Over Again

In Boldly Breaking the Boundaries, I looked at the use of squares in what I called over-fractals, or fractals whose sub-divisions reproduce the original shape but appear beyond its boundaries. Now I want to look at over-fractals using triangles. They’re less varied than those involving squares, but still include some interesting shapes. This is the space in which sub-triangles can appear, with the central seeding triangle coloured gray: triangle
Here are some over-fractals based on the pattern above: overtri1
overtri1_static


overtri2
overtri2_static


overtri3

overtri3_static


overtri4
overtri4_static


overtri5
overtri5_static


overtri6
overtri6_static


overtri7
overtri7_static


overtri8
overtri8_static


overtri9
overtri9_static


overtri10
overtri10_static


overtri11
overtri11_static


overtri12
overtri12_static


overtri13

overtri13_static


Performativizing Papyrocentricity #39

Papyrocentric Performativity Presents:

The Ogre by the Throat Extreme Eiger: The Race to Climb the Direct Route up the North Face of the Eiger, Peter and Leni Gillman (Simon & Schuster 2015)

Sing When You’re WingingButterflies and Moths in Britain and Europe, David Carter (Pan 1982)

Soul FeudThe Soul of the Marionette: A Short Enquiry into Human Freedom, John Gray (Penguin 2015)


Or Read a Review at Random: RaRaR

Spike U Like?

Keeping out of the Hive Mind is an endless struggle. The Hive evolves, constantly throwing out toxic tentacles of glottic grotesqueness to enwrap and entwine the unwary mind. However, “in terms of” is an old and familiar tentacle. It’s easy to spot and avoid. New tentacles can be trickier, particularly when they come in cosy colloquial guise, like this:

Perrine’s brother is one of 36 people killed in Baltimore so far this month, already the highest homicide count for May since 1999. But while homicides are spiking, arrests have plunged more than 50 percent compared to last year. […]

Baltimore was seeing a slight rise in homicides this year even before Gray’s death April 19. But the 36 homicides so far in May is a major spike, after 22 in April, 15 in March, 13 in February and 23 in January.

Non-fatal shootings are spiking as well. So far in May there have been 91 — 58 of them in the Western District. […] Rawlings-Blake said her office is “examining” the relationship between the homicide spike and the dwindling arrest rate. – Baltimore residents fearful amid rash of homicides, The Washington Times, 28/5/2015.

“Spike” is a metaphor drawn from the behaviour of a line on a graph. When a variable rises sharply, reaches a brief maximum, and then falls sharply, it looks like an inverted V. A spike, in other words:

A spike

A spike

Not a spike

Not a spike


A sharp rise cannot be a spike on its own. It has to be followed immediately or almost immediately by a sharp fall. The rise and fall have to be more or less balanced. That’s why it’s nonsensical to say “homicides are spiking”. The rise in murders might level off and establish a new average. Or the murder rate might return slowly to the old level. You can’t announce a spike while a variable is still rising, so every time “spike” is used as a verb or a noun in the article quoted above, it’s being used incorrectly.

But the same article supplies a word that is correct:

At a news conference Wednesday, Rawlings-Blake said there were “a lot of reasons why we’re having a surge in violence.”

A surge can be identified while it is happening. Violence in Baltimore is surging or rocketing or shooting up or rising sharply. It is not “spiking”. But why is this simple metaphor being misused? I think it’s because “spike” conveys a sense of urgency and excitement. It gives journalists and other members of the hive-mind a buzz. They like the connotation, so they forget about the denotation.

Performativizing Papyrocentricity #38

Papyrocentric Performativity Presents:

Nature by Numbers30-Second Elements: The 50 Most Significant Elements, Each Explained in Half a Minute, ed. Eric Scerri (Icon 2013)

Fresh FleshThe Complete Illustrated Guide to Freshwater Fish & River Creatures, Daniel Gilpin and Dr Jenny Schmid-Araya (Hermes House 2011)

The Reich StoffRocket and Jet Aircraft of the Third Reich, Terry C. Treadwell (Spellmount 2011)

Past MastersJustice for All: The Truth about Metallica, Joel McIver (Omnibus Press, revised edition 2014)

Ant on E – Burgess on Waugh

M.O.R. of BabylonSleazy Listening: Frottage, Fladge and Frenzied Fornication in the Music of the Carpenters, Dr Miriam B. Stimbers (University of Nebraska Press 2015)


Or Read a Review at Random: RaRaR

Boldly Breaking the Boundaries

In “M.I.P. Trip”, I looked at fractals like this, in which a square is divided repeatedly into a pattern of smaller squares:
2x2inner

2x2inner_static


3x3innera

3x3innera_static


3x3innerb

3x3innerb_static


As you can see, the sub-squares appear within the bounds of the original square. But what if some of the sub-squares appear beyond the bounds of the original square? Then a new family of fractals is born, the over-fractals:

fractal2x2a

fractal2x2a_static


fractal2x2b

fractal2x2b_static


fractal2x2c

fractal2x2c_static


fractal2x2d

fractal2x2d_static


fractal2x2e

fractal2x2e_static


fractal3x3a

fractal3x3a_static


fractal3x3b

fractal3x3b_static


fractal3x3c

fractal3x3c_static


fractal3x3d


fractal3x3e


fractal3x3f


fractal3x3g


fractal3x3h


fractal3x3i


fractal3x3j


fractal3x3k


fractal3x3l


fractal3x3m


fractal3x3n


fractal4x4a


fractal4x4c


fractal4x4b