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OverviewPlease 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 DetailsAuthor: Frederic P. Miller , Agnes F. Vandome , John McBrewsterPublisher: VDM Publishing House Imprint: VDM Publishing House Dimensions: Width: 15.20cm , Height: 0.50cm , Length: 22.90cm Weight: 0.148kg ISBN: 9786130683894ISBN 10: 6130683898 Pages: 92 Publication Date: 24 April 2010 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print 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. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |