Kharakov
June 9, 2008, 03:09 PM
For one, you might be confused by the terms, so I will clarify them:
squircle (sometimes pronounced quirkle): square circle, an object that has existence in some realities with greater than 2 dimensions of space
sphube (sometimes pronounced foob or fooby, see foobies.com for disambiguation of the other uses of the term): spherical cube, an object that has existence in some realities with greater than 3 dimensions of space
From another thread:
'In higher dimensional mathematics, a (mathematical) object can be both a square/cube and a circle/sphere depending on where it is viewed along the distortion axis (likewise, it can continue and take on different shapes as well, depending on the equation relating the distortion axis to the view of the object). Incidentally, if we include a perspective axis, in which from a certain perspective an object is in 2 locations upon the distortion axis, the object can be both (or more shapes) at the same time (at least according to equations, even if it can't physically exist in a 3d world (which ours may not be), although it is a mathematical reality).'
squircle (sometimes pronounced quirkle): square circle, an object that has existence in some realities with greater than 2 dimensions of space
sphube (sometimes pronounced foob or fooby, see foobies.com for disambiguation of the other uses of the term): spherical cube, an object that has existence in some realities with greater than 3 dimensions of space
From another thread:
'In higher dimensional mathematics, a (mathematical) object can be both a square/cube and a circle/sphere depending on where it is viewed along the distortion axis (likewise, it can continue and take on different shapes as well, depending on the equation relating the distortion axis to the view of the object). Incidentally, if we include a perspective axis, in which from a certain perspective an object is in 2 locations upon the distortion axis, the object can be both (or more shapes) at the same time (at least according to equations, even if it can't physically exist in a 3d world (which ours may not be), although it is a mathematical reality).'