© T Madas. We can extend the idea of rotational symmetry in 3 dimensions:
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Transcript of © T Madas. We can extend the idea of rotational symmetry in 3 dimensions:
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© T Madas
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© T Madas
We can extend the idea of rotational symmetry in 3 dimensions:
![Page 3: © T Madas. We can extend the idea of rotational symmetry in 3 dimensions:](https://reader036.fdocuments.in/reader036/viewer/2022062515/56649c795503460f9492e3cf/html5/thumbnails/3.jpg)
© T Madas
We can extend the idea of rotational symmetry in 3 dimensions:
We say that this solid has rotational symmetry,about the line shown.
This line is sometimes called axis of symmetry
The order of this rotational symmetry is 4,about the line shown
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© T Madas
In general in 3D space:A solid has rotational symmetry ifthe transformation of rotation about one or more axes, leave the solid unchanged
order 4
order 4
order 2order 2
If a solid has two or more axes of rotational symmetry which meet at a point, then the solid is said to have point symmetry.
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© T Madas
In general in 3D space:A solid has rotational symmetry ifthe transformation of rotation about one or more axes, leave the solid unchanged
infinite order
infinite axeswith order 2
infinite axesinfinite order
If a solid has two or more axes of rotational symmetry which meet at a point, then the solid is said to have point symmetry.
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© T Madas
Is it possible to have rotational symmetry in 3D space without a single axes of rotational symmetry?
No axes of rotational symmetry?
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© T Madas
Is it possible to have rotational symmetry in 3D space without a single axes of rotational symmetry?
No axes of rotational symmetry?
![Page 8: © T Madas. We can extend the idea of rotational symmetry in 3 dimensions:](https://reader036.fdocuments.in/reader036/viewer/2022062515/56649c795503460f9492e3cf/html5/thumbnails/8.jpg)
© T Madas
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© T Madas
Look at the following shapesLabel them using the following code:
R = it has rotational symmetryN = no rotational symmetry
0 = no plane of symmetry1 = 1 plane of symmetry2 = 2 planes of symmetry3 = 3 planes of symmetry4 = 4 planes of symmetry etc
E.g. N2: no rotational symmetry, 2 planes of symmetry
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© T Madas
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© T Madas
![Page 12: © T Madas. We can extend the idea of rotational symmetry in 3 dimensions:](https://reader036.fdocuments.in/reader036/viewer/2022062515/56649c795503460f9492e3cf/html5/thumbnails/12.jpg)
© T Madas
Look at the following shapesLabel them using the following code:
R = it has rotational symmetryN = no rotational symmetry
0 = no plane of symmetry1 = 1 plane of symmetry2 = 2 planes of symmetry3 = 3 planes of symmetry4 = 4 planes of symmetry etc
E.g. N2: no rotational symmetry, 2 planes of symmetry
![Page 13: © T Madas. We can extend the idea of rotational symmetry in 3 dimensions:](https://reader036.fdocuments.in/reader036/viewer/2022062515/56649c795503460f9492e3cf/html5/thumbnails/13.jpg)
© T Madas
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© T Madas
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© T Madas
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© T Madas
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© T Madas