Dihedral Kaleidoscopes

Series: College Geometry Series

Duration: 13

Year Published: 1966

Creator: U of Minnesota Col Geometry Project

Format: 16mm

Color: Color

Description: Uses mirrors at varying angles and colored geometric reflections to illustrate principles of symmetry operations. Illustrates that mirror angles of pi over 2, pi over 3, and pi over 4 produce dihedral groups of order 4, 6, and 8 respectively and points out rotational subgroups. Shows how, if three mirrors with dihedral angles of pi over 3 are set perpendicular to a plane, a true kaleidoscope is formed by each pair of angles. Concludes with a series of colored illustrations of tessellation.


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