GraphicsArray, scaling and AspectRatio

*To*: mathgroup at smc.vnet.net*Subject*: [mg36327] GraphicsArray, scaling and AspectRatio*From*: "DIAMOND Mark R." <dot at dot.dot>*Date*: Mon, 2 Sep 2002 04:08:34 -0400 (EDT)*Organization*: The University of Western Australia*Sender*: owner-wri-mathgroup at wolfram.com

I managed to post this on alt.math.recreational by mistake, and confuse everyone! I am having a bit of trouble with showing the shapes of pentominoes. The list of pentominoes is 12 x 5 x 2, for 12 pentominoes x 5 squares x {X,Y} coordinate of the square on a zero-origin basis. Just for completeness ... pentominoes = { {{0, 0}, {1, 0}, {1, 1}, {1, 2}, {2, 1}}, (*F*) {{0, 0}, {1, 0}, {2, 0}, {3, 0}, {4, 0}}, (*I*) {{0, 0}, {1, 0}, {2, 0}, {3, 0}, {0, 1}}, (*L*) {{0, 0}, {1, 0}, {2, 0}, {2, 1}, {3, 1}}, (*N*) {{0, 0}, {1, 0}, {2, 0}, {0, 1}, {1, 1}}, (*P*) {{0, 0}, {1, 0}, {2, 0}, {1, 1}, {1, 2}}, (*T*) {{0, 0}, {1, 0}, {2, 0}, {0, 1}, {2, 1}}, (*U*) {{0, 0}, {1, 0}, {2, 0}, {0, 1}, {0, 2}}, (*V*) {{0, 0}, {1, 0}, {1, 1}, {2, 1}, {2, 2}}, (*W*) {{1, 0}, {0, 1}, {1, 1}, {2, 1}, {1, 2}}, (*X*) {{0, 0}, {1, 0}, {2, 0}, {3, 0}, {1, 1}}, (*Y*) {{0, 0}, {1, 0}, {1, 1}, {1, 2}, {2, 2}} (*Z*) } When I display them with the code below, the aspect ratio is correct *within each pentomino* but they are not scaled equivalently. I would appreciate a pointer to what I have done wrong. The only solution I have been able to develop so far effectively places each of the 12 pentominoes at a different location in the plane, and then draws the whole region in one go. Show[ GraphicsArray[ Partition[ Table[ Graphics[ Map[Rectangle[#, (# + {1, 1})] &, pentominoes[[i]]], AspectRatio -> Automatic ], {i, 12}], 6] ] ] Cheers, -- Mark R. Diamond