Visual Proofs in Mathematics and Architecture

被引:1
|
作者
Gonzalez, Juan Fernandez [1 ]
机构
[1] Harvard Univ, Grad Sch Design, Cambridge, MA 02138 USA
关键词
Geometry; Discrete mathematics; Regular polygons; Representations of architecture; Design theory;
D O I
10.1007/s00004-023-00714-3
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
Within the existing taxonomy of mathematical proofs, visual proofs distinguish themselves by using representation as a tool for demonstration. This paper explores visual proofs in mathematics and their relationship with architectural representation. Most notably, stereotomy and graphic statics exhibit qualities of visual proofs by demonstrating how forms are generated.
引用
下载
收藏
页码:505 / 511
页数:7
相关论文
共 50 条
  • [41] DYNABOARD - USER ANIMATED DISPLAY OF DEDUCTIVE PROOFS IN MATHEMATICS
    KALTENBACH, M
    FRASSON, C
    INTERNATIONAL JOURNAL OF MAN-MACHINE STUDIES, 1989, 30 (02): : 149 - 170
  • [42] Doing and proving: The place of algorithms and proofs in school mathematics
    Ross, KA
    AMERICAN MATHEMATICAL MONTHLY, 1998, 105 (03): : 252 - 255
  • [43] Mathematics Majors’ Perceptions of the Admissibility of Graphical Inferences in Proofs
    Bo Zhen
    Keith Weber
    Juan Pablo Mejia-Ramos
    International Journal of Research in Undergraduate Mathematics Education, 2016, 2 (1) : 1 - 29
  • [44] Reverse Mathematics and Uniformity in Proofs without Excluded Middle
    Hirst, Jeffry L.
    Mummert, Carl
    NOTRE DAME JOURNAL OF FORMAL LOGIC, 2011, 52 (02) : 149 - 162
  • [45] Visual Algebraic Proofs for Unknot Detection
    Fish, Andrew
    Lisitsa, Alexei
    Vernitski, Alexei
    DIAGRAMMATIC REPRESENTATION AND INFERENCE, DIAGRAMS 2018, 2018, 10871 : 89 - 104
  • [46] Visual representation of proofs in graph theory
    Sevcikova, Andrea
    Milkova, Eva
    INTERNATIONAL JOURNAL OF EDUCATION AND INFORMATION TECHNOLOGIES, 2018, 12 : 99 - 104
  • [47] Persian Architecture and Mathematics
    Kim Williams
    Nexus Network Journal, 2012, 14 : 195 - 196
  • [48] Architecture, Mathematics and Archaeoastronomy
    Magli, Giulio
    NEXUS NETWORK JOURNAL, 2013, 15 (03) : 385 - 386
  • [49] Military Architecture and Mathematics
    Bevilacqua, Marco Giorgio
    NEXUS NETWORK JOURNAL, 2014, 16 (03) : 517 - 521
  • [50] Cultures of mathematics in architecture
    不详
    ARQ-ARCHITECTURAL RESEARCH QUARTERLY, 2021, 25 (03) : 203 - 203