From 131a93d42b39d6f9fce271549154b11d60cb122b Mon Sep 17 00:00:00 2001 From: Simon Browne Date: Wed, 3 Apr 2019 16:07:22 +0200 Subject: [PATCH] pages/ --- pages/beetroot_to_ciao.html | 36 ++++++++++-- pages/beetroot_to_p_lions_es.html | 52 ++++++++++++++++-- pages/beetroot_to_wijnhaven.html | 23 +++++++- pages/ciao_to_wijnhaven.html | 9 ++- pages/img/Knotwork_06.jpg | Bin 155188 -> 599839 bytes pages/img/Knotwork_06_640.jpg | Bin 50499 -> 89676 bytes pages/img/bus_wht_topology.jpg | Bin 218384 -> 226545 bytes pages/img/bus_wht_topology_640.jpg | Bin 51766 -> 54314 bytes pages/img/mandarin_peel_01.jpg | Bin 0 -> 461173 bytes pages/img/mandarin_peel_02.jpg | Bin 0 -> 464329 bytes pages/img/mandarin_peel_03.jpg | Bin 0 -> 451819 bytes pages/img/mandarin_whole.jpg | Bin 0 -> 454781 bytes pages/img/network_of_possibilities.jpg | Bin 0 -> 4337642 bytes pages/img/star_topology_wht.jpg | Bin 0 -> 261024 bytes pages/img/star_topology_wht_640.jpg | Bin 0 -> 59156 bytes pages/img/tram_lines.jpg | Bin 0 -> 1008424 bytes pages/img/tyre_tracks.jpg | Bin 0 -> 768710 bytes pages/p_lions_es_to_wijnhaven.html | 24 ++++++-- pages/please_to_foshan.html | 50 ++++++++++++++--- pages/please_to_wijnhaven.html | 15 ++++- pages/readings.css | 5 ++ pages/style.css | 6 ++ .../the_psychotopology_of_everyday_life.html | 1 - pages/wijnhaven_to_foshan.html | 17 +++++- 24 files changed, 207 insertions(+), 31 deletions(-) create mode 100644 pages/img/mandarin_peel_01.jpg create mode 100644 pages/img/mandarin_peel_02.jpg create mode 100644 pages/img/mandarin_peel_03.jpg create mode 100644 pages/img/mandarin_whole.jpg create mode 100644 pages/img/network_of_possibilities.jpg create mode 100644 pages/img/star_topology_wht.jpg create mode 100644 pages/img/star_topology_wht_640.jpg create mode 100644 pages/img/tram_lines.jpg create mode 100644 pages/img/tyre_tracks.jpg diff --git a/pages/beetroot_to_ciao.html b/pages/beetroot_to_ciao.html index b5bff84..5e0c782 100644 --- a/pages/beetroot_to_ciao.html +++ b/pages/beetroot_to_ciao.html @@ -10,18 +10,46 @@
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The Seven Bridges of Königsberg

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The Seven Bridges of Königsberg is a historical mathematical problem which laid the ground for graph theory, and prefigured topology. Königsberg, in former Prussia (now Kaliningrad, Russia), set on both sides of the Pregel River, included two large islands - Kneiphof and Lomse - which were connected to the mainland by a series of seven bridges. The problem was to devise a walk through the city crossing each of those bridges once and only once.

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The negative solution came from Swiss mathematician and physicist Leonhard Euler, who pointed out that the choice of route inside each land mass was irrelevant; only the sequence of crossings mattered. Euler created a diagram in which each land mass was represented by a "vertex" or node, and each bridge became an "edge", or link between them. This allowed him to consider the problem in abstract terms, in the mathematical structure of a graph.

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As only the connection information is relevant, the shape of the pictorial representations can be distorted in any way without changing the graph. For example, it does not matter if the links drawn are straight or curved, or whether a node is to the left or right of another.

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Euler observed that, except at the beginning and end of the walk, if one enters a land mass by a bridge, one must leave a land mass by a bridge. In other words, at any time during the walk, the number of times one enters a non-terminal vertex equals the number of times one leaves it, meaning that the total number of bridges touching that land mass must be even, as half the crossings will be towards a land mass, and the other half away from it. However, all four of the land masses in the problem are touched by an odd number of bridges (one is touched by 5, the other three by 3). Since only two land masses can act as the beginning or end, it is impossible to cross each bridge only once during a walk.

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Quipu

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Quipu (also spelled khipu) or "talking knots", historically were cords with knots made in them as a way to record numbers, used by various ancient cultures of Andean South America.

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Topology

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Topology is a non-metric elastic geometry. It is concerned with transformations of shapes and properties such as nearness, inside and outside.

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In mathematics, topology is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.

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Unraveling knots

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The drawings I've been making by tracking myself over GPS makes a kind of map; however it does not display scale, or landmarks, or street names. It doesn't show which way is north, south, east or west. What it does show is some kind of graphic representation of the path I took by following my nose.

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The drawings I've been making by tracking myself over GPS makes a kind of map; however it does not display scale, or landmarks, or street names. It doesn't show which way is north, south, east or west. What it does show is some kind of graphic representation of the path I took by following my nose.

