an elementary level, but the interested reader is guided to the literature on splines. The concept of affine transformations, at the core of CAD software, is introduced in chapter 4, which includes applications of these transformations to the synthesis of curves and surfaces that would be extremely cumbersome to produce otherwise. The book, catering to various disciplines such as engineering, graphic design, animation and architecture, is kept discipline-independent, while including examples of interest to the various disciplines. Furthermore, the book can be an invaluable complement to undergraduate lectures on CAD.

This book explores various digital representation strategies that could change the future of wooden architectures by blending tradition and innovation. Composed of 61 chapters, written by 153 authors hailing from 5 continents, 24 countries and 69 research centers, it addresses advanced digital modeling, with a particular focus on solutions involving generative models and dynamic value, inherent to the relation between knowing how to draw and how to build. Thanks to the potential of computing, areas like parametric design and digital manufacturing are opening exciting new avenues for the future of construction. The book’s chapters are divided into five sections that connect digital wood design to integrated approaches and generative design; to model synthesis and morphological comprehension; to lessons learned from nature and material explorations; to constructive wisdom and implementation-related challenges; and to parametric transfigurations and morphological optimizations.

Geometric constructions have been a popular part of mathematics throughout history. The first chapter here is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never learned. The second chapter formalises Plato's game, and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, a compass, toothpicks, a ruler and dividers, a marked rule, or a tomahawk, ending in a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics, teaching a little geometry and a little algebra along the way. This is as much an algebra book as it is a geometry book, yet since all the algebra and geometry needed is developed within the text, very little mathematical background is required. This text has been class tested for several semesters with a master's level class for secondary teachers.

This new book helps students gain an appreciation of geometry and its importance in the history and development of mathematics. The material is presented in three parts. The first is devoted to Euclidean geometry. The second covers non-Euclidean geometry. The last part explores symmetry. Exercises and activities are interwoven with the text to enable them to explore geometry. The activities take advantage of geometric software so they'll gain a better understanding of its capabilities. Mathematics teachers will be able to use this material to create exciting and engaging projects in the classroom.

Tools for Design is intended to provide the user with an overview of computer aided design using two popular CAD software packages from Autodesk: AutoCAD and Autodesk Inventor. This book explores the strengths of each package and shows how they can be used in design, both separately and in combination with each other. What you'll learn How to create and dimension 2D multiview drawings using AutoCADHow to freehand sketch using axonometric, oblique and perspective projection techniquesHow to create 3D parametric models and 2D multiview drawings using Autodesk InventorHow to reuse design information between AutoCAD and Autodesk InventorHow to combine parts into assemblies including assembly modeling with a LEGO® MINDSTORMS® Education Base Set, with a TETRIX® kit and a VEX Robot KitHow to perform basic finite element stress analysis using Inventor Stress Analysis Module

Tools for Design is intended to provide the user with an overview of computer aided design using two popular CAD software packages from Autodesk: AutoCAD and Autodesk Inventor. This book explores the strengths of each package and shows how they can be used in design, both separately and in combination with each other.

Tools for Design is intended to provide the user with an overview of computer aided design using two popular CAD software packages from Autodesk: AutoCAD and Autodesk Inventor. This book explores the strengths of each package and show how they can be used in design, both separately and in combination with each other. What you'll learn How to create and dimension 2D multiview drawings using AutoCAD How to freehand sketch using axonometric, oblique and perspective projection techniques How to create 3D parametric models and 2D multiview drawings using Autodesk Inventor How to reuse design information between AutoCAD and Autodesk Inventor How to combine parts into assemblies including assembly modeling with a LEGO® MINDSTORMS® Education Base Set with TETRIX® kit and a VEX Robot Kit How to perform basic finite element stress analysis using Inventor Stress Analysis Module

Tools for Design is intended to provide the user with an overview of computer aided design using two popular CAD software packages from Autodesk: AutoCAD and Autodesk Inventor. This book explores the strengths of each package and shows how they can be used in design, both separately and in combination with each other. What you'll learn How to create and dimension 2D multiview drawings using AutoCADHow to freehand sketch using axonometric, oblique and perspective projection techniquesHow to create 3D parametric models and 2D multiview drawings using Autodesk InventorHow to reuse design information between AutoCAD and Autodesk InventorHow to combine parts into assemblies including assembly modeling with a LEGO® MINDSTORMS® Education Base Set, with a TETRIX® kit and a VEX Robot KitHow to perform basic finite element stress analysis using Inventor Stress Analysis ModuleWho this book is for This book is designed for high school and college age students wanting to learn the fundamentals of computer aided design with AutoCAD and Inventor and how the two can be used together. No prior CAD experience is required.

Tools for Design is intended to provide you with an overview of computer aided design using two popular CAD software packages from Autodesk: AutoCAD and Autodesk Inventor. This book explores the strengths of each package and shows how they can be used in design, both separately and in combination with each other. What you'll learn How to create and dimension 2D multiview drawings using AutoCAD How to freehand sketch using axonometric, oblique and perspective projection techniques How to create 3D parametric models and 2D multiview drawings using Autodesk Inventor How to reuse design information between AutoCAD and Autodesk Inventor How to combine parts into assemblies including assembly modeling with a LEGO® MINDSTORMS® Education Base Set, with a TETRIX® kit and a VEX Robot Kit How to perform basic finite element stress analysis using Inventor Stress Analysis Module Who this book is for This book is designed for high school and college age students wanting to learn the fundamentals of computer aided design with AutoCAD and Inventor and how the two can be used together. No prior CAD experience is required.

Tools for Design is intended to provide the user with an overview of computer aided design using two popular CAD software packages from Autodesk: AutoCAD and Autodesk Inventor. This book explores the strengths of each package and shows how they can be used in design, both separately and in combination with each other. What you'll learn • How to create and dimension 2D multiview drawings using AutoCAD • How to freehand sketch using axonometric, oblique and perspective projection techniques • How to create 3D parametric models and 2D multiview drawings using Autodesk Inventor • How to reuse design information between AutoCAD and Autodesk Inventor • How to combine parts into assemblies including assembly modeling with a LEGO® MINDSTORMS® Education Base Set, with a TETRIX® kit and a VEX Robot Kit • How to perform basic finite element stress analysis using Inventor Stress Analysis Module Who this book is for This book is designed for high school and college age students wanting to learn the fundamentals of computer aided design with AutoCAD and Inventor and how the two can be used together. No prior CAD experience is required.

Tools for Design is intended to provide the user with an overview of computer aided design using two popular CAD software packages from Autodesk: AutoCAD and Autodesk Inventor. This book explores the strengths of each package and show how they can be used in design, both separately and in combination with each other. What you'll learn How to create and dimension 2D multiview drawings using AutoCAD How to freehand sketch using axonometric, oblique and perspective projection techniques How to create 3D parametric models and 2D multiview drawings using Autodesk Inventor How to reuse design information between AutoCAD and Autodesk Inventor How to combine parts into assemblies including assembly modeling with a LEGO® MINDSTORMS® Education Base Set with TETRIX® kit and a VEX Robot Kit How to perform basic finite element stress analysis using Inventor Stress Analysis Module Who this book is for This book is designed for high school and college age students wanting to learn the fundamentals of computer aided design with AutoCAD and Inventor and how the two can be used together. No prior CAD experience is required.