MATHEMATICS AND ORIGAMI

MATHEMATICSMATHEMATICSMATHEMATICSMATHEMATICS AND AND AND AND ORIGAMIORIGAMIORIGAMIORIGAMI WITH COMPLIMENTS TO THE SPANISH ORIGAM ...

This book has been written initially by the author for the SPANISH ORIGAMI ASOCIATION. ...

This book may not be reproduced by any means neither totally nor partially without prior written permission of the Author. All r ...

To my friend Jesús Voyer because of his abnegation to correct and enrich this book. ...

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I INDEX 1 Origami resources to deal with points, straight lines and surfaces ............................. 1 Symmetry. Transport ...

II 8 Squares. Triangles. Various ......................................................................................... 50 Sq ...

III 9.18 Division of a paper strip by means of binomial numeration....................................... 98 10 Regular convex p ...

IV 16 Flattening: relation between dihedral and plane angles ............................................... 162 17 Paper surfac ...

V 18.11 Icosahedron ............................................................................................................ ...

VI SYMBOLS Valley fold .............................................................. Mountain fold ............................ ...

VII PREFACE I must admit my difficulty to explain the title given to this book. As a matter of fact, it has been an exercise to ...

VIII Origami receives more sophisticated geometrical help to design folding bases. In passing, I tackle this matter when dealing ...

IX In connection with the above mentioned demonstrations I have to say that not always are shown all their steps, in some occasi ...

X OVER THE AUTHOR He is a member of the AEP (Spanish Origami Association) and Dr. Electrome- chanical Engineer (Madrid Universit ...

Mathematics and Origami ORIGAMI RESOURCES TO DEAL WITH POINTS, STRAIGHT LINES AND SUR- FACES. 1.1. OBTENTION OF POINTS. POINTS ...

Jesús de la Peña Hernández 1.2. OBTENTION OF STRAIGHT LINES (valley, mountain) 1.2.1. THROUGH ONE POINT: infinity, a) 1.2.2. THR ...

Mathematics and Origami Once the folding line is obtained, it makes no difference to fold the point over the edge or viceversa. ...

Jesús de la Peña Hernández 1.2.9 PERPENDICULAR LINES. 1- If edge a is folded over itself, the folding line becomes perpendicular ...

Mathematics and Origami 1.3 RELATION WITH SURFACES 1.3.1 EULER CHARACTERISTIC APPLIED TO THE PLANE If both figures are obtained ...