Corrado De Concini has written: 'Topics in hyperplane arrangements, polytopes and box-splines' -- subject(s): Combinatorial geometry, Approximation theory, Partitions (Mathematics), Hyperspace, Polytopes 'Hodge algebras'
Harold Scott Macdonald Coxeter has written: 'The real projective plane' 'Generators and relations for discrete groups' -- subject(s): Group theory 'Regular complex polytopes' -- subject(s): Polytopes
Helmut Emde has written: 'Homogene Polytope' -- subject(s): Polytopes
Koji Miyazaki has written: 'An adventure in multidimensional space' -- subject(s): Space (Art), Polyhedra, Visual perception, Form (Aesthetics), Polytopes, Polygons
To explain multidimensional concepts is difficult. First a shadow is a two dimensional representation of a three dimensional object. You have to turn the object to see more than one side of the 3D object. A 3D object is a representation of a 4th dimensional object and a 4th dimensional objects represents the 5th dimension. To see pictures represented graphically a computer can help. If we research polytopes it will give examples.
Number of sides of a hypercube depends on the level. A point is a hypercube of dimension zero. If one moves this point one unit length, it will sweep out a line segment, which is a unit hypercube of dimension one. If one moves this line segment its length in a perpendicular direction from itself; it sweeps out a two-dimensional square. If one moves the square one unit length in the direction perpendicular to the plane it lies on, it will generate a three-dimensional cube. This can be generalized to any number of dimensions. For example, if one moves the cube one unit length into the fourth dimension, it generates a 4-dimensional unit hypercube (a unit tesseract). You can research polytopes for many examples.
he was a mean person who lived with mean people in a mean castle on a mean hill in a mean country in a mean continent in a mean world in a mean solar system in a mean galaxy in a mean universe in a mean dimension
you mean what you mean
Mean is the average.
Mean
It mean what you don't what does it mean.
The arithmetic mean is a weighted mean where each observation is given the same weight.