Math Magic Subject Archive

Tiling in Multiple Ways

Polypolyforms
(September 2004)

updated 6/8/07

Multiple Tiling Numbers
(November 2004)

updated 6/29/07

Generalized Reptiles
(June 2005)

updated 6/30/05

Polypolylines
(August 2006)

updated 5/11/07

Polyomino Addition
(November 2006)

updated 12/6/07

Tiling With Smaller Copies

Integer Square Tilings
(December 1998)

updated 10/16/07

Counting Square Tilings
(September 2001)

updated 10/9/01

Diverse Square Tilings
(June 2002)

updated 7/28/02

Partridge Packings
(August 2002)

updated 9/12/02

Irreptiles
(October 2002)

updated 8/5/03

More Square Problems
(November 2003)

updated 6/19/05

Anti-Partridge Tilings
(June 2007)

updated 7/2/07

Tiling

Disconnected Polyominoes
(February 1999)

updated 3/3/99

Rectangles in Squares
(August 1999)

updated 7/9/07

Counting Domino Tilings
(May 2000)

updated 1/15/05

Packing Two Polyminoes
(January 2001)

updated 2/3/01

Tilings with N Neighbors
(July 2001)

updated 8/12/01

Square Strip Tilings
(December 2001)

updated 12/21/02

Packing Consecutive L's
(April 2002)

updated 4/30/02

Consecutive Aspect
Ratio Squares
(December 2002)

updated 12/15/02

Home Plate Tilings
(February 2003)

updated 2/16/03

Triangular Polyhex Tilings
(March 2003)

updated 4/14/03

Tiling Rectangles
With U's
(February 2005)

updated 3/29/05

Balanced Consecutive Tilings
(May 2005)

updated 6/7/05

Sub-Partridge Rectangle Tilings
(January 2006)

updated 1/31/06

Tiling Triangles,
Pyramids, and Diamonds
(May 2006)

updated 9/23/06

Polygon Triangulation
(December 2006)

updated 9/21/07

Tiling Cornerless Rectangles
(March 2007)

updated 3/31/07

Tiling Frames
(January 2008)

updated 2/17/08

Packing, Stacking, and Covering

Stacking Squares Vertically
(October 1999)

updated 7/16/07

Packing Two Square Sizes
(April 2000)

updated 8/1/07

Covering Squares
(September 2000)

updated 12/15/02

Stacking L's
(July 2003)

updated 11/2/03

Packing Squares
of Area n
(January 2004)

updated 6/30/05

Packing Aspect
Ratio Rectangles
(June 2004)

updated 6/7/04

Packing Sequences
(July 2004)

updated 8/6/04

Yet More Square Problems
(September 2005)

updated 9/29/05

Some Circle Problems
(October 2005)

updated 7/14/07

Packing Polyominoes
in Larger Copies
(April 2006)

updated 2/17/08

Magic Polyomino Squares
(May 2007)

updated 5/30/07

Stacking Squares Horizontally
(August 2007)

updated 8/30/07

Seeing An Equal
Number of Squares
(September 2007)

updated 9/21/07

Loops Of Squares In Rectangles
(December 2007)

updated 12/23/07

Placing Circles To
Obstruct Circles
(February 2008)

updated 3/3/08

Packing Pieces
in Polyominoes
(April 2008)

updated 4/30/08

Fitting Inside Two
Different Squares
(May 2008)

updated 5/11/08

Shapes Adjacent to Other Shapes

Convex Spectra
(April 1999)

updated 6/7/04

Surround Numbers
(May 1999)

updated 3/5/02

Entangled Polyominoes
(October 2001)

updated 12/21/02

Pairwise Touching Polycubes
(September 2003)

updated 9/11/03

Neighborly Tilings
(December 2004)

updated 12/28/04

No-Touch Tilings
(July 2005)

updated 7/30/05

Shapes Touching
n Others
(November 2005)

updated 11/29/05

Tree-Like Buildings
(October 2006)

updated 12/3/06

Numbers

Palindrome Products
(June 1999)

updated 7/7/07

Single Digit Formulas
(December 1999)

