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In geometry, a point reflection (also called a point inversion or central inversion) is a transformation of affine space in which every point is reflected across a specific fixed point. When dealing with crystal structures and in the physical sciences the terms inversion symmetry, inversion center or centrosymmetric are more commonly used.
- Reflection (physics)
Reflection is the change in direction of a wavefront at an...
- Reflection (mathematics)
Point Q is the reflection of point P through the line AB. In...
- Reflection
Reflection is the change in direction of a wave at a...
- Reflection (physics)
In geometry, a point reflection (also called a point inversion or central inversion) is a transformation of affine space in which every point is reflected across a specific fixed point. When dealing with crystal structures and in the physical sciences the terms inversion symmetry, inversion center or centrosymmetric are more commonly used.
A point reflection is just a type of reflection. In standard reflections, we reflect over a line, like the y-axis or the x-axis.For a point reflection, we actually reflect over a specific point, usually that point is the origin .
Definition. The reflection of a point, line, or a figure is the mirrored image of it along some line, plane, etc. For example, in two dimensions, reflecting a line over another line results in a second line. In the figure below, the line y=3x y = 3x is reflected over the line y=x y = x, resulting in the line y=\frac {x} {3}. y = 3x.
