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Nonstandard Notebook

Mathematically Ruled Pages for Unruly Thoughts

With a Foreword by Ben Orlin
A revolutionary notebook that challenges us to play outside (and with) the lines.
 
A standard notebook displays page after page of horizontal lines. But what if we break the pattern? What if the ruled pages grew unruly? In this Nonstandard Notebook, lines twist, fragment, curve, and crisscross in beautiful formations. Each sheet is a distinctive work of imagination, asking us to draw, doodle, and journal in the same spirit.
 
Page after page, as we journey from lines to parabolas to waves, deep questions arise—about form, art, and mathematics. How do we harness the infinite? Why do patterns permeate nature? What are the limitations and possibilities of human vision? Nonstandard Notebook explores these questions and more through its provocative and inspirational images, each displayed with the mathematics that generated it. We see how straight lines can form fractal crenellations, how circles can disrupt and unify, and how waves and scaling can form complex landscapes (or even famous faces). Created by mathematicians, educators, and math popularizers Tim Chartier and Amy Langville, and with a foreword from Ben Orlin (bestselling author of Math with Bad Drawings), Nonstandard Notebook shows that rules—both the rules of mathematics and the rules of a notebook—do not mark the end of creativity, but the beginning.

See a website for the book that includes resources to create your own unruly pages.


208 pages | 177 halftones | 5 1/2 x 8 1/2 | © 2024

Mathematics and Statistics

Reviews

"This is what every math book should be—an invitation to creativity and interaction. It makes my mathematical heart leap with joy. I need to buy many copies so that I can keep one copy to stare at but have several to use as actual notebooks in different ways, not to mention give them to everyone I know."

Eugenia Cheng, author of the Los Angeles Times Book Prize–winning "Is Math Real?"

“I love the Nonstandard Notebook! Is it meditation or math? Both, really, and the result is pretty close to enlightenment.”

Larry Gonick, New York Times–best-selling author of "The Cartoon Guide to Geometry"

"This project reveals how joy and wonder can be both subtle and profound. The simple daily delight of writing, yet with new structure, might make you think about things you never thought before. In this notebook-artbook, Chartier and Langville take us on a surprising tour of the graceful glory and the provocative possibilities of lines!  Backgrounds, when gently foregrounded, help us see life and humanness in the mathematics of simple things. As I beheld each page, all I kept thinking was how much fun it would be to scribe my thoughts here! What new contemplations might it inspire?"

Francis Su, author of "Mathematics for Human Flourishing"

“What matters most is the space left blank. All the mathematics, all the artistry—it’s only there as fodder for your imagination. . . . The pencil is yours.”

Ben Orlin, best-selling author of "Math with Bad Drawings," from the foreword

Table of Contents

Foreword
Introduction
1 Lines: the wisps of structure
2 Parabolas: residues of motion
3 Polygons: the molecules of shape
4 Circles: the ripples of distance
5 Waves: the rhythms of nature
6 Limits: tales of striving
7 Rotation: dizzying symmetry
8 Scaling: the rhyme of large and small
9 Polar: the world of the compass rose
10 Pathways: parametric footprints
11 Randomness: serendipity through chaos
12 Third Dimension: the paradox of paper
Closing Lines

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