Kiem, Karl

Preferred name
Kiem, Karl
Email
opus@karl-kiem.com

Settings

Now showing 1 - 3 of 3
  • Some of the metrics are blocked by your 
    consent settings
    PublicationAccess status: Open Access ,
    17 zu 7 - Der ideale Grundriss von Castel del Monte und seine Überarbeitung in der frühen Werkplanung
    (2025)
    Kiem, Karl
    ;
    Stolz, Ann-Christin
    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.
    Source Type:Preprint
    DOI:10.25819/ubsi/10841
      28  164
  • Some of the metrics are blocked by your 
    consent settings
    PublicationAccess status: Open Access ,
    Der Grundriss von Castel del Monte und der Silberne Schnitt
    (2022)
    Kiem, Karl
    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.
    Source Type:Preprint
    DOI:10.25819/ubsi/10224
      700  796
  • Some of the metrics are blocked by your 
    consent settings
    PublicationAccess status: Open Access ,
    Der Grundriss von Castel del Monte zwischen idealem Entwurf und Ausführung
    (2025)
    Kiem, Karl
    ;
    Stolz, Ann-Christin
    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.
    Source Type:Preprint
    DOI:10.25819/ubsi/10659
      71  163