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tässä olisi ensimmäinen:
The surround number of a polyomino is the number of different ways that the polyomino can be surrounded by non-overlapping copies of the same shape. A polyomino is considered surrounded if every unit edge is shared completely by a neighboring polyomino.
For example, the surround number of a cross is 2, the tiling below and its mirror image:
http://www.stetson.edu/~efriedma/mathmagic/0599/x5.gif
Which positive integers are the surround numbers of some shape? In particular, is 3 a surround number? What are the surround numbers of the small polyominoes? What is the surround number of an m x n rectangle? For what other families of polyominoes can we compute surround numbers?
ja vastaus löytyy osoitteesta:
http://www.stetson.edu/~efriedma/mathmagic/0599.html
lisäksi linkki missä on lisää linkkejä sekä tehtäviä:
http://www.stetson.edu/~efriedma/mathmagic/
-M
tässä olisi ensimmäinen:
The surround number of a polyomino is the number of different ways that the polyomino can be surrounded by non-overlapping copies of the same shape. A polyomino is considered surrounded if every unit edge is shared completely by a neighboring polyomino.
For example, the surround number of a cross is 2, the tiling below and its mirror image:
http://www.stetson.edu/~efriedma/mathmagic/0599/x5.gif
Which positive integers are the surround numbers of some shape? In particular, is 3 a surround number? What are the surround numbers of the small polyominoes? What is the surround number of an m x n rectangle? For what other families of polyominoes can we compute surround numbers?
ja vastaus löytyy osoitteesta:
http://www.stetson.edu/~efriedma/mathmagic/0599.html
lisäksi linkki missä on lisää linkkejä sekä tehtäviä:
http://www.stetson.edu/~efriedma/mathmagic/
-M
