Waves are particularly fascinating to me among those topics. A wave refers to the vibration originating from a part of space or matter, spreading outwards into the surroundings over time. This encompasses natural phenomena ranging from the waves of the ocean, sound, and light to the particles composing matter. In quantum mechanics and modern physics, there has long been an attempt to describe and explain observed phenomena either as particles or waves. Quantum physicist Kwon Park has stated, 'Everything is a wave. Strictly speaking, everything is both a wave and a particle.' Thus, the concept of waves is emphasized as crucial.
French mathematical physicist Jean-Baptiste Joseph Fourier (1768~1830) argued that no matter how complex a wave may be, if it exhibits periodicity, it can be represented as a collection of various curves. Additionally, pioneering abstract artist Wassily Kandinsky, recognized as a major figure in early abstract art, viewed "lines forming waves" as coinciding with the forms of all curves, perceiving them as an assembly of diverse curves. Both a mathematical physicist and an artist presented the same interpretation. However, this might not be so surprising. Mathematics and art have long interacted in various forms, showing that not only visually distinct elements such as form, space, and sculpture but also motion and changes in form can be created using mathematical principles. This fact served as a source of inspiration for me, leading me to interpret abstract mathematical concepts artistically and strive to visualize them.
From a mathematical perspective, I aim to materialize waves through soil. Waves only become distinctly apparent through equations and coordinates, and a visualized wave is defined as a waveform, allowing intuitive assessment of amplitude and frequency as depicted by lines. This choice is rooted in the geometry of circles and the resulting sinusoidal curves, thus selecting a cylindrical form as the base. By applying a combination method involving transformation, intersection, combination, and deletion, while substituting into the concepts of the X, Y, Z axes after unit form transformation, I construct a multi-layered structure revealing the interior. Consequently, dividing my inner and outer spaces, delineating each intersection of lines and planes, I depict dynamic waveforms, representing the periodic repetition, the most crucial property of waves. I hope to find a connection between nature and mathematics in the process of structures built up with soil undergoing physical and chemical changes, aiming to blend the logic of mathematics with the sensibilities of art in reality, and to derive new meanings.