This tessellation may be viewed in two different ways.
The first one is to see it as consisting of regular {12/5} dodecagrams, in orange, yellow, green, blue, and violet; along with rhombi in red; and equilateral triangles in magenta.
The second way is to view it as made of violet, regular dodecagons; kites, of four different sizes and shapes, in blue, green, yellow, and orange; red rhombi; and equilateral, magenta triangles.
Today is the day I turn 55, so here is a 55-pointed star to mark the ocassion. It’s composed of eleven five-pointed stars, which works because (5)(11) = 55.
In yesterday’s post, I unveiled my annual birthday star for my new age, 54. Today, I’m placing that 54-pointed star on each of the thirty faces of a rhombic triacontahedron. I use a program called Stella 4d (free trial available right here) to do this, and it allows images on polyhedron-faces to either be placed inside the face, or around the face. Here’s the “inside” version:
And here is the “around each face” version:
Which one do you like better?
I turn 54 years old today, so here is a 54-pointed star to mark the occasion. The nine repetitions of the six colors of the spectrum work because (6)(9) = 54.
These octagrams were rotated about the center point. Every other one is yellow, and between the yellow ones are blue ones. The green areas are where the blue and yellow octagrams coincide.
This began with an {8/3} star octagon. It then started spreading.
The stars on the pentagonal faces were drawn using Geometer’s Sketchpad and MS-Paint. The icosidodecahedron itself was created using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.
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