Go with the Floe

Fractals are shapes that contain copies of themselves on smaller and smaller scales. There are many of them in nature: ferns, trees, frost-flowers, ice-floes, clouds and lungs, for example. Fractals are also easy to create on a computer, because you all need do is take a single rule and repeat it at smaller and smaller scales. One of the simplest fractals follows this rule:

1. Take a line of length l and find the midpoint.
2. Erect a new line of length l x lm on the midpoint at right angles.
3. Repeat with each of the four new lines (i.e., the two halves of the original line and the two sides of the line erected at right angles).

When lm = 1/3, the fractal looks like this:

stick1

(Please open image in a new window if it fails to animate)

When lm = 1/2, the fractal is less interesting:

stick2

But you can adjust rule 2 like this:

2. Erect a new line of length l x lm x lm1 on the midpoint at right angles.

When lm1 = 1, 0.99, 0.98, 0.97…, this is what happens:

stick3

The fractals resemble frost-flowers on a windowpane or ice-floes on a bay or lake. You can randomize the adjustments and angles to make the resemblance even stronger:

frostfloe

Ice floes (see Owen Kanzler)

Ice floes (see Owen Kanzler)

Frost on window (see Kenneth G. Libbrecht, )

Frost on window (see Kenneth G. Libbrecht)

Magna Mater Marina

Front cover of The Illustrated World Encyclopedia of Marine Fish and Sea CreaturesThe Illustrated World Encyclopedia of Marine Fish and Sea Creatures, Amy-Jane Beer and Derek Hall (Lorenz Books, 2007)

Books about marine life need to be big, like this one, because the sea is a big place and has been occupied for far longer than the land. You’ll learn here that some land creatures have even returned to it, like the ancestors of cetaceans (whales et al), sirenians (dugongs and manatees), and sea-snakes. The saltiness of human blood means that we each carry around a miniature ocean of our own, symbol of our own marine ancestry. The Illustrated World Encyclopedia of Marine Fish and Sea Creatures is an excellent guide to the remainers and the returners of our ancient home. It isn’t a proper scientific encyclopedia, but you can get a good sense of the richness and variety of marine life here, from jellyfish to electric rays by way of the deep-water sea-cucumber, Irpa abyssicola, and the very strange tripod fish, Bathypterois grallator.

Bathypterois grallator

The tripod fish, Bathypterois grallator

That scientific name literally means “the deep-wing stilt-walker”, because the tripod fish lives very deep, up to 3·5km down, and props itself up on extended fin-rays to save energy on swimming. Its tiny prey float towards to it on the current: it isn’t an active hunter. It’s also hermaphroditic, so that each fish can fertilize its own eggs if, thanks to depth and darkness, it doesn’t find a mate. Unlike many other deep-sea fish, however, it isn’t particularly ugly or grotesque and wouldn’t easily find place in an H.P. Lovecraft story. Vampyroteuthis infernalis, or “the vampire squid from hell”, definitely would. It looks rather like an animated umbrella, with dark webs between its tentacles and huge, light-thirsty eyes.

Sea anemones by Ernst Haeckel

Sea anemones by Ernst Haeckel

Elsewhere there’s proof that the sea contains not just abysmal ugliness but sublime beauty too, from cone shells (Conus spp.) and jewel “anemones” (Corynactis viridis) (really a form of coral, the book notes) to gorgeous fish like the copperband butterflyfish (Chelmon rostratus) and the Moorish idol (Zanclus cornutus). And the greater blue-ringed octopus (Hapalochlaena lunulata) is beautiful too, despite the “toxin in its saliva estimated to be 10,000 times more deadly than cyanide”. There isn’t enough here about plankton, which can be strange, ugly, and beautiful, but plankton could fill several encyclopedias, and this one does incorporate some more recent scientific discoveries, including the marine life that doesn’t depend ultimately on sunlight, however deep down dark it lives. The giant beardworm, Riftia pachyptila, lives in symbiosis with sulphide-digesting bacteria at hydrothermal vents on the ocean floor. It’s not part of the sun-chain and might have homologues beneath the ice-cap of Jupiter’s moon Europa. Life needs liquid, so far as we can see, and certainly on earth it had to get its start there. This book is an excellent introduction to the great biological cradle that is the sea and would be an ideal gift for a budding marine biologist or scientifically inclined sailer or fisherman.


