What Is Art? Here’s Andy Warhol’s Answer.

Warhol

Until finding this quote, I had no idea Andy Warhol was an economist.

Five Mandalas

15

151032

mandala1

mandala30

wheelof40

Two Different Sets of Two Dozen Flying Kites

24 kites

Because (6)(4) = 24 = (8)(3), that’s why.

bowtie octagon dual

I used Stella 4d to make each of these. A free trial download of this software is available here.

Falling into a Vortex

Falling into a Vortex

Pentagonal System of Six Vortices

pentagonal system of vortices

This Space Station for Geometricians Has, as Outer Hulls, Twelve Trapezoids, and Six Parallelograms with One Square Window / Docking Port Each

12 Trapezoids -- and six parallelograms with square windowsl

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 design was created with Stella 4d, and you may find that program (to try or guy) here:  http://www.software3d.com/Stella.php.

Two Views of a Mandala with Fivefold Symmetry

Euclidean Mandala with construction lines

Euclidean Mandala without construction lines

A Polyhedral Caltrop

caltrop

Created using Stella 4d, available at http://www.software3d.com/Stella.php.

A Polyhedral Shuttlecraft, Adrift in Outer Space

Misc1

Most of the polyhedra I post here have one of the symmetry-types which are collectively called “polyhedral” symmetry: tetrahedral, cuboctahedral, icosidodecahedral, or chiral variants of these. For a polyhedral representations of something like a shuttlecraft from Star Trek, though, such as this one, these symmetry-types must be abandoned.

Image credit:  I made this using Stella 4d, available at www.software3d.com/Stella.php.

A Polyhedral Boomerang, in Flight

boomerang

Most of the polyhedra I post here have one of the symmetry-types which are collectively called “polyhedral” symmetry: tetrahedral, cuboctahedral, icosidodecahedral, or chiral variants of these. For polyhedral representations of most real-world objects, though, such as this one, these symmetry-types must be abandoned.

Image credit:  I made this using Stella 4d, available at www.software3d.com/Stella.php.