|
gptkbp:instance_of
|
gptkb:Set
gptkb:Fraggle
|
|
gptkbp:analyzes
|
various colors
iterating function
|
|
gptkbp:artistic_exploration
|
gptkb:digital_art
|
|
gptkbp:borders
|
fractal dimension
infinitely complex structure
|
|
gptkbp:characterized_by
|
self-similarity
|
|
gptkbp:conducts_research_on
|
complex systems
|
|
gptkbp:contains
|
points in the complex plane
|
|
gptkbp:depicts
|
complex plane
|
|
gptkbp:discovered_by
|
gptkb:Benoit_Mandelbrot
|
|
gptkbp:educational_use
|
mathematics courses
|
|
gptkbp:famous_for
|
mathematicians and artists
|
|
gptkbp:first_introduced
|
gptkb:1979
|
|
gptkbp:has_applications_in
|
chaos theory
|
|
gptkbp:has_color
|
escape-time algorithm
|
|
gptkbp:has_fractal_dimension
|
2
|
|
gptkbp:has_imaginary_part
|
y-axis
|
|
gptkbp:has_infinite_detail
|
gptkb:true
|
|
gptkbp:has_points_where
|
|z| < 2
|
|
gptkbp:has_produced
|
iterating z = z^2 + c
|
|
gptkbp:has_real_part
|
x-axis
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Mandelbrot set
|
|
gptkbp:illustrated_by
|
gptkb:documentaries
mathematical literature
computer-generated images
|
|
gptkbp:is_a
|
gptkb:Set
|
|
gptkbp:is_analyzed_in
|
mathematical analysis
fractals
its mathematical significance
|
|
gptkbp:is_asequel_to
|
gptkb:scientific_research
|
|
gptkbp:is_associated_with
|
nonlinear dynamics
|
|
gptkbp:is_atype_of
|
gptkb:item
|
|
gptkbp:is_connected_to
|
gptkb:true
complex analysis
|
|
gptkbp:is_considered
|
the study of infinity
|
|
gptkbp:is_considered_as
|
mathematical curiosity
a benchmark in fractal geometry
|
|
gptkbp:is_defined_by
|
complex plane
complex quadratic polynomial
iterative function
|
|
gptkbp:is_displayed_in
|
gptkb:museums
|
|
gptkbp:is_explored_in
|
gptkb:Mathematician
gptkb:Mathematics
computer simulations
numerical simulations
theoretical mathematics
dynamical systems
|
|
gptkbp:is_famous_for
|
its intricate boundary
|
|
gptkbp:is_generated_using
|
computer algorithms
|
|
gptkbp:is_known_for
|
gptkb:its_beauty
self-similar patterns
complexity and beauty
|
|
gptkbp:is_part_of
|
fractal geometry
|
|
gptkbp:is_popular_in
|
gptkb:art
|
|
gptkbp:is_related_to
|
complex dynamics
|
|
gptkbp:is_represented_in
|
Mandelbrot diagram
|
|
gptkbp:is_self_similar
|
at different scales
|
|
gptkbp:is_studied_for
|
topological properties
its properties
|
|
gptkbp:is_studied_in
|
gptkb:computer_science
other fractals
|
|
gptkbp:is_symmetric_about
|
the real axis
|
|
gptkbp:is_used_in
|
algorithm development
visualization techniques
|
|
gptkbp:is_visualized_using
|
color mapping
|
|
gptkbp:named_after
|
gptkb:Benoit_Mandelbrot
|
|
gptkbp:related_to
|
gptkb:Julia_set
fractal geometry
|
|
gptkbp:used_in
|
gptkb:Graphics_Processing_Unit
|
|
gptkbp:visualized_by
|
gptkb:Graphics_Processing_Unit
|
|
gptkbp:was_a_demonstration_of
|
chaotic behavior
|
|
gptkbp:was_akey_figure_in
|
fractals
|
|
gptkbp:bfsParent
|
gptkb:Benoit_B._Mandelbrot
|
|
gptkbp:bfsLayer
|
5
|