Irrational images – the visualization of abstract mathematical terms

Jakub Jernajczyk. "Irrational images – the visualization of abstract mathematical terms." Mathematica Applicanda 43.2 (2015): null. <http://eudml.org/doc/292727>.

@article{JakubJernajczyk2015,
abstract = {In this article we would like to draw attention to the cognitive potential hidden in an image and in the art which employs it. We will focus on the visualization of basic mathematical objects i.e. irrational numbers. Our starting point will be the easy and intuitive case of the square root of two, as it is observed in the diagonal of a square. Next we will move over to the golden ratio hidden in a regular pentagon. With the visualization of the irrational number ϕ   we will use a looped, endless animation. Finally, we will have a closer look at the famous number π and we will suggest an attempt at its clearly visual representation. In the last section of the article we will consider the possibility of indicating rational and irrational real numbers represented by dimensionless points on a straight line. We will also try to present a straight line on a flat surface which - as we know has length - but has no width. The above issues will enable us to see the extent to which mathematics may be inspirational for art, as well as how art may familiarize us with mathematical issues and explain them.},
author = {Jakub Jernajczyk},
journal = {Mathematica Applicanda},
keywords = {visualization of scientific issues, incommensurable segments, irrational numbers, visual imagination, art & science},
language = {eng},
number = {2},
pages = {null},
title = {Irrational images – the visualization of abstract mathematical terms},
url = {http://eudml.org/doc/292727},
volume = {43},
year = {2015},
}

TY - JOUR
AU - Jakub Jernajczyk
TI - Irrational images – the visualization of abstract mathematical terms
JO - Mathematica Applicanda
PY - 2015
VL - 43
IS - 2
SP - null
AB - In this article we would like to draw attention to the cognitive potential hidden in an image and in the art which employs it. We will focus on the visualization of basic mathematical objects i.e. irrational numbers. Our starting point will be the easy and intuitive case of the square root of two, as it is observed in the diagonal of a square. Next we will move over to the golden ratio hidden in a regular pentagon. With the visualization of the irrational number ϕ   we will use a looped, endless animation. Finally, we will have a closer look at the famous number π and we will suggest an attempt at its clearly visual representation. In the last section of the article we will consider the possibility of indicating rational and irrational real numbers represented by dimensionless points on a straight line. We will also try to present a straight line on a flat surface which - as we know has length - but has no width. The above issues will enable us to see the extent to which mathematics may be inspirational for art, as well as how art may familiarize us with mathematical issues and explain them.
LA - eng
KW - visualization of scientific issues, incommensurable segments, irrational numbers, visual imagination, art & science
UR - http://eudml.org/doc/292727
ER -