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All four dimensions are necessary for strength and stability. [3] Other models of hauora have been designed. For example, in 1997, Lewis Moeau, iwi leader and later cultural advisor for the Prime Minister suggested that a fifth dimension, whenua (connection with the land), be added to the original model. [4]
In dimension 4, compact manifolds can have a countably-infinite number of non-diffeomorphic smooth structures. Four is the only dimension n for which R n can have an exotic smooth structure. R 4 has an uncountable number of exotic smooth structures; see exotic R 4. The solution to the smooth Poincaré conjecture is known in all dimensions other ...
The convex regular 4-polytopes can be ordered by size as a measure of 4-dimensional content (hypervolume) for the same radius. Each greater polytope in the sequence is rounder than its predecessor, enclosing more content [5] within the same radius. The 4-simplex (5-cell) is the limit smallest case, and the 120-cell is the largest.
Low dimension manifolds (dimensions 2 and 3) admit geometry. Middle dimension manifolds (dimension 4 differentiably) exhibit exotic phenomena. High dimension manifolds (dimension 5 and more differentiably, dimension 4 and more topologically) are classified by surgery theory.
Sunday's loss was Chicago's fourth straight following a 4-2 start and moved the Bears further out of the playoff picture. And Eberflus, again, is facing a round of difficult questions for why a ...
Net. In geometry, the 120-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol {5,3,3}. It is also called a C 120, dodecaplex (short for "dodecahedral complex"), hyperdodecahedron, polydodecahedron, hecatonicosachoron, dodecacontachoron [1] and hecatonicosahedroid.
The four at-large teams that have received first-round games are No. 3 Notre Dame, No. 4 Texas, No. 5 Penn State and No. 7 Ohio State. Of the four first-round sites, ...
Just in the last four years, school shootings have killed more than 200 people and injured more than 600, according to a CBS News analysis of the K-12 School Shooting Database.