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An Origami isosceles triangle.
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Eight 2-unit-side checkered I-Triangles.
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This is another triangular version of the Origami Checkerboard
puzzle. Again, it uses an unusual sheet of paper -- this
time in the form of a
isosceles
triangle colored just on one of its sides. It can be
easy obtained from a standard Origami square.
In this page you can see eight, 2-unit-side patterns.
Your challenge is to achieve every of the proposed
patterns in the minimum of single "book" folds;
see a sample. The final shape every time is a
flat isosceles triangle; no matter
what pattern will be at its back. Numbers next to the
patterns indicate the minimal known numbers of folds
necessary to perform them.
Write
us if you can improve any of these results.
All the solutions were found by Keiichiro Ishino.
Also, there are 455 3-unit-side patterns that can be
obtained using an Origami isosceles triangle, and one
day they will be posted as well. This exact number has
been calculated by Keiichiro Ishino.
***
Even much more difficult challenges can be finding all
the 4-unit-side checkered I-triangles and their minimal
solutions. Recently, Keiichiro Ishino calculated that
there are 187,343 substantially different 4-unit-side
checkered I-triangles. Part of them have their solutions
quite similar to the respective 3-unit-side checkered
I-triangles described here, but it is obvious that most
of them are rather difficult to be optimized. |
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