Početné pôdorysy veľkých dvojpriestorových domov kolovej konštrukcie na sídlisku lengyelskej kultúry (Lengyel II) v Žlkovciach predstavujú špecifický typ neolitickej architektúry. Takmer pravouhlé pôdorysy domov a striktne dodržiavaná konštrukčná schéma podnietili hľadanie jednotky dĺžkovej miery. V práci bola vykonaná analýza rozmerov domov zo Žlkoviec a Santovky štyrmi matematickými metódami: autokorelačnou analýzou, Fourierovskou analýzou, metódou minimalizácie fázovej disperzie PDM, metódou vlnkovej transformácie WT (wavelets transform) a tiež nelineárnou analýzou na zistenie počtu parametrov, s ktorými mohli súvisieť rozmery pôdorysov. Bolo zistené, že pri stavbe domov bol pravdepodobne použitý dĺžkový etalon blízky hodnote 2 metrov, ktorý sme pracovne nazvali lengyelská siaha (LS). S využitím LS bola konštruovaná aj elipsa primárneho rondelu v Žlkovciach. and This article presents an analysis of the numerous ground–plans of large two–roomed houses made of wooden posts from the Žlkovce settlement dating to the second period of the Lengyel culture. The homogenous scheme of the house–construction and the approximately rectangular ground–plans of the majority of uncovered houses initiated our search for a possible Neolithic length etalon. Dimensions of 19 houses from Žlkovce and from another Lengyel site Santovka were analysed by means of four mathematical methods: the autocorrelation analysis, the Fourier analysis, the method of phase–dispersion minimalization (PDM) and the method of wavelets transform (WT). An additional non–linear analysis uncovered a number of further parameters connected to ground–plan dimensions. A length etalon of approximately two meters has been calculated. The etalon has provisionally been labelled as "Lengyel span" (LS) or a Lengyel fathom. It was most probably used both in the construction of the houses and in the construction of the first ellipsoidal palisade enclosure in Žlkovce.
In the year 2008, the Slovak Archeological and Historical Institute (SAHI) got the chance to begin excavations at the famous classical Mayan city of Uaxactún. We decided to choose the pre-classical Group H North as the main focus of our project. We had positive expectations, but, in fact, the results exceeded the expectations. The excavations of the first season were focused especially on the Upper platform with structures H I, H III, H V and stucco masks. Then we extended the excavations to the Lower platform, working especially on structures H XV and H XVI. The results were impressive. We found that the buildings on the Upper platform represent the stars of the Orion constellation and also, possibly, the myth of creation. This space was not accessible to the general population, but only to priests and the elite. The whole platform is oriented to the east and was probably used as a residential space for the king himself, his family and nobles. According to the fact that the Orion constellation was, at a particular time of year, right above the structure H I, we can consider that the whole triadic group represents creation, or "the place of three stones". The radial pyramid H XV was used as an observation point, from which Mayan astronomers were able to watch the setting and rising of the Orion constellation. The setting of Orion is very interesting, because it probably signals the start of the rainy season and also events connected with agricultural rituals and the sowing of corn. The unexpected astronomical use of this architectural complex Group H North indicates the Mayan emphasis on a cosmogonic view of the world connected with the worship of kings and public agricultural rituals.