done by professor Francesco de Comite. Take a careful look at 3 hinged models in his above-referenced webpage which Francesco rendered so beautifully. They are based on 3 hinged dissections from my hinged dissections book, and their figures in the book are listed below:
- a regular hexagram to a square in 7 pieces (Figures 11.24 and 11.25),
- a regular pentagon to a square in 7 pieces (Figures 11.20 and 11.21), and
- a regular octagon to a square in 7 pieces (Figures 12.3 and 12.4).
Models
-
Joop Van Der Vaart's hinged table (approx 550K)
March 2001.
A table that swings!
-
Greg Blonder's hinged ottoman
- April 2004.
A footstool that swings!
-
Bernard Lalanne's hinged table (approx 550K)
October 2003.
An octagonal table that swings!
-
Hinged Triangle Into a Square,
a beautiful model in mahogany and brass,
displayed by David S. Gunderson,
a professor in the Mathematics department at the University of Manitoba.
(Search down the page for "Dissections", and then click on that link.)
-
Hinged Triangle-to-Square pencil holder,
3D-printed by Jonathan Osborne, who lives in East Peoria, IL.
(In other words, he makes things that do play in Peoria!)
-
model of my twist-hinged equilateral triangle to a square,
demonstrated by yours truly.
-
several different models of my hinged dissections,
which were displayed in Joseph Malkevitch's April 2003 column,
"Art and Mathematics."
-
a plastic model of Rubik's Snake Puzzle (approx 200K).
-
hundred-year-old hinged models.
-
hinged models for geometric formulas (approx 700K).
-
Albert H. Kennedy's models (approx 360K).
-
hinged models for my dissections of a hexagon to a triangle and a pentagon to a triangle, crafted by David Gunderson (approx 160K).
-
symmetric hinged dissection of 2x1x1 rectangular block to a cube, designed and crafted by Walt van Ballegooijen (approx 470K).
-
a model of my twist-hinged dissection of a hexagram to hexagon, constructed by Wayne Daniel and in the
the Jerry Slocum Mechanical Puzzle Collection housed in the Lilly Library at Indiana University.
People
Cross-References
Copyright 2001-2020, 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 October 28, 2020.