|
gptkbp:instance_of
|
gptkb:Fraggle
|
|
gptkbp:analyzes
|
a set of points
|
|
gptkbp:bounded_by
|
the complex plane
|
|
gptkbp:depicts
|
colorful patterns
complex systems
|
|
gptkbp:discovered_by
|
gptkb:Benoit_Mandelbrot
|
|
gptkbp:exhibits
|
self-similarity
|
|
gptkbp:first_introduced
|
gptkb:1979
|
|
gptkbp:has_applications_in
|
chaos theory
|
|
gptkbp:has_fractal_boundary
|
gptkb:true
|
|
gptkbp:has_produced
|
iterating the function f(z) = z^2 + c
|
|
gptkbp:has_property
|
infinite detail
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Mandelbrot Set
|
|
gptkbp:illustrated_by
|
mathematical literature
mathematical textbooks
Mandelbrot images
fractal images
|
|
gptkbp:is_analyzed_in
|
gptkb:Mathematician
gptkb:literature
its fractal nature
its mathematical implications
its boundary properties
|
|
gptkbp:is_associated_with
|
computational complexity
|
|
gptkbp:is_atype_of
|
gptkb:Set
|
|
gptkbp:is_characterized_by
|
iterative function
|
|
gptkbp:is_connected_to
|
gptkb:Data_Visualization
nonlinear dynamics
visual mathematics
|
|
gptkbp:is_considered_as
|
a cultural phenomenon
a mathematical object
a benchmark in fractal studies
a significant discovery in mathematics
|
|
gptkbp:is_defined_by
|
complex numbers
|
|
gptkbp:is_examined_in
|
gptkb:Physics
computer algorithms
|
|
gptkbp:is_explored_in
|
gptkb:art
gptkb:computer_science
gptkb:visual_arts
gptkb:digital_art
computer simulations
numerical methods
mathematical education
theoretical mathematics
computer graphics research
chaos theory studies
artistic studies
|
|
gptkbp:is_featured_in
|
gptkb:documentaries
art exhibitions
mathematical conferences
|
|
gptkbp:is_part_of
|
fractal geometry
|
|
gptkbp:is_popular_in
|
art and design
|
|
gptkbp:is_related_to
|
mathematical modeling
complex dynamics
|
|
gptkbp:is_represented_in
|
Mandelbrot image
|
|
gptkbp:is_studied_for
|
its historical significance
its aesthetic appeal
its properties
its computational properties
|
|
gptkbp:is_studied_in
|
gptkb:Mathematics
|
|
gptkbp:is_used_in
|
educational purposes
visualization techniques
artistic representations
mathematical demonstrations
fractals research
|
|
gptkbp:is_utilized_in
|
gptkb:scientific_research
|
|
gptkbp:is_visualized_using
|
color mapping
|
|
gptkbp:length
|
fractal dimension 2
|
|
gptkbp:named_after
|
gptkb:Benoit_Mandelbrot
|
|
gptkbp:related_to
|
gptkb:Julia_Set
|
|
gptkbp:used_in
|
gptkb:Graphics_Processing_Unit
|
|
gptkbp:was_a_demonstration_of
|
chaotic behavior
|
|
gptkbp:was_akey_figure_in
|
fractals
|
|
gptkbp:bfsParent
|
gptkb:Benoit_Mandelbrot
gptkb:Aliette_K._Mandelbrot
|
|
gptkbp:bfsLayer
|
6
|