Rings of Pentagons
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Category Archives: Art
Eight Mandalas in Orbit
The mandalas on the eight hexagonal faces of this truncated octahedron were first seen in the blog-post immediately before this one. The six square faces have been hidden, creating holes in their places.
I used Geometer’s Sketchpad and MS-Paint to make this pattern, based on a ring of twenty-two hendecagons. The work of projecting this image onto a polyhedron, as well as making this rotating .gif image, was performed using another program, Stella 4d: Polyhedron Navigator. If you’d like to try Stella for yourself, there’s a free trial download available at http://www.software3d.com/Stella.php.
Meditations Upon a Ring of Hendecagons
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Four, Six, Nine, and Eighteen
This mathematical illustration includes two shapes of rhombi (orange and green), isosceles trapezoids (blue), regular hexagons (yellow), regular enneagons (red), and a single regular octadecagon (violet).
Sunflower Fourteen
This mathematical illustration of a sunflower is made of fourteen regular heptagons, fourteen irregular pentagons, and a single tetradecagon.
A Golden Tessellation of Quadrilaterals
In this tessellation, golden rectangles are shown in yellow. The orange darts are each made of two golden gnomons, joined at a leg — while the blue rhombi are each made of two golden triangles, sharing a base.
A Rhombic Triacontahedron, Decorated with Geometric Artwork
To make this rotating .gif, I navigated to the rhombic triacontahedron in Stella 4d, and then loaded images onto its thirty faces, with the image being the one I blogged in the post right before this one. This program, Stella, has a free trial download you can get right here.