updated 12/15/02

Adding Digits Pairwise
(February 2000)

updated 4/26/05

Friedman Numbers
(August 2000)

updated 4/3/08

Power Products
(December 2000)

updated 12/14/00

Getting to Two
(May 2001)

updated 5/30/01

Printer Errors
(June 2001)

updated 6/16/07

Squaring and Striking
(August 2001)

updated 8/31/01

Square Root Approximations
(May 2002)

updated 5/18/02

Squaring and Adding
(August 2003)

updated 11/15/03

Honest Numbers
(December 2003)

updated 1/10/04

Number Constellations
(February 2004)

updated 3/8/04

Strobogrammatic
Expressions
(April 2004)

updated 4/23/06

Small Digit Approximations
(August 2004)

updated 3/24/08

Repeating Blocks
in Squares
(October 2004)

updated 10/31/04

Ambiguous Products
(January 2005)

updated 1/31/05

Substring Iteration
(November 2007)

updated 11/13/07

Nth Powers With N Digits
(March 2008)

updated 3/12/08

Matrices

Divisor Chains
(November 1998)

updated 5/26/03

Average Arrays
(March 1999)

updated 3/7/99

Square Matrices
(September 1999)

updated 10/5/99

Square Crosswords
(January 2002)

updated 1/27/02

Modular Sum Matrices
(February 2002)

updated 1/5/03

Sum-Product Matrices
(November 2002)

updated 11/20/02

Multiple Matrices
(June 2003)

updated 6/21/03

Power Towers
(October 2003)

updated 10/26/03

Digit Isogrids
(May 2004)

updated 5/25/04

Chess

Fairy Chess Endgames
(July 1999)

updated 4/20/01

Chess Placement and
Sliding Puzzles
(February 2001)

updated 11/18/03

Non-Attacking Bishops
(March 2005)

updated 4/26/05

Trivial Knight Tours
(August 2005)

updated 1/4/07

Attacking Each
Square n Times
(July 2006)

updated 3/13/07

Pieces Attacking
Each Other
(February 2007)

updated 3/17/07

Chess Attack Loops
(April 2007)

updated 4/22/07

Non-Attacking Rook Tours
(July 2007)

updated 7/25/07

Games

Longest Sokoban Games
(March 2000)

updated 3/10/01

Variants of Nim
(November 2000)

updated 4/22/07

Fair 2 Game Schedules
(July 2002)

updated 8/9/02

Playing Card Problems
(March 2006)

updated 9/25/06

The Tetromino
Placement Game
(June 2006)

updated 6/12/06

The Game Of Blob
(October 2007)

updated 10/28/07

Graph Theory

Non-monochromatic Cliques
(November 1999)

updated 11/25/99

Cayley Graphs of
Sliding Puzzles
(July 2000)

updated 7/22/00

Graphs with
No 4-Cycles
(October 2000)

updated 5/26/03

Adjacency Graphs
for Polygons
(April 2001)

updated 12/21/02

Problems with Points
(December 2005)

updated 11/30/06

Some Graph Problems
(February 2006)

updated 2/14/06

Cellular Automata

Robot Rooms
(November 2001)

updated 11/13/01

Cellular Growth Model
(September 2002)

updated 9/12/02

Mathematical Cellular Automata
(January 2003)

updated 1/17/03

Paths

Linear Polyominoes
(March 2001)

updated 3/24/01

Snake Squares
(May 2003)

updated 2/10/07

Thunderball
(March 2004)

updated 4/5/04

Unique Path Puzzles
(September 2006)

updated 9/25/06

Rigidity

Bracing Polygons
(January 2000)

updated 10/1/06

Problems with L's
(June 2000)

updated 3/14/05

Areas of Rigid Tents
(April 2005)

updated 4/29/05

Miscellaneous

Angle Frequencies
(January 1999)

updated 1/28/99

Minimal Critical Circuits
(March 2002)

updated 1/6/03

Efficient Stamps
(April 2003)

updated 10/14/06

Polyomino Intersections
(January 2007)

updated 1/15/07