Session 2 :: 13.5.2020 :: Branches & Bifurcations :: Birke

Order of the day

  • 10:00 - 10:10 Digitales Ankommen :: logging into the Matrix room
  • Ausatmen :: Questio :: What is a digital tree ?
  • Einatmen :: (DIGITALE) :: Process trees, Folder structures, Taxonomies, Binary search trees
  • Ausatmen :: Exercicio :: Binary trees (1-32)
  • Einatmen :: (BIO) :: Birke & Branches
  • Ausatmen :: Lectio :: E-flux
  • Eintatmen :: (ART) :: The magical forest of Ursula L. Guin
  • Ausatmen :: Repetitio :: Apple, Avocado
  • Sprichwort

What is a digital tree ?

You are going to be randomly associated into five "break-out" rooms. 

Within each room, address the question "What is a digital tree ?" / "What kind of digital trees do You know ?" with words, pictures, songs, free associations. 

(if You use the "shared whiteboard" functionality don't forget to make a screenshot before the break-out room closes) 

You have time until 10:40. Afterwards, each group's speaker will be asked to do a 1 min report. 

REMEMBER: There is no correct or incorrect answer.

Einatmen 2 (DIGITAL) :: Formal Systems

WIKI :: A formal system is used for inferring theorems from axioms according to a set of rules. Each formal system uses primitive symbols (which collectively form an alphabet) to finitely construct a formal language from a set of axiomst through inferential rules of formationThe system thus consists of valid formulas built up through finite combinations of the primitive symbols—combinations that are formed from the axioms in accordance with the stated rules.

Process trees

Every time You boot Your computer (or a smartphone), a new tree emerges in the realm of information.

Folder structures

"create new directory" = establish a new branch = create information


Taxonomy is the practice and science of categorization based on discrete sets. The word is also used as a count noun: a taxonomy, or taxonomic scheme, is a particular categorisation. The word finds its roots in the Greek language τάξις, taxis (meaning 'order', 'arrangement') and νόμος, nomos ('law' or 'science'). Originally, taxonomy referred only to the categorisation of organisms or a particular categorisation of organisms. In a wider, more general sense, it may refer to a categorisation of things or concepts, as well as to the principles underlying such a categorisation. ( )

Today's course

Binary trees

From a graph theory perspective, binary (and K-ary) trees as defined here are actually arborescences. A binary tree may thus be also called a bifurcating arborescence—a term which appears in some very old programming books, before the modern computer science terminology prevailed. It is also possible to interpret a binary tree as an undirected, rather than a directed graph, in which case a binary tree is an orderedrooted tree. Some authors use rooted binary tree instead of binary tree to emphasize the fact that the tree is rooted, but as defined above, a binary tree is always rooted. A binary tree is a special case of an ordered K-ary tree, where k is 2. ( )

Exercicio :: Binary tree 1-32

You will be divided into break-out rooms in which You will play the "number guessing game". Game goes like this:

one person chooses, in his|her mind only a number N between 0 and 31

other start at node 16 and ask "is N smaller than 16?" ... if the answer is "yes", You will take the upper/left road leading to number 8 ... if the answer is "no", You will take the lower/right road leading to number 24

now You ask, "is N smaller than 8?" (or 24)...again, if the answer is "yes", You take the upper/left road (leading You to 4, resp. 20), in other case You take the lower/right road (leading You to 12, resp. 28)

You repeat two more times until You reach the leaves of the tree....if N is odd, the leaf node where You finished is the number N

(if number N is even, than it is one of those numbers which You traversed on Your path, e.g. 16,24,20 or 22 if You ended up at leaf 23)

then another person invents the number and others guess.

P.S. this binary tree will help You :

Birch :: Birke :: Betula Pendula :: *bʰerHǵs :: The Luminant

A species of tree in the family Betulaceae (ord. Fagales, clade Rosids, kingdom Plantae). The silver birch typically reaches 15 to 25 m tall (exceptionally up to 31 m) with a slender trunk usually under 40 cm diameter. The bark on the trunk and branches is golden-brown at first, but later this turns to white as a result of papery tissue developing on the surface and peeling off in flakes, in a similar manner to the closely related paper birch (B. papyrifera). The bark remains smooth until the tree gets quite large, but in older trees, the bark thickens, becoming irregular, dark, and rugged. The leaves have short, slender stalks and are 3 to 7 cm long, triangular with broad, untoothed, wedge-shaped bases, slender pointed tips, and coarsely double-toothed, serrated margins.

Birchjuice / Birkensaft

in March / April

choose a tree which has cca 20-30 cm diameter at 1m height

at 1m height, drill a cca 2cm-5cm hole with 0.5 cm diameter

insert a drinking straw or a glass tube

collect max 2-3 liters per tree

enclose the drill hole with earth/soil and ash (otherwise the tree could "bleed to death")

for a chosen tree, do not apply more often than once in 2 years

What a Birch provides ..., containers, boats, mats, roofs, brooms, craddles for newborn, tar, oil, birch flour, torches, paper / postcards, fire in rainy times, chewing gums ...

... information about beginning of the spring, substrate for most robust trees,  shamanic drums ... 
...Flavonoids, Saponines, Salicylate, Vitamine C, Ascorbic acids, Betulin acid (good against skin cancer), Xylit ...

Birch provides four good things: she illuminates (used for torches); she strangles cries (birch tar used for creeking wheels); she heals the sick and she purifies (birch canes in sauna).


Die Birke ist auch heut zu Tag in großer Ehr, dieweil sie die böse uns ungehorsame Kinder und Jugend straffet. Daher man dann in Teutschen Reimen sagen: O Du gute Bircken Ruth, Du machst die ungehorsamen Kinder gut ! (Lonicerus, 1679)


Beith is the Irish name of the first letter (Irish "letter": sing.fid, pl.feda) of the Ogham alphabet, meaning "birch". In Old Irish, the letter name was Beithe, which is related to Welsh bedw(en), Breton bezv(enn), and Latin betula. Its Proto-Indo-European root was *gʷet- 'resin, gum'. Its phonetic value is

This moreover is the first thing that was written by Ogham, i.e. (the birch) b was written, and to convey a warning to Lug son of Ethliu it was written respecting his wife lest she should be carried away from him into faeryland, to wit, seven b’s in one switch of birch: Thy wife will be seven times carried away from thee into faeryland or into another country, unless birch guard her. On that account, moreover, b, birch, takes precedence, for it is in birch that Ogham was first written. (from Auraicept na n-Éces, "the Scholar's Primer")