Elsewhere other-posted:

Guise and Molls — review of Octopus: The Ocean’s Intelligent Invertebrate (2010)
Mental Marine Music — the band who supplied the title of this review

A Diet of Quiet

The astonishment one feels on learning of the success of the movement takes second place only to the astonishment that this success has been achieved almost without notice from the mainstream and the underground press alike. Nation-wide weeklies like the NME [New Musical Express] haven’t condescended as yet to feature a single band even vaguely affiliated to the movement, and the fanzines that spring up like mushrooms around any spasmodic “new genre” emptying of popular music’s overclogged bowels have found little nourishment in the only truly fresh development in the field since the earliest days of rap. So far only one or two of the bands on the very fringes of the movement have received any serious attention. Yet Dwaal, who by their own admission are one of the “baby” acts in Quiet, have sold nearly 20,000 of their debut album Slow Hearts in the eight months since its release; the really big boys like Morpheus and Dark could expect to shift this amount in the first week of release of their next albums. Tickets for tours by either of the last mentioned have been known to sell out within an hour of going on sale, and rumours of an imminent ocean-hop by Murmur, the Chicago band seen by many as the kings of Quiet, had the telephones at the offices of London’s GigWise booking agency tied up solid for nearly two days.

So, how has Quiet not merely got off the ground but got well on the way to the outer reaches of the Solar System without collecting a write-up or a review worthy of the name? Why do the names of the most important bands in the movement still mean nothing to the majority of music fans? Well, for a start, Quiet — in every sense — lives up to the name bestowed on by Hank O’Dowell, Murmur’s lead guitarist. To see how this is so, it’s necessary to take a look at its history.


• Continue reading A Diet of Quiet

Lute to Kill

A little-known Housman poem that should be better-known:


Breathe, my lute, beneath my fingers
    One regretful breath,
One lament for life that lingers
    Round the doors of death.
For the frost has killed the rose,
And our summer dies in snows,
    And our morning once for all
    Gathers to the evenfall.

Hush, my lute, return to sleeping,
    Sing no songs again.
For the reaper stays his reaping
    On the darkened plain;
And the day has drained its cup,
And the twilight cometh up;
    Song and sorrow all that are
    Slumber at the even-star.

A.E. Housman (1859-1936) — see also Breathe, my lute at Wikilivres.

Performativizing Papyrocentricity #14

Papyrocentric Performativity Presents:

Scheming DemonThe Screwtape Letters, C.S. Lewis (1942)

Ai Wei to HellHow to Read Contemporary Art, Michael Wilson (Thames & Hudson, 2013)

Toxic TwosomeDoll, Peter Sotos and James Havoc (TransVisceral Books, 2013)

Know Your LimaçonsThe Penguin Dictionary of Curious and Interesting Geometry, David Wells (1991) (posted @ Overlord of the Über-Feral)

Pestilent, Pustulent and Pox-Pocked – various books by Dr Miriam B. Stimbers (@ O.o.t.Ü.-F.)


Or Read a Review at Random: RaRaR

The Brain in Pain

You can stop reading now, if you want. Or can you? Are your decisions really your own, or are you and all other human beings merely spectators in the mind-arena, observing but neither influencing nor initiating what goes on there? Are all your apparent choices in your brain, but out of your hands, made by mechanisms beyond, or below, your conscious control?

In short, do you have free will? This is a big topic – one of the biggest. For me, the three most interesting things in the world are the Problem of Consciousness, the Problem of Existence and the Question of Free Will. I call consciousness and existence problems because I think they’re real. They’re actually there to be investigated and explained. I call free will a question because I don’t think it’s real. I don’t believe that human beings can choose freely or that any possible being, natural or supernatural, can do so. And I don’t believe we truly want free will: it’s an excuse for other things and something we gladly reject in certain circumstances.


Continue reading The Brain in Pain

The Hill to Power

89 is special because it’s a prime number, divisible by only itself and 1. It’s also a sum of powers in a special way: 89 = 8^1 + 9^2. In base ten, no other two-digit number is equal to its own ascending power-sum like that. But the same pattern appears in these three-digit numbers, as the powers climb with the digits:

135 = 1^1 + 3^2 + 5^3 = 1 + 9 + 125 = 135
175 = 1^1 + 7^2 + 5^3 = 1 + 49 + 125 = 175
518 = 5^1 + 1^2 + 8^3 = 5 + 1 + 512 = 518
598 = 5^1 + 9^2 + 8^3 = 5 + 81 + 512 = 598

And in these four-digit numbers:

1306 = 1^1 + 3^2 + 0^3 + 6^4 = 1 + 9 + 0 + 1296 = 1306
1676 = 1^1 + 6^2 + 7^3 + 6^4 = 1 + 36 + 343 + 1296 = 1676
2427 = 2^1 + 4^2 + 2^3 + 7^4 = 2 + 16 + 8 + 2401 = 2427

The pattern doesn’t apply to any five-digit number in base-10 and six-digit numbers supply only this near miss:

263248 + 1 = 2^1 + 6^2 + 3^3 + 2^4 + 4^5 + 8^6 = 2 + 36 + 27 + 16 + 1024 + 262144 = 263249

