Since it is explained quite clearly with three dimensional spheres there is certainly no need for these four dimensional spherical cones.
12.
Are you trying to pack 120 spheres onto a four dimensional sphere ?-Rainwarrior 08 : 44, 21 September 2007 ( UTC)
13.
The notations in this article are : lowercase bold for four dimensional vectors ( except for the four-gradient ), and tensor index notation.
14.
The interactions and dynamics of these 1-form and Grassmann valued parts of an E8 superconnection are described by the curvature and action over a four dimensional base manifold ."
15.
I believe that four dimensional equivalents exists for most ( all ? ) of the 28 in that article, but I'd like to find something more concrete on that.
16.
The theory starts at a Classical Relativistic level with the proposition of a new topology for the Universe ( a ligthspeed outwards traveling shockwave 3D Universe embedded in a four dimensional Cartesian spatial manifold ).
17.
If the hyperplane is moved through the shape, the three-dimensional slices can be combined, animated into a kind of four dimensional object, where the fourth dimension is taken to be time.
18.
In late 1970s, Emanuel Pimenta started developing a new graphic four dimensional musical notation inside Virtual Reality, which he called " virtual notations ", which would characterize good part of his musical production over the years.
19.
Since there exists in this four dimensional structure [ space-time ] no longer any sections which represent " now " objectively, the concepts of happening and becoming are indeed not completely suspended, but yet complicated .
20.
In the 1960s and 1970s Brans developed a complete and effective invariant classication of four dimensional Ricci at geometries, a type of post-Petrov approach [ 2 ], developing very early computer programs for symbolic manipulations [ 3 ].
