• Art and Sculpture Book
  • Calculus Book
  • Dance Book
  • Games and Puzzles Book
  • Geometry Book
  • Knot Theory Book
  • Music Book
  • Number Theory Book
  • Patterns Book
  • Infinite Book
  • Truth, Reasoning, Certainty, and Proof Book

Topic Index: Transformational Geometry

Currently, our books are written with a semester long course in mind. However, many of the individual chapters from different books can be grouped together to create a semester long course with a variety of topics or they can be used to supplement a topic in an exisiting course. To use this topic index, click a heading below to view the specific book chapter(s) featuring a given topic.

Discovering the Art of Mathematics: Art & Sculpture

  • The Magical Möbius Band: Cultural Icon and Engineering Marvel
  • Flexagons, Magic, Genius, and the Nobel Prize

Discovering the Art of Mathematics: Dance

  • Symmetry in Mathematics and Dance

Discovering the Art of Mathematics: Games & Puzzles

  • Rubik's Cube
  • Straight-cut Origami

Discovering the Art of Mathematics: Geometry

  • Inbetween the Dimensions — Fractals

Discovering the Art of Mathematics: Patterns

  • Patterns: Linear and Arithmetic
  • Circles, Stars, Gears, and Unity

Discovering the Art of Mathematics: Calculus

  • The Banach—Tarski Paradox