Tag Archives: Art

A Pentagonal Icositetrahedron, Decorated with Rippled Tessellations, Along with Its Compound with Its Own Mirror-Image

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A Pentagonal Icositetrahedron, Decorated with Rippled Tessellations

The decorations on each face were created using the design, made using Geometer’s Sketchpad and MS_Paint, from this post: https://robertlovespi.wordpress.com/2014/05/28/rippling-tessellation-using-squares-regular-octagons-and-octaconcave-equilateral-hexadecagons/. I then used Stella 4d, available at http://www.software3d.com/Stella.php, to project this flat image onto each face of this chiral polyhedron, the dual of the snub cube, and make this rotating image.

Next, I used Stella to add this figure to its own mirror-image, to make a compound — something that is always possible with chiral polyhedra. Here is the result.

Compound of enantiomorphic pair

Carousel

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Carousel

Created using Stella 4d, software you can download at http://www.software3d.com/Stella.php.

Migraine

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Migraine

I thought I would try to paint a migraine headache, and a few years ago, I did so, and painted this. I then fell asleep, and woke up, with, of course, a migraine.

My Students’ Painting of the Periodic Table of the Elements

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My Students' Painting of the Periodic Table of the Elements

This is my last year teaching at my current school — I’ll be transferring to another school in the same district in the Fall. To create a farewell gift to the school where I have taught for the last three years, I brought a lot of paint and other art supplies from home, bought more when they ran out, and let my students (who are enrolled in Chemistry and Physical Science) paint a large painting of the periodic table on two large wooden boards, each measuring 4′ by 6′. In the Fall, the plan is for the painting to be mounted on the wall of the science wing of my current school, in a location to be chosen by my current department chair, a personal friend of mine.

I think my students did a very good job — better than this picture I took with my cell phone reveals, just due to camera-quality. I am proud of them.

The Royal Octahedron, with Half-a-Dozen Crowns

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The Royal Octahedron, with Half-a-Dozen Crowns

Software credit: see http://www.software3d.com/Stella.php to check out Stella 4d, the program I used to make this. A free trial download is available.

Eight Hexagons, Rotating with Six Tetrastars

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Eight Hexagons, Rotating with Six Tetrastars

Software credit:  see http://www.software3d.com/Stella.php for more information on Stella 4d, the program I used to make this. A free trial download is available.

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

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

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

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

Five Polyhedron-Inspired, Rotating Images of Many Colors

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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.

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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.

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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

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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.