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6.AS.1.b. OTHER GREEK CROSS DISSECTIONS
See also 6.F.3 and 6.F.5.
Dudeney. A batch of puzzles. Royal Magazine 1:3 (Jan 1899) & 1:4 (Feb 1899) 368-372. Squares and cross puzzle. = AM, 1917, p. 34. Dissect a Greek cross into five pieces which make two squares, one three times the edge of the other. If the squares in the Greek cross have edge 2, then the cross has area 10 and the two squares have areas 1 and 9. The dissection arise by joining the midpoints of the edges of the central square of the cross and extending these lines in one direction symmetrically.

Dudeney. AM. 1917. Greek cross puzzles, pp. 28-35. This discusses a number of examples and gives a few problems.

Collins. Book of Puzzles. 1927. The Greek cross puzzle, pp. 98-100. Take a Greek cross whose squares have side 2, so the cross has area 10. Take another cross of area 5 and place it inside the large cross. If this is done centrally and the small one turned to meet the edges of the large one, there are four congruent heptagonal pieces surrounding the small one which make another Greek cross of area 5.

Eric Kenneway. More Magic Toys, Tricks and Illusions. Beaver Books (Arrow (Hutchinson)), London, 1985. On pp. 56-58, he considers a Greek cross cut by two pairs of parallel lines into nine pieces which would make five squares. The lines join an outer corner to the midpoint of an opposite segment. This produces a tilted square in the centre. By pairing the other pieces, he gets four identical pieces which make a square and a Greek cross in a square.