Difference between revisions of "Symmetry"
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Symmetry is a term connected to the ideas of [[Invariance]], [[Equivalence]], [[Reversible logic]], and [[Conservation]]. | Symmetry is a term connected to the ideas of [[Invariance]], [[Equivalence]], [[Reversible logic]], and [[Conservation]]. | ||
=Symmetries as a collection of possibilities= | |||
According to [[Mathemaniac]], symmetries can be thought of as mathematical operands that gets to be manipulated through some operations that preserves the properties of being symmetrical. These four most general properties are: | |||
# Closure: Symmetrical operations on symmetries always create symmetries | |||
# Associativity: Symmetries composition with symmetries are symmetries Associative | |||
# Identity: Doing nothing is a symmetrical operation | |||
# Inverse Exists: Symmetrical operations can be undone, and returns to the original symmetry. | |||
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Revision as of 13:15, 26 July 2021
Symmetry is a term connected to the ideas of Invariance, Equivalence, Reversible logic, and Conservation.
Symmetries as a collection of possibilities
According to Mathemaniac, symmetries can be thought of as mathematical operands that gets to be manipulated through some operations that preserves the properties of being symmetrical. These four most general properties are:
- Closure: Symmetrical operations on symmetries always create symmetries
- Associativity: Symmetries composition with symmetries are symmetries Associative
- Identity: Doing nothing is a symmetrical operation
- Inverse Exists: Symmetrical operations can be undone, and returns to the original symmetry.
The most excellent tutorial video on Symmetry so far
{{#ev:youtube|EsBn7G2yhB8}}