The Octagonal PETs
Richard Evan
Reading Time
at 250 WPM3h 32m
The average reader, reading at a speed of 250 WPM, would take 3h 32m to read The Octagonal PETs.
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8
days at 30 min/day
212
total minutes
The Octagonal PETs
by Richard Evan
Published
2014
Publisher
American Mathematical Society
Pages
212
ISBN-13
9781470415228
Description
A polytope exchange transformation is a (discontinuous) map from a polytope to itself that is a translation wherever it is defined. The 1-dimensional examples, interval exchange transformations, have been studied fruitfully for many years and have deep connections to other areas of mathematics, such as Teichmüller theory. This book introduces a general method for constructing polytope exchange transformations in higher dimensions and then studies the simplest example of the construction in detail. The simplest case is a 1-parameter family of polygon exchange transformations that turns out to be closely related to outer billiards on semi-regular octagons. The 1-parameter family admits a complete renormalization scheme, and this structure allows for a fairly complete analysis both of the system and of outer billiards on semi-regular octagons. The material in this book was discovered through computer experimentation. On the other hand, the proofs are traditional, except for a few rigorous computer-assisted calculations.
Subjects
Regular polytopes
Abstract regular polytopes
Regular complex polytopes
Convex polytopes
Homographies, quaternions, and rotations
Geometry of Higher-Dimensional Polytopes
Frequently Asked Questions
How many pages are in The Octagonal PETs?
This edition of The Octagonal PETs has approximately 212 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read The Octagonal PETs?
For most readers, The Octagonal PETs typically takes between 4h 25m and 2h 57m to complete. This is based on the book's length of approximately 53,000 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 3h 32m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 8 days • Estimated word count: 53,000 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of The Octagonal PETs?
The estimated word count for The Octagonal PETs is approximately 53,000 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of The Octagonal PETs?
The Octagonal PETs was written by Richard Evan.
When was The Octagonal PETs published?
The publication date for this specific edition is 2014. The original work may have been published on a different date.