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Heptadecagon information


Regular heptadecagon
A regular heptadecagon
TypeRegular polygon
Edges and vertices17
Schläfli symbol{17}
Coxeter–Dynkin diagrams
Symmetry groupDihedral (D17), order 2×17
Internal angle (degrees)≈158.82°
PropertiesConvex, cyclic, equilateral, isogonal, isotoxal
Dual polygonSelf

In geometry, a heptadecagon, septadecagon or 17-gon is a seventeen-sided polygon.

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Heptadecagon

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In geometry, a heptadecagon, septadecagon or 17-gon is a seventeen-sided polygon. A regular heptadecagon is represented by the Schläfli symbol {17}. As...

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Carlyle circle

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is a similar method involving Carlyle circles to construct regular heptadecagons. The figure to the right illustrates the procedure. To construct a regular...

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Polygon

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pentadecagon (or pentakaidecagon) 15 hexadecagon (or hexakaidecagon) 16 heptadecagon (or heptakaidecagon) 17 Constructible polygon octadecagon (or octakaidecagon)...

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Euclidean plane

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Schläfli {9} {10} {11} {12} {13} {14} Image Name Pentadecagon Hexadecagon Heptadecagon Octadecagon Enneadecagon Icosagon ...n-gon Schläfli {15} {16} {17} {18}...

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List of polygons

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tetrakaidecagon 15 pentadecagon pentakaidecagon 16 hexadecagon hexakaidecagon 17 heptadecagon heptakaidecagon 18 octadecagon octakaidecagon 19 enneadecagon enneakaidecagon...

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1796 in Germany

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March: Carl Friedrich Gauß determines a construction method for the heptadecagon. 7 August: Württemberg cedes its property on the left bank of the Rhine...

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List of mathematical shapes

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Hendecagon Dodecagon Tridecagon Tetradecagon Pentadecagon Hexadecagon Heptadecagon Octadecagon Enneadecagon Icosagon Hectogon Chiliagon Regular polygon...

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Geometric mean

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squaring the circle by S.A. Ramanujan and in the construction of the heptadecagon with "mean proportionals". The geometric mean has been used in choosing...

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Carl Friedrich Gauss

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last chapter, Gauss gives proof for the constructibility of a regular heptadecagon (17-sided polygon) with straightedge and compass by reducing this geometrical...

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Gaussian period

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and straightedge construction. For example, the construction of the heptadecagon (a formula that furthered his reputation) depended on the algebra of...

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Straightedge and compass construction

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sine or cosine) is constructible as a number. For example, the regular heptadecagon (the seventeen-sided regular polygon) is constructible because cos ⁡...

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List of regular polytopes

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[12] D13, [13] D14, [14] Dynkin Image Name Pentadecagon Hexadecagon Heptadecagon Octadecagon Enneadecagon Icosagon  ...p-gon  Schläfli {15} {16} {17}...

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Root of unity

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{\displaystyle \pm {\frac {\sqrt {2}}{2}}\pm i{\frac {\sqrt {2}}{2}}.} See Heptadecagon for the real part of a 17th root of unity. If z is a primitive nth root...

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Geometrography

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2011. Weisstein, Eric W. "Heptadecagon." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Heptadecagon.html Hess, Adrien L (Mar–Apr...

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1796 in science

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constructibility by ruler and compass of regular polygons, including the heptadecagon. April 8 – He becomes the first to prove the quadratic reciprocity law...

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Herbert William Richmond

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One of his most popular works is an exact construction of the regular heptadecagon in 1893 (which was calculated before by Carl Friedrich Gauss). Herbert...

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Uniform polytope

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Image Name Dodecagon Tridecagon Tetradecagon Pentadecagon Hexadecagon Heptadecagon Octadecagon Enneadecagon Icosagon Schläfli {12} t{6} {13} {14} t{7} {15}...

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Geometric Exercises in Paper Folding

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times these numbers, and the construction by Carl Friedrich Gauss of the heptadecagon, it also provides a paper-folding construction of the regular nonagon...

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