References for Rectifiable Polyominoes

I have also included references for tiling rectangles with two types of polyominoes, and also for 3-dimensional (and higher) packings.

James Bitner, Tiling 5n x 12 Rectangles with Y-pentominoes, Journal of Recreational Mathematics 7 (1974), no. 4, pp. 276-278. [MR]
C.J. Bouwkamp and D.A. Klarner, Packing a Box with Y-pentacubes, Journal of Recreational Mathematics 3 (1970), no. 1, pp. 10-26.
Chris Bouwkamp, The Cube-Y Problem, Cubism For Fun 25, (December 1990 - January 1991), part 3, pp. 30-43.
Andrejs Cibulis and Ilvars Mizniks, Tiling Rectangles with Pentominoes, Latvijas Universitātes Zinātniskie Raksti 612 (1998) pp. 57-61.
Andris Cibulis, Packing Boxes with N-tetracubes, Crux Mathematicorum with Mathematical Mayhem 23 (October 1997), no. 6, pp. 336-342.
Andrew L. Clarke, A Pentomino Conjecture, Problem 600, Journal of Recreational Mathematics 10 (1977-78), no. 1, p. 54.
◦ Solution by Mike Beeler, Journal of Recreational Mathematics 12 (1979-80), no. 1, pp. 63-64.
Andrew L. Clarke, Packing Boxes with Congruent Polycubes, Journal of Recreational Mathematics 10 (1977-78), no. 3, pp. 177-182.
Karl A. Dahlke, The Y-hexomino has order 92, Journal of Combinatorial Theory, Series A 51 (1989), no. 1, pp. 125-126. [MR]
Karl A. Dahlke, A Heptomino of Order 76, Journal of Combinatorial Theory, Series A 51 (1989), no. 1, pp. 127-128. [MR]
◦ Erratum, Journal of Combinatorial Theory, Series A 52 (1990), no. 2, p. 321. [MR]
Karl A. Dahlke, Solomon W. Golomb and Herbert Taylor, An Octomino of High Order, Journal of Combinatorial Theory, Series A 70 (1995), no. 1, pp. 157-158. [MR]
Raymond R. Fletcher III, Tiling Rectangles with Symmetric Hexagonal Polyominoes, Proceedings of the Twenty-seventh Southeastern International Conference on Combinatorics, Graph Theory and Computing, Baton Rouge, LA, 1996, Congressus Numerantium 122 (1996), pp. 3-29. [MR]
Julian Fogel, Mark Goldenberg and Andy Liu, Packing Rectangles with Y-Pentominoes, Mathematics and Informatics Quarterly 11 (2001), no. 3, pp. 133-137.
Martin Gardner, Polyominoes and Rectification, Chapter 13 in Mathematical Magic Show, The Mathematical Association of America, 1989.
Frits Göbel, Packing with Congruent Shapes, Cubism For Fun 22 (December 1989), pp. 13-20.
Frits Göbel, Prime pentacube packing, Cubism For Fun 33 (February 1994), pp. 24-25.
S.W. Golomb, Covering a Rectangle with L-tetrominoes, Problem E 1543, American Mathematical Monthly 69 (November 1962), no. 9, p. 920.
◦ Solution to Problem E 1543 D.A. Klarner, American Mathematical Monthly 70 (August-September 1963), no. 7, pp. 760-761.
Solomon W. Golomb, Tiling with Polyominoes, Journal of Combinatorial Theory 1 (1966) pp. 280-296. [MR]
Solomon W. Golomb, Tiling with Sets of Polyominoes, Journal of Combinatorial Theory 9 (1970) pp. 60-71. [MR]
Solomon W. Golomb, Polyominoes Which Tile Rectangles, Journal of Combinatorial Theory, Series A 51 (1989), no. 1, pp. 117-124. [MR]
Solomon W. Golomb, Tiling Rectangles with Polyominoes, Chapter 8 in Polyominoes, Second edition, Princeton University Press, 1994.
Solomon W. Golomb, Tiling Rectangles with Polyominoes, in Mathematical entertainments, edited by David Gale, The Mathematical Intelligencer 18 (1996), no. 2, pp. 38-47. [MR]
Jenifer Haselgrove, Packing a Square with Y-pentominoes, Journal of Recreational Mathematics 7 (1974), no. 3, p. 229.
Robert Hochberg and Michael Reid, Tiling with Notched Cubes, Discrete Mathematics 214 (2000), no. 1-3, pp. 255-261. [MR] [Zbl]
Ross Honsberger, Box packing problems, chapter 8 in Mathematics Gems II, the Mathematical Association of America, Washington D.C. 1976.
Charles H. Jepsen, Lowell Vaughn and Daren Brantley, Orders of L-shaped Polyominoes, Journal of Recreational Mathematics 32 (2003-2004), no. 3, pp. 226-231.
David A. Klarner, Some Results Concerning Polyominoes, Fibonacci Quarterly 3 (1965), pp. 9-20. [MR]
David A. Klarner, Packing a Rectangle with Congruent N-ominoes, Journal of Combinatorial Theory 7 (1969) pp. 107-115. [MR]
David A. Klarner, Letter to the Editor, Journal of Recreational Mathematics 3 (1970), no. 4, p. 258.
David A. Klarner, A Finite Basis Theorem Revisited, Technical Report CS-TR-73-338, Stanford University, February 1973.
