Piero Bosio Social Web Site Personale

An arpeggio of noise

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Chromatic cubes

#Genuary12 Boxes only

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Twisty gears

#Genuary14 Perfect fit

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That's no moon

#Genuary10 Polar coordinates

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The four-chambered heart

#Genuary10 Polar coordinates

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Radial XOR

#Genuary7 Boolean algebra

(x ^ y) mod n creates a fancy pattern along the x- and y-axes. https://genart.social/@scdollins/111769274655415561

If we add more axes, the irrationality breaks into chaos, but near the origin we get some rather dramatic symmetries.

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Murmuring mosaic

#TilingTuesday

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A circle of squares

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Squidgy circle

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Clockwork loop

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Pulsing colors

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Squeeeeze

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I particularly like this 104-vertex spherical tessellation with its nearly octahedral symmetry and 18 interwoven triangle strips.

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80 vertices in 2-fold dihedral symmetry has triangle strips of 4 different lengths.

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We can also get 80-vertex tetrahedral symmetry with a more "traditional" arrangement of 12 pentagons and the rest hexagons.

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Here is an 80-vertex sphere in tetrahedral symmetry with 24 valence-7 vertices.

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Tetrahedral symmetry requires that a general point be in a set of 12 -- on each of the 4 faces in each of 3 orientations. You can also add 4 points at the vertices, 4 at each face center, or 6 at each edge center. Combined, any even number of points >= 4 can be arranged with tetrahedral symmetry, albeit not always evenly.

Here is 50 points in tetrahedral symmetry which requires that some of them have valence 7.

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50 vertices arranged in D6 symmetry is interesting in that it forms two different but close in length triangle strips -- one following the longitudes and the other the latitudes.

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23- and 29-vertex spheres both arrange in D3 symmetry with a single triangle strip.

And 22 vertices can also arrange with 2-fold cylindrical symmetry that runs all the pentagons together into one long strip. It produces one long triangle strip and three short ones.

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