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Relationships between Mathematics and Art in Their Intellectual History - Reflections According to Max Bense 数学与艺术在思想史上的关系--马克斯-本塞的思考
IF 0.5 4区 工程技术
Nexus Network Journal Pub Date : 2024-03-06 DOI: 10.1007/s00004-024-00768-x
Cornelie Leopold
{"title":"Relationships between Mathematics and Art in Their Intellectual History - Reflections According to Max Bense","authors":"Cornelie Leopold","doi":"10.1007/s00004-024-00768-x","DOIUrl":"https://doi.org/10.1007/s00004-024-00768-x","url":null,"abstract":"<p>The research on the interpretation of mathematics as part of the sciences of mind, introduced as ‘Geisteswissenschaften’ in the German philosophy, reflects the relationship between mathematics and arts, including architecture. This study focuses on the early works of the philosopher Max Bense where he described the <i>contours</i> of an intellectual history of mathematics related to philosophy. He pointed out strong relationships between mathematics and all areas of human creation abilities. In particular, his investigations on the relationship between arts, including architecture, and mathematics in important historical phases reveal that the mathematics of an age is reflected aesthetically in the artistic styles or theories of art. His thesis posits that a high point in mathematics corresponds to a high point in art. Later on, Bense developed an aesthetic theory on the basis of mathematics, semiotics and information theory.</p>","PeriodicalId":54719,"journal":{"name":"Nexus Network Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140055232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Agent-Based Principal Strips Modeling for Freeform Surfaces in Architecture 基于代理的建筑自由曲面主条建模
IF 0.5 4区 工程技术
Nexus Network Journal Pub Date : 2024-02-26 DOI: 10.1007/s00004-024-00765-0
{"title":"Agent-Based Principal Strips Modeling for Freeform Surfaces in Architecture","authors":"","doi":"10.1007/s00004-024-00765-0","DOIUrl":"https://doi.org/10.1007/s00004-024-00765-0","url":null,"abstract":"<h3>Abstract</h3> <p>The principal curvature (PC) of a freeform surface, as an important indicator of its fundamental features, is frequently used to guide their rationalization in the field of architectural geometry. The division of a surface using its PC lines into principal strips (PSs) is an innovative way to break down a freeform surface for construction. However, the application of PC networks in architectural design is hindered by the difficulty to generate them and flexibly control their density. This paper introduces a method for PS-based reconstruction of freeform surfaces with different umbilical conditions in the early stages of design. An agent-based modeling approach is developed to find the umbilics and increase the degree of control over the spacing of PC lines. This research can effectively expand the application range of PS-based surface reconstruction methods for freeform architectures.</p>","PeriodicalId":54719,"journal":{"name":"Nexus Network Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139979016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bridges Halifax 2023 哈利法克斯桥梁 2023
IF 0.5 4区 工程技术
Nexus Network Journal Pub Date : 2024-02-26 DOI: 10.1007/s00004-024-00764-1
Rachel Quinlan
{"title":"Bridges Halifax 2023","authors":"Rachel Quinlan","doi":"10.1007/s00004-024-00764-1","DOIUrl":"https://doi.org/10.1007/s00004-024-00764-1","url":null,"abstract":"<p>The Bridges Conference has been running on an annual basis since 1998 and is the foremost international conference dedicated to connections between mathematics and the arts, design and culture. In 2023, Bridges took place at Dalhousie University in Halifax, Nova Scotia, Canada. The conference ran from July 27 to 31, and was packed with a wide variety of plenary and contributed lectures, workshops, exhibitions, performances and public events. This article reports on the scientific, artistic and cultural programme and experience, from the viewpoint of a participant who is an academic mathematician based in Ireland.</p>","PeriodicalId":54719,"journal":{"name":"Nexus Network Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139979023","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analytical Design in Architecture: New Developments 建筑中的分析设计：新发展
IF 0.5 4区 工程技术
Nexus Network Journal Pub Date : 2024-02-06 DOI: 10.1007/s00004-024-00763-2
Vilmos Katona, Kristóf Fenyvesi
{"title":"Analytical Design in Architecture: New Developments","authors":"Vilmos Katona, Kristóf Fenyvesi","doi":"10.1007/s00004-024-00763-2","DOIUrl":"https://doi.org/10.1007/s00004-024-00763-2","url":null,"abstract":"<p>This letter from the guest editors introduces Vol. 26(1) of the Nexus Network Journal: Architecture and Mathematics. This special issue, with the theme ‘Analytical Design in Architecture: New Developments’, presents a convergence of historical and contemporary computational methodologies in architecture. The eleven contributions to this issue harness the power of diverse forms of analytical knowledge to create new, intuitive planning platforms and offer designers constructive feedback on novel design methodologies. The topics presented in this issue range from pragmatic design algorithms to the intuitive understanding of traditional architecture, and from the abstract space to experience-oriented education.</p>","PeriodicalId":54719,"journal":{"name":"Nexus Network Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139767074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exploring Interlocking Systems Through the Design of Joint-Based Pop-Up Structures 通过设计基于连接的弹出式结构探索连锁系统
