2017 Joint Mathematics Meetings
Anne Burns
Artists
Anne Burns
Professor Emerita (Mathematics)
Long Island University
Huntington, New York, USA
Statement
I began my studies as an art major, but switched to mathematics. When I went to my first conference on fractals I was hooked. Visualizing mathematical concepts allowed me to combine both of my interests.
Artworks
![Image for entry 'Streamlines'](/_next/image?url=https%3A%2F%2Fsubmit.bridgesmathart.org%2Frails%2Factive_storage%2Fblobs%2Fproxy%2FeyJfcmFpbHMiOnsiZGF0YSI6NTE3NywicHVyIjoiYmxvYl9pZCJ9fQ%3D%3D--46b4325b762fcde035b4f6c4ffbb591fdd320073%2Fstreamlines2_rotated.jpg&w=1536&q=75)
Streamlines
48 x 32 cm
Digital print
2016
The streamlines of the vector field dx/dt = x^2 - y^2, dy/dt = 2xy (the real and imaginary parts of the complex function f(z) = z^2 ) are the directed paths along which the tangent vector is equal to (dx/dt, dy/dt). They are circles tangent to the real axis. the attached vectors are colored according to their slope.
![Image for entry 'Black Basilica'](/_next/image?url=https%3A%2F%2Fsubmit.bridgesmathart.org%2Frails%2Factive_storage%2Fblobs%2Fproxy%2FeyJfcmFpbHMiOnsiZGF0YSI6NTE3OCwicHVyIjoiYmxvYl9pZCJ9fQ%3D%3D--bde583b62bd53fee7a3a0e3a03f07f56b2012e14%2Fbasilica.jpg&w=1536&q=75)
Black Basilica
32 x 48 cm
Digital print
2016
I will never tire of the endless variations on Mandelbrot's "Basilica". Here we have added a term c/ z^2(z -1)^2 to the function f(z) = z^2-1 and rendered the Julia Set.