But the pattern re-appears among seven-digit numbers:

2646798 = 2^1 + 6^2 + 4^3 + 6^4 + 7^5 + 9^6 + 8^7 = 2 + 36 + 64 + 1296 + 16807 + 531441 + 2097152 = 2646798

Now try some base behaviour. Some power-sums in base-10 are power-sums in another base:

175 = 1^1 + 7^2 + 5^3 = 1 + 49 + 125 = 175
175 = 6D[b=27] = 6^1 + 13^2 = 6 + 169 = 175

1306 = 1^1 + 3^2 + 0^3 + 6^4 = 1 + 9 + 0 + 1296 = 1306
1306 = A[36][b=127] = 10^1 + 36^2 = 10 + 1296 = 1306

Here is an incomplete list of double-base power-sums:

83 = 1103[b=4] = 1^1 + 1^2 + 0^3 + 3^4 = 1 + 1 + 0 + 81 = 83
83 = 29[b=37] = 2^1 + 9^2 = 2 + 81 = 83

126 = 105[b=11] = 1^1 + 0^2 + 5^3 = 1 + 0 + 125 = 126
126 = 5B[b=23] = 5^1 + 11^2 = 5 + 121 = 126

175 = 1^1 + 7^2 + 5^3 = 1 + 49 + 125 = 175
175 = 6D[b=27] = 6^1 + 13^2 = 6 + 169 = 175

259 = 2014[b=5] = 2^1 + 0^2 + 1^3 + 4^4 = 2 + 0 + 1 + 256 = 259
259 = 3G[b=81] = 3^1 + 16^2 = 3 + 256 = 259

266 = 176[b=13] = 1^1 + 7^2 + 6^3 = 1 + 49 + 216 = 266
266 = AG[b=25] = 10^1 + 16^2 = 10 + 256 = 266

578 = 288[b=15] = 2^1 + 8^2 + 8^3 = 2 + 64 + 512 = 578
578 = 2[24][b=277] = 2^1 + 24^2 = 2 + 576 = 578

580 = 488[b=11] = 4^1 + 8^2 + 8^3 = 4 + 64 + 512 = 580
580 = 4[24][b=139] = 4^1 + 24^2 = 4 + 576 = 580

731 = 209[b=19] = 2^1 + 0^2 + 9^3 = 2 + 0 + 729 = 731
731 = 2[27][b=352] = 2^1 + 27^2 = 2 + 729 = 731

735 = 609[b=11] = 6^1 + 0^2 + 9^3 = 6 + 0 + 729 = 735
735 = 6[27][b=118] = 6^1 + 27^2 = 6 + 729 = 735

1306 = 1^1 + 3^2 + 0^3 + 6^4 = 1 + 9 + 0 + 1296 = 1306
1306 = A[36][b=127] = 10^1 + 36^2 = 10 + 1296 = 1306

1852 = 3BC[b=23] = 3^1 + 11^2 + 12^3 = 3 + 121 + 1728 = 1852
1852 = 3[43][b=603] = 3^1 + 43^2 = 3 + 1849 = 1852

2943 = 3EE[b=29] = 3^1 + 14^2 + 14^3 = 3 + 196 + 2744 = 2943
2943 = [27][54][b=107] = 27^1 + 54^2 = 27 + 2916 = 2943


Previously pre-posted (please peruse):

Narcissarithmetic #1
Narcissarithmetic #2

Tattoo Your Ears

“The most merciful thing in the world,” said H.P. Lovecraft, “is the inability of the human mind to correlate all its contents.” Nowadays we can’t correlate all the contents of our hard-drives either. But occasionally bits come together. I’ve had two MP3s sitting on my hard-drive for months: “Drink or Die” by Erotic Support and “Hunter Gatherer” by Swords of Mars. I liked them both a lot, but until recently I didn’t realize that they were by two incarnations of the same Finnish band.

Cover of "Die by the..." Swords of Mars
They don’t sound very much alike, after all. But now that I’ve correlated them, they’ve inspired some thoughts on music and mutilation. “Drink or Die” is a dense, fuzzy, leather-lunged rumble-rocker that, like a good Mötley Crüe song, your ears can snort like cocaine. But, unlike Mötley Crüe, the auditory rush lasts the whole song, not just the first half. “Hunter Gatherer” is much more sombre. Erotic Support were “Helsinki beercore”; Swords of Mars are darker, doomier and dirgier. They’ve also got a better name – “Erotic Support” seems to have lost something in translation. Finnish is a long way from English: it’s in a different and unrelated language family, the Finno-Ugric, not the Indo-European. So it lines up with Hungarian and Estonian, not English, German and French. But Erotic Support’s lyrics are good English and “Drink or Die” is a clever title. They’d have been a more interesting band if they’d sung entirely in Finnish, but also less successful, because less accessible to the rest of the world.

