Supervisors info:
Λεώνη Ευαγγελάτου – Δάλλα (επιβλέπουσα) Αναπλ. Καθηγήτρια ΕΚΠΑ, Σοφία Αναγνωστοπούλου Αναπλ. Καθηγήτρια ΕΚΠΑ, Βασιλική – Λίσσυ Κανελλοπούλου Αναπλ. Καθηγήτρια ΕΚΠΑ
Summary:
The study consists of two parts. First part contains the basic concepts of
Fractal Geometry. Originally describes the fundamental concepts of topology of
metric spaces, namely the specific points (contacts, accumulation, etc.),
special sets (closed, open, bounded, etc.) and basic properties (compactness,
completeness, etc.) of these. Then is described the metric space in which lie
the fractals and manufactured with Iterated FunctionSystem (IFS) some known
fractal sets (Cantor set, Sierpinski triangle, Menger’s sponge, von Koch curve,
etc.) and two fractal sets which have been named Spiral 1 and Spiral 2 because
of their form. The first part is completed by defining the fractal dimension
(Box, similarity, Hausdorff - Besicovitch) and describing its calculation. In
the second part, is attempted a fractal representation and approximation of the
unconscious. After analyzing the symptoms and its manifestations (linguistic
slips, false moves, random acts, dream) is attempted a fractal representation
of the Ego, and his approach by studying the symptoms as expressions of the
unconscious. Finally, there is an attempt to study the unconscious of Dora, the
famous hysterical patient of Freud, through fractal representation and analysis
of her dreams.
Keywords:
Fractal, Geometry, Dimension, Unconscious, Psychanalysis
