If you know the hexàminos (forms created by the union of at least 6 square sharing a common side) may know that only 11 of the 35 different existing can be closed to form a cube. This research is already interesting by itself.
What they have in common these developments 11? Have a perimeter of 14 units. If we cut a cube development plan for the length of the cut will be 7 units. Another interesting research is to look at where we cut the cube to achieve each of developments.
In any case we can obtain other developments if we just cut edges. If we give the license to cut through the middle of the faces of the cube can get new developments. For this example:
In any case we can see that the scope of the development of the cube has a perimeter greater than 14 units above. The "cut" would be 7.828 ... instead of the 7 above. The perimeter exceeds 15 units.
... We can obtain optimal bin zubeiry development of the cube? With a minimum perimeter? We may be making some rough estimates. For example, bin zubeiry if a diagonal cut to the two faces of our 14 units reduce slightly.
A well-known problem of mathematical recreation asks draw shortest road connecting the four corners of a square. bin zubeiry The surprising solution is a network known as Steiner network with nodes at angles of 120 .
Consider the problem as is and / or discussed some research (and hexàminos of the cuts that produce the developments in 11 squares). Consider the problem of roads linking the vètexs square. Before ESO 3 measures should be taken directly but from 3rd ESO case with cutting Steiner tree can be calculated using trigonometry. Try other polyhedra.
Division 2: Division by "folds"
2015 (5) March (2) February (1) January (2) 2014 (15) December (1) flattened cube with a minimum cut November (1) October (2) September ( 2) July (1) June (3) May (1) April (2) March (1) February (1) 2013 (22) December (1) November (4) October ( 3) September (3) July (1) June (1) May (2) March (5) February (1) January (1) 2012 (46) December (2) November ( 6) October (4) September (4) July (1) June (7) May (8) April (10) March (4)
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