## Math<-> Art <-> Math

• Art and math are twins. They influence each other.

• #### ART ... MATH and vice versa MATH ... ART. Teachers and students try to explain why!

##### Art illuminates math?

Fractals are an example. The duality vision of Escher. When we think of the beauty in the Universe we see a form of undisclosed ART revealed to the eyes of Scientists and Artists. Tasselation has illuminated Mathematicians ingroup theory (Norma Lisa)

##### Art covers math?

YES, sometimes! Artwork can be so brilliant, that different math applications are hidden.( Math teacher from Germany)
In our project one example: Bezier Art

##### Math generates art?

Math generates art?
YES! The construction of circle gradiation has been the basis for gothic art (windows of churches).
In our project: spiral art had not been possible without math knowledge. (Monika, GER)

##### Math inspires art?

YES! There are artist and lovers of math at the same time. Examples are Piet Mondrian or Cornelius Escher.
In our project: the artist Jost has created artwork full of maths and formula. Our students used his artworks to pick out some meaningful math content.(Monika)

##### Math inspires Art? Yes!

Polish Nobel Laureate Wisława Szymborska

Pi
three point one four one.
All the following digits are also initial,
five nine two because it never ends.
It can't be comprehended six five three five at a glance,
eight nine by calculation,
seven nine or imagination,
not even three two three eight by wit, that is, by comparison
four six to anything else
two six four three in the world.
The longest snake on earth calls it quits at about forty feet.
Likewise, snakes of myth and legend, though they may hold out a bit longer.
The pageant of digits comprising the number pi
doesn't stop at the page's edge.
It goes on across the table, through the air,
over a wall, a leaf, a bird's nest, clouds, straight into the sky,
through all the bottomless, bloated heavens.
... more: http://www.babelmatrix.org/works/pl/Szymborska%2C_Wis%C5%82awa-1923/Liczba_pi/en/5498-Pi

/Renata - teacher from Poland/

##### Math inspires Art?

Inspirational fractal images.. (Pythagoras tree)

Dominik - student POL

##### Art generated math?

So - so! It depends. If the artist uses e.g. geometrical objects math is automatically generated - often more than the artist has intended, e.g. concerning paintings of Delauny there are points of interesection of circles, areas of parts of circles, …
In our project: circles and polygons. Creating a nice, colorful pattern was the main Intention, but a lot of different geometry objects and concepts e.g. symmetry came about during the process of creation.

##### Art illuminates Math

Definitely, Art highlights and explains difficulties of Math. "See means believe" Anita - a teacher from Poland.

##### Art can incorporate Math

Especially in the field of naturalistic drawing and painting, an understanding for mathematical logic is mandatory. Then, one will succeed in constructing perspective and imitating volume.
Also, fields such as sculpturing, installation or performative art are open to interdisciplinary links and connections to math and natural sciences. For example, the sculpturor needs to be aware of volume , gravity and stability so that her/his idea for a piece of art can materialise.
Maja Springer, Art Teacher, PGU Unna

##### Art merges math?

YES, it can.
In a lot of graphical artwork a lot of math concepts are applied , mostly from different math topics. In our project the swiss artist uses algebraic topics (e.g. sequenves, number theory, equations, ...) as well as geometry e.g. Pythagoream theorem.
In art work using colours, different styles of lines, ... the different concepts mege and sometimes are not seen als mathematics.
Monika, PGU

##### Art inspires math?

Sometimes, think of the Pythagoran theorem with other areas than squares on the three sides. In our project we started with a graphical art work and we had a long, long discussion which ended at the end with a hard mathematical proof. (German art teacher)

##### Math is cool, art is cool - sometimes

answer from Niklas, trainee teacher of art