Introduction. Folding Equilateral Triangles in a Square. Origami Trigonometry. Dividing a Length into Equal Nths: Fujimoto Approximation. Dividing a Length into Equal Nths Exactly. Origami Helix. Folding a Parabola. Can Origami Trisect an Angle? Solving Cubic Equations. Lill’s Method. Folding Strips into Knots. Haga’s Origamics. Modular Star Ring. Folding a Butterfly Bomb. Molly’s Hexahedron. Business Card Modulars. Five Intersecting Tetrahedra. Making Origami Buckyballs. Making Origami Tori. Modular Menger Sponge. Folding and Coloring a Crane. Exploring Flat Vertex Folds.Impossible Crease Patterns. Folding a Square Twist. Counting Flat Folds. Self-Similar Wave. Matrix Model of Flat Vertex Folds. Matrix Model of 3D Vertex Folds. Origami and Homomorphisms. Rigid Folds 1: Gaussian Curvature. Rigid Folds 2: Spherical Trigonometry. Appendix. Bibliography. Index.
Thomas Hull
Praise for the First Edition:For anyone who wants to enliven their
class activities, this book gives wonderfully clear instructions
for hands-on pager-folding activities, and specific suggestions as
how to encourage students to ask questions, and to answer them, in
the spirit of really ‘doing mathematics’ … I will use it next time
I teach the Polya Enumeration Theorem.
—Mathematical Reviews, February 2008Is it possible to use origami
in the higher level mathematics classroom? An affirmative answer is
given by Thomas Hull’s book Project Origami: Activities for
Exploring Mathematics. Based on Hull’s extensive experience of
combining origami and mathematics teaching over the last fifteen
years, it aims to help the teacher bring origami into the
mathematics classroom, at the high school, college, and university
level.
—Helena Verrill, AMS Notices, May 2007Thomas Hull … is one of the
country’s foremost researchers in origami mathematics—a subject
making the slow transition from the ghetto of recreational math,
where Sudoku and Rubik’s Cube dwell, to the rarified air of
legitimate research topic … The fun part is watching the mash-up of
intellectual analysis and paper creativity … but what really drives
him, he says, is understanding what’s happening underneath each
figure.
—David Brooks, Nashuatelegraph.com, May 2007In his efforts to
collect everything that he could find linking origami and math (and
in his own research efforts), Hull has discovered not only the
obvious links between origami and geometry but also intriguing
intersections of origami with other fields of mathematics, such as
algebra, number theory, and combinatorics.
—Ivars Peterson, Science News, June 2006Overall, this book is an
excellent resource for mathematics educators who would like to
include some hands-on experimentation in their teaching.
—Steven Frankel, MAA Reviews, July 2006This is probably the most
comprehensive study of mathematical paperfolding produced in book
form to date. … Along with theorems and formulas, there are copious
notes for instructors, making the book more a teachers’ manual than
a recreational pursuit. Even so it will reward a study even by
those wishing solely to produce decorative forms.
—John Cunliffe, ELFA and British Origami SocietyThis book shows you
how and explains how! … The book is neatly presented and is
designed to work as a sourcebook for teachers wishing to use
origami in the classroom, but is easily accessible to anyone.
—Dennis Walker, British Origami SocietyThomas Hull has written a
truly wonderful book … Project Origami is full of surprises and
depth. Hull is passionate about his work and it shines through in
this text … Concrete connections to curriculum (upper high-school
levels, undergraduate levels) are made clear, highlighting the
relevance and importance of this material to mathematics education.
Every teacher should take a hold of this book … Hull shares the joy
of doing and exploring real mathematics and provides a route that
all can pursue.
—James Tanton
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