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- Space-filling_tree abstract "Space-filling trees are geometric constructions that are analogous to space-filling curves, but have a branching, tree-like structure and are rooted. A space-filling tree is defined by an incremental process that results in a tree for which every point in the space has a finite-length path that converges to it. In contrast to space-filling curves, individual paths in the tree are short, allowing any part of the space to be quickly reached from the root. The simplest examples of space-filling trees have a regular, self-similar, fractal structure, but can be generalized to non-regular and even randomized/Monte-Carlo variants (see Rapidly exploring random tree). Space-filling trees have interesting parallels in nature, including fluid distribution systems, vascular networks, and fractal plant growth, and many interesting connections to L-systems in computer science.".
- Space-filling_tree wikiPageID "26173821".
- Space-filling_tree wikiPageLength "6001".
- Space-filling_tree wikiPageOutDegree "27".
- Space-filling_tree wikiPageRevisionID "661482612".
- Space-filling_tree wikiPageWikiLink Binary_space_partitioning.
- Space-filling_tree wikiPageWikiLink Camille_Jordan.
- Space-filling_tree wikiPageWikiLink Category:Fractals.
- Space-filling_tree wikiPageWikiLink Continuity_(topology).
- Space-filling_tree wikiPageWikiLink Continuous_function.
- Space-filling_tree wikiPageWikiLink Cube.
- Space-filling_tree wikiPageWikiLink Cubes.
- Space-filling_tree wikiPageWikiLink Dense_set.
- Space-filling_tree wikiPageWikiLink Fractal.
- Space-filling_tree wikiPageWikiLink H_tree.
- Space-filling_tree wikiPageWikiLink Hypercube.
- Space-filling_tree wikiPageWikiLink Hypercubes.
- Space-filling_tree wikiPageWikiLink L-system.
- Space-filling_tree wikiPageWikiLink Limit_of_a_sequence.
- Space-filling_tree wikiPageWikiLink Monte_Carlo_method.
- Space-filling_tree wikiPageWikiLink Randomized.
- Space-filling_tree wikiPageWikiLink Randomness.
- Space-filling_tree wikiPageWikiLink Rapidly_exploring_random_tree.
- Space-filling_tree wikiPageWikiLink Space-filling_curve.
- Space-filling_tree wikiPageWikiLink Square.
- Space-filling_tree wikiPageWikiLink Square_(geometry).
- Space-filling_tree wikiPageWikiLink Triangle.
- Space-filling_tree wikiPageWikiLink Vascular_network.
- Space-filling_tree wikiPageWikiLink Wikt:finite.
- Space-filling_tree wikiPageWikiLink fluid_distribution_system.
- Space-filling_tree wikiPageWikiLinkText "Space-filling tree".
- Space-filling_tree wikiPageWikiLinkText "space-filling tree".
- Space-filling_tree hasPhotoCollection Space-filling_tree.
- Space-filling_tree wikiPageUsesTemplate Template:Anchor.
- Space-filling_tree subject Category:Fractals.
- Space-filling_tree hypernym Constructions.
- Space-filling_tree type Article.
- Space-filling_tree type Monument.
- Space-filling_tree type Article.
- Space-filling_tree type Function.
- Space-filling_tree comment "Space-filling trees are geometric constructions that are analogous to space-filling curves, but have a branching, tree-like structure and are rooted. A space-filling tree is defined by an incremental process that results in a tree for which every point in the space has a finite-length path that converges to it. In contrast to space-filling curves, individual paths in the tree are short, allowing any part of the space to be quickly reached from the root.".
- Space-filling_tree label "Space-filling tree".
- Space-filling_tree sameAs m.0b6h03b.
- Space-filling_tree sameAs Q7572177.
- Space-filling_tree sameAs Q7572177.
- Space-filling_tree wasDerivedFrom Space-filling_tree?oldid=661482612.
- Space-filling_tree isPrimaryTopicOf Space-filling_tree.