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  • Fractal Patterns as Fitness Criteria in Genetic Algorithms Applied as a Design Tool in Architecture
    Nexus Netw. J. (IF 0.431) Pub Date : 2020-05-27
    John Charles Driscoll

    This paper explores the generative use of a genetic algorithm incorporating a computer-based fractal dimension tool termed “DBVgen”. Fractals offer a quantitative and qualitative relation between nature, the built environment and computational mechanics and in this paper are explored as a bridge between these realms. The primary objective was to develop and employ a sophisticated analytic tool within

    更新日期:2020-05-27
  • Modelling the Stars of the Sagrada Familia
    Nexus Netw. J. (IF 0.431) Pub Date : 2020-05-19
    María Desamparados de los López de Briñas Ferragut

    In the Nativity façade of the Sagrada Familia in Barcelona, a few three-dimensional star shapes appear. Although it is widely accepted that Gaudí hardly ever used polyhedra in his works, the analysis of the shape of these stars reveals that, under an organic appearance, there is a hidden morphology that can be explained by using theoretical models of star polyhedra. In this paper will be discussed

    更新日期:2020-05-19
  • The House of the White Man: A Mathematical Description
    Nexus Netw. J. (IF 0.431) Pub Date : 2020-05-19
    Elena Marchetti, Luisa Rossi Costa

    Johannes Itten, along with Walter Gropius and others, was one of the most important founders of the Bauhaus in Weimar, and a teacher at the same time. Even if Itten was not a mathematician, he had a great interest in different geometric forms, and revealed a great mathematical intuition. Itten realized “by hand” the important Fire Tower, applying translations, reductions and rotations of cubes and

    更新日期:2020-05-19
  • Visual-Asymmetry in Adolf Loos’s Moller House : A Computational Analysis Testing Propositions About Performance and Spectation
    Nexus Netw. J. (IF 0.431) Pub Date : 2020-05-15
    Wenzhi Huangfu, Michael J. Ostwald, Thomas Chung

    Architectural historians describe Adolf Loos’s 1928 Moller House as having an interior spatial arrangement that constructs unequal or asymmetrical visual interactions between inhabitants, putting some on display and positioning others as observers. However, there is disagreement about the specific way the Moller House creates these relationships. This paper uses the ASVI computational technique to

    更新日期:2020-05-15
  • Islamic Geometric Patterns in Higher Dimensions
    Nexus Netw. J. (IF 0.431) Pub Date : 2020-05-11
    Sam Moradzadeh, Ahad Nejad Ebrahimi

    The purpose of this paper is to develop the Islamic geometric patterns from planar coordinates to three or higher dimensions through their repeat units. We use historical plane methods, polygons in contact (PIC) and point-joined, in our deductive approaches. The mentioned approach makes use of a novel method of tessellation that generates 3D Islamic patterns called “interior polyhedral stellations”

    更新日期:2020-05-11
  • The Search for Pattern in Architecture and Mathematics
    Nexus Netw. J. (IF 0.431) Pub Date : 2020-04-22
    Kim Williams

    Editor-in-Chief Kim Williams examines the role of the search for pattern in establishing relationships between architecture and mathematics, and introduces the articles in Nexus Network Journal vol. 22 no. 2 (2020).

    更新日期:2020-04-22
  • Publisher Correction to: Leonardo’s Missing Sketch for the Adoration of the Magi
    Nexus Netw. J. (IF 0.431) Pub Date : 2020-04-06
    Tomás García-Salgado

    During production the italics that distinguish m for modules from m for meters were inadvertently suppressed.

    更新日期:2020-04-06
  • Measuring Visual Complexity of Sedad Eldem’s SSK Complex and Its Historical Context: A Comparative Analysis Using Fractal Dimensions
    Nexus Netw. J. (IF 0.431) Pub Date : 2020-04-02
    Mario Lodeweik Lionar, Özgür Ediz

    Located in the District of Zeyrek in Istanbul, Turkey, and completed in the 1960s, the Sosyal Sigortalar Kurumu (SSK) or Social Security Agency Complex is currently accepted as one of the most important works of the architect Sedad Hakkı Eldem as well as one of the key modern buildings in Turkey. The most admired characteristic of this complex is how it is harmonically integrated into its historical

    更新日期:2020-04-02
  • Skeletons, Shapes, and the Shift from Surface to Structure in Architectural Geometry
    Nexus Netw. J. (IF 0.431) Pub Date : 2020-03-13
    Theodora Vardouli