Es war einmal eine Königstochter, die ging hinaus in den Wald und setzte sich an einen kühlen Brunnen. Sie hatte eine goldene Kugel, die war ihr liebstes Spielwerk, die warf sie in die Höhe und fing sie wieder in der Luft und hatte ihre Lust daran. Einmal war die Kugel gar hoch geflogen, sie hatte die Hand schon ausgestreckt und die Finger gekrümmt, um sie wieder zufangen, da schlug sie neben vorbei auf die Erde, rollte und rollte und geradezu in das Wasser hinein.

Some Indo-European


Mieleni minun tekevi, aivoni ajattelevi
lähteäni laulamahan, saa’ani sanelemahan,
sukuvirttä suoltamahan, lajivirttä laulamahan.
Sanat suussani sulavat, puhe’et putoelevat,
kielelleni kerkiävät, hampahilleni hajoovat.

Veli kulta, veikkoseni, kaunis kasvinkumppalini!
Lähe nyt kanssa laulamahan, saa kera sanelemahan
yhtehen yhyttyämme, kahta’alta käytyämme!
Harvoin yhtehen yhymme, saamme toinen toisihimme
näillä raukoilla rajoilla, poloisilla Pohjan mailla.

Some Finno-Ugric


All the same, being inaccessible sometimes helps a band’s appeal to the rest of the world: the mystique of black metal is much stronger in bands that use only Norwegian or one of the other Scandinavian languages. Erotic Support haven’t joined that rebellion against Coca-Colonization and tried to create an indigenous genre. They’re happy to reproduce more or less American music using the more or less American invention known as the electric guitar. But amplified music would have appeared in Europe even if North America had been colonized by the Chinese, so I wonder what rock would sound like if it had evolved in Europe instead. It wouldn’t be called rock, of course, but what other differences would it have? Would it be more sophisticated, for example? I think it would. The success of American exports depends in part on their strong and simple flavours. “Drink or Die” has those flavours: it’s about volume, rhythm and power. It’s full of a certain “drug-addled, crab-infested, tinnitus-nagged spirit” — the “urge to submerge in the raw bedrock viscerality of rock”, as some metaphor-mixing, über-emphasizing idiot once put it (I think it was me).

Cover of "II" by Erotic Support

Erotic Support are “beercore”, remember. Beer marks the brain with hangovers, just as tattoos mark the skin with ink. And just as loud music marks the ears with tinnitus. There are various kinds of self-mutilation in rock and that self-mutilation can have unhealthy motives. It can be an expression of boredom, angst, anomie and self-hatred. Unsurprisingly, Finland has the nineteenth highest suicide rate in the world. Beer, tattoos and tinnitus are part of the louder, dirtier and loutier end of rock: unlike Radiohead or Coldplay, Erotic Support sound like a band with tattoos who are used to hangovers. “Drink or Die” is a joke about exactly that. But what if rock had evolved in a wine-drinking culture? Would it be less of a sado-masochistic ritual, more a refined rite? Maybe not: the god of wine is Dionysos and he was Ho Bromios, the Thunderer. His brother Pan induces panic with loud noises. But black metal looks towards northern paganism: it’s music for pine forests, cold seas and beer-drinkers, not olive groves, warm seas and oenopotes.

Erotic Support don’t create soundscapes for Finland the way black metal creates soundscapes for Norway, but they do create beer-drinkers’ music, so they do express Finnishness to that extent. Swords of Mars, being darker, doomier and dirgier, are moving nearer an indigenous Finnish rock, or an indigenous Scandinavian rock, at least. This may be related to the fact that genes express themselves more strongly as an individual ages: for example, the correlation between the intelligence of parents and their children is strongest when the children are adults. Erotic Support create faster, more aggressive music than Swords of Mars, so it isn’t surprising that they’re the younger version of the same band. In biology, the genotype creates the phenotype: DNA codes for bodies and behaviour. Music is part of what Richard Dawkins calls the “extended phenotype”, like the nest of a bird or the termite-fishing-rods of a chimpanzee. A bird’s wings are created directly by its genes; a bird’s nest is created indirectly by its genes, viâ the brain. So a bird’s wings are part of the phenotype and a bird’s nest part of the extended phenotype.

Both are under the influence of the genes and both are expressions of biology. Music (like bird-song) is an expression of biology too, as is the difference between the music of Erotic Support and Swords of Mars. As brains age, the behaviour they create changes. Swords of Mars are older and not attracted to reckless self-mutilation as Erotic Support were: it’s not music to precede hangovers and induce tinnitus any more. Sword of Mars aren’t trying to tattoo your ears but to educate your mind.