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Polygon with 17 edges
In geometry, a heptadecagon, septadecagon or 17-gon is a seventeen-sided polygon. A regular heptadecagon is represented by the Schläfli symbol {17}. As
Heptadecagon
Circle associated with a quadratic equation
is a similar method involving Carlyle circles to construct regular heptadecagons. The figure to the right illustrates the procedure. To construct a regular
Carlyle_circle
Tetradecagon – 14 sides Pentadecagon – 15 sides Hexadecagon – 16 sides Heptadecagon – 17 sides Octadecagon – 18 sides Enneadecagon [de] – 19 sides Icosagon
List of two-dimensional geometric shapes
List_of_two-dimensional_geometric_shapes
German polymath and scholar (1777–1855)
When Gauss was only 19 years old, he proved the construction of the heptadecagon, the first progress in regular polygon construction in over 2000 years
Carl_Friedrich_Gauss
Plane figure bounded by line segments
pentadecagon (or pentakaidecagon) 15 hexadecagon (or hexakaidecagon) 16 heptadecagon (or heptakaidecagon) 17 Constructible polygon octadecagon (or octakaidecagon)
Polygon
Natural number
7295. 2,147,483,647 (231-1) Power of two Equilateral triangle Pentagon Heptadecagon (17-sides) 257-gon 65537-gon Loomis, Paul; Plytage, Michael; Polhill
4,294,967,295
Polygon with 65537 sides
{65537}{2}}\right\rfloor =32768} . Circle Equilateral triangle Pentagon Heptadecagon (17-sides) 257-gon Johann Gustav Hermes (1894). "Über die Teilung des
65537-gon
Study of geometrical constructions
2011. Weisstein, Eric W. "Heptadecagon." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Heptadecagon.html Hess, Adrien L (Mar–Apr
Geometrography
Hendecagon Dodecagon Tridecagon Tetradecagon Pentadecagon Hexadecagon Heptadecagon Octadecagon Enneadecagon Icosagon Hectogon Chiliagon Monogon Digon star
List_of_mathematical_shapes
Geometric model of the planar projection of the physical universe
Schläfli {9} {10} {11} {12} {13} {14} Image Name Pentadecagon Hexadecagon Heptadecagon Octadecagon Enneadecagon Icosagon ...n-gon Schläfli {15} {16} {17} {18}
Euclidean_plane
Natural number
lucky numbers of Euler. Since seventeen is a Fermat prime, regular heptadecagons can be constructed with a compass and unmarked ruler. This was proven
17_(number)
N-th root of the product of n numbers
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
Geometric_mean
tetrakaidecagon 15 pentadecagon pentakaidecagon 16 hexadecagon hexakaidecagon 17 heptadecagon heptakaidecagon septendecagon 18 octadecagon octakaidecagon 19 enneadecagon
List_of_polygons
[12] D13, [13] D14, [14] Coxeter Image Name Pentadecagon Hexadecagon Heptadecagon Octadecagon Enneadecagon Icosagon p-gon Schläfli {15} {16} {17} {18}
List_of_regular_polytopes
Diary of Carl F. Gauss's mathematical discoveries
partes etc.", which records Gauss's discovery of the construction of a heptadecagon by ruler and compass. Entry 18, dated 1796, July 10, states "ΕΥΡΗΚΑ!
Gauss's_diary
Number with an integer power equal to 1
{\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
Root_of_unity
English mathematician (1863–1948)
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
Herbert_William_Richmond
and straightedge construction. For example, the construction of the heptadecagon (a formula that furthered his reputation) depended on the algebra of
Gaussian_period
Method of drawing geometric objects
sine or cosine) is constructible as a number. For example, the regular heptadecagon (the seventeen-sided regular polygon) is constructible because cos
Straightedge and compass construction
Straightedge_and_compass_construction
Hendecagon Dodecagon Triskaidecagon Tetradecagon Pentadecagon Hexadecagon Heptadecagon Octadecagon Enneadecagon Icosagon Icosihenagon Icosidigon Icositrigon
List of polygons, polyhedra and polytopes
List_of_polygons,_polyhedra_and_polytopes
Isogonal polytope with uniform facets
Image Name Dodecagon Tridecagon Tetradecagon Pentadecagon Hexadecagon Heptadecagon Octadecagon Enneadecagon Icosagon Schläfli {12} t{6} {13} {14} t{7} {15}
Uniform_polytope
March: Carl Friedrich Gauß determines a construction method for the heptadecagon. 7 August: Württemberg cedes its property on the left bank of the Rhine
1796_in_Germany
constructibility by ruler and compass of regular polygons, including the heptadecagon. April 8 – He becomes the first to prove the quadratic reciprocity law
1796_in_science
1893 book on making polygons with origami
times these numbers, and the construction by Carl Friedrich Gauss of the heptadecagon, it also provides a paper-folding construction of the regular nonagon
Geometric Exercises in Paper Folding
Geometric_Exercises_in_Paper_Folding
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