Why is "Lacunarity" trending?
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- Date: 2026-03-19 01:38:58
This topic has appeared in the trending rankings 1 time(s) in the past year. While it does not trend frequently, its appearance suggests a renewed or concentrated surge of public interest.
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Wikipedia Overview
Lacunarity, from the Latin lacuna, meaning "gap" or "lake", is a specialized term in geometry referring to a measure of how patterns, especially fractals, fill space, where patterns having more or larger gaps generally have higher lacunarity. Beyond being an intuitive measure of gappiness, lacunarity can quantify additional features of patterns such as "rotational invariance" and more generally, heterogeneity. This is illustrated in Figure 1 showing three fractal patterns. When rotated 90°, the first two fairly homogeneous patterns do not appear to change, but the third more heterogeneous figure does change and has correspondingly higher lacunarity. The earliest reference to the term in geometry is usually attributed to Benoit Mandelbrot, who, in 1983 or perhaps as early as 1977, introduced it as, in essence, an adjunct to fractal analysis. Lacunarity analysis is now used to characterize patterns in a wide variety of fields and has application in multifractal analysis in particular.
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Trending Topic Today
Search Interest Perspective
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Could a child have painted that? Jackson Pollock's famous pour-painting has child-like characteristics, study shows - EurekAlert!
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The Math Shows Jackson Pollock Painted Like a Child Would - Nautilus | Science Connected
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Jackson Pollock Paintings May Seem Child-Like, But Science Shows Kids Incapable Of His Style - StudyFinds
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Fractal, Multifractal, and Lacunarity Analysis of Microglia in Tissue Engineering - Frontiers
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Shape matters: morphological metrics of glioblastoma imaging abnormalities as biomarkers of prognosis - Nature
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Regional Patterns in Retinal Microvascular Network Geometry in Health and Disease - Nature
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Children’s paintings contain patterns adults can rarely produce - Earth.com
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Fractal dimension, lacunarity, and Shannon entropy of self-assembled macroscopic copper dendrites - Frontiers
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Increasing Space Between Solar Panel Rows Can Improve Plant Performance - Green Building Africa
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Relationship between necrotic patterns in glioblastoma and patient survival: fractal dimension and lacunarity analyses using magnetic resonance imaging - Nature
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Quantitating the subtleties of microglial morphology with fractal analysis - Frontiers
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Fractal analysis of extracellular matrix for observer-independent quantification of intestinal fibrosis in Crohn’s disease - Nature
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Unique fractal evaluation and therapeutic implications of mitochondrial morphology in malignant mesothelioma - Nature
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Definition of fractal topography to essential understanding of scale-invariance - Nature
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The perceived beauty of art is not strongly calibrated to the statistical regularities of real-world scenes - Nature
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Dynamics of Forest Fragmentation and Connectivity Using Particle and Fractal Analysis - Nature
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Observation of treated iris neovascularization by swept-source-based en-face anterior-segment optical coherence tomography angiography - Nature
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Combined quantitative and qualitative optical coherence tomography angiography biomarkers for predicting active neovascular age-related macular degeneration - Nature
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Qualitative and quantitative comparisons of type 1 macular neovascularizations between pachychoroid neovasculopathy and neovascular age-related macular degeneration using optical coherence tomography angiography - Nature
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Antibacterial and nonlinear dynamical analysis of flower and hexagon-shaped ZnO microstructures - Nature
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Deep Analysis of Mitochondria and Cell Health Using Machine Learning - Nature
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Vasculogenic dynamics in 3D engineered tissue constructs - Nature
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Blender 4.0 comes with revamped BSDF tool and a wealth of new features - BetaNews
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‘A child could have done that’: Literally in the case of Jackson Pollock's paintings, study finds - MSN
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