From cube-lovers-errors@mc.lcs.mit.edu Wed Aug 26 12:59:48 1998 Return-Path: Received: from sun28.aic.nrl.navy.mil by mc.lcs.mit.edu (8.8.8/mc) with SMTP id MAA15433; Wed, 26 Aug 1998 12:59:48 -0400 (EDT) Precedence: bulk Errors-To: cube-lovers-errors@mc.lcs.mit.edu Date: Wed, 26 Aug 1998 13:20:41 +0100 From: David Singmaster Organization: Computing & Maths South Bank Univ To: cube-lovers@ai.mit.edu Message-Id: <009CB47C.C9309B92.16@ice.sbu.ac.uk> Subject: depicting a cube 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. I'll try to make a drawing. /| |\ / | / \ | \ / | / \ | \ | / / \ \ | | / |\ /| \ | |/ | \ / | \| | \ / | \ | / \ | / \|/ / \ / \ / \ \ / \ / \ / This is a bit crude, but it may be better when printed? if one puts in more horizontal space, it might look better. /| |\ / | / \ | \ / | / \ | \ | / / \ \ | | / |\ /| \ | |/ | \ / | \| | \ / | \ | / \ | / \|/ / \ / \ / \ \ / \ / \ / Well, that's a bit better, but one can't get it perfect on an orthogonal grid. DAVID SINGMASTER, Professor of Mathematics and Metagrobologist School of Computing, Information Systems and Mathematics Southbank University, London, SE1 0AA, UK. Tel: 0171-815 7411; fax: 0171-815 7499; email: zingmast or David.Singmaster @sbu.ac.uk