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Tag Archives: polygon
Zonohedra, Zonish Polyhedra, and Another Puzzle
In a recent post, I showed many images of zonohedra, then challenged readers to figure out, from the images, what zonohedra are: polyhedra with only zonogons as faces. Zonogons, I then explained, are polygons with (A) even numbers of edges, … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polygon, polyhedra, polyhedron, zonish, zonogon, zonohedra, zonohedron
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Octagons Can Tile a Plane II
In April 2014, I found a tessellation of the plane which uses two kinds of octagons — both types equilateral, but only one type regular. Now, I have found two more ways to tessellate a plane with octagons, and these … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, octagon, plane, polygon, tessellate, tessellation, tile, tiling
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Two Colorings of a Tessellation Featuring Regular Polygons with 24 Sides
Posted in Mathematics
Tagged 24, geometry, Mathematics, polygon, regular, tessellation, tiling, twentyfour
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The Second of Dave Smith’s “Bowtie” Polyhedral Discoveries, and Related Polyhedra
Dave Smith discovered the polyhedron in the last post here, shown below, with the faces hidden, to reveal how the edges appear on the back side of the figure, as it rotates. (Other views of it may be found here.) … Continue reading
On the Possible Numbers of Vertices of Extended Convex Polygons
A few days ago, I came across the phrase, while surfing the Internet, “the extended quadrilateral has six vertices.” Not understanding this, I researched the matter, and found out what this phrase means. If the normal four vertices of a … Continue reading
Posted in Mathematics
Tagged extended, geometry, Mathematics, polygon, quadrilateral, vertex, vertices
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An Icosagon, with Its Diagonals
Posted in Art, Mathematics
Tagged 20gon, Art, diagonal, diagonals, geometric, geometrical, geometry, icosagon, mathematical, Mathematics, polygon
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Polygons Related to the Golden Ratio, and Associated Figures in Geometry, Part 2: Quadrilaterals
The golden ratio, also known as φ, has a value of [1 + sqrt(5)]/2, or ~1.61803. It is associated with a great many figures in geometry, and also appears in numerous other contexts. The most wellknown relationship between a geometric figure … Continue reading