Обложка Improper Rotation
Название книги:

Improper Rotation

Alphascript Publishing (2010-12-10 )

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ISBN-13:

978-613-0-68389-4

ISBN-10:
6130683898
EAN:
9786130683894
Язык Книги:
Английский
Краткое описание:
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.
Издательский Дом:
Alphascript Publishing
Веб-сайт:
https://www.alphascript-publishing.com/
Edited by:
Frederic P. Miller, Agnes F. Vandome, John McBrewster
Количество страниц:
92
Опубликовано:
2010-12-10
Акции:
В наличии
Категория:
Геометрия
Цена:
34.00 €
Ключевые слова:
geometry, rotary, reflection, Transformation, linear, symmetric

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