Spatial ``artistic'' networks: from deconstructing integer-functions to visual arts
type: Item
instance of: scholarly article
title: Spatial ``artistic'' networks: from deconstructing integer-functions to visual arts
zbMATH Open document ID: 1390.93007
DOI: 10.1155/2018/9893867
author: Ernesto Estrada
author: Puri Pereira-Ramos
published in: Complexity
publication date: 2018-06-25T00:00:00Z
review text: Summary: Deconstructivism is an aesthetically appealing architectonic style. Here, we identify some general characteristics of this style, such as decomposition of the whole into parts, superposition of layers, and conservation of the memory of the whole. Using these attributes, we propose a method to deconstruct functions based on integers. Using this integer-function deconstruction we generate spatial networks which display a few artistic attributes such as (i) biomorphic shapes, (ii) symmetry, and (iii) beauty. In building these networks, the deconstructed integer-functions are used as the coordinates of the nodes in a unit square, which are then joined according to a given connection radius like in random geometric graphs (RGGs) artistic attributes such as (i) biomorphic shapes, (ii) symmetry, and (iii) beauty. Some graph-theoretic invariants of these networks are calculated and compared with the classical RGGs. We then show how these networks inspire an artist to create artistic compositions using mixed techniques on canvas and on paper. Finally, we call for avoiding that the applicability of (network) sciences should not go in detriment of curiosity-driven, and aesthetic-driven, researches. We claim that the aesthetic of network research, and not only its applicability, would be an attractor for new minds to this field.
Mathematics Subject Classification ID: 93A10
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 05C90
zbMATH DE Number: 6893983
zbMATH Keywords: decompositionof the whole into parts
zbMATH Keywords: superposition of layers
zbMATH Keywords: conservation of the memory of the whole
zbMATH Keywords: deconstruct functions based on integers
zbMATH Keywords: random geometric graphs (RGGs)
zbMATH Keywords: artistic attributes
zbMATH Keywords: biomorphic shapes
zbMATH Keywords: symmetry
zbMATH Keywords: beauty
describes a project that uses: OEIS
describes a project that uses: Muxviz
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/9893867
OpenAlex ID: W2787714026
cites work: Circular knotworks consisting of pattern no. 295: a mathematical approach
cites work: Simple-closed-curve sculptures of knots and links
cites work: Figurative mosaics from flexible Truchet tiles
cites work: Symmetric designs on hexagonal tiles of a hexagonal lattice
cites work: Symmetric yet organic: Fourier series as an artist’s tool
cites work: Topological tori as abstract art
cites work: Q4834167
cites work: Q4330618
cites work: Random Geometric Graphs
cites work: The Structure of Complex Networks
description: scientific article; zbMATH DE number 6893983