Cambridge University Press. xii+129 pages, 143 figures. March 2022.

• Review in AMS Notices Jan 2023, p.122: Link to Notices PDF.
• MAA Review Jul 2022: Link.
• Mathematical Intelligencer review by Richard Hammack, Vol.47, pp.100-101, 2024: Link.
• Math Horizons review by Richard Hammack, 32:(1) 28-28, 2024. Link.

Amazon paperback link

ISBN 978-1-009-09840-3 Hardback
ISBN 978-1-009-09626-3 Paperback

• Updates
• Animations
• Templates
• Errata

Updates

• Japanese translation plublished June 2025: Link.
• The five Platonic solids: 4-minute YouTube video by Richard Hammack showing his designs for pop-ups of each of the five Platonic solids. This is in response to my statement (Chapter 5, p.59): "Alas, as far as we know, this has not been achieved." Now it has!

Pop-Up Animated GIFs

A click on a thumbnail will run an animated GIF in a new browser window/tab. To repeat the animation, refresh the browser window.

All animations were made with Mathematica.

Chapter 1
Parallel Folds
Letter T
Tent
Recursive Rhomb
Chapter 2
V-fold Median
Y-Motion
Y-Motion & Sphere Sc (3 MB)
Rotary Motion
Rotary Motion (top view)
Chapter 3
Knight's Visor
Knight's Visor geometry (2 MB)
Chapter 4
Pop-Up Spinner [Akira Nishihara]
Minimal Spinner
Chapter 5
Cube Flattening
Cube 180
Cube180 Arcs
Cube 90
Octahedron
Octahedron Tracks
Pop-up Regular Tetrahedron
Two Tetrahedra
Chapter 6
Linkage Shear 2D
Polygon 2D [ADD+13]
Nested V 4-chains
Orthogonal Polyhedron [ADD+13]

[ADD+13]: Abel, Z. R., E. D. Demaine, M. L. Demaine, S. C. Eisenstat, A. Lubiw, A. Schulz, D. L. Souvaine, G. Viglietta, and A. Winslow (2013). Algorithms for designing pop-up cards. In 30th Internat. Symp. Th. Aspects Comp. Sci. (STACS), Volume 20, pp. 269–280. Schloss Dagstuhl Publishing. Link to paper.

Pop-Up Card Templates

Click on the thumbnail to download a PDF of the template.

Chapter 1
Parallel Folds	Fig.1.4	p.4
Angled Cuts	Fig.1.10	p.9
Parallel Unequal	Fig.1.11	p.9
Three Parallel Cuts	Fig.1.12	p.10
Slanted Parallel	Fig.1.13	p.10
Letter T	Fig.1.14	p.11
Cylinder	Fig.1.18 & 8.1	p.13 & 108
Chapter 2
V-Fold	Fig.2.1	p.16
Y-Motion	Fig.2.9	p.24
Rotation Circle	Fig.2.16	p.29
Chapter 3
Knight's Visor	Fig.3.4	p.33
Chapter 4
Pop-up Spinner	Fig.4.2	p.48
Spinner Cuts	Fig.4.3	p.49
Minimal Spinner	Fig.4.15	p.58

Errata (Updated 15Sep2024)