Most recent additions to these updates:
November 2019 - Improved hinged dissection of two {12/4}s to one
March 2019 - Wobblier and wobblier for Lorraine
November 2018 - Wrong citation to Langford article
June 2015 - Misspelling in the reference for Appendix H
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 a2 – b2 = (a+b)(a–b)
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 12 + 22 + 22 = 32
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
Improved or new dissections
All updates, including typos, by chapter
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 ---> surprise! includes improved hinged dissection of two {12/4}s to one!
. . . 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 2001-2019, 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 November 11, 2019.