It can be tempting to assume that your intuitions about three-dimensional space carry over to higher-dimensional realms. After all, adding another dimension simply creates a new direction to move ...
In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space. When you gaze out ...
Ok, say I have many pentagons. <BR><BR>I want to build an orb or sphere or whatever a 3 dimensional ball out of pentagons.<BR><BR>Is there a predetermined limit to the # of pentagon shaped pieces I ...
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