January 2015 - Hart's dissections are fully hingeable

November 2014 - An incorrect hinging in Figure 11.54

June 2014 - Hinging a small stellated dodecahedron ?

June 2014 - A better explanation for the Q-slide

December 2008 - Gavin Theobald improves the multiple pentagram dissection

November 2008 - Gavin Theobald's improved pentagon bracing

July 2008 - Arbitrary hinged structure

June 2008 - Open question resolved!

October 2007 - Improvement in 1:1:5:6::7 Cubes

July 2007 - Later Recollection by Dudeney

July 2007 - Early hingeable demonstrations of Pythagorean Theorem

July 2007 - Early hingeable demonstration of 3-4-5 Squares

April 2007 - Gerard 't Hooft's Meccano Math

April 2007 - Two congruent pentagons to one

March 2007 - Latin Cross to a square

November 2006 - Credit for C. W. M`Elroy

November 2006 - Hexagram to a square

October 2006 - A short biography of Donald L. Bruyr

June 2006 - Many new or improved dissections

January 2006 - Better than converting Perigal

January 2006 - A wide variety of twist-hinged dissections

November 2005 - Misclassification of parallelogram to parallelogram dissection

August 2005 - Rinus Roelofs' hinged tessellations

August 2005 - Missing hinge in Figure T9

April 2005 - A spurious hinge in Figure 11.31

November 2004 - Early model for two cubes to rhombic dodecahedron

March 2004 - Disk to two oval seat tops

February 2004 - Octagon to a pentagon

February 2004 - Octagon to a triangle

July 2003 - Second hexagram to triangle is wobbly-hinged

July 2003 - Andrei Khodulyov's bracings

May 2003 - An earlier reference for parallelogram to parallelogram

May 2003 - An earlier reference for Johannes Böttcher

May 2003 - Attribution should go to Harry Bradley

March 2003 - Twist-hinged proof of a

February 2003 - Another dissection found by Ernest Freese

January 2003 - A different dissection of hexagons for 1 : 2 : 2 :: 3

January 2003 - New family of twist-hinged dissections

January 2003 - Jean Bauer and his wonderful generalizations

January 2003 - An even larger new family

January 2003 - Summary of Dudeney columns, and a correction

January 2003 - Ernest Freese and a dodecagon to three squares

January 2003 - Earlier discovery of a decagon to two pentagons plus two pentagrams

January 2003 - Another dissection found by Ernest Freese

January 2003 - Generalized Greek cross dissected earlier

November 2002 - Hexagram plus triangle to a triangle

November 2002 - Twist-hinged hexagons for 1

August 2002 - Arabic-Islamic vs. Arabian

May 2002 - A special case for three hexagons to one

April 2002 - Three figures to two

April 2002 - Two pentagons plus two pentagrams to a decagon

January 2002 - Dodecagon to hexagon is improved

January 2002 - Gavin Theobald improves the hexagram to hexagon

January 2002 - Robert Reid improves the hexagram dissection

July 2001 - No abuts, please

- A special case for three hexagons to one
- Robert Reid improves the hexagram dissection
- A different dissection of hexagons for 1 : 2 : 2 :: 3
- No abuts, please
- Three figures to two
- Gavin Theobald improves the multiple pentagram dissection
- Hexagram plus triangle to a triangle
- Two congruent pentagons to one
- Twist-hinged hexagons for 1
^{2}+ 2^{2}+ 2^{2}= 3^{2} - Hexagram to a square
- Latin Cross to a square
- Octagon to a triangle
- Octagon to a pentagon
- Gavin Theobald improves the hexagram to hexagon
- Dodecagon to hexagon is improved
- Two pentagons plus two pentagrams to a decagon
- New family of twist-hinged dissections
- An even larger new family
- Disk to two oval seat tops
- Better than converting Perigal

Preface

1. if it Ain't got that Swing

. . The Curious Case of the Brass Hinges

2. Hinging on the Details

3. Tricks for Turning

. . Turnabout 1: Coloring a Hinged Model

4. Making Squares Dance

5. L'affaire Triangulaire

. . Curious Case, part 2: Five Easy Pieces?

6. Return to Polygonia

7. Who's the Squarest of Them All?

. . Turnabout 2: Bracing Regular Polygons

8. Stepping Around

9. All in the Family

. . . Curious Case, part 3: Trouble with Attributions

10. Elation in Tessellations

11. Strips Revealed

. . . Turnabout 3: Hinged Tessellations

12. With a Little Help From My Friends

13. At Cross Purposes

. . . Curious Case, part 4: A Dudeneyan Slip?

14. Handling the Curves

15. And Also Starring

. . . Turnabout 4: Hinge-Convertible Polyominoes

16. Four of a Kind

17. As the Whirled Turns

. . . Curious Case, part 5: A Quorum of Quibbles

18. A New Breed of Swingers

19. Not Your Regular Polygons

. . . Turnabout 5: Piano-hinged Polyhedra

20. Into Another Dimension

21. The Flip Side

. . . Curious Case, part 6: Statistically Piquing

22. Twist and Shout!

23. Puzzles Unhinged

Afterword (minor phrasing)

Bibliography

Index of Dissections

General Index

*Copyright 2001-2015, Greg N. Frederickson*.

Permission is granted to any purchaser of
*Hinged Dissections: Swinging & Twisting*
to print a copy
of this page for his or her own personal use.

*Last updated January 19, 2015.*