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3 DOn 2 DGoban
   

Representing 3-D shapes on 2-D surfaces and playing Go on it.

In this group are all those 3D shapes (cylinders, Möbius strips, Spheres, Toroids ..) which can be partially or completely represented on a 2D surface.

As an example, in it simplest form, a cylindrical goban can be imagined by connecting the left and right hand edges of the goban. This reduces the 'goban' to no corners and only two edges. This is of course perfectly playable on a normal goban, with a bit of imagination. Adding a half-twist (I.e. connecting A1 to T19) makes a Möbius strip, which cannot be represented in its entirety on a flat surface, but which a computer could easily show. (I.e. if you scroll to the left, then the pieces leaving the board on the right will appear 'upside down' on the left, etc.)

Another variation consists of connecting the top edge to the bottom, the left to the right. This makes a toriod (donut/doughnut). Again, you can visualise this on a normal goban. Adding a half twist on one or both edges makes other shapes.. etc.

Common for all these is that play is still 2D (I.e. liberties link the points in only two dimensions).

On a slightly different note, a 'flattened' cylindrical board has been made where all 'points' have four 'liberties'. You can easily imagine it being played on a cylinder, but in addition to that, each point has four liberties, including the edge points. Check it out [ext] here.



This is a copy of the living page "3 DOn 2 DGoban" at Sensei's Library.
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