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    17 zu 7 - Der ideale Grundriss von Castel del Monte und seine Überarbeitung in der frühen Werkplanung
    The Apulian Castel del Monte has a distinct floor plan that is based upon three concentric octagons. This is why the proportions of the floor plan are based upon the Silver Ratio. However, this proporational system requires measurements which have irrational numbers that are very difficult to work with on a construction site. For this reason, the design of the building was converted into a modular system during the early construction planning phase. The modular system operates with whole numbers while preserving the intended design concept. The ratio of 17 to 7 is of fundamental importance here.
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      28  164
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    Am Gruneberg a Pössneck
    The housing estate Pössneck (Thuringia) of the architect Heinrich Tessenow (1876-1950) was built in 1921. It is his most significant urban development in which his outstanding theory of housing development is expressed in an exemplary manner. This applies to the layout of straight streets, the use of house types and their unpretentious craftsmanship. The house types vary in size and adaptation to the distinctly sloping terrain, resulting in a homogeneous yet varied and dynamic appearance.
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      417  279
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    Architettura e ritmo
    The building known as the Festspielhaus (festival theater), located in the garden city of Hellerau near Dresden, was built in 1912 according to the plans of the architect Heinrich Tessenow (1876-1950). It contains spaces for a school for rhythmic dance in addition to a hall for public performances. Tessenow was a leading figure in German architectural culture, and the Festspielhaus is considered not only one of his most significant designs, but, moreover, a key example of reform architecture from the early twentieth century. Constructed for the Swiss music educator, Émile Jaques-Dalcroze to teach his particular method of rhythmic gymnastics, the many students who received training here include the illustrious dancer and pedagogue Mary Wigman. In addition to its stark, undecorated exterior which recalls a highly abstracted temple front, the building also attracted much attention due to the articulation of the interior hall according to ideas propagated by Adolphe Appia, a theorist of avant-garde theater. This included surfaces which seemed mutable and indeterminate, like the walls, that were outfitted with a multitude of lamps and concealed by a layer of translucent cloth, and appeared to glow with varying intensity.
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      389  15190
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    Der Grundriss von Castel del Monte und der Silberne Schnitt
    (2022)
    Castel del Monte (around/after 1240), located in Puglia, is a World Heritage Site. The plan of the building consists of three regular octagons: Inner courtyard, main structure and towers. The origin of this design remains a mystery to this day. The attempts at explanation presented so far are based on an exclusively simple geometrical method. This ignores the extraordinarily high level of knowledge in mathematics at the court of the client, Emperor Frederick II, at the time of its conception and construction. Thus, closer examination shows that not only are the octagons in themselves in relation to the silver section, but also to each other. Furthermore, the accuracy of the construction shows that it must have been done with the help of a computational method. Against this background, the Castel del Monte may be understood above all as an expression of the high level of mathematics at the court of Emperor Frederick II.
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      700  796
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    Der Grundriss von Castel del Monte zwischen idealem Entwurf und Ausführung
    The ideal planning of the Castel del Monte in Apulia was based on the proportions of the silver section. This article shows how resulting irrational numbers were rounded up or down to whole numbers during the work planning, measurement and construction of the building.
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      71  163