After I return back to the studio at Wijnhaven 61, I save and export .gpx (GPS exchange) format, and then drop the files into geographic information system software which allows me to accurately position the paths, representing them as lines.

Later, I export a line to .svg (scalable vector graphics) format and start to zoom in on it using a vector graphics editor. When zoomed out, the line appears to be curved, jagged, definitely not straight. However, when zooming in there are many straight lines, and they only bend at anchor points where each snapshot is taken. The line becomes knotted at places, representing social interactions, financial transactions, places where I backtracked, and where the GPS signal was obscured within or deflected by buildings in the urban landscape.

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I begin to simplify the line, sliding a scale that removes anchor points and unravels the knot into a completely straight line. As I do this, I notice smaller knots that were not so visible at the scale I saw them at originally.

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Topology

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Topology is a non-metric elastic geometry. It is concerned with transformations of shapes and properties such as nearness, inside and outside.

diff --git a/pages/beetroot_to_p_lions_es.html b/pages/beetroot_to_p_lions_es.html index 5eb5b8f..b53cea2 100644 --- a/pages/beetroot_to_p_lions_es.html +++ b/pages/beetroot_to_p_lions_es.html @@ -13,8 +13,16 @@

1867

A note from Peter Guthrie Tait scribbled on an envelope asks an unknown recipient "Can't you come on Monday the present at the performance? An elliptical hole gives the rings in a state of vibration!!!"

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In a room, thick with smoke, Tait and William Thomson (Lord Kelvin) are conducting an experiment to test the German physicist Hermann von Helmholtz's theory, that closed vortex lines in a fluid remain stable forever. Tait is using a box that emits smoke made from a pungent mixture of ammonia solution, salt and sulfuric acid. He taps the back of his makeshift vortex cannon, and thick rings he later describes as looking "like solid rings of India rubber" waft from a hole drilled in its front. Thomson develops a theory that each smoke ring is structured around knots in the ether, a space-filling substance believed to transmit matter. Consequently, Tait begins to tabulate possible forms of mathematical knots.

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In a room, thick with smoke, Tait and William Thomson (Lord Kelvin) are conducting an experiment to test the German physicist Hermann von Helmholtz's theory, that closed vortex lines in a fluid remain stable forever. Tait is using a box that emits smoke made from a pungent mixture of ammonia solution, salt and sulfuric acid. He taps the back of his makeshift vortex cannon, and thick rings he later describes as looking "like solid rings of India rubber" waft from a hole drilled in its front. Thomson develops a theory that each smoke ring is structured around knots in the ether, a space-filling substance believed to transmit matter. Consequently, Tait begins to tabulate possible forms of mathematical knots.

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Klein worms

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Klein worms are forms based on the klein bottle, drawn by the artist Claude Ponsot. These drawings made their first appearance as illustrations for the article Cybernetic Guerilla Warfare, by Paul Ryan (not the politician) in Radical Software, Vol.1, Issue 3.

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Knotworks

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Knotworks are visualisations of the topology of our small, humble digital network of eight home servers. Each Knotwork drawing is of a mathematical knot with eight crossings, each crossing representing a node of the network. The points where the parts of the loop overlap can conceal parts contained, like the internal sections of klein worms. When unravelled, the knot is a continuous loop, and the links (edges) and the nodes (vertices) are the same.

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@@ -24,8 +32,44 @@
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Knotworks

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Knotworks are visualisations of the topology of our small, humble digital network of eight home servers. Each Knotwork drawing is of a mathematical knot with eight crossings, each crossing representing a node of the network. The points where the parts of the loop overlap can conceal parts contained, like the internal sections of klein worms. When unravelled, the knot is a continuous loop, and the links (edges) and the nodes (vertices) are the same.

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Mathematical knots

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Mathematical knots, or knots which are studied in the field of knot theory, are based on the embedding of a circle within three-dimensional space. They are different from the usual idea of a knot, that is a string with free ends. Therefore, mathematical knots are (almost) always considered to be closed loops.

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Network of possibilities

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I'm making visualisations of things that are not visible in order to better understand them myself. The methodology I'm adopting is one based on a mind-map network, where possible ways to reflect are connected to subsequent actions and outcomes that infinitely loop into each other. In this way, an idea becomes an action (drawing, walking, sculpting, writing), which becomes an outcome (hand-drawing, GPS drawing, clay model, narrative text, explicatory text, and so on), then can become a new idea from which to act again, etcetera etcetera...

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Network topology

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Network topology is the arrangement of the elements (links, nodes, etc.) of a communication network. Network topology can be used to define or describe the arrangement of various types of telecommunication networks, including command and control radio networks, industrial fieldbusses, and computer networks.

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There are two types of network topologies: physical and logical. Physical topology emphasizes the physical layout of the connected devices and nodes, while logical topology focuses on the pattern of data transfer between network nodes.

