Download presentation

Presentation is loading. Please wait.

Published byErnesto Payan Modified over 3 years ago

1
© T Madas

2
We can extend the idea of rotational symmetry in 3 dimensions:

3
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

4
© T Madas In general in 3D space: A solid has rotational symmetry if the transformation of rotation about one or more axes, leave the solid unchanged order 4 order 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.

5
© T Madas In general in 3D space: A solid has rotational symmetry if the transformation of rotation about one or more axes, leave the solid unchanged infinite order infinite axes with order 2 infinite axes infinite 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.

6
© T Madas Is it possible to have rotational symmetry in 3D space without a single axes of rotational symmetry? No axes of rotational symmetry?

7
© T Madas Is it possible to have rotational symmetry in 3D space without a single axes of rotational symmetry? No axes of rotational symmetry?

8
© T Madas

9
Look at the following shapes Label them using the following code: R = it has rotational symmetry N = no rotational symmetry 0 = no plane of symmetry 1 = 1 plane of symmetry 2 = 2 planes of symmetry 3 = 3 planes of symmetry 4 = 4 planes of symmetry etc E.g. N2: no rotational symmetry, 2 planes of symmetry

10
© T Madas

12
Look at the following shapes Label them using the following code: R = it has rotational symmetry N = no rotational symmetry 0 = no plane of symmetry 1 = 1 plane of symmetry 2 = 2 planes of symmetry 3 = 3 planes of symmetry 4 = 4 planes of symmetry etc E.g. N2: no rotational symmetry, 2 planes of symmetry

13
© T Madas 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14.

14
© T Madas

16
Copy each shape on isometric paper Label them using the following code: R = it has rotational symmetry N = no rotational symmetry E.g. N2: no rotational symmetry, 2 planes of symmetry 0 = no plane of symmetry 1 = 1 plane of symmetry 2 = 2 planes of symmetry 3 = 3 planes of symmetry 4 = 4 planes of symmetry etc Copy each shape on isometric paper Label them using the following code: R = it has rotational symmetry N = no rotational symmetry E.g. N2: no rotational symmetry, 2 planes of symmetry 0 = no plane of symmetry 1 = 1 plane of symmetry 2 = 2 planes of symmetry 3 = 3 planes of symmetry 4 = 4 planes of symmetry etc 1 2 3 4 5 6 7 1 2 3 4 5 6 7

17
© T Madas

Similar presentations

OK

The 10 two-dimensional crystallographic point groups Interactive exercise Eugen Libowitzky Institute of Mineralogy and Crystallography 2012.

The 10 two-dimensional crystallographic point groups Interactive exercise Eugen Libowitzky Institute of Mineralogy and Crystallography 2012.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on operating system services Ppt on college management system Ppt on special types of chromosomes in the karyotype Ppt on content development services Ppt on maintenance of diesel engine Ppt on travel and tourism industry in india Ppt on magnetic field lines class 10 Ppt on census 2001 of india Ppt on business model of dell Ppt on beer lambert law calculator