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A fractal is a pattern that keeps the same kind of shape when you look closer and closer. You repeat a shape, then make smaller copies, then smaller copies of those, again and again. A , a , or a ragged coastline is often called fractal because a little piece looks like the whole.
A fractal Fractal(碎形) is a pattern是一種圖案 that keeps the same kind of shape保持同樣形狀的 when you look closer and closer當你越看越近的時候。 You repeat a shape你重複一個形狀, then make smaller copies接著做出更小的複本, then smaller copies of those然後再做出那些複本更小的複本, again and again一直重複下去。 A fern, a snowflake, or a ragged coastline蕨類、雪花,或參差不齊的海岸線, is often called fractal常被稱為fractal, because a little piece looks like the whole因為一小部分看起來就跟整體一樣。
Computers are very good at drawing them, so many people first meet fractals as bright swirling pictures on a screen — though actually the idea is mathematical, not just computer art. The name comes from a Latin word for “broken,” because you keep breaking the pattern into smaller bits and the edge is never a simple smooth line.
Computers are very good at drawing them電腦很擅長畫出它們, so many people first meet fractals所以很多人第一次認識fractal as bright swirling pictures on a screen是透過螢幕上那種鮮豔漩渦狀的圖片 — though actually不過其實 the idea is mathematical這個概念是數學的, not just computer art不只是電腦繪圖藝術。 The name這個名字 comes from a Latin word for "broken,"來自一個意思是「破碎」的拉丁字, because you keep breaking the pattern into smaller bits因為你不斷把這個圖案打碎成更小的碎片 and the edge is never a simple smooth line而邊緣永遠不會是簡單平滑的線。
You can say a fractal (the thing) or a fractal pattern (the adjective). Scientists care about the repeating rule; posters care about the pretty picture. Both uses are real.
You can say你可以說 a fractal (the thing)a fractal(名詞,指這樣東西) or a fractal pattern (the adjective)或a fractal pattern(形容詞用法)。 Scientists care about the repeating rule科學家在乎的是重複的規則; posters care about the pretty picture海報在乎的是好看的圖案。 Both uses are real這兩種用法都是真實存在的。
原始詞典資料4 筆記錄
以下是外部詞典記錄的用法,原文照列,我們還沒有寫成教學內容。上面的說明才是我們自己寫的;有些用法可能上面已經講過了。
fractalnoun/ˈfɹæk.təl/
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mathematicssciencesA mathematical set that has a non-integer and constant Hausdorff dimension, corresponding to a geometric figure or object that is self-similar at arbitrarily small scales and thus has infinite complexity.
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An object, system, or idea that exhibits a fractal-like property, such as the property of self-similarity at numerous but not infinitely many scales.
- In essence, you are assuming that each segment of a company is a fractal of the whole[…]
fractaladj/ˈfɹæk.təl/
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mathematicssciencesHaving the form of a fractal; having to do with fractals.
- Romanesco was my gateway cauli and I've never stopped growing it. Not a variety as much as its own thing, Romanesco is a cauliflower to the French, a calabrese to the Italians. […] Visually, it may be the most remarkable thing you can grow: it is made up of lime-green mini-spirals that coil around themselves in fractal formation.
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Exhibiting a fractal-like property.
- A fractal situation emerges in this way then: the consequences of Ulysses' decision to abandon Calypso are not entirely predictable.
資料來源:英文維基詞典 English Wiktionary(CC BY-SA 4.0)。 原文照列,未經改寫。