• 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.
Elsewhere other-available:
• Oh My Guardian #1
• Oh My Guardian #2
• Oh My Guardian #3
• Reds under the Thread
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
Stage #2
Stage #3
Stage #4
Stage #5
Stage #6
Stage #7
Stage #8
Stage #9
Stage #10
Animated fractal
Here are more fractals created from the triomino:
Animated
Static
Animated
Static
Animated
Static
And here is a different shape created from three squares:
And some fractals created from it:
Animated
Static
Animated
Static
Animated
Static
And a third shape created from three squares:
And some fractals created from it:
Animated
Static
Animated
Static
Animated
Static
Animated
Static
Animated
Static
Animated
Static
Animated
Static
Animated
Static
Previously pre-posted (please peruse):
• Tri-Way to L
• Square Routes
• Square Routes Revisited
• Square Routes Re-Revisited
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)
Previously pre-posted:
Toxic Turntable #1 • #2 • #3 • #4 • #5 • #6 • #7 • #8 • #9 • #10 • #11 • #12 •
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:
The triabolo is a rep-tile, or shape that can be divided into smaller copies of itself:
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:
But what happens when you sub-divide, then discard copies? A fractal happens:
Fractal crosses (animated)
Fractal crosses (static)
That’s a simple example; here is a more complex one:
Fractal butterflies #1
Fractal butterflies #2
Fractal butterflies #3
Fractal butterflies #4
Fractal butterflies #5
Fractal butterflies (animated)
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)
Elsewhere other-posted:
• Gif Me Lepidoptera — fractals using butterflies
• Holey Trimmetry — more fractal crosses
…γῆς ἱδρῶτα θάλασσαν… — Ἐμπεδοκλῆς
“The sea is the sweat of the earth.” — Empedocles (c. 495–435 BC), Fragments 165
Negrets
(Original image — click for larger)
• 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)
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
Fractal cross #2
Fractal cross #3
Fractal cross #4
Fractal cross #5
Fractal cross #6
Fractal cross (animated)
Fractal cross (static)
If you trim the copies so that six are left, you have another symmetrical seed for a symmetrical fractal:
Fractal Hex-Ring #1
Fractal Hex-Ring #2
Fractal Hex-Ring #3
Fractal Hex-Ring #4
Fractal Hex-Ring #5
Fractal Hex-Ring #6
Fractal Hex-Ring (animated)
Fractal Hex-Ring (static)
Now here’s an asymmetrical rep-tile, a nonomino or shape created from nine squares joined edge-to-edge:
Nonomino
It can be divided into twelve smaller copies of itself, like this:
Rep-12 Nonomino (discovered by Erich Friedman)
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
Fractal cross #2
Fractal cross #3
Fractal cross #4
Fractal cross #5
Fractal cross #6
Fractal cross (animated)
Fractal cross (static)
If you trim the copies so that six are left, you have an asymmetrical seed for another familiar symmetrical fractal:
Fractal Hex-Ring #1
Fractal Hex-Ring #2
Fractal Hex-Ring #3
Fractal Hex-Ring #4
Fractal Hex-Ring #5
Fractal Hex-Ring (animated)
Fractal Hex-Ring (static)
Elsewhere other-available:
Overlord In Terms of Core Issues Around Maximal Engagement with Key Notions of the Über-Feral 