Lang, Origami and Geometric Constructions Origami and Geometric Constructions 1 Lang, Origami and Geometric Constructions Introduction
نویسنده
چکیده
By Robert J. Lang Copyright ©1996–2015. All rights reserved. Introduction ................................................................................................................................... 3 Preliminaries and Definitions ...................................................................................................... 3 Binary Divisions ............................................................................................................................ 5 Binary Folding Algorithm ........................................................................................................ 6 Binary Approximations .......................................................................................................... 10 Rational Fractions ....................................................................................................................... 13 Crossing Diagonals ................................................................................................................. 13 Fujimoto’s Construction ........................................................................................................ 17 Noma’s Method ....................................................................................................................... 20 Haga’s Construction ............................................................................................................... 22 Irrational Proportions ................................................................................................................ 25 Continued Fractions ............................................................................................................... 25 Quadratic Surds ...................................................................................................................... 30 Angle Divisions ........................................................................................................................ 35 Axiomatic Origami ...................................................................................................................... 42 Preliminaries ........................................................................................................................... 45 Folding ..................................................................................................................................... 47 Alignments ............................................................................................................................... 48 Bringing a point to a point P! P .................................................................................... 48 Bringing a point onto a line ( P! L ) ................................................................................ 48 Bringing one line to another line ( L! L ) ........................................................................ 49
منابع مشابه
Lang, Origami and Geometric Constructions Origami and Geometric Constructions 1 Bringing a Point to a Point Bringing a Point onto a Line ( Bringing One Line to Another Line ( Lang, Origami and Geometric Constructions Introduction
By Robert J. Lang Copyright ©1996–2010. All rights reserved. Introduction................................................................................................................................... 3 Preliminaries and Definitions ...................................................................................................... 3 Binary Divisions .........................................
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