brunn

Given that the Quebec shooter was a right-wing, Trump-loving, pro-Israeli, anti-immigration, white-nationalist, anti-feminist lunatic [somewhat similar to Anders Breivik, Kyle Aaron Huff, Rusty Houser, Marc Lepine, Elliot Rodger, Craig Hicks, Jerad Miller, Robert Dear, Frazier Miller, Dylan Roof, Wade Michael Page, David Pedersen, James Brunn, Shawna Forde, Albert Gaxiola, Jason Bush, Keith Luke, Richard Poplawski, to name just a few] acting out his political views, I propose a ban and extreme vetting until we figure out what’s going on with these crazy white folk. They all seem to have their skin color in common, so we’ll base it on that, and some of the vetting questions can be “do you agree with Trump’s ban”, “why did we invade Iraq”, and “do you ever think about/fantasize walking into a school or theater or mosque or planned parenthood and murdering everyone you see or those who spurned your sexual advances?”

I mean honestly, it seems that a lot of this could have been prevented by asking these folk that last question alone, but hey, what do I know.

att falla kan vara ganska härligt ibland
fall in love
falla i ett skrattanfall
i det immiga gräset för att man är så berusad o lycklig
bli fångad
ramla ned i ett mjukt ludder av lavendel 
skrapa upp knäna så man går runt med två blodröda degklumpar på knäskålarna
trilla ned i ett bäcksvart träsk o bli uppäten av slemmiga träskmonster
tappa balansen i en panikattack
falla ned i en 9399 meters djup brunn
falla i dödens namn
o livets

4

Top images: Roman mosaic in Sicily ( Alain Cochet) Carved pillar in Indian temple, Chennai (Arul Lakshminarayan)


The Borromean Rings in Mathematics - Knot Theory

The link first appeared in a mathematical context in the earliest work on knots: Peter Tait’s enumeration of 1876 [Tait]. Tait used the Borromean rings and another link of similar construction to show that what he called `belinkedness’ (now called linking number) is not sufficient to distinguish links. His two figures are shown above. Each one shows an alternating, 3-component link such that each component is unknotted and no two components are linked. Yet, he concludes that the two links are non-trivial and different.

Links which become trivial after the removal of any component were studied by Hermann Brunn in another early work [Brunn], and such links are now called Brunnian links. He referenced Tait’s examples, but neither he nor Tait called the link Borromean. The next Brunnian link in the sequence started by Tait can be found in the sixth century Marundheeswarar Temple in Chennai, India (above right) where the symbol is associated with the goddess Tripurasundari, conqueror of the three cities of the demons - see Arul Lakshminarayan’s Blog.

The earliest use of the term `Borromean’ found in the mathematical literature is in a 1962 overview of knot theory [Fox]: on pages 131-132, Ralph Fox uses the Alexander polynomial to prove that the Borromean rings are truly linked. The inseparability of the rings can also be shown using simple colouring arguments [Nanyes].

Another topological `claim to fame’ for the Borromean rings, of a much more technical nature, concerns their universality. A link L is called universal if every closed, orientable 3-manifold can be obtained as a branched covering over the 3-sphere with branch set L. The Borromean rings and the Whitehead link were the first links to be shown to possess this property [Hilden et al].

From: Liv.ac.uk