Skip to content
The Magic Theorem
The Magic Theorem

A greatly-expanded, much-abridged edition of The Symmetries of Things

  • Buy This Book!
    • See some art
    • What people are saying
    • Press about The Magic Theorem
  • Do Stuff
    • Things to do with The Magic Theorem
    • Join us for a Symmetry Stroll!
  • Learn More
    • What is the Magic Theorem?
    • The authors
    • Errata
    • Contact us
The Magic Theorem

A greatly-expanded, much-abridged edition of The Symmetries of Things

The Magic Theorem Errata

We tried our best, but here are some errors we’ve found. We hope you won’t find more but of course you will. Please send them to us. Thanks!

p.0John Conway was born in 1937! This is a kind of sloppy error that we think he would have enjoyed. It is correct in the preface.
p. 5I don’t know why some of these dots are missing in print, and more missing elsewhere. Should be fixed now.
p. 11In the answers for page 3, one of the snowflakes got the wrong signature; it’s *2.
p.78Can you explain the “Mirror Paradox” ? … The real toy is left -handed and its image directly across in the back of the kaleidoscope is too.
p. 82The signature of a basketball, asked for on page 69, was omitted from the answers. It is 2*2. (If you are surprised that this is not *222, you are hardly the first, but find an actual basketball and take a look!)
p.111A disk always has Euler characteristic $1$: the very simplest map has 1 face, 1 edge, and 1 vertex, for V-E+F= 1-1+1=1, but any map will do.
p. 126In the text at lower right: Below we draw another way to visualize the crosscap. At below left in the figure, a Möbius band … middle. Above this, a disk has been arranged…
p. 136As we saw on at the bottom of page 134, when we split open a 2-fold cone…
p. 140There are ten symmetry types that cannot be tie-dyed without cutting the fabric. The condition is incorrectly stated: the orbifold must be embeddable and there can be no cone points.
p. 143Exercise: In Exercise 2 on page 128, you may verify…
p. 143For example, the planar pattern at the beginning of Chapter 3 has signature 22x. Among its symmetries are two kinds of 2-fold rotation, one kind of glide reflection with a horizontal glide axis, and another kind with a vertical one.
….The two different models show the results of
unzipping the orbifold along different kinds of glide
axes.
p. 156The tiling at the bottom left of the page has symmetry type 32x only if the colors are ignored. In the technical language of Chapter 19 of The Symmetries of Things the uncolored tiling is absolute. However, as a colored tiling, it is relative and has type 3322.
p.165…The pattern at lower left is trickier — the blue and the green squares cannot be interchanged, but polygons of the same color can be. With mirrors along the rows of green squares, the type is 3222*.
p. 169In the illustration credits for p.45, it’s the Queensboro Bridge.

The Magic Theorem

Contact us

Errata

Buy this book

©2026 The Magic Theorem | WordPress Theme by SuperbThemes