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Books > Health, Home & Family > Handicrafts > Paper crafts > Paper folding, origami
Anyone browsing at the stationery store will see an incredible
array of pop-up cards available for any occasion. The workings of
pop-up cards and pop-up books can be remarkably intricate. Behind
such designs lies beautiful geometry involving the intersection of
circles, cones, and spheres, the movements of linkages, and other
constructions. The geometry can be modelled by algebraic equations,
whose solutions explain the dynamics. For example, several pop-up
motions rely on the intersection of three spheres, a computation
made every second for GPS location. Connecting the motions of the
card structures with the algebra and geometry reveals abstract
mathematics performing tangible calculations. Beginning with the
nephroid in the 19th-century, the mathematics of pop-up design is
now at the frontiers of rigid origami and algorithmic computational
complexity. All topics are accessible to those familiar with
high-school mathematics; no calculus required. Explanations are
supplemented by 140+ figures and 20 animations.
Find out Origami with Explanations: Fun with Folding and
MathOrigami, paper folding, originated hundreds of years ago in
China and Japan, with independent discovery across the world. Today
people do origami, create new models, share their work, and
discover mathematical principles. This book continues the approach
of Origami with Explanations; but is independent, with basic
instructions repeated. Carefully written instructions, using photos
and diagrams, will turn you into a successful folder and stimulate
your own creativity. The models in this book include action models,
money folds, beautiful and useful containers, and modular origami.
Mathematics topics touched on include improving estimates,
tessellations, mathematical induction, flat-foldability, and
fold-and-cut. The Explanations section provide insight into the
origami and introduce or re-introduce you to basic and advanced
subjects in mathematics.
Find out Origami with Explanations: Fun with Folding and
MathOrigami, paper folding, originated hundreds of years ago in
China and Japan, with independent discovery across the world. Today
people do origami, create new models, share their work, and
discover mathematical principles. This book continues the approach
of Origami with Explanations; but is independent, with basic
instructions repeated. Carefully written instructions, using photos
and diagrams, will turn you into a successful folder and stimulate
your own creativity. The models in this book include action models,
money folds, beautiful and useful containers, and modular origami.
Mathematics topics touched on include improving estimates,
tessellations, mathematical induction, flat-foldability, and
fold-and-cut. The Explanations section provide insight into the
origami and introduce or re-introduce you to basic and advanced
subjects in mathematics.
Find out More Origami with Explanations: Fun with Folding and
MathOrigami, paper folding, originated hundreds of years ago in
China and Japan, with independent discovery and activity across the
world. The most familiar origami models are the crane and the
flapping bird. This book will introduce you to origami, starting
with a jumping frog and including traditional and modern models.
Carefully written instructions, using photos and diagrams, will
show you the main origami bases, turn you into a successful folder
and stimulate your own creativity. Explanations will include
attention to spatial relations, geometry, algebra, and pattern
finding. The explanations provide insight into the origami while
the folding will help your understanding of mathematics.
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