Tag Archives: mathematical art

Rippling Tessellation Using Squares, Regular Octagons, and Octaconcave, Equilateral Hexadecagons

Image

Reply

Rippling Tessellation Using Squares, Regular Octagons, and Octaconcave, Equilateral Hexadecagons

Five Polyhedron-Inspired, Rotating Images of Many Colors

Image

Reply

Four Polyhedron-Inspired, Rotating Images of Many Colors

The three images below appear smaller than the one above, at first, but can be enlarged with a single click.

dual of Augmented Dodeca

These were all created using Stella 4d: Polyhedron Navigator. You can try or buy this software at http://www.software3d.com/Stella.php.

s

In case you’re wondering, I’m simply calling these polyhedron-inspired images, rather than actual polyhedra, because of the holes in most of them. With the software I use to make these, creating these empty spaces is simply a matter of selecting faces, and then hiding them from view.

w

For this last one, just for fun, I made the vertices visible — even those where hidden faces touch. The idea was to create a snow-like effect.

Zonohedrified Convex hull

A Ball of Shields

Image

Reply

A Ball of Shields

Software credit:  I used Stella 4d to make this, and you can find this program at http://www.software3d.com/Stella.php. A free trial download is available.

Twenty Rainbow Asterisks

Image

Reply

Twenty Rainbow Asterisks

Software credit: see http://www.software3d.com/Stella.php.

Yarn

Image

Reply

Yarn

Software credit: see http://www.software3d.com/Stella.php.

Starflower

Image

Reply

Starflower

I created this using Stella 4d, available at http://www.software4d.com/Stella.php.

Sixty Flying Kites

Image

Reply

Sixty Flying Kites

Software credit: see http://www.software3d.com/Stella.php to learn more about the software (Stella 4d) I used to make this image. A free trial download is available.

Polyhedral Quilt Pattern

Image

Reply

Polyhedral Quilt Pattern II

I made this using Stella 4d, which you may try for free at http://www.software3d.com/Stella.php.

A Rotating Great Rhombicosidodecahedron, with Spinning Mandalas On Its Faces

Image

1

A Rotating Great Rhombicosidodecahedron, with Spinning Mandalas On Its Faces

This polyhedron is also known as the truncated icosidodecahedron. However, I prefer the name which appears in the title of this post.

I made the image which appears on each face with Geometer’s Sketchpad and MS-Paint, and then used Stella 4d to project this image onto each face of this polyhedron, and create this rotating .gif image.

If you’d like to try Stella 4d for free, just visit this site: http://www.software3d.com/Stella.php. To my knowledge, a free trial download is only available for Stella 4d, but not for the other programs mentioned above.

Only Nine School Days Left This Year

Image

Reply

Only Nine School Days Left This Year

Due to an unusual amount of Winter weather this school year, the school year where I teach has been extended to June 6, creating what many are calling “the school year that will not end.” It will end, of course, but the already-long wait for Summer vacation is getting to many of us — students, parents, teachers, and administrators alike.

The countdown is now at nine school days left: four next week, and five the week after that. In honor of this point in the countdown, I created this image based on the number nine, using Geometer’s Sketchpad and MS-Paint.