Architectural Design and Structure of Computer-Generated Arch with Fractal Geometric Form

Mae, Toshifumi; Asayama, Shuichi

doi:10.1061/40513(279)98

Cited by 3 publications

(3 citation statements)

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“…The box dimension [14], [15], [16], [17] is a parameter to measure the fractal dimension. Assuming that F is a no-null subset of set Rn, δ(F) is the lowest subset count that can cover subset F. The maximum scale of δ(F) is defined as δ.…”

Section: Box Fractal Dimensionmentioning

confidence: 99%

Parameter Deduction and Accurac y Analysis of Track Beam Curves in Straddle - type Monorail Systems

Zhao¹,

Wang²,

Xian-feng³

et al. 2015

JESTR

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The accuracy of the bottom curve of a PC track beam is strongly related to the production quality of the entire beam. Many factors may affect the parameters of the bottom curve, such as the superelevation of the curve and the deformation of a PC track beam. At present, no effective method has been developed to determine the bottom curve of a PC track beam; therefore, a new technique is presented in this paper to deduce the parameters of such a curve and to control the accuracy of the computation results. First, the domain of the bottom curve of a PC track beam is assumed to be a spindle plane. Then, the corresponding supposed top curve domain is determined based on a geometrical relationship that is the opposite of that identified by the conventional method. Second, several optimal points are selected from the supposed top curve domain according to the dichotomy algorithm; the supposed top curve is thus generated by connecting these points. Finally, one rigorous criterion is established in the fractal dimension to assess the accuracy of the assumed top curve deduced in the previous step. If this supposed curve coincides completely with the known top curve, then the assumed bottom curve corresponding to the assumed top curve is considered to be the real bottom curve. This technique of determining the bottom curve of a PC track beam is thus proven to be efficient and accurate.

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Section: Box Fractal Dimensionmentioning

confidence: 99%

Parameter Deduction and Accurac y Analysis of Track Beam Curves in Straddle - type Monorail Systems

Zhao¹,

Wang²,

Xian-feng³

et al. 2015

JESTR

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show abstract

“…Η ανάπτυξη νέων δοµών βασιζόµενων στην fractal γεωµετρία αποτελεί την απαρχή για µία νέα αρχιτεκτονική σύνθεση, που δεν την έχουµε συνηθίσει µέχρι τώρα στο τεχνητό µας περιβάλλον, αλλά υπάρχει σε αφθονία στη φύση, όπως στις ακτογραµµές, στα βουνά, στα δέντρα, κλπ. [Peitgen 1992], [Mae 2000].…”

Section: α2 το μοντερνο κινημα και η εξελιξη των ∆υο υλικωνunclassified

“…To µοντέλο αυτό δηµιουργήθηκε από πρόγραµµα στην γλώσσα C++ ]. [Mae 2000] κάνουν στην εργασία τους µαθηµατική ανάλυση και αρχιτεκτονικό σχεδιασµό ενός τόξου µε fractal γεωµετρία, που η επανάληψή του ως προς τον έναν άξονα δηµιουργεί την τρισδιάστατη απεικόνιση στο χώρο. Εποµένως η µαθηµατική ανάλυση και η τρισδιάστατη αρχιτεκτονική απεικόνιση δεν λειτουργούν ταυτόχρονα σε ένα πρόγραµµα.…”

Section: ε4 παρα∆ειγματα εφαρμογης χαλυβα και γυαλιου σε μη γραμμικη αρχιτεκτονικη και Fractalsunclassified

Αλληλεπίδραση γυαλιού και χάλυβα. Διερεύνηση της λειτουργίας και μορφολογίας με τη χρήση της fractal γεωμετρίας

Βυζαντιάδου¹

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From fractal geometry to architecture: Designing a grid-shell-like structure using the Takagi–Landsberg surface

Rian

Sassone²,

Asayama

2018

Computer-Aided Design

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Architectural Design and Structure of Computer-Generated Arch with Fractal Geometric Form

Cited by 3 publications

References 0 publications

Parameter Deduction and Accurac y Analysis of Track Beam Curves in Straddle - type Monorail Systems

Parameter Deduction and Accurac y Analysis of Track Beam Curves in Straddle - type Monorail Systems

Αλληλεπίδραση γυαλιού και χάλυβα. Διερεύνηση της λειτουργίας και μορφολογίας με τη χρήση της fractal γεωμετρίας

From fractal geometry to architecture: Designing a grid-shell-like structure using the Takagi–Landsberg surface

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