Symmetry Combinations
Versandkostenfrei!
Versandfertig in 6-10 Tagen
23,99 €
inkl. MwSt.
PAYBACK Punkte
12 °P sammeln!
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In 2D, mirror-image symmetry in combination with n-fold rotational symmetry, with the center of rotational symmetry on the line of symmetry, implies mirror-image symmetry with respect to lines of reflection rotated by multiples of 180°/n, i.e. n reflection lines which are radially spaced evenly (for odd n this already follows from applying the rotational symmetry to a single reflection axis, but it also holds for even n). The symmetry group is the dihedral group of o...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In 2D, mirror-image symmetry in combination with n-fold rotational symmetry, with the center of rotational symmetry on the line of symmetry, implies mirror-image symmetry with respect to lines of reflection rotated by multiples of 180°/n, i.e. n reflection lines which are radially spaced evenly (for odd n this already follows from applying the rotational symmetry to a single reflection axis, but it also holds for even n). The symmetry group is the dihedral group of order 2n. For n 2 an example is the n-sided regular polygon and various n-sided star polygons, including complex ones, which are a combination of simple ones for a divisor of n; also we have the simple "star" of n radial line segments (for even n this is a degenerate star polygon, for odd n it is not). Also multiple regular n-sided polygons with common center, differing by arbitrary rotations, as long as these rotation angles have mirror-image symmetry, e.g. two squares differing by a rotation angle of 10°, or three squares differing by two successive rotation angles of 10°.
Andere Kunden interessierten sich für
