DESCRIPTION:
This art work is three-dimensional art that
uses only two types of parts. It is composed of two rhombic hexahedrons (acute,
obtuse) with the golden ratio. The assembled model perfectly represents the
quasicrystal* structure, the three-dimensional Penrose model.
* "Quasicrystal" is described in
Additional INFORMATION
Self-similarity can be partially observed
in this structure. However, since the period of this structure is an irrational
number, there is no repetition pattern. In other words, it is not possible to
make a copyable unit cell.
In order to express the contrast with this
art work structure, at the exhibition at the Tokyo Metropolitan Art Museum, I
used a rectangular frame with self-similar shapes and repeating patterns as a
pillar.
CONCEPT:
The structure of this art work is based on
the structure of a substance called "quasicrystal". I majored in solid state physics at graduate school and was doing
research on "quasicrystals". The idea of this art work goes back to
here 30 years ago.
Self-similarity is partially observed in
"quasicrystals". However, since the period of the crystal lattice is
an irrational number, there is no repeating pattern. This structure grows
disciplinedly, and even when it reaches the moon, this structure cannot meet
its own alter ego.
I think that the task of assembling the
parts of this art work is to meet one's alter ego beyond infinity. It resembles
an endless journey facing discipline and indiscipline, stability and
instability, continuity and discontinuity, liberty and control.
I chose this structure to represent the
middle of the journey.
Additional
INFORMATION:
Brief description of
"quasicrystals"
Quasicrystals changed the definition of
crystals in 1991. This crystal actually exists.
Shechtman et al. announced the results of
the study as a "quasicrystal" in 1984 and received the Nobel Prize in
Chemistry in 2011.
The period of the crystal lattice is an
irrational number. In other words, We can imagine a crystal with an infinite
size unit cell.
It has a structure described by three-dimensional
Penrose tiling, and has mathematical phenomena such as golden ratio, five-fold
symmetry, Fibonacci sequence, and self-similarity.
Since before 1984, it is well known that these mathematical phenomena are
found in nature such as plants, organisms, and viruses.
https://miyoshiyuki.com/self-similarity/
https://miyoshiyuki.com/self-similarity-movie-cg/
