Star Space -2013.08.02
"Star Space" is my newest designed puzzle. This puzzle is based on the pentagons.
Will a regular pentagon tile a plane? The answer is NO.
But, it is possible if allowing for some kinds of combinated rhombus space.
A “tetrapept” is a figure made of 4 regular pentagons joined edge to edge.
There are seven kinds of figures. 1)
[Goal]
The final goal is to fit Two Stars with 2 sets of 7 tetrapents into the tray. But, the followings are also the goals.
- Fit 14 tetrapents into the tray (No Stars)
- Fit 14 tetrapents and One Star into the tray
Acctually, I have made the mechanical version of this puzzle.
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| Star Space |
[Solution]
There are lots of solutions. The followings are the examples.
The number of solutions of this puzzle is not known yet.
If you find Three Stars Solution, please make sure to email to me!
At present, no one knows whether it exists or not.
| No Stars Solution: |
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| One Star Solution: |
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| Two Stars Solution: |
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--Koshi Arai (2013.08.02)
[Refference]
- Tetrapents:
George Sicherman's Site:
Catalogue of Polypents http://www.recmath.org/PolyCur/polypents/index.html
Polyform Curiosities http://recmath.org/PolyCur/polycur.html