Catalina Vallejos

SOMA 1315

HOMOTOPY

Homotopy is the continuous deformation of one shape into another, which in terms of a loop this means that each iteration of image may sculpt in a video loop a seemingly eternal image, or an image that moves in slow-motion.

K.A. Hardie’s paper “On Composite Loop Functors” defines a homotopy equivalence where mapping the displacement of a point to become another point can be defined by the fibre of its equivalence. To support this argument it is shown that using a folding map can identify the homotopy.

I plan to select and map a shot image that performs a continuous, cyclical motion, then edit the footage to propose a seamless continuous loop by use of stop-motion technique.  I will then polish the video to obtain a flawless continuous digital loop. Also, I will create a GIF animation of this product to further express an equivalent and null homotopy simultaneously.

Hardie, K. A. "On Composite Loop Functors." Proceedings of the American Mathe 37.2 (1973): 586-88. JSTOR. American Mathematical Society. Web. <http://www.jstor.org/pss/2039490>.