Bernat Espigule
Bernat lives in Catalonia and works both as a tech consultant and a
mathematical researcher. This involves spreading his love of maths via
research articles, animations, 3D-printed sculptures, workshops, and
school visits. Currently, Bernat is interested in exploiting the
notion of complex tree to tackle unsolved problems in the field of
algebraic geometry, complex dynamics, and the analysis on fractals.
Organic mathematical ornament with five-fold rotational symmetry.
The laser cut regular star pentagons illustrate the inner
structure of one of the earliest complex binary trees discovered
and studied by the author back in 2011. The tree's branching
process consists of a branch shrunk by the golden ratio rotated 36
degrees, and a second branch identical to its ancestor but rotated
72 degrees in the opposite direction. The intersection of this
fractal with the boundary of its decagonal convex hull generates
ten copies of a special type of Cantor set studied by Roger L.
Kraft, see “A Golden Cantor Set.” The American Mathematical
Monthly, vol. 105, no. 8, Mathematical Association of America,
1998, pp. 718–25, https://doi.org/10.2307/258898