    Architects who digitally manipulate geometry confront a rift between what is being displayed on the screen (metric shapes) and what is being computed (their non-metric skeletons). This article critically reads this relationship between surface appearance and abstract structure against a historical backdrop of changing attitudes toward the visual world in postwar architectural and mathematical cultures

    更新日期:2020-03-13
  • Baldassare Peruzzi and Theatrical Scenery in Accelerated Perspective
    Nexus Netw. J. (IF 0.431) Pub Date : 2020-03-09
    Philip Steadman

    From the early sixteenth century, stage sets in the Italian theatre were constructed in accelerated perspective. The stage and scenery were shallow, but the sets give illusions of much deeper spaces—typically piazzas and receding streets surrounded by buildings. The best-known example is Sebastiano Serlio’s temporary theatre of 1539 described in his second book on Architecture. This paper argues that

    更新日期:2020-03-09
  • Geometry of Curves and Surfaces in Contemporary Chair Design
    Nexus Netw. J. (IF 0.431) Pub Date : 2020-03-04
    Alberto Lastra, Manuel De Miguel

    In the present work, we focus on some of the current trends used in furniture design, from a dual point of view: differential geometry of curves and surfaces, and the existing perspective deriving from the usual techniques of computer-aided design. The contributions of architects such as Alvar Aalto, Mies van der Rohe, Marcel Breuer, Arne Jacobsen and Charles and Ray Eames to contemporary chair design

    更新日期:2020-03-04
  • Ancient Aegean Measurement Systems Analysed Through the Treasury of Atreus
    Nexus Netw. J. (IF 0.431) Pub Date : 2020-02-03
    Maria Teresa Como

    Here the debated issue of units of length in building construction practice in ancient Aegean architecture is focused through the case study of the Mycaenean tholos tomb, the Treasury of Atreus. Recent architectural analysis of the monument highlights a geometric mesh underlying its architectural form, which reveals the coexistence of more than one unit of length and the geometric relations among them

    更新日期:2020-02-03
  • Byzantine Floor Patterns of Interlocking Twisted Cable Loops
    Nexus Netw. J. (IF 0.431) Pub Date : 2019-12-16
    Emil Makovicky

    The twisted-cable type of patterns is found as Late Roman–Byzantine and early Umayyad floor patterns, with considerable uniformity in texture, colors, and technique. They consist of ‘cables’ which together form circles, circle segments, squares and other visually prominent ornamental elements. Cables mostly form complex closed loops, joined at points of local overlap by interlocking ‘knots’. The loops

    更新日期:2019-12-16
  • A Gothic-Renaissance Synthesis in a Diego de Riaño Vault
    Nexus Netw. J. (IF 0.431) Pub Date : 2019-12-05
    Antonio Ampliato, Eduardo Acosta

    The aim of this article is to explain the design and construction processes employed in the ribbed vault prolonged by translation which Diego de Riaño (†1534) built in the antesacristy of the church of Santa María in Carmona. The vault represents an outstanding synthesis between the Late Gothic diagonal ribs and severies and the emerging systems that adopt the form of orthogonal grids and tend towards

    更新日期:2019-12-05
  • Mathematical Commentary on Le Corbusier’s Modulor
    Nexus Netw. J. (IF 0.431) Pub Date : 2019-11-25
    Natasha Rozhkovskaya

    This contribution presents mathematical comments on Le Corbusier’s scale of proportions the Modulor. The analysis covers the structure of the scale, approximation routines, errors of the geometric deduction, and the evaluation of the postulates of harmonious design.

    更新日期:2019-11-25
  • Leonardo’s Missing Sketch for the Adoration of the Magi
    Nexus Netw. J. (IF 0.431) Pub Date : 2019-10-23
    Tomás García-Salgado

    I begin with a question: in Leonardo’s famous Adoration of the Magi at what distance is the observer from the temple in ruins? The main clue we have to find the answer is the preliminary sketch of the temple, but it is not the one he transferred to the painting. I believe that Leonardo most likely drew another sketch; a sketch that somehow has been lost without leaving a trace. Based on the painting

    更新日期:2019-10-23
  • Oval Domes. The Case of the Basílica de la Virgen de los Desamparados of Valencia
    Nexus Netw. J. (IF 0.431) Pub Date : 2019-10-08
    Vicenta Calvo Roselló, Esther Capilla Tamborero, Juan Carlos Navarro Fajardo

