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F.5. OTHER DISSECTIONS INTO POLYOMINOES



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6.F.5. OTHER DISSECTIONS INTO POLYOMINOES
Catel. Kunst-Cabinet. 1790.

Das Zakk- und Hakenspiel, p. 10 & fig. 11 on plate 1. 4 Z pentominoes and 4  L tetrominoes make a 6 x 6 square.

Die zwolf Winkelhaken, p. 11 & fig. 26 on plate 1. 8 L pentominoes and 4  L hexominoes make a 8 x 8 square.

Bestelmeier. 1801. Item 61 -- Das Zakken und Hakkenspiel. As in Catel, p. 10, but not as regularly drawn. Text copies some of Catel.

Manuel des Sorciers. 1825. Pp. 203-204, art. 20. ??NX Use four L-trominoes to make a 3 x 4 rectangle or a 4 x 4 square with four corners deleted.

Family Friend 3 (1850) 90 & 121. Practical puzzle -- No. XIII. 4 x 4 square, with 12 trees in the corners, centres of sides and four at the centre of the square, to be divided into 4 congruent parts each with 3 trees. Solution uses 4 L-tetrominoes. The same problem is repeated as Puzzle 17 -- Twelve-hole puzzle in (1855) 339 with solution in (1856) 28.

Magician's Own Book. 1857. Prob. 14: The square and circle puzzle, pp. 270 & 295. Same as Family Friend. = Book of 500 Puzzles, 1859, prob. 14, pp. 84 & 109. = Boy's Own Conjuring book, 1860, prob. 13, pp. 231-232 & 257. c= Illustrated Boy's Own Treasury, 1860, prob. 8, pp. 396 & 437. c= Hanky Panky, 1872, A square of four pieces, p. 117.

Landells. Boy's Own Toy-Maker. 1858. Pp. 146-147. Identical to Family Friend.

Leske. Illustriertes Spielbuch für Mädchen. 1864?

Prob. 584-2, pp. 286 & 404. 4  Z pentominoes to make a Greek cross. (Also entered in 6.F.3.)

Prob. 584-3, pp. 286 & 404. 4 L-tetrominoes to make a square.

Prob. 584-5, pp. 286 & 404. 8  L pentominoes and 4  L hexominoes make a 8 x 8 square. Same as Catel, but diagram is inverted.

Prob. 584-7, pp. 287 & 405. 4 Z pentominoes and 4  L tetrominoes make a 6 x 6 square. Same as Catel, but diagram is inverted.

Mittenzwey. 1880.

Prob. 174, pp. 33 & 85; 1895?: 199, pp. 38 & 87; 1917: 199, pp. 35 & 84. 4  Z pentominoes to make a (Greek) cross. (Also entered in 6.F.5.)

Prob. 186, pp. 35 & 88; 1895?: 211, pp. 40 & 90; 1917: 211, pp. 36 & 87. 4 x 4 square into 4 L-tetrominoes.

Prob. 187, pp. 35 & 88; 1895?: 212, pp. 40 & 90; 1917: 212, pp. 36 & 87. 6 x 6 square into 4 Z pentominoes and 4  L tetrominoes, as in Catel, p. 10.

Prob. 215, pp. 38 & 90; 1895?: 240, pp. 42 & 92; 1917: 240, pp. 39 & 88. Square garden with 12 trees quadrisected into four L-tetrominoes.

S&B, p. 20, shows a 7 piece cross dissection into 3 Zs, 2 Ls and 2 straights, from c1890.

Hoffmann. 1893. Chap. X, no. 37: The orchard puzzle, pp. 350 & 390 = Hoffmann-Hordern, pp. 247, with photo. Same as Family Friend 3. Photo on p. 247 shows St. Nicholas Puzzle Card, © 1892 in the USA.

Tom Tit, vol 3. 1893. Les quatre Z et des quatre L, pp. 181-182. = K, No. 27: The four Z's and the four L's, pp. 70 71. = R&A, Squaring the L's and Z's, p. 102. 6 x 6 square as in Catel, p. 10.

Sphinx. 1895. The Maltese cross, no. 181, pp. 28 & 103. Make a Maltese cross (actually a Greek cross of five equal squares) from 4 P-pentominoes. Also: quadrisect a P pentomino.

Wehman. New Book of 200 Puzzles. 1908. The square and circle puzzle, p. 5. = Family Friend.

Burren Loughlin & L. L. Flood. Bright-Wits Prince of Mogador. H. M. Caldwell Co., NY, 1909. The Zoltan's orchard, pp. 24-28 & 64. = Family Friend.

Anon. Prob. 84. Hobbies 31 (No. 799) (4 Feb 1911) 443. Use at least one each of: domino; L-tetromino; P and X pentominoes to make the smallest possible square Due to ending of this puzzle series, no solution ever appeared. I find numerous solutions for 5 x 5, 6 x 6, 8 x 8, of which the first is easily seen to be the smallest possibility.

A. Neely Hall. Carpentry & Mechanics for Boys. Lothrop, Lee & Shepard, Boston, nd [1918]. The square puzzle, pp. 20 21. 7 x 7 square cut into 1 straight tromino, 1  L tetromino and 7 L hexominoes.

Collins. Book of Puzzles. 1927. The surveyor's puzzle, pp. 2-3. Quadrisect 3/4 of a square, except the deleted 1/4 is in the centre, so we are quadrisecting a hollow square.

Arthur Mee's Children's Encyclopedia 'Wonder Box'. The Children's Encyclopedia appeared in 1908, but versions continued until the 1950s. This looks like 1930s?? 4  Z pentominoes and 4  L tetrominoes make a 6 x 6 square and a 4 x 9 rectangle.

W. Leslie Prout. Think Again. Frederick Warne & Co., London, 1958. All square, pp. 42 & 129. Make a 6 x 6 square from the staircase hexomino, 2 Y-pentominoes, an N tetromino, an L-tetromino and 3 T-tetrominoes. None of the pieces is turned over in the solution, though this restriction is not stated.


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