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Why numbers are important to beauty
 Nature
 Human Appearance
 Art- architectural,
visual and audio
How does math apply to natural aesthetics?
Algorithms have the power to mimic
nature’s beauty.
Gravner, J., & Griffeath, D. (2012).
McNally, J. (2010) Fung, E. (2014)
Left: Fractal pattern artwork
Below: Fractals in nature (Cauliflower,
Lightning and Rivers)
Knott, D. (1996)
Aesthetics + math = you...?
"Beauty depends on size as well as symmetry."
-Aristotle (384 B.C.-322 B.C.), Poetics
Bilateral symmetry of the face and body makes humans more
‘appealing’
Feng, C. (2002)
Schwind, V. (2011)
Bourne, M. (2014)
Math makes things pretty.
Nastasi, A. (2012)
Mobius Strip
“Without mathematics there is no art,”
-Luca Pacioli, a contemporary of Da Vinci.
Meisner, G. (2014)
the C scale on the piano consists of 13 keys from C
to C; eight white keys and five black keys...
Mathcentral.uregina.ca, (2014)
Fiore, T. (2013)
https://vimeo.com/77330591
Watch:
 Beauty of Mathematics. (2014). Paris.
 Bourne, M. (2014). The Math Behind the Beauty. Intmath.com. Retrieved 25
February 2015, from http://www.intmath.com/numbers/math-of-beauty.php
 Feng, C. (2002). Looking Good: The Psychology and Biology of Beauty.
Legacy.jyi.org. Retrieved 25 February 2015, from
http://legacy.jyi.org/volumes/volume6/issue6/features/feng.html
 Fung, E. (2014). Koch's Snowflake. Math.ubc.ca. Retrieved 25 February 2015, from
http://www.math.ubc.ca/~cass/courses/m308/projects/fung/page.html
 Fiore, T. (2013). Music and Mathematics (pp. 3-6). Michigan: University of
Michigan.
 Gravner, J., & Griffeath, D. (2012). Modeling Snow Crystal Growth: A Three-
Dimensional Mesoscopic Approach (pp. 1-3). California: University of California.
 Knott, D. (1996). Fibonacci Numbers, the Golden section and the Golden String.
Maths.surrey.ac.uk. Retrieved 25 February 2015, from
http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fib.html
 Mathcentral.uregina.ca,. (2014). Music, Math, and Patterns - Math Central. Retrieved 25
February 2015, from http://mathcentral.uregina.ca/beyond/articles/Music/music1.html
 Meisner, G. (2014). Golden Ratio in Art Composition and Design. Phi 1.618: The Golden
Number. Retrieved 25 February 2015, from http://www.goldennumber.net/art-
composition-design/
 Mathsisfun.com,. (2014). Nature, The Golden Ratio and Fibonacci Numbers. Retrieved
25 February 2015, from http://www.mathsisfun.com/numbers/nature-golden-ratio-
fibonacci.html
 McNally, J. (2010). Earth's Most Stunning Natural Fractal Patterns | WIRED. WIRED.
Retrieved 25 February 2015, from http://www.wired.com/2010/09/fractal-patterns-in-
nature/
 Nastasi, A. (2012). 10 Amazing Examples of Architecture Inspired by Mathematics.
Flavorwire. Retrieved 25 February 2015, from http://flavorwire.com/330293/10-amazing-
examples-of-architecture-inspired-by-mathematics/1
 Schwind, V. (2011). The Golden Ratio in 3D Face Modelling. Scribd.com. Retrieved 25
February 2015, from http://www.scribd.com/doc/195839732/The-Golden-Ratio-in-3D-
Face-Modelling#scribd

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Mathematics in Aesthetics

  • 1. Why numbers are important to beauty
  • 2.  Nature  Human Appearance  Art- architectural, visual and audio
  • 3. How does math apply to natural aesthetics?
  • 4. Algorithms have the power to mimic nature’s beauty. Gravner, J., & Griffeath, D. (2012).
  • 5.
  • 6. McNally, J. (2010) Fung, E. (2014) Left: Fractal pattern artwork Below: Fractals in nature (Cauliflower, Lightning and Rivers)
  • 8. Aesthetics + math = you...?
  • 9. "Beauty depends on size as well as symmetry." -Aristotle (384 B.C.-322 B.C.), Poetics Bilateral symmetry of the face and body makes humans more ‘appealing’ Feng, C. (2002)
  • 11. Math makes things pretty.
  • 13. “Without mathematics there is no art,” -Luca Pacioli, a contemporary of Da Vinci. Meisner, G. (2014)
  • 14. the C scale on the piano consists of 13 keys from C to C; eight white keys and five black keys... Mathcentral.uregina.ca, (2014) Fiore, T. (2013)
  • 16.  Beauty of Mathematics. (2014). Paris.  Bourne, M. (2014). The Math Behind the Beauty. Intmath.com. Retrieved 25 February 2015, from http://www.intmath.com/numbers/math-of-beauty.php  Feng, C. (2002). Looking Good: The Psychology and Biology of Beauty. Legacy.jyi.org. Retrieved 25 February 2015, from http://legacy.jyi.org/volumes/volume6/issue6/features/feng.html  Fung, E. (2014). Koch's Snowflake. Math.ubc.ca. Retrieved 25 February 2015, from http://www.math.ubc.ca/~cass/courses/m308/projects/fung/page.html  Fiore, T. (2013). Music and Mathematics (pp. 3-6). Michigan: University of Michigan.  Gravner, J., & Griffeath, D. (2012). Modeling Snow Crystal Growth: A Three- Dimensional Mesoscopic Approach (pp. 1-3). California: University of California.  Knott, D. (1996). Fibonacci Numbers, the Golden section and the Golden String. Maths.surrey.ac.uk. Retrieved 25 February 2015, from http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fib.html
  • 17.  Mathcentral.uregina.ca,. (2014). Music, Math, and Patterns - Math Central. Retrieved 25 February 2015, from http://mathcentral.uregina.ca/beyond/articles/Music/music1.html  Meisner, G. (2014). Golden Ratio in Art Composition and Design. Phi 1.618: The Golden Number. Retrieved 25 February 2015, from http://www.goldennumber.net/art- composition-design/  Mathsisfun.com,. (2014). Nature, The Golden Ratio and Fibonacci Numbers. Retrieved 25 February 2015, from http://www.mathsisfun.com/numbers/nature-golden-ratio- fibonacci.html  McNally, J. (2010). Earth's Most Stunning Natural Fractal Patterns | WIRED. WIRED. Retrieved 25 February 2015, from http://www.wired.com/2010/09/fractal-patterns-in- nature/  Nastasi, A. (2012). 10 Amazing Examples of Architecture Inspired by Mathematics. Flavorwire. Retrieved 25 February 2015, from http://flavorwire.com/330293/10-amazing- examples-of-architecture-inspired-by-mathematics/1  Schwind, V. (2011). The Golden Ratio in 3D Face Modelling. Scribd.com. Retrieved 25 February 2015, from http://www.scribd.com/doc/195839732/The-Golden-Ratio-in-3D- Face-Modelling#scribd