    The dome of the Basílica de la Virgen de los Desamparados of Valencia is an emblematic example of Valencian baroque architecture and painting. Its shape, oval or elliptical, has been the subject of controversy in various studies. The study of oval domes throughout history is a very interesting field of research because, among other things, the determination of the exact shape is important in order

    更新日期:2019-10-08
  • Equinox in Petra: Land- and Skyscape in the Nabataean Capital
    Nexus Netw. J. (IF 0.431) Pub Date : 2019-10-03
    Juan Antonio Belmonte, Antonio César González-García, Andrea Rodríguez-Antón, María Antonia Perera Betancor

    In earlier works, we had shown the actual possibility that the Nabataeans had used the Equinox, or an astronomical event equivalent to this, as an important milestone to control the calendar, stablish festivals and perform pilgrimages to important sacred sites. In this paper we present evidence that this was indeed the case. In a research carried out in Petra in March 2018, equinoctial phenomena were

    更新日期:2019-10-03
  • Method of Construction of Decagonal Self-Similar Patterns
    Nexus Netw. J. (IF 0.431) Pub Date : 2019-09-23
    Aziz Khamjane, Rachid Benslimane, Zouhair Ouazene

    Because of its unequal beauty and mathematical sophistication, Islamic art has received a great attention from several scientists. Hence, several works have been done to investigate its mathematical structure, and to discover its principle of construction. Up to now, no method of constructing new self-similar patterns were proposed. In this paper, we will present a method for constructing new self-similar

    更新日期:2019-09-23
  • Tessellations in the Architecture of Pablo Palazuelo
    Nexus Netw. J. (IF 0.431) Pub Date : 2019-09-21
    Gonzalo Sotelo Calvillo

    After studying the unpublished sketches of the Spanish artist Pablo Palazuelo, this essay proposes the existence of geometric patterns that order his designs. To illustrate the proposal, this paper selects three representative projects by Palazuelo that attempt to demonstrate the presence of a working process related to a mathematical substrate. Specifically, the use of an irregular tiling is proposed

    更新日期:2019-09-21
  • Was There Ever an Arch in the So-Called Ark-e-Alishah?
    Nexus Netw. J. (IF 0.431) Pub Date : 2019-09-09
    Amin Moradi, Mansour Houseinpour Mizab

    The main challenge of any structure is to withstand the thrust during and after construction process. The architectural remnants of the so-called structure of Ark-e-Alishah in Tabriz; Northwest Iran, was for a long time considered the last of a sequence of the large-scale monumental structures, with its hypothesized 29 m diameter arch being the most magnificent made in the Islamic World during Ilkhanid

    更新日期:2019-09-09
  • Hyperboloid Modules for Deployable Structures
    Nexus Netw. J. (IF 0.431) Pub Date : 2019-08-14
    Cristina Ramos-Jaime, José Sánchez-Sánchez

    This paper presents the process used to generate hyperboloid modules for deployable structures and the general equations for their design. These units are formed by three or more rods connected at a common articulated joint. During the opening process all the rods rotate in the same direction, and at the final unfolded stage each bar sits on its adjacent bar, activating a reciprocal self-locking system

    更新日期:2019-08-14
  • Generating Square Kufic Patterns Using Cellular Automata
    Nexus Netw. J. (IF 0.431) Pub Date : 2019-07-23
    Mojtaba Sabetfard, Hadi Nadimi

    This paper investigates square Kufic scripts, a type of architectural decorative art in Islamic culture, as a visual pattern. Considerable research has been carried out previously on the subject, treating the square Kufic scripts as text. In contrast, the visual approach of this paper proposes that the pattern generation in Kufic scripts needs to be investigated. The main contribution of this research

    更新日期:2019-07-23
  • Introducing a New Method to Convert a 2D Hand-Drawn Perspective to a 3D Digital Model
    Nexus Netw. J. (IF 0.431) Pub Date : 2019-07-16
    Seyed Hossein Zargar, Jaleh Sadeghi, Mona Hashemi, Narjes Motallebi, Ali Andaji Garmaroodi

    Nowadays, computer-models play an important role in the presentation of architectural designs. Despite the widespread computer advances, many architects still find hand-drawn sketches useful. Some designers use existing rules to draw a specific perspective view of the observer on the paper. In this research, the very first steps of this conversion are studied and introduced as a preface for further

    更新日期:2019-07-16
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