From cube-lovers-errors@mc.lcs.mit.edu Thu Aug 27 21:08:23 1998 Return-Path: Received: from sun28.aic.nrl.navy.mil by mc.lcs.mit.edu (8.8.8/mc) with SMTP id VAA26187; Thu, 27 Aug 1998 21:08:23 -0400 (EDT) Precedence: bulk Errors-To: cube-lovers-errors@mc.lcs.mit.edu Message-Id: <35E5E400.6033@ameritech.net> Date: Thu, 27 Aug 1998 17:56:00 -0500 From: Hana Bizek Reply-To: hbizek@ameritech.net To: cube-lovers@ai.mit.edu Subject: Re: depicting a cube References: <009CB47C.C9309B92.16@ice.sbu.ac.uk> David Singmaster wrote: > With reference to Hana Bizek's reference to how one can show > all six faces of a cube, I found the following the most > satisfactory. View the F, U and R faces along the diagonal. Now > imagine the back faces 'exploded' out, i.e. moved outward along the > axes. When they are moved far enough, they can be seen. The effect > is that the cube seems to be suspended in front of a corner and the > three back seem to have been projected onto the walls and floor. A mirror can be placed on those walls and floor so that the design's B, L and D faces can be reflected off those surfaces. The design would need to stand on a glass-topped table, so that the D face can be reflected off the mirrorred floor. The whole setup could be photographed. Unfortunately, I do not have resources to implement this. I don't even own a glass-topped table! Here is a challenge for the programmers out there. Can you write an applet that will slowly rotate my design in order for a viewer to see F, B, R, L and U faces, then tilt it upward to expose the D face? Do these moves any way you want, just make sure a viewer can see it all.Thank tou very much. You can find three of my designs at http://www.ssie.binghamton.edu/~jirif/cube.html. Two designs there are cubical. Opposite faces are identical, both in color and geometrical pattern. To wit: e. g. F face is exactly identical to B face, etc. This property holds for a majority of these designs, but there are exceptions. Hana Bizek {hbizek@ameritech.net}