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A MARKED STRAIGHTEDGE AND COMPASS CONSTRUCTION OF THE REGULAR ...
Our goal is to give a very short construction of the regular heptagon by neusis.
Construction of a regular heptagon - Eclecticon
Connect up with a ruler the marked points on the circle, plus the triangle vertex used for the arcs. You will form an (approximate) heptagon i.e. a seven-sided polygon. Hence the construction is not perfect, but the error is only of the order of a tenth of a degree.
heptagon.dvi
Using a straightedge and compass to draw a regular heptagon with mathematical precision is, alongside angle trisections and cube doublings, one of classic Greek geometric construction problems.
Unified constructions of the regular Heptagon and Triskaidecagon
An elegant construction of the heptagon by S. Adlaj shows a 3-fold symmetry related to a Galois group. Based on the later construction, in this article one more for the heptagon and two more for the triskaidecagon are presented, all using angle trisection.
Golden Fields: A Case for the Heptagon - JSTOR
One of the best-kept secrets in plane geometry is the family of ratios of diagonal to side in the regular polygons. So much attention has been given to one member of this family, the golden ratio b in the pentagonal case, that the others live in undeserved obscurity.
The heptagon constructed! - semjonadlaj.com
The three formed vertices of the three constructed parallelograms diagonally opposing their common vertex (at the center) constitute three vertices p of a heptagon, which turns out to be inscribed in a unit (black) circle, which center lies at a distance 2=3 from the center.
Microsoft Word - 3 - 18_2_ _2024_, 87-93.doc - frdint.com
Abstract In this note, we present a simple elementary approximate construction of the regular heptagon with ruler and compass. The original idea goes back to calculations which I have made during school time in 1967 at the age of 14 years.
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