Dissections of the Greek Cross

Dissections of the Greek Cross

thingiverse

Here are 4 dissections of the Greek cross; the pieces assemble into squares. Two are well known - "a_pieces" - a symmetric dissection - - and "b_pieces" - from an old puzzle that asked for two straight cuts across a Greek cross to make 4 pieces that can be assembled into a square. They appear in Dudeney's 1917 book "Amusements in Mathematics" which has a section on Greek cross puzzles. http://amusementsinmathematics.com/AiM/puzzlecategory.htm#GREEK_CROSS_PUZZLES A third dissection, "c_pieces", cuts the cross into two pairs of pieces and a fourth dissection, "d_pieces", makes four dissimilar pieces related to the symmetric dissection. A small box to hold the puzzles is given - it was created with the code from thing:1255039. Filled with pieces of different colors it can be emptied, the pieces made into 4 Greek crosses, and then replaced. OpenSCAD code is included.

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