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While piloting his spaceship through the skies, Captain Invincible encounters three-dimensional shapes, including cubes, cylinders, and pyramids.
Solid Shape gives engineers and applied scientists access to the extensive mathematical literature on three dimensional shapes. Drawing on the author's deep and personal understanding of three-dimensional space, it adopts an intuitive visual approach designed to develop heuristic tools of real use in applied contexts.Increasing activity in such areas as computer aided design and robotics calls for sophisticated methods to characterize solid objects. A wealth of mathematical research exists that can greatly facilitate this work yet engineers have continued to "reinvent the wheel" as they grapple with problems in three dimensional geometry. Solid Shape bridges the gap that now exists between technical and modern geometry and shape theory or computer vision, offering engineers a new way to develop the intuitive feel for behavior of a system under varying situations without learning the mathematicians' formal proofs. Reliance on descriptive geometry rather than analysis and on representations most easily implemented on microcomputers reinforces this emphasis on transforming the theoretical to the practical.Chapters cover shape and space, Euclidean space, curved submanifolds, curves, local patches, global patches, applications in ecological optics, morphogenesis, shape in flux, and flux models. A final chapter on literature research and an appendix on how to draw and use diagrams invite readers to follow their own pursuits in threedimensional shape.Jan J. Koenderinck is Professor in the Department of Physics and Astronomy at Utrecht University. Solid Shape is included in the Artificial Intelligence series, edited by Patrick Winston, Michael Brady, and Daniel Bobrow
SOLID SHAPES TEACHING GUIDE
You see solid shapes everywhere! Learn how to identify, name, and describe solid shapes.
Diamonds, cubes, rings, and cylinders—shapes are all around us. How many shapes can you find pictured in this book?
Some solid shapes stack. Some solid shapes roll. Which solid shapes can you use to build?
coloring, Cut and Fold 3D shapes for kids Learn 2 dimensional and 3 dimensional shapes through fun shape characters. See examples of everyday objects that reflect the shapes. The ideal learning book for toddlers, children in preschool, kindergarten or a higher grade, for ages 2 through to 10 This fun and educational children's shapes picture book helps teach kids 2 and 3 dimensional shapes through fun shape characters and everyday objects.Find the suggested shape on the first page and then turn the page to reveal the answer to the picture puzzle.
Spectral Geometry of Shapes presents unique shape analysis approaches based on shape spectrum in differential geometry. It provides insights on how to develop geometry-based methods for 3D shape analysis. The book is an ideal learning resource for graduate students and researchers in computer science, computer engineering and applied mathematics who have an interest in 3D shape analysis, shape motion analysis, image analysis, medical image analysis, computer vision and computer graphics. Due to the rapid advancement of 3D acquisition technologies there has been a big increase in 3D shape data that requires a variety of shape analysis methods, hence the need for this comprehensive resource.
This entertaining introduction to shapes and geometry has over 125 flaps to lift. It's jam-packed with information about flat and solid shapes, angles, patterns and more, along with fun puzzles and challenges to practise key ideas. Lively illustrations make abstract ideas and concepts easy to grasp. Part of Usborne's successful Lift-the-flap Maths series, which also includes: Lift-the-flap Times Tables, Lift-the-flap Addition and Subtraction, Lift-the-flap Multiplying and Dividing, Lift-the-flap Fractions and Decimals and Lift-the-flap Measuring Things. Written in consultation with a primary maths expert and ideal for ages 5-7, this supports school learning (UK Key Stage 1).
Early Readers Investigate What Matter Is.