+ + + + + + + + + + + + + + + + + + diff --git a/pages/beetroot_to_wijnhaven.html b/pages/beetroot_to_wijnhaven.html index acff773..9c4119a 100644 --- a/pages/beetroot_to_wijnhaven.html +++ b/pages/beetroot_to_wijnhaven.html @@ -11,7 +11,7 @@

Chemtrail conspiracy theory

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The chemtrail conspiracy theory is an erroneous belief that the contrails of aircraft are being used for nefarious purposes, ranging from altering the weather to mind control. Chemtrail (a portmanteau of "chemical" and "contrail") sightings are often reported on the r/chemtrails sub-messageboard of reddit.com, a discussion website which claimes to be "the front page of the internet".

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The chemtrail conspiracy theory is an erroneous belief that the contrails of aircraft are being used for nefarious purposes, ranging from altering the weather to mind control. Chemtrail (a portmanteau of "chemical" and "contrail") sightings are often reported on the r/chemtrails sub-messageboard of reddit.com, a discussion website which claims to be "the front page of the internet".

On this sub-messageboard, under a section titled "Definitions & such" is the short description of a chemtrail as

...a visible trail left in the sky by an aircraft and believed by some to consist of chemical or biological agents released as part of a covert operation.

Following this is a short text that encourages both believers and skeptics to adopt a tolerant attitude towards each other with a disclaimer:

@@ -20,9 +20,9 @@

Contingency

A contingency plan; a fall-back, a plan B, what to do if all else fails.

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Contingencies are incidental to something else, dependent on chance, possible, conditional, but usually unnecessary.

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Contingencies are incidental to something else, dependent on chance, possible, conditional, but usually unnecessary.

A contingency is what something allows or doesn’t allow one to do, constrained by its form and use. For example, a pen is often used to write with, but also has the contingency of being used for other purposes, such as scratching one’s back.

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Contrails

Contrails (a portmanteau of "condensation" and "trail") are the line-shaped clouds left behind by the engines of aircraft flying at low altitude. They are commonly composed of water in the form of ice crystals.


@@ -31,6 +31,23 @@


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Temporary Autonomous Zone (TAZ)

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THE CONCEPT OF THE TAZ arises first out of a critique of Revolution, and an appreciation of the Insurrection. The former labels the latter a failure; but for us uprising represents a far more interesting possibility, from the standard of a psychology of liberation, than all the "successful" revolutions of bourgeoisie, communists, fascists, etc.

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The second generating force behind the TAZ springs from the historical development I call "the closure of the map." The last bit of Earth unclaimed by any nation-state was eaten up in 1899. Ours is the first century without terra incognita, without a frontier. Nationality is the highest principle of world governance--not one speck of rock in the South Seas can be left open, not one remote valley, not even the Moon and planets. This is the apotheosis of "territorial gangsterism." Not one square inch of Earth goes unpoliced or untaxed...in theory.

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The "map" is a political abstract grid, a gigantic con enforced by the carrot/stick conditioning of the "Expert" State, until for most of us the map becomes the territory--no longer "Turtle Island," but "the USA." And yet because the map is an abstraction it cannot cover Earth with 1:1 accuracy. Within the fractal complexities of actual geography the map can see only dimensional grids. Hidden enfolded immensities escape the measuring rod. The map is not accurate; the map cannot be accurate.

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So--Revolution is closed, but insurgency is open. For the time being we concentrate our force on temporary "power surges," avoiding all entanglements with "permanent solutions."

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And--the map is closed, but the autonomous zone is open. Metaphorically it unfolds within the fractal dimensions invisible to the cartography of Control. And here we should introduce the concept of psychotopology (and -topography) as an alternative "science" to that of the State's surveying and mapmaking and "psychic imperialism." Only psychotopography can draw 1:1 maps of reality because only the human mind provides sufficient complexity to model the real. But a 1:1 map cannot "control" its territory because it is virtually identical with its territory. It can only be used to suggest, in a sense gesture towards, certain features. We are looking for "spaces" (geographic, social, cultural, imaginal) with potential to flower as autonomous zones--and we are looking for times in which these spaces are relatively open, either through neglect on the part of the State or because they have somehow escaped notice by the mapmakers, or for whatever reason. Psychotopology is the art of dowsing for potential TAZs.

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— Hakim Bey, excerpt from 'The Psychotopology of Everyday Life', T.A.Z, The Temporary Autonomous Zone, 1991.

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diff --git a/pages/ciao_to_wijnhaven.html b/pages/ciao_to_wijnhaven.html index 97247ff..0452a04 100644 --- a/pages/ciao_to_wijnhaven.html +++ b/pages/ciao_to_wijnhaven.html @@ -10,6 +10,12 @@
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Abstraction

To abstract is to pull or draw away rules and concepts in general from specific examples, first principles, literal signifiers, and other methods. So, abstraction becomes a conceptual process of creating super-categorical representatives for subordinate concepts, connecting related concepts as a group, field or category.

@@ -22,7 +28,8 @@

Autonomy

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Autonomy is the freedom to make an informed, uncoerced decision. Autonomous organisations, institutions and individuals have independence and the ability to self-govern.

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Autonomy is the freedom to make an informed, uncoerced decision. Autonomous organisations, institutions and individuals have independence and the ability to self-govern.

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