Search
Subject Categories:
 Art (423)
 Asperger's (32)
 Blogging (9)
 China and the Han (9)
 eBay (3)
 Education (89)
 Fiction (27)
 Geography (27)
 History (37)
 Humor (43)
 Life (352)
 Mandalas (119)
 Mathematics (1,174)
 Mental Health (71)
 Music (43)
 Mysteries (14)
 Politics (111)
 Quotations (63)
 Religion (58)
 Satire (7)
 Science and Scientists (115)
 Follow RobertLovesPi's Blog on WordPress.com
MostViewed Posts, Recently:

Recent Posts
 Meditating and Not
 Thoughts on Colonizing Space
 On Taxation, and Representation, in Public Education
 A Rhombic Dodecahedron, Made of Icosahedra, and Tall Triangular Antiprisms
 Honeycomb Made of Cuboctahedra and Octahedra
 Spectral Circles on a Cuboctahedron
 Spectral Circles on a Truncated Icosahedron
 Spectral Circles
 Heptagrammic
 June 13 Special Election in the PCSSD
Explore RobertLovesPi By Topic
Arkansas Art Asperger's Aspie astronomy atheism atheist chemistry chiral circle cluster compound cube cuboctahedron dodecahedron dual Education enneagon faceted faceting geometric geometrical geometrical art geometry Golden Ratio hexagon Humor humour icosahedron icosidodecahedral icosidodecahedron kite language life mandala mandalas math mathematical mathematical art Mathematics music nearmiss nonagon octagon octahedron op art pentagon physics politics polygon polyhedra polyhedral polyhedron quotation quote religion rhombic dodecahedron rhombicosidodecahedron rhombic triacontahedron rhombus school science snub dodecahedron star stellated stellation symmetry tessellation tetrahedron tiling triangle truncated icosahedron USA words zonohedronHit Counter
 235,272 hits
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
1 Comment
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
Leave a comment
Two Colorings of a Tessellation Featuring Regular Polygons with 24 Sides
Posted in Mathematics
Tagged 24, geometry, Mathematics, polygon, regular, tessellation, tiling, twentyfour
Leave a comment
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
3 Comments
An Icosagon, with Its Diagonals
Posted in Art, Mathematics
Tagged 20gon, Art, diagonal, diagonals, geometric, geometrical, geometry, icosagon, mathematical, Mathematics, polygon
Leave a comment
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