Tuesday, 1 December 2009


A space is ultra-connected if no two non-empty closed sets are disjoint. Every ultra-connected space is path-connected.


xtina said...


xtina said...

A graph is complete if every pair of points is adjacent and connected if
every pair of points is joined by a path.

Structural Models in anthropology,Hage, p.33

xtina said...


xtina said...

The density of a (p, q) graph G is the ratio of the number q of lines of G to the number of lines in K.

A cutpoint of a connected graph is one whose removal (together with its
incident lines) disconnects it, that is, divides it into two or more subgraphs
that have no lines joining them and hence are not connected to each other.

Finally, an isomorphism between two graphs Gx = (Vx, E{) and G2 = (V2f
E2) is a one-to-one correspondence between V{ and V2 that preserves adjacency.

xtina said...

khipu counter

"Sixteenth-century Spanish chronicler Bernabé Cobo wrote how in ancient Peru one could find corn (known locally as choclo) in every colour under the sun: white, yellow, purple, black, red and mixed. Today, farmers along the Peruvian coast, highlands and jungle still grow more than 55 varieties of corn, more than anywhere else. This photo I took in a food market in the Sacred Valley of the Incas shows that Cobo was not exaggerating"

xtina said...

each khipu a community
each cord a household.
each knot the quantity of corn crop.
if the ending is complete, the harvest is complete.
threads correspond by size and color to the different variaties of corn.
if different variaties are cultivated in the same field, they are represented with different colors in the same cord.
corn is the main product in the area.
probably a counter for taxation purposes. no obvious sense in correlating different khipus.

xtina said...


Artist Marc Ngui recently returned to his A Thousand Plateaus drawing project, in which he visually interpretats the famous text by Gilles Deleuze and Felix Guattari. Ngui had previously only illustrated the first two chapters, but he is now working his way through the rest of the book and uploading his work to a Tumblr.

The above image is from the original series, created as an illustration of chapter 1, paragraph 6, which includes some rather key statements: "Any point of a rhi­zome can be connected to anything other, and must be;" and, "A rhizome ceaselessly establishes connections between semiotic chains, organizations of power, and circumstances relative to the arts, sci­ences, and social struggles."