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This is because 65,537 is a Fermat prime, being of the form 2 2 n + 1 (in this case n = 4). Thus, the values cos π 65537 {\displaystyle \cos {\frac {\pi }{65537}}} and cos 2 π 65537 {\displaystyle \cos {\frac {2\pi }{65537}}} are 32768- degree algebraic numbers , and like any constructible numbers , they can be written in terms of ...
The highest symmetry irregular icosagons are d20, an isogonal icosagon constructed by ten mirrors which can alternate long and short edges, and p20, an isotoxal icosagon, constructed with equal edge lengths, but vertices alternating two different internal angles.
In music, form refers to the structure of a musical composition or performance.In his book, Worlds of Music, Jeff Todd Titon suggests that a number of organizational elements may determine the formal structure of a piece of music, such as "the arrangement of musical units of rhythm, melody, and/or harmony that show repetition or variation, the arrangement of the instruments (as in the order of ...
Women in Music play many roles and are responsible for a broad range of contributions in the industry. Women continue to shape movements, genres, and trends as composers, songwriters, instrumental performers, singers, conductors, and music educators. Women's music, which is created by and for women, can explore women's rights and feminism ...
Apart from the two infinite series of prismatic and antiprismatic symmetry, rotational icosahedral symmetry or chiral icosahedral symmetry of chiral objects and full icosahedral symmetry or achiral icosahedral symmetry are the discrete point symmetries (or equivalently, symmetries on the sphere) with the largest symmetry groups.
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Formed out of the male-dominated music scenes of jam music (in the case of Bonnaroo), late-’90s indie rock (Coachella), and early ’90s alternative and grunge (Lollapalooza), these festivals tend to celebrate diversity while dismissing the most popular pop acts — the ones who tend to dominate the charts and who tend so often to be female ...
The full symmetry of the regular form is r48 and no symmetry is labeled a1. The dihedral symmetries are divided depending on whether they pass through vertices ( d for diagonal) or edges ( p for perpendiculars), and i when reflection lines path through both edges and vertices.