Tarik's Blog

The Mandelbulb is a fascinating three-dimensional analog of the classic Mandelbrot set, offering a glimpse into the infinite complexity of fractal mathematics. In this post, I'll explore the mathematical foundation of the Mandelbulb and share how I optimized its rendering to create a beautiful, interactive visualization.

Discover the power of binary exponentiation, an efficient algorithm that simplifies the computation of large exponents. Learn how this technique leverages the binary representation of numbers to reduce time complexity, explore its mathematical foundations, and see practical applications in cryptography, competitive programming, and more. This blog post breaks down the algorithm step-by-step, complete with examples, JavaScript implementation, and a complexity analysis to help you master this essential computational tool.

Learn the fundamentals of Disjoint Set Union (DSU), a powerful data structure for efficiently solving problems involving partitioning, grouping, and dynamic connectivity. Explore its operations, use cases, and time complexity, and discover why it's a cornerstone in algorithm design.

In this step-by-step guide, we walk through setting up a DigitalOcean Droplet, including configuring a secure user, installing PostgreSQL, setting up Nginx for web server management, configuring a firewall with UFW, and securing your site with SSL/TLS certificates using Certbot. This guide covers all essential aspects of getting your server up and running with improved security and performance.

Since my hiatus from thru-hiking, I have found it hard to find something to fill that void in me. Last year I had discovered winter high peaking in the Adirondacks High Peaks Wilderness, and I feel so fortunate.

Wild flowers have had a large impact on my life. From the time I was a young child, to my adult life there has always been moments of joy provided by these flowers. Some are rare, some are common, some are edible, and some are just there to remind us of the beauty of nature.