Links and publications

Squared Squares - Introductory links

Mathworld Perfect Square Dissections
Ed Pegg's Math Games - Square Packing
Squaring the Square, Honsberger,Waterloo University.

R.L. Brooks, C. A. B. Smith, A. H. Stone and W. T. Tutte

The Dissection of Rectangles into Squares. (subscription)
The Trinity Mathematical Society

Skinner J.D.; Smith C.A.B.; Tutte W.T.

On the Dissection of Rectangles into Right-Angled Isosceles Triangles.

CAB Smith

CAB Smith

C.A.B. Smith (CABS)

The Story of Blanche Descartes
In Memoriam, Cedric A B Smith [link to be updated]
Times Online CAB SMITH Obituary [link to be updated]

Arthur Stone

An Interview with Arthur Stone, by W. W. Comfort

William T Tutte

BBC: Code Breakers Bletchley Parks lost Heroes (Tutte and Flowers)

Dan Younger's biographical sketch of W.T. Tutte
William T. Tutte, Dan Younger's remarks
A review of W T Tutte's 'Graph Theory as I have known it' (PDF)
A Toast to Matroids by W. T. Tutte
60 Years in the Nets by W. T. Tutte (audio Realplayer 7)
W T Tutte CRM-Fields Institute Prize
Tutte honored by cryptographic centre, June 17, 1998
Bill Tutte's role in the programming of the worlds first digital computer - kept Top Secret until recently. It is said Bill Tutte and Tommy Flowers shortened WWII by 2 years
Code-Breakers: Bletchley Park's Lost Heroes - BBC Two.
The story of Bill Tutte and Tommy Flowers. The two mystery men who uncovered Hitler's secret code and helped win WW2, then disappeared from history.
During his time at Bletchley Park, Captain Roberts came into contact with several brilliant men. He says, in the great successes of Bletchley Park, three men played key roles. Alan Turing (who possibly saved Britain by breaking naval Enigma in 1941), Bill Tutte (who broke the Tunny cipher-system, helping to shorten the war, as Gen. Eisenhower said: Bletchley decrypts shorten the war by at least two years) and Tommy Flowers (who designed and built Colossus, the first electronic computer ever, the Founding Father of todays computer world). 17SEP2009: Captain Jerry Roberts visits the Google London office to speak about his time as a code breaker at Bletchley Park during World War 2. This talk took place as part of the Speakers@Google series, on the 24th August 2009. (1h7m45s)
1FEB2010: Unsung heroes of IT: The story of Bill Tutte and Tommy Flowers (7m9s)
Unsung Heroes: The story of Bill Tutte (14m41s)
2FEB2010: Bletchley's code-cracking Colossus

Colossus reconstructed

27MAY2011: Code-cracking machine returned to life (3m12s) The first Tunny machines were built following the work in 1942 of mathematician Bill Tutte.
A Brief History of Computing (including Colossus). It mentions DEUCE which I was shown in 1957 (at English Electric, Kidsgrove near Leicester) by a Mr. Lam from Vietnam who worked there. It also mentions Maurice Wilkes (1913-2010) who built EDSAC in 1949: I attended some of his lectures in Cambridge. (Geoffrey Morley)

W. T. Tutte

The Guardian William Tutte
William T Tutte - Mathematician

CJ Bouwkamp

CJ Bouwkamp en de Squared Squares (Dutch); J Haubrich (PDF)

AJW Duijvestijn

In memoriam Arie Duijvestijn (Dutch)
A. J. W. Duijvestijn publications
Duijvestijn SPSS and 2x1 Squared Rects order 26 (PDF)

JD Skinner II

Uniquely squared squares of a common reduced side and order 1992

Ian Gambini

Ian Gambini's 2001 thesis Carres (French) (PDF)

