Reoarhitectura
Photo Nr. 2

Möbius Band and its derivatives

The Theory of Möbius Band and of its derivatives represents the essence that fundaments the Rehoarchitectura. The originality of the proceeding which is the basic of this new, inspired architectur, consist of the topological transformation of the curved Möbius Band into configurations with square forms, called "non-orientable enantiomorphe formative configurations", shorten "nfc".
These derivatives of the Möbius Band have the same main characteristics (feature) like the mother-band:
  • non-orientability, which means that the element has only one face end one edge.
  • enantyomorfy (grec. enantio = contrary), which is the characteristic feature of some substance to materialize into two oposing forms, one being the mirror image of the other one.
The "nfc" can be built in open structures, assembling the elementary, opposed (reversed) shapes through a new, original method of dealing with compositioning, which include (the) aggreations, juxtapositioning, superpositioning, chaining of the configurations; this method leads to a growth, a developing of extensible, boundless spatial units towards all directions.

Controlled Aggregation

In the constitution of Rheoarchitecture the most important lay out procedure is the controlled aggregation: assembling of an element together with another enantiomorphe element (only one), alternating and building up together a spatial complex. Through aggregation, practically, successively, any number that is interceptant becomes an interceptor of the following interconnection; in a closed system all nfc become "interception".

Non-orientable Bitetrahedron

The triangular surfaces are formed in specific forms. This bitetrahedron is made by two tetrahedrons with a common base. It is presented the way of constitution of a torus, through the aggregation of 6 bitetrahedrons, alternating with other 6 enantiomorphe. Because it is formed by 12 bitetrahedrons, this will be named Torus dodecabitetrahedric.