eBook - PDF
Origami Polyhedra Design
John Montroll
This is a test
Share book
- 302 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Origami Polyhedra Design
John Montroll
Book details
Book preview
Table of contents
Citations
About This Book
This book unravels the mystery of Geometry in Origami with a unique approach: 64 Polyhedra designs, each made from a single square sheet of paper, no cuts, no glue; each polyhedron the largest possible from the starting size of square and each having an ingenious locking mechanism to hold its shape. The author covers the five Platonic solids (cube,
Frequently asked questions
How do I cancel my subscription?
Can/how do I download books?
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
What is the difference between the pricing plans?
Both plans give you full access to the library and all of Perlego’s features. The only differences are the price and subscription period: With the annual plan you’ll save around 30% compared to 12 months on the monthly plan.
What is Perlego?
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Do you support text-to-speech?
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Is Origami Polyhedra Design an online PDF/ePUB?
Yes, you can access Origami Polyhedra Design by John Montroll in PDF and/or ePUB format, as well as other popular books in Matemáticas & Matemáticas general. We have over one million books available in our catalogue for you to explore.
Information
Designing
Origami
Polyhedra
Part
I
3
Polyhedra
Overview
Polyhedra
are
three-dimensional
shapes
composed
of
polygons,
two-dimensional
shapes
composed
of
straight
lines.
Here
we
present
some
of
the
names
associated
with
polyhedra.
Concave
Polyhedra
If
there
are
any
lines
connecting
two
points
on
the
surface
that
are
outside
the
polyhedron
(as
in
the
first
picture
below),
even
partially,
then
the
polyhedron
is
concave,
or
nonconvex.
Sunken
Cube
(Sunk)
Platonic
Solids
A
Platonic
solid
is
a
convex
polyhedron
composed
of
identical
regular
polygons
with
identical
vertices.
Thus,
all
of
the
edges
are
the
same
length,
the
same
number
of
edges
meet
at
each
vertex,
and
all
the
faces
are
the
same
shape.
There
are
five
Platonic
solids:
the
tetrahedron,
cube,
octahedron,
icosahedron,
and
dodecahedron.
Tetrahedron
Cubehemioctahedron
(Dimpled)
Stellated
Cube
(Star)
Convex
Polyhedra
Take
any
two
points
on
the
surface
of
a
polyhedron
and
picture
a
line
connecting
them
(as
in
the
first
picture
below).
A
polyhedron
is
convex
if
all
such
lines
are
either
on
the
surface
of
the
polyhedron
or
are
completely
inside
the
polyhedron.
Icosahedron
Cube
Octahedron
Icosahedron
Dodecahedron
Hexagonal
Dipyramid
Pentagonal
Pyramid