Jean Constant

Jean Constant

Researcher, science and visual communication

About

31
Publications
19,852
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8
Citations
Introduction

Publications

Publications (31)
Chapter
The COVID-19 pandemic is affecting communities worldwide today in many novel ways. The rapidity at which the disease is transmitted and the amount of information available in real-time creates a unique situation. This research, based on qualitative remediation at the community level, provides a fertile ground from which significant patterns are eme...
Preprint
Full-text available
Stochastic processes involving random variables are associated with the concepts of uncertainty or chance. Significant research areas in mathematical and applied sciences are devoted to their study. Similarly, in scientific illustration and art, randomness is the subject of extended research, borne out of necessity, curiosity, or determination to a...
Conference Paper
Full-text available
Interconnectivity of Mathematics, Applied Sciences and Art
Chapter
The aim of this chapter is to explore a classic stochastic problem using the tools of the graphics environment. Stochastic processes are associated with the concepts of uncertainty or chance. Major areas of research in mathematical and applied sciences, statistics, finance, and artificial intelligence/machine learning benefit from the knowledge gai...
Chapter
The COVID-19 pandemic is affecting communities worldwide today in many novel ways. The rapidity at which the disease is transmitted and the amount of information available in real-time creates a unique situation. This research, based on qualitative remediation at the community level, provides a fertile ground from which significant patterns are eme...
Preprint
Full-text available
The COVID 19 pandemic still affecting communities worldwide today is novel in many ways. The rapidity at which the disease is transmitted and the amount of information available in real-time creates a unique situation. Public and private relief efforts or traditional responses to events of that magnitude have to be reevaluated. Direct contacts are...
Article
Full-text available
Pattern recognition is a useful tool for mathematics, mathematical visualization, and art. After a brief description of Bongard’s methodology in the field of pattern recognition, the author introduces the concept of colour modularity and evaluates how it affects pattern recognition classification. Combining Bongard's methodology and colour modulari...
Article
Pattern recognition is a useful tool for mathematics, mathematical visualization, and art. After a brief description of Bongard methodology in the field of pattern recognition, the author combines consequential elements of this technique and principles of color modularity to transform a five- to a ten-pointed star polygon, and in doing so attains a...
Article
3D graphics visualization is equal part mathematics, geometry, and design. Based on the knowledge visualization framework, the author investigates the structure of a mineral to find if meaningful visualization pertaining to the field of art can be extracted from scientific resource. Working with the lines, spheres, and polygons that characterize cr...
Chapter
Scientific modeling applied to the study of a mineral structure at the unit level provides a fertile ground from which to extract significant representations. 3D graphics visualization is equal part mathematics, geometry, and design. The geometric structure of 52 minerals was investigated in a specific modeling program to find if meaningful visuali...
Article
Full-text available
Ostwald and Dawes’ book titled - Mathematics of the Modernist Villa - uses blueprints of 35 significant Modernists structures to demonstrate that Mathematics provides a positive, objective, and quantifiable answer to a question relating to the architect’s methodology and intent. In addition, it opens the path to further meaningful collaboration bet...
Article
With the advancement of computer and image-based technologies, imaging has come to be a pervasive medium by way of which we access, interpret and communicate information. Applying Knowledge Visualization framework principles to the study of a mineral at the unit cell level provides a fertile ground from which to extract significant representations....
Article
Full-text available
Springer recently published an extensive book on Islamic Geometric patterns by Jay Bonner that stand probably as a most comprehensive volume on tessellation published in recent years. This richly illustrated book, 105 photographs, and over 540 illustrations reviews the principles and techniques associated with this art form from a historical and t...
Article
3D graphics visualization is equal part mathematics, geometry, and design. Working with the lines, spheres and surfaces that define crystal at the nanoscale provided the author with an exceptional environment from which to extract coherent visualizations sustainable in the art environment. The results were tested on various interactive platforms an...
Article
Full-text available
A most unusual collaboration across the ocean between two individual dedicated to mathematics revived an almost forgotten cultural tradition, brought another testimony to the universality of mathematics and could help bring in the modern educational environment additional visibility and interest for the study of geometry in the classroom.
Chapter
The 4 color theorem stands at the intersection of Mathematics and Art. The reasoning used to solve the theorem lead to many practical applications in mathematics, graph theory, and computer science. One aspect of the 4 color theorem seldom covered and relevant to the field of visual communication is the actual effectiveness of the distinct 4 colors...
Working Paper
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Working Paper
Full-text available
Chapter
The fourth dimension is a complex concept that deals with abstract reasoning, our sense of perception, and our imagination. Mathematics posits that a four-dimensional space is a geometric space with four dimensions. For many the fourth dimension is the element of time added to the three parameters of length, height and depth. How does a geometer in...
Conference Paper
Full-text available
It puzzles many that cubic surfaces, discovered and classified more than a hundred years ago, are still very present in mathematical studies today. This presentation briefly reviews the theory and principle of these particular surfaces and submits that recent developments in computer-aided technology may be consequential in the renewed interest of...
Article
Full-text available
The objective of this chapter is to help solve a classic stochastic problem using tools of the graphic environment. Stochastic processes are associated with the concepts of uncertainty or chance. They are a major focus of studies in various scientific disciplines such as mathematics, statistics, finance, artificial intelligence/machine learning, an...
Chapter
Full-text available
The mathematical concept of symmetry, invariance and equivalent relation allows physical sciences to define precisely the reality of matter. The crystallographic point groups system is used to classify crystals in terms of Euclidian geometry. Art itself is often defined in terms of beauty, balance, and harmony. Following a short overview of the sym...
Article
Full-text available
Article
Full-text available
Principles and practices of visualization have always been valuable tools in all fields of research. The formation of representations plays a key role in all as-pect of science. Prior research in the area of visualization demonstrates that rep-resentation of data hold great potential for enhancing comprehension of abstract concepts and greatly bene...
Chapter
Full-text available
This chapter describes the digitalization process of 19th century scientific representations from the Japanese culture - a set of mathematical problems etched on wooden boards. The object of the demonstration is to apply computing techniques to the creation of artistic statements based on geometrical problems, highlight the dynamics of interaction...
Conference Paper
Full-text available
The purpose of this presentation is to investigate visualization processes in mathematics and art. It focuses on a geometry problem extracted from a 18th century Japanese Sangaku woodcarving and combines information of a scientific nature with digital visualization techniques to create an esthetically appealing statement. This short presentation is...
Conference Paper
Full-text available
Detailed catalogue of mathematical objects.
Article
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Article
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Questions

Questions (4)
Question
Artists, designers, and scientists build their color scheme from the basic 3 primaries because it covers the entire color spectrum.
I understand the topological challenge in the 4 color theorem - I am intrigued how and why green was chosen over magenta or orange for example - if we have to make a choice of complementary color. Was it random? arbitrary? Is there any literature on this subject?
Question
How do you introduce an element of time in a 2D visualization?

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Projects

Projects (3)
Project
a multimedia 27 minutes presentation on symmetry in four- dimensional geometry for a series of lectures next month and to be deployed on multimedia websites. -introduction -background -art history from flat representation to three dimension -moving images and the illusion of space -geometry of the fourth dimension -representation of an octaplex in a two-dimensional context -conclusion & future research