T.H. Willcocks

TH Willcocks article on Squaring the Square 2004

Graph Theory, Enumeration, Generation and Representation of Planar Graphs

Mathworld: Polyhedral Graph
Blanche Descartes Review of Bondy and Murty's 'Graph Theory with Applications'
W.T.TUTTE, A New Branch of Enumerative Graph Theory, 1962
Enumeration of Polyhedra - Numericana
Duijvestijn; The number of polyhedral (3-Connected Planar) Graphs
Duijvestijn; Identification of Graphs, Two graphs have the same identification number if and only if they are isomorphic.
CaGe -- Chemical & abstract Graph environment - software with a graphical user interface to produce and view graphs (includes plantri generators)
plantri - planar graph software (produces many kinds of planar graph, including polyhedral graphs) by Brendan McKay and Gunnar Brinkmann
Plantri-full. This paper describes plantri’s principles of operation, the basis for its efficiency, and the recursive algorithms behind many of its capabilities.
convex polytopes - representations and 3D embeddings
Bodirsy, Gropl, Johannsen and Kang; c-net enumeration
Bodirsky; 10 Steps to Counting Unlabeled Planar Graphs: 20 Years Later
Fusy; Decomposition and enumeration of planar graphs
A106651 c(n) = number of c-nets on n vertices.
A000109 Number of simplicial polyhedra with n nodes; simple planar graphs with 3n-6 edges; maximal simple planar graphs; 3-connected planar triangulations; 3-connected triangulations of the sphere; 3-connected cubic planar graphs.
A000944 Number of polyhedra (or 3-connected simple planar graphs) with n nodes.
A049337 Triangle read by rows: T(n,k) = number of 3-connected planar graphs (or polyhedra) with n >= 1 nodes and 0<=k<=C(n,2) edges.

Squared Rectangles, and Variations on Square and Rectangle tiling

Squared rectangle calculator. Squared rectangles colored in four colors.
SQUARE THE SQUARE, Problem, game and general theorem, Karl Scherer
Robert Haramoto - Simple Perfect Squared Rectangles
Prolog III, Alain Colmerauer - Squaring Rectangles p 25-31(PDF)
Squaring Rectangles and VLSI layouts - Prof Wai-Kai Chen
Cannon, Floyd and Parry's paper - Squared rectangles & Riemann mappings(PDF)
Global Constraint Catalog - Squared squares
Beentjes squared rectangle method(PDF)
CSLA: Silvia Heubach - Tiling Rectangles with Squares
Cannon, Floyd and Parry's software for squared rectangles and circle packing
Shastry - Squared rectangle algorithms(PS)
The dissection of rectangles, cylinders, tori and Mobius strips into squares ; S J Chapman (subscription only)
Eric Friedman's Math Magic - has many variations on the square packing theme
Squared rectangles: A space-efficient layout for ranked graphics
Eppstein's Geometry Junkyard Dissections
Yoshiro Mimura's Page of Square Identities
Robert Wainwright's Partridge Puzzle Page
The 7070 Square Puzzle
Patterns with right angled Isosceles Triangles
triangle dissections (including integer dissections)
Proof by David Radcliffe that there are no simple triangled triangles
Problem 48.? Simple perfect prime squared rectangles
Joseph Malkevitch Tidbit Geometric Packing
Dissections of p:q rectangles; Jepsen (PDF)
Giovanni Resta's Perfect Rectangles

Squared Square Arty & Crafty

MATH with my KIDS; Latin Squares, Squared Squares, and Legoed Squares
Artist Eric Harshbarger's Perfect Square Dissection of the 21 Duijvestijn square in LEGO
Charles Payan's art - includes the Duijvestijn 112 squared square - Partition (1985)
Stijn's PostScript fragment
Rob's Puzzle Page
Square Deal - Squared Squares in Fabric
Crafting by Concepts: Fiber Arts and Mathematics - Google Books Result -Chapter 7 Perfectly Simple Squaring the Rectangle
Quilting squared squares - Layers of Meaning
Bob Mackay has build a wooden cabinet based on Duijvestijn's 21 112x112 squared square. See also with doors and drawers open and the front view (closed up)
Stephen Middlehall has also designed and built a wooden cabinet based on Zbigniew Moron's 33 x 32 squared rectangle.

Electrical Network Theory

Random Walks and Electrical Networks(PDF)
Electricity is NOT a form of energy!!!
ECE 201 Electrical Networks I - flash animations and lecture notes

Updated on ... June 2 2012