fractus的音標為["fr?kt?s]，基本翻譯為“碎塊；碎片”，速記技巧為“fr”聯想“碎片”，“actus”意為“成碎片”。

Fractus這個詞來源于拉丁語，意為“碎片，碎塊”。它的變化形式主要有復數形式fracta和過去式、過去分詞形式fractum。

相關單詞：

fragment：這個詞和fractus有相似的含義，都表示破碎的部分。它來源于古法語中的frangment，進一步演變而來。它通常指破碎、斷裂或分散的部分，也可以指部分或殘余。

shatter：這個詞表示使破碎，通常指突然、猛烈地破碎。它的詞源和fractus也有一定的關系，表示破碎的部分。

smash：這個詞表示猛烈地打破、擊碎或摧毀。它的詞源可以追溯到古英語中的smasian，意思是“砸碎”。

rift：這個詞表示裂縫、裂痕，通常指地質上的裂縫或人際關系的裂痕。它的詞源可以追溯到古挪威語中的rift，意為裂口。

smatter：這個詞比較少見，但它和fractus有相似的含義，都表示小塊、碎片。它來源于古英語中的smatter，意為“小塊”。

以上這些單詞都與fractus有某種聯系，并且可以用來描述各種形式的破碎、部分或殘余。這些單詞在英語中有著廣泛的應用，可以幫助我們更好地理解和使用fractus這個詞。

常用短語：

1. fractal pattern 分數圖樣

2. fractal dimension 分形維數

3. fractal growth 分形增長

4. fractal landscape 分形地貌

5. fractal structure 分形結構

6. fractal universe 分形宇宙

7. fractal complexity 分形復雜性

例句：

1. The coastline of the island is characterized by a fractal pattern.

2. The stock market data exhibits fractal growth over time.

3. The landscape of the Grand Canyon is a complex fractal landscape.

4. The structure of the DNA molecule exhibits fractal characteristics.

5. The universe we live in is a vast and complex fractal universe.

6. The complexity of a system increases with its fractal dimension.

7. Fractals are used in many fields, including biology, finance, and engineering.

英文小作文：

Title: The Beauty of Fractals

Fractals are a fascinating phenomenon that capture the imagination of scientists and artists alike. From the intricate patterns found in nature to the complex structures seen in digital images, fractals are everywhere. They possess a unique beauty that is both orderly and chaotic, giving rise to patterns that are self-similar across different scales.

Fractals offer a way of understanding complex systems that go beyond traditional approaches. By studying fractals, we can gain insights into patterns that repeat themselves over and over again, regardless of the scale at which they are observed. This allows us to make sense of systems that might otherwise seem random or chaotic.

Moreover, fractals have found applications in various fields, from finance to biology to engineering. In finance, for instance, fractals have been used to analyze market trends and identify patterns that might indicate future movements. In biology, fractals have been used to understand how cells and tissues behave, and in engineering, fractals have been used to design more efficient and sustainable structures.

Despite their widespread use, there is still much to learn about fractals. As we continue to explore their properties and applications, we can expect to see more and more exciting discoveries made about this captivating phenomenon.