BMAD 65 Posted September 18, 2013 Report Share Posted September 18, 2013 Hang a cube from one of its vertices. Now, if you slice it horizontally through its center, what 2-d shape will the slice yield? What if you do this with a 4-dimensional cube, i.e., a tesseract? The slice will yield a 3-dimensional object--- what does it look like? Quote Link to post Share on other sites
0 DeGe 9 Posted September 18, 2013 Report Share Posted September 18, 2013 a rectangle Quote Link to post Share on other sites
0 BMAD 65 Posted September 18, 2013 Author Report Share Posted September 18, 2013 a rectangle If the cube was laying flat you would be right. But hanging it by a vertex causes a different shape. Quote Link to post Share on other sites
0 DeGe 9 Posted September 19, 2013 Report Share Posted September 19, 2013 If the cube was laying flat you would be right. But hanging it by a vertex causes a different shape. Aha, I answered for hanging by an edge and not vertex. Quote Link to post Share on other sites
0 bonanova 85 Posted September 20, 2013 Report Share Posted September 20, 2013 a hexagon. Can you hang a 4-d object in 3-d space? Quote Link to post Share on other sites
0 jordge 2 Posted September 20, 2013 Report Share Posted September 20, 2013 Hexagon - Hanging it from one vertices will cause another to be at the very bottom. The remaining six vertices will be equidistant from a horizontal plane cut through the center, three above and three below. All six sides of the cube will pass through the horizontal plane, each with the same percentage of their area above or below the plane. (Three will be reversed from the other three) The shape created on the horizontal plane will have six sides with equal length and equal angles between then - Hexagon Quote Link to post Share on other sites
0 BMAD 65 Posted September 23, 2013 Author Report Share Posted September 23, 2013 (edited) now what about the tesseract? Presume the same action were possible Edited September 23, 2013 by BMAD Quote Link to post Share on other sites
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