The archetypes of various religions are expressed mathematically.
Christianity is about the formation of shapes based on the ratios of Pythagorean scales, Islam is about expression based solely on geometry, Buddhism is about refrain structures, and Hinduism is about dancing movements.
Music and video are created using the same numerical calculations
Pythagorean Tuning Mandala
https://youtu.be/z7gT9TrR1o0
The archetypes of various religions are expressed mathematically. The refrain effect, mandala structure, chords based on the numerical ratios of Pythagorean tuning, geometry.
Still image
The movement and rhythm of the lines evoke a sense of music.
The fractal density of the lines represents light.
By linking various mathematical formulas, we have created a fractal with non-uniform movement.
The higher the fractal dimension, the finer the lines become and the further away they appear.
Digital discrete ink painting.
Fractal prints Naoki Hayakawa2025
https://youtu.be/1quqQPDrRFw
Phythagorean mandala 2025
center univerth
left right cloud
top bottom sea
else stars
cosmos by Pythagorean musica mundana
Phythagorean chapel 2025
A festive visual space with stars in the sky, clouds on the horizon, sea on the earth, and music that sways in space as Pythagorean tuning is broken into chaos. The music of the universe and the music of humanity, the chapel and the dance hall, order and chaos, angels and demons, the sacred and the secular, all mix together.
Decorating euphoric space by fractal art and music is my video installation.
Trip to euphoric space by Refrain fractal structure,Refrain rythm,Refrain moving images.
They are made by nature science. In my childhood,"Lilolilolilo" that is my babble as little would trip me to a red polka dots worldhappy in refrain effect. And now "lilolilolilo" turns into a refrain Sine wave as a mean of my expression. An aesthetics that repeatition equals fusing cosmos as one underlies in my program.
Personal Exhibitions
2014 『Fractal symphony』 Miyazaki prefectural art museum
2011 『Pythagorean chapel 2』 Miyazaki prefectural art museum
2010 『Galaxy made from music』 Miyakonojyo art center
2009 『Pythagoras chapel』 ART GALLERY ARTIUM
2005 『Math artL1L0L1L0』 Ono gallery Tokyo
2003 『Math Art』 Ono galleryTokyo
Group Exhibitions etc
2016 selected group exhibition 「The King of illusion M.C.Escher and his Challengers」 Contemporary Art Museam,Kumamoto
2010 Experiment 『Video Works on building』 Miyakonojyo art center
2009 Group exhivition『For Rent FoR Talents!5』ART GALLERY ARTIUM
2008Stage effect 『Miyazaki music week』 Miyazaki Culuture hall
2007Entry 『8th SICF』 Spiral
2005 Stage effect 『art festival Fractas5 』 Miyazaki prefectural art museum
2004Directed 『art festival Fractas4』 Garden Miyazaki prefectural museum of nature and history
2004Entry 『 5th SICF 』 Spiral
2002Entry 『Shirakawagou art festival』 Garden Shirakawagou museum Shirakawa village
Prix
2009Won the grand prix 『For Rent For Talent!5』 ART GALLERY ARTIUM
2012Won the entry 『Jakuchu Ito inspired competition』 Tokyo Designers week
Fractals likes as placed on the surface is expressed by visualization varying time.And, varying data makes fractal music. Bass part is made by Fourier transformation,soprano is by shape of the Sinwave. Mathmatical model makes pitch forming Pythagorean scale but destroyed by chaos. Power of refrain on musical and visual space is my works.
早川 直己 Naoki Hayakawa 
