7277
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1
2011-06-14T14:01:14
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Four identical robots and their enemies, the stick men, live in small universes based on squares with the opposites sides identified (i.e. corresponding to the same points in space) in various ways, as shown in the diagrams below:<br />
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Consider these universes. In which ways could the stick men shoot the robots? Which create a geometry which can be made in 3 dimensions out of a sheet of paper? Perhaps you might like to experiment with other universes?<br />
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<span style="font-style: italic;">Did you know ... ?</span>
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String theory suggests that each point we see in 3D space is in fact a higher dimensional surface wrapped up in very specific ways.</div>
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1)</p>
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<p>1st - torus. Shoot along any direction.</p>
<p>2nd - shoot diagonally right and up.</p>
<p>3rd - teabag, shoot diagonally up and left.</p>
<p>4th - straight to right</p>
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<p>2)</p>
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<p>First and third can be created out of a sheet of paper.</p>
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<p>3)</p>
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Weekly challenge 47: Weird universes
Consider these weird universes and ways in which the stick man can
shoot the robot in the back.
3D Geometry, Shape and Space
Geodesics
3D Geometry, Shape and Space
2D representations of 3D shapes
3D Geometry, Shape and Space
Torus
Collections
Weekly Challenge