The Unit Square [0,1]X[0,1]
The Unit Square, [0,1]x[0,1] is a two dimensional region, which includes
all points both of whose coordinates are between 0 and 1. It has four
boundaries, which are Mapped Regions: [0,1)x[0], (0,1]x[1], [0]x(0,1],
and [1]x[0,1). In terms of the Base Classes:
- Base Space Dimension = 2.
- isitInChart(x)={x>=0 and x<=1 and y>=0 and y<=1}.
- isitOpen()=FALSE.
- getNumberOfBoundaries()=4.
- getBoundary(0)= The Mapped Region [0,1)x[0].
- getBoundary(1)= The Mapped Region (0,1]x[1].
- getBoundary(2)= The Mapped Region [0]x(0,1].
- getBoundary(3)= The Mapped Region [1]x[0,1).
Regions are derived from Manifolds, and the other member functions
that a Manifold requires will be provided. The Manifold will
not be discrete, and will be differentiable.
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