[{"_1":2,"_78":-5,"_79":-5},"loaderData",{"_3":4},"lang-word",{"_5":6,"_21":22,"_67":68,"_73":74},"entry",{"_7":8,"_9":8,"_10":-5,"_11":12,"_13":14,"_15":16,"_17":18,"_19":20},"headword","fractal","slug","pronunciation","type","adjective","complexity","simple","totalCollocations",1,"avgFrequency",4.5,"languageVariants",[],"categories",[23],{"_24":25,"_9":26,"_27":28},"name","ADJECTIVE + NOUN","adjective-noun","collocations",[29],{"_30":31,"_32":33,"_9":34,"_35":36,"_37":38,"_39":40,"_44":45,"_66":-5},"collocation","geometry","phrase","fractal geometry","fractal-geometry","usage","Relating to the branch of mathematics that studies the properties and behavior of fractals.","label","","frequency",{"_41":18,"_42":43},"score","perMillion",0.8,"examples",[46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65],"Mandelbrot's work laid the foundations of fractal geometry.","Mandelbrot's work popularized fractal geometry among scientists and artists alike.","In fractal geometry, coastlines can have non-integer dimensions.","I'm taking a course in fractal geometry this semester to model coastlines and clouds.","She is writing her thesis on applications of fractal geometry to medicine.","The lecture explained how fractal geometry describes self-similarity across scales.","We used fractal geometry to model the branching of trees.","Engineers have begun applying fractal geometry to antenna design for better signal coverage.","A basic course in fractal geometry introduces self-similarity and scaling.","Could you show me a simple example of fractal geometry in nature?","Engineers increasingly borrow ideas from fractal geometry to design antennas.","Before computer graphics exploded, few people had even heard of fractal geometry.","I had never heard of fractal geometry until that lecture.","By leveraging fractal geometry, the algorithm compresses images more efficiently.","The artist drew inspiration from fractal geometry for the mural's patterns.","Her dissertation will compare Euclidean methods with those of fractal geometry.","Computational tools make exploring fractal geometry more accessible than ever.","Street artists sometimes use fractal geometry to generate mesmerizing patterns on walls.","Could you explain how fractal geometry differs from classical approaches?","If the pattern repeats at every zoom level, it's probably rooted in fractal geometry.","translation","relatedEntries",{"_69":70,"_71":72},"asSubject",[],"asObject",[],"serverTranslations",{"_34":75},{"_32":76,"_35":77},"fraktale Geometrie","Der Zweig der Mathematik, der die Eigenschaften von Fraktalen untersucht.","actionData","errors"]