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            <p><strong>Note:</strong> This Guided Project is part of our <a target="_blank" href="https://stackabuse.com/courses/data-visualization-in-python/">Data Visualization in Python</a> course, and additionally made available as a standalone project. For the full experience, please enroll into the respective course.</p>

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            <p>Matplotlib is versatile - you can go with simple 2D plots or 3D plots and plot simple or complex relationships between data points with it. While it's not <em>perfect</em> for everything, it definitely is a Jack of All Trades. Seaborn is built on top of Matplotlib, makes the plotting process easier and cleaner, and produces nicer visuals.</p>
<p>It's worth noting that the &quot;nicer visuals&quot; are really, just built using Matplotlib's support for customized plot styles. You can define your own styles and use them instead of the default one, or pick from the many styles available in the library. The beauty of Seaborn's plots is <em>just</em> a Matplotlib style that makes them look more pleasing and well-polished. To this end - we'll be playing around with face colors, alpha values and line colors in the upcoming project to make visuals more appealing. We'll be offloading some of the more complex visualizations to Seaborn, since there's no need to create them by hand through the low-level API when an existing solution already exists.</p>

David Landup

Visualizing the Collatz Conjecture

<p>That concludes this Guided Project - <em>&quot;Data Visualization in Python - The Collatz Conjecture&quot;</em>. Thank you for taking a ride with us!</p>
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<p>Thank you for purchasing <em>&quot;Data Visualization in Python - The Collatz Conjecture&quot;</em>! We hope that it has brought a ton of value to you so far, and know that it will continue to do so as you dive further in to this topic.</p>
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Jovana Ninkovic

<p>The Collatz Conjecture is a notorious conjecture in mathematics. A <em>conjecture</em> is a conclusion based on existing evidence - however, a <em>conjecture</em> cannot be proven. If it can - it becomes a <em>theorem</em>. The Collatz Conjecture has several other names as well - Kakutani's Problem, Ulam conjecture, Hasse's algorithm, etc.</p>
<p>Ever since its inception, the conjecture became somewhat of a taboo, since it appears to be unsolvable and due to how simple it is - many consider it a waste of time and effort. Yet, this hasn't stopped many from trying to prove or disprove the conjecture, observe it through a myriad of lenses and prisms and try to make sense of what's happening.</p>
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<p>So, what can we do with Python and Matplotlib?</p>
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            <p><strong>Note:</strong> This Guided Project is part of our <a target="_blank" href="https://stackabuse.com/courses/data-visualization-in-python/">Data Visualization in Python</a> course, and additionally made available as a standalone project. For the full experience, please enroll into the respective course.</p>

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