IF 0.5 4区 工程技术
Nexus Network Journal Pub Date : 2024-01-29 DOI: 10.1007/s00004-023-00757-6
Gizem Özerol Özman, Makbule Özdemir, Semra Arslan Selçuk
{"title":"Exploring Interlocking Systems Through the Design of Joint-Based Pop-Up Structures","authors":"Gizem Özerol Özman, Makbule Özdemir, Semra Arslan Selçuk","doi":"10.1007/s00004-023-00757-6","DOIUrl":"https://doi.org/10.1007/s00004-023-00757-6","url":null,"abstract":"<p>Digital design techniques and fabrication technologies have become essential in architectural design, influencing the design process significantly. The pursuit of form in both digital and physical environments is a priority in architectural education, promoting the development of students’ multidimensional thinking skills. This article discusses a graduate course that aims to introduce digital design concepts and their integration with the fabrication techniques. The course focuses on students’ interaction with digital tools during the design and fabrication stages, particularly emphasizing the design of interlocking modular structures. Through experiential engagement with design and fabrication tools, students enhance their problem-solving skills and gain new knowledge. The course concludes with testing the digital and physical production stages, demonstrating the positive impact of digital design techniques on students’ learning and creative abilities.</p>","PeriodicalId":54719,"journal":{"name":"Nexus Network Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139582908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Survey of the Ballistic Imprints for a Renewed Image of Unearthed Pompeii 调查弹道印记，重塑出土庞贝古城形象
IF 0.5 4区 工程技术
Nexus Network Journal Pub Date : 2024-01-25 DOI: 10.1007/s00004-023-00762-9
Adriana Rossi
{"title":"The Survey of the Ballistic Imprints for a Renewed Image of Unearthed Pompeii","authors":"Adriana Rossi","doi":"10.1007/s00004-023-00762-9","DOIUrl":"https://doi.org/10.1007/s00004-023-00762-9","url":null,"abstract":"<p>The paper collects prior studies about the cavities in the northern portion of Pompeii’s fortification. The exceptional circumstances that characterize the unearthed city allow to ascribe those cavities to the blows of the artillery employed by the Romans in the first century BC during the siege. The survey of the cavities was carried out via traditional methods and enabled to derive ballistic data to quantify the power of the arms used. In conclusion, the paper suggests that a photogrammetric survey would be opportune. The precise and accurate geometric and radiometric characterization of the cavities will be prodromal to the virtual construction of 3D digital twins (negative–positive) and will support the mechanical analyses. The results will be employed to reconstruct Roman artillery (ballistae and catapults) suitable for a correct/reliable reconstruction of the siege followed by and innovative dissemination of the image of ancient Pompeii.</p>","PeriodicalId":54719,"journal":{"name":"Nexus Network Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139583065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of Anatolian Traditional Weaving Technique in the Context of Computational Design 计算设计背景下的安纳托利亚传统编织技术分析
IF 0.5 4区 工程技术
Nexus Network Journal Pub Date : 2024-01-22 DOI: 10.1007/s00004-023-00761-w
Ayşe Nesligül Çevik, Selin Oktan, Serbülent Vural
{"title":"Analysis of Anatolian Traditional Weaving Technique in the Context of Computational Design","authors":"Ayşe Nesligül Çevik, Selin Oktan, Serbülent Vural","doi":"10.1007/s00004-023-00761-w","DOIUrl":"https://doi.org/10.1007/s00004-023-00761-w","url":null,"abstract":"<p>This study focuses on the traditional weaving technique, which has its origins in Anatolia. It is aimed to uncover the plain, twill, and satin weaving techniques within the context of computational design approaches. The objectives of this study are to analyse and decipher the weaving patterns through a computational model. The core idea of this study consists of five steps that represent a cycle of the weaving from traditional processes to digital and digital fabrication. Eight parameters are defined to integrate the weaving technique into the computational model. A computational weaving model was developed which transforms the two-dimensional pattern into a three-dimensional model. Describing weaving patterns using parameters is crucial in today’s world for cultural transfer of traditional weaving. Thus, weaving techniques can be used for designing architectural elements, such as shells, panels, structural elements.</p>","PeriodicalId":54719,"journal":{"name":"Nexus Network Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139560742","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Study of the Effects Created by the Sunlight Passing Through the Rose Windows of Mallorca Cathedral 研究阳光穿过马洛卡大教堂玫瑰窗所产生的效果
