![]() Resources: Sweet Briar College, Professor ChristopherL.C.E. Thisexample is comparable to a 2-D D16 or (*16) wheel pattern. ![]() Three of the four polygons above have a nontrivial rotational symmetry. Rotational Symmetry of a Figure: A nontrivial rotational symmetry of a figure is a rotation of the plane that maps the figure back to itself such that the rotation is greater than but less than. The mirrors pass throughthis axis, and half of them contain the blue lines (right photograph)while the other half are exactly between the blue lines. Students may have measured angles or used patty paper to prove the symmetry. Reflection symmetry states that if there is one line & it divides a figure into two. Symmetry: The center of this 3-D rotation isthe central vertical axis through the dome. Reflection Symmetry is that type of symmetry that deals with reflections. ![]() The other threemirrors contain opposite vertices of the visibile hexagon. Three mirrors arethe roads that run through the center of the city. Symmetry: The center of this seemingly D6 or(*6) wheel pattern is the middle of the city. 51.Īrchitecture Type: Aerial view of city layout A shape which can be divided by a straight line, so that each part is the mirror image of the other has. Symmetry: The center is the building in themiddle of the courtyard, and the mirrors each contain a vertex.The Pentagon is comparable to a D5 or (*5) wheel pattern. This symmetry typeis comparable to dihedral wheel patterns but can be either 2-Dor 3-D. In rotational and reflectional symmetry, thereis a central point that is the center of rotation and the pointof intersection of the reflection mirrors. ![]() Rotational and Reflectional Symmetry MATH 7210 : Foundations of GeometryII University of Georgia, Spring2001 Dr. ![]()
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