David Klarner, A Search for N-pentacube Prime Boxes, Journal of Recreational Mathematics 12 (1979-80), no. 4, pp. 252-257. [MR]
D.A. Klarner and F. Göbel, Packing boxes with congruent figures, Indagationes Mathematicae 31 (1969) pp. 465-472. [MR]
Earl S. Kramer, Tiling Rectangles with T and C Pentominoes, Journal of Recreational Mathematics 16 (1983-84), no. 2, pp. 102-113. [MR]
Earl S. Kramer and Frits Göbel, Tiling Rectangles with Pairs of Pentominoes, Journal of Recreational Mathematics 16 (1983-84), no. 3, pp. 198-206. [MR]
Rodolfo Marcelo Kurchan, Letter to the Editor, Journal of Recreational Mathematics 23 (1991), no. 1, p. 5.
Rodolfo Marcelo Kurchan, Letter to the Editor, Journal of Recreational Mathematics 24 (1992), no. 3, pp. 184-185.
Miklós Laczkovich, Tiling with T-tetrominoes, Problem 1263, Mathematics Magazine 60 (April 1987), no. 2, p. 114.
◦ Solution to Problem 1263 by Jerrold W. Grossman, Mathematics Magazine 61 (April 1988), no. 2, pp. 119-120.
T.W. Marlow, Grid Dissections, Chessics 23 (1985), pp. 78-79.
William Rex Marshall, Packing Rectangles with Congruent Polyominoes, Journal of Combinatorial Theory, Series A 77 (1997), no. 2, pp. 181-192. [MR]
Jean Meeus, The Smallest U-N Square, Journal of Recreational Mathematics 18 (1985-86), no. 1, p. 8.
Jean Meeus, Letter to the Editor, Journal of Recreational Mathematics 18 (1985-86), no. 1, pp. 49, 51.
Michael Reid, Letter to the Editor, Journal of Recreational Mathematics 25 (1993), no. 2, pp. 149-150.
Michael Reid, Tiling Rectangles and Half Strips with Congruent Polyominoes, Journal of Combinatorial Theory, Series A 80 (1997), no. 1, pp. 106-123. [MR] [Zbl]
Michael Reid, Tiling a Square with Eight Congruent Polyominoes, Journal of Combinatorial Theory, Series A 83 (1998), no. 1, p. 158. [Zbl]
Michael Reid, Tiling with Similar Polyominoes, Journal of Recreational Mathematics 31 (2002-2003), no. 1, pp. 15-24.
Michael Reid, Tile Homotopy Groups, L'Enseignement Mathématique 49 (2003), no. 1-2, pp. 123-155. [MR] [Zbl]
Michael Reid, Klarner Systems and Tiling Boxes with Polyominoes, Journal of Combinatorial Theory, Series A 111 (2005), no. 1, pp. 89-105. [MR] [Zbl]
Michael Reid, Asymptotically Optimal Box Packing Theorems, The Electronic Journal of Combinatorics 15 (2008), no. 1, R78, 19 pp. [MR] [Zbl]
Karl Scherer, Some New Results on Y-pentominoes, Journal of Recreational Mathematics 12 (1979-80), no. 3, pp. 201-204. [MR]
Karl Scherer, Heptomino Tessellations, Problem 1045, Journal of Recreational Mathematics 14 (1981-82), no. 1, p. 64.
◦ Solutions by Scherer and Karl A. Dahlke, Journal of Recreational Mathematics 21 (1989), no. 3, pp. 221-223.
◦ Solution by Karl A. Dahlke, Journal of Recreational Mathematics 22 (1990), no. 1, pp. 68-69.
Karl Scherer, A Puzzling Journey To The Reptiles And Related Animals, privately published, Auckland, New Zealand, 1987.
Karl Scherer, Pentacube Packing Problems, Problem 1615, Journal of Recreational Mathematics 20 (1988), no. 1, p. 78.
◦ Solution by Richard I. Hess, Journal of Recreational Mathematics 21 (1989), no. 1, pp. 74-75.
◦ Solution by Karl Scherer, Journal of Recreational Mathematics 24 (1992), no. 1, pp. 62-64.
Karl Scherer, The U-Pentacube Packing Problem, Problem 1963, Journal of Recreational Mathematics 24 (1992), no. 2, p. 146.
◦ Solutions by Brian Barwell and Michael Reid, Journal of Recreational Mathematics 25 (1993), no. 3, pp. 226-229.
Karl Scherer, The T-Pentacube Packing Problem, Problem 1990, Journal of Recreational Mathematics 24 (1992), no. 3, p. 224.
◦ Solutions by Frits Göbel and Michael Beeler, Journal of Recreational Mathematics 26 (1994), no. 1, pp. 66-67.
Karl Scherer, The primes of a certain pentacube, Journal of Recreational Mathematics 26 (1994), no. 1, pp. 1-2.
Robert Spira, A Pavement of Tetrominoes, Problem E 1786, American Mathematical Monthly 72 (May 1965), no. 5, p. 543.
◦ Solution to Problem E 1786, American Mathematical Monthly 73 (June-July 1966), no. 6, p. 673.
Robert Spira, Impossibility of Covering a Rectangle with L-Hexominoes, Problem E 1983, American Mathematical Monthly 74 (April 1967), no. 4, p. 439.
◦ Solution to Problem E 1983 by Dennis Gannon, American Mathematical Monthly 75 (August-September 1968), no. 7, pp. 785-786.
D.W. Walkup, Covering a Rectangle with T-tetrominoes American Mathematical Monthly 72 (November 1965), no. 9, pp. 986-988. [MR]
Ingo Wrede, Rechteckzerlegungen mit kleinen Polyominos, Diplomarbeit, (1990) Technische Universität Braunschweig.