IF 0.5 4区 工程技术
Nexus Network Journal Pub Date : 2024-01-10 DOI: 10.1007/s00004-023-00760-x
Albert Samper, David Moreno-García, Blas Herrera
{"title":"Study of the Effects Created by the Sunlight Passing Through the Rose Windows of Mallorca Cathedral","authors":"Albert Samper, David Moreno-García, Blas Herrera","doi":"10.1007/s00004-023-00760-x","DOIUrl":"https://doi.org/10.1007/s00004-023-00760-x","url":null,"abstract":"<p>This paper shows the light effects and geometric alignments created by the sunlight passing through the stained glasses of the eastern rose window in Mallorca Cathedral and projecting on the inner side of the cathedral's main façade and on the cathedral's floor. As well as providing more accurate information about these already known light effects, this paper makes use of laser scanning techniques and astronomical and geographical concepts in order to graphically display other novel effects which occur in coincidence with certain religious festivities throughout the year.</p>","PeriodicalId":54719,"journal":{"name":"Nexus Network Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139422292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Computational Design and Fabrication Strategy for Topology Optimization of Spiral Staircase Using Metal Wire Arc Additive Manufacturing 利用金属线弧快速成型技术优化螺旋楼梯拓扑的计算设计与制造策略
IF 0.5 4区 工程技术
Nexus Network Journal Pub Date : 2024-01-09 DOI: 10.1007/s00004-023-00759-4
Amr Atef Elhamy, Rowan Elselmy
{"title":"Computational Design and Fabrication Strategy for Topology Optimization of Spiral Staircase Using Metal Wire Arc Additive Manufacturing","authors":"Amr Atef Elhamy, Rowan Elselmy","doi":"10.1007/s00004-023-00759-4","DOIUrl":"https://doi.org/10.1007/s00004-023-00759-4","url":null,"abstract":"<p>The study presents the integration of Topology Optimization (TO) as a design strategy and Wire Arc Additive Manufacturing (WAAM) as a fabrication strategy. Although TO is well-known in the discipline, a gap in implementing this technique in architectural design due to fabrication limitations remains. In this research, an integrated framework is proposed to obtain a design where both TO and WAAM printing are implemented simultaneously. This framework is divided into five main phases, (1) checking suitability, (2) preprocessing, (3) processing, (4) post-processing, and (5) printing. The framework is then applied to the design of a topology-optimized spiral staircase and studied for fabrication using WAAM metal 3D printing. The results conclude that avoiding the usual standardization of design can be realized by implementing a framework that takes the fabrication strategies into consideration throughout the design process.</p>","PeriodicalId":54719,"journal":{"name":"Nexus Network Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139412625","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hagia Sophia in Constantinople: Unveiling Its Integrated Conceptual Design Through Comparative Analysis 君士坦丁堡圣索菲亚大教堂：通过比较分析揭示其综合概念设计
IF 0.5 4区 工程技术
Nexus Network Journal Pub Date : 2024-01-03 DOI: 10.1007/s00004-023-00758-5
{"title":"Hagia Sophia in Constantinople: Unveiling Its Integrated Conceptual Design Through Comparative Analysis","authors":"","doi":"10.1007/s00004-023-00758-5","DOIUrl":"https://doi.org/10.1007/s00004-023-00758-5","url":null,"abstract":"<h3>Abstract</h3> <p>The architectural complexity of Hagia Sophia, a grand monument erected by Justinian in Constantinople, has been a topic of substantial investigation across diverse disciplines such as architecture, art history, and archaeology. Research efforts focused on elucidating the geometric relationships intrinsic to the monument's design, providing invaluable insights into the philosophical and symbolic influences that shaped its construction. However, despite significant strides, a comprehensive understanding of Hagia Sophia’s complex geometric design remains elusive due to the inherent challenges in integrating diverse geometric patterns into a unified model. The current study aims to bridge this gap through a comparative analysis of the mathematical and geometric principles used in the design of Hagia Sophia with the inscribed in stone complex geometrical design found in the Octagon at the Galerious Complex in Thessaloniki and has recently been recognised as the conceptual design for the Kastas monument at Amphipolis. By exploring parallels and creating comparisons, the article deepens the understanding of the design intent and geometric foundations that underpin the enduring architectural legacy of Hagia Sophia.</p>","PeriodicalId":54719,"journal":{"name":"Nexus Network Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139101960","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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