types of symmetry and definition of symmetry
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Types:
1Euclidean symmetries in general
2Reflectional symmetry
3Point reflection and other involutive isometries
4Rotational symmetry
5Translational symmetry6Glide reflection symmetry
6.
1Rotoreflection symmetry
7Helical symmetry
8Double rotation symmetry
9Non-isometric symmetries
10Scale symmetry and fractals
11Abstract symmetry
11.1Klein's view
11.2Thurston's view1
2References
Definition:
A geometric object has symmetry if there is an "operation" or "transformation" (such as an isometry or affine map) that maps the figure/object onto itself; i.e., it is said that the object has an invariance under the transform
1Euclidean symmetries in general
2Reflectional symmetry
3Point reflection and other involutive isometries
4Rotational symmetry
5Translational symmetry6Glide reflection symmetry
6.
1Rotoreflection symmetry
7Helical symmetry
8Double rotation symmetry
9Non-isometric symmetries
10Scale symmetry and fractals
11Abstract symmetry
11.1Klein's view
11.2Thurston's view1
2References
Definition:
A geometric object has symmetry if there is an "operation" or "transformation" (such as an isometry or affine map) that maps the figure/object onto itself; i.e., it is said that the object has an invariance under the transform
Answered by
1
Answer:
Objects are said to be symmetrical if their pre-image and image have the same size and shape, but are either mirror images of each other or one has been rotated to go in a different direction from the first. There are three basic types of symmetry: reflection symmetry, rotational symmetry, and point symmetry.
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