This Means RaWaR

The Overlord of the Über-Feral says: Welcome to my bijou bloguette. You can scroll down to sample more or simply:

• Read a Writerization at Random: RaWaR

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• O.o.t.Ü.-F.: More Maverick than a Monkey-Munching Mingrelian Myrmecologist Marinated in Mescaline…

• ¿And What Doth It Mean To Be Flesh?

• მათემატიკა მსოფლიოს მეფე

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*Der Muntsch ist Etwas, das überwunden werden soll.

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Tott ist Rot

• Lautlos und fein rann der rostrot gefärbte Sand durch die gläserne Enge, und da er in der oberen Höhlung zur Neige ging, hatte sich dort ein kleiner, reißender Strudel gebildet. — Thomas Mann, Der Tod in Venedig (1912)

• Silently, subtly, the rust-red sand trickled through the narrow glass aperture, dwindling away out of the upper vessel, in which a little whirling vortex had formed. — “Death in Venice” (translated by David Luke)

Oh My Guardian #4

• The past 16 years have involved a lot of questioning and reflecting, both in terms of what it means to be “good”, but also on the various racist myths about Muslims. — Let’s be clear: Muslims are neither good nor bad. We’re just human, Farah in terms of Elahi, The Guardian, 14/xii/2017.

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Elsewhere other-available:

• Oh My Guardian #1
• Oh My Guardian #2
• Oh My Guardian #3
• Reds under the Thread

Square Routes Re-Re-Revisited

This is an L-triomino, or shape created from three squares laid edge-to-edge:

When you divide each square like this…

You can create a fractal like this…

Stage #1

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Stage #2

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Stage #3

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Stage #4

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Stage #5

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Stage #6

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Stage #7

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Stage #8

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Stage #9

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Stage #10

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Animated fractal

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Here are more fractals created from the triomino:

Animated

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Static

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And here is a different shape created from three squares:

And some fractals created from it:

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Static

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Animated

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Animated

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Static

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And a third shape created from three squares:

And some fractals created from it:

Animated

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Static

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Animated

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Animated

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Static

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Animated

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Animated

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Previously pre-posted (please peruse):

• Tri-Way to L
• Square Routes
• Square Routes Revisited
• Square Routes Re-Revisited

Toxic Turntable #13

Currently listening…

• Ilm Beogdé, Best Of (1994)
• The Brandywines, Ludlow (1988)
• Murine, A Glass Alga (1997)
• Ichtherion, Et Agnus Vincet (1975)
• Xmode, Giftzwerg (1982)
• Uar Csolt, Marginsur (2010)
• Thomas Skinner Orchestra, Wasidu (1959)
• Elxuve, Howdja (1991)
• Iwri, Iwri 2 (1979)
• Henkerkunst, Gänzehaut (2011)
• Albion Chimes, Soltrip (1969)
• Vihol, F.E.S. (1982)
• Aitmao w Niau, Celebes (2012)

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Previously pre-posted:

• Toxic Turntable #1
• Toxic Turntable #2
• Toxic Turntable #3
• Toxic Turntable #4
• Toxic Turntable #5
• Toxic Turntable #6
• Toxic Turntable #7
• Toxic Turntable #8
• Toxic Turntable #9
• Toxic Turntable #10
• Toxic Turntable #11
• Toxic Turntable #12

Bats and Butterflies

I’ve used butterfly-images to create fractals. Now I’ve found a butterfly-image in a fractal. The exciting story begins with a triabolo, or shape created from three isoceles right triangles:

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The triabolo is a rep-tile, or shape that can be divided into smaller copies of itself:

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In this case, it’s a rep-9 rep-tile, divisible into nine smaller copies of itself. And each copy can be divided in turn:

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But what happens when you sub-divide, then discard copies? A fractal happens:

Fractal crosses (animated)

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Fractal crosses (static)

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That’s a simple example; here is a more complex one:

Fractal butterflies #1

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Fractal butterflies #2

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Fractal butterflies #3

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Fractal butterflies #4

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Fractal butterflies #5

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Fractal butterflies (animated)

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Some of the gaps in the fractal look like butterflies (or maybe large moths). And each butterfly is escorted by four smaller butterflies. Another fractal has gaps that look like bats escorted by smaller bats:

Fractal bats (animated)

Fractal bats (static)

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Elsewhere other-posted:

• Gif Me Lepidoptera — fractals using butterflies
• Holey Trimmetry — more fractal crosses

He Say, He Sigh, He Sow #47

…γῆς ἱδρῶτα θάλασσαν… — Ἐμπεδοκλῆς

   “The sea is the sweat of the earth.” — Empedocles (c. 495–435 BC), Fragments 165

Negrets

Negrets

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(Original image — click for larger)

Noise from Nowhere

• Es war, als ob er irgendwohin horchte, auf irgend ein unheimliches Geräusch. — Thomas Mann, Der kleine Herr Friedemann (1897)

• He seemed somehow to be listening, listening to some uncanny noise from nowhere. — “Little Herr Friedemann” (translated by David Luke)

Holey Trimmetry

Symmetry arising from symmetry isn’t surprising. But what about symmetry arising from asymmetry? You can find both among the rep-tiles, which are geometrical shapes that can be completely replaced by smaller copies of themselves. A square is a symmetrical rep-tile. It can be replaced by nine smaller copies of itself:

Rep-9 Square

If you trim the copies so that only five are left, you have a symmetrical seed for a symmetrical fractal:

Fractal cross stage #1

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Fractal cross #2

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Fractal cross #3

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Fractal cross #4

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Fractal cross #5

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Fractal cross #6

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Fractal cross (animated)

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Fractal cross (static)

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If you trim the copies so that six are left, you have another symmetrical seed for a symmetrical fractal:

Fractal Hex-Ring #1

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Fractal Hex-Ring #2

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Fractal Hex-Ring #3

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Fractal Hex-Ring #4

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Fractal Hex-Ring #5

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Fractal Hex-Ring #6

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Fractal Hex-Ring (animated)

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Fractal Hex-Ring (static)

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Now here’s an asymmetrical rep-tile, a nonomino or shape created from nine squares joined edge-to-edge:

Nonomino

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It can be divided into twelve smaller copies of itself, like this:

Rep-12 Nonomino (discovered by Erich Friedman)

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If you trim the copies so that only five are left, you have an asymmetrical seed for a familiar symmetrical fractal:

Fractal cross stage #1

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Fractal cross #2

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Fractal cross #3

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Fractal cross #4

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Fractal cross #5

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Fractal cross #6

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Fractal cross (animated)

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Fractal cross (static)

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If you trim the copies so that six are left, you have an asymmetrical seed for another familiar symmetrical fractal:

Fractal Hex-Ring #1

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Fractal Hex-Ring #2

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Fractal Hex-Ring #3

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Fractal Hex-Ring #4

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Fractal Hex-Ring #5

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Fractal Hex-Ring (animated)

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Fractal Hex-Ring (static)

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Elsewhere other-available:

• Square Routes Re-Re-Visited

Game of Zones

David Inshaw, The Badminton Game (1972-3)

I first came across this beautiful and mysterious painting in a book devoted to British art. Then I forgot the name of both artist and painting, and couldn’t get at the book any more. Years later, I’ve found it again on the cover of a paperback in a secondhand shop. I like the way it combines zones: the domestic and the dendric, the lunar and the ludic, the terrestrial and the celestial. And it’s full of fractals: the trees, the clouds and, implicitly, the moon and the two girls playing badminton.