Search
Subject Categories:
 Art (466)
 Asperger's (32)
 Blogging (11)
 China and the Han (9)
 eBay (3)
 Education (93)
 Fiction (29)
 Geography (27)
 History (38)
 Humor (50)
 Life (365)
 Mandalas (127)
 Mathematics (1,291)
 Mental Health (75)
 Music (44)
 Mysteries (16)
 Politics (123)
 Quotations (64)
 Religion (59)
 Satire (12)
 Science and Scientists (120)
 Follow RobertLovesPi.net on WordPress.com
MostViewed Posts, Recently:

Recent Posts
 A Polyhedron Featuring Eight Regular Enneagons and Twentyfour Kites
 A Symmetrohedron Featuring Regular Hexadecagons and Regular Hexagons
 A Polyhedron with 62 Faces Which Features Eight Regular Dodecagons
 The God Question
 Ten Equilateral Triangles
 “Feeling Yourself Disintegrate,” by The Flaming Lips, and the Inevitability of Death
 Tessellation of Rhombi and Star Hexagons
 Star Mandala
 Please Vote, or Don’t . . . Depending . . . .
 A Rhombic Triacontahedron with Faces Which Are Tessellated
Explore RobertLovesPi By Topic
 Arkansas
 Art
 Asperger's
 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
 life
 mandala
 mandalas
 math
 mathematical
 mathematical art
 Mathematics
 music
 nonagon
 octagon
 octahedron
 op art
 pentagon
 physics
 politics
 polygon
 polyhedra
 polyhedral
 polyhedron
 president
 quotation
 quote
 religion
 rhombi
 rhombic dodecahedron
 rhombicosidodecahedron
 rhombic triacontahedron
 rhombus
 school
 science
 snub dodecahedron
 star
 stellated
 stellation
 symmetry
 tessellation
 tetrahedron
 tiling
 triangle
 Trump
 truncated icosahedron
 USA
 words
 zonohedron
Hit Counter
 363,251 hits
Tag Archives: trapezoid
A Chiral Polyhedron Made of Kites and Triangles, Along with Its Dual, Made of Triangles and Isosceles Trapezoids
To make this polyhedron using Stella 4d (available here), one starts with the icosahedron, drops the symmetry of the model down from icosahedral to tetrahedral, and then stellates it once. The result is a chiral solid featuring four triangular faces … Continue reading
Posted in Mathematics
Tagged chiral, geometry, isosceles, kite, Mathematics, polyhedra, polyhedron, trapezoid
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
The Beginning of an Attempt to Create an Aperiodic Tessellation of Golden Trapezoids
I’m not sure where this is going next. It uses the trapezoids described at the end of the last post. It’s unfinished . . . but if I leave it here, I know I’ll be able to find it later.
Posted in Mathematics
Tagged geometry, golden trapezoid, Mathematics, tessellation, tiling, trapezoid, unfinished
Leave a comment
A Polyhedral Demonstration of the Fact That Twenty Times Four Is Eighty
The Platonic solid known as the icosahedron has twenty triangular faces. This polyhedron resembles the icosahedron, but with each of the icosahedron’s triangles replaced by a panel of four faces: three isosceles trapezoids surrounding a central triangle. Since (20)(4) = … Continue reading
Posted in Mathematics
Tagged eighty, four, geometry, icosahedron, Mathematics, multiplication, polyhedra, polyhedron, trapezoid, triangle, twenty
Leave a comment
This Space Station for Geometricians Has, as Outer Hulls, Twelve Trapezoids, and Six Parallelograms with One Square Window / Docking Port Each
I can’t think of any good reasons for geometricans not to have their own space station, and I know what we’d do there: we’d work on geometry (also known informally as “playing with shapes”). My suggestion for this space station’s … Continue reading
Posted in Art, Mathematics
Tagged Art, geometric, geometrical, geometrician, geometry, mathematical, Mathematics, parallelogram, space station, square, trapezoid
3 Comments
Dodecahedral Polyhedron Featuring Regular Icosagons, Regular Hexagons, Rectangles, and Isosceles Trapezoids
Created with software you can try and/or buy at http://www.software3d.com.Stella.php.
CubeBased Polyhedron Featuring Regular Icosagons, Equilateral Triangles, Isosceles Trapezoids, and Rectangles
Created with software you can try and/or buy at http://www.software3d.com.Stella.php.
Image
25 April 2014
Tagged 20, cube, cubic, geometry, icosagon, Mathematics, polyhedra, polyhedron, rectangle, trapezoid, triangle
Leave a comment