Improper Rotation

Author:   Frederic P. Miller ,  Agnes F. Vandome ,  John McBrewster
Publisher:   VDM Publishing House
ISBN:  

9786130683894


Pages:   92
Publication Date:   24 April 2010
Format:   Paperback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Improper Rotation


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Overview

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In 3D geometry, an improper rotation, also called rotoreflection or rotary reflection is, depending on context, a linear transformation or affine transformation which is the combination of a rotation about an axis and a reflection in a plane perpendicular to the axis.Equivalently it is the combination of a rotation and an inversion in a point on the axis. Therefore it is also called a rotoinversion or rotary inversion.In both cases the operations commute. Rotoreflection and rotoinversion are the same if they differ in angle of rotation by 180 , and the point of inversion is in the plane of reflection.An improper rotation of an object thus produces a rotation of its mirror image. The axis is called the rotation-reflection axis. This is called an n-fold improper rotation if the angle of rotation is 360 /n. The notation Sn (S for Spiegel, German for mirror) denotes the symmetry group generated by an n- fold improper rotation. The notation is used for n-fold rotoinversion, i.e. rotation by an angle of rotation of 360 /n with inversion.

Full Product Details

Author:   Frederic P. Miller ,  Agnes F. Vandome ,  John McBrewster
Publisher:   VDM Publishing House
Imprint:   VDM Publishing House
Dimensions:   Width: 15.20cm , Height: 0.50cm , Length: 22.90cm
Weight:   0.148kg
ISBN:  

9786130683894


ISBN 10:   6130683898
Pages:   92
Publication Date:   24 April 2010
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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