Learning GLSL can feel overwhelming at first. Words like fragment shaders, UV coordinates, and procedural graphics sound complicated, but every advanced shader is built from a handful of simple ideas.

This series starts from the very beginning. Each article introduces one concept at a time, builds on the previous lesson, and includes practical examples that you can experiment with yourself.

If you are joining the series for the first time, here is everything we have covered so far.

---

Part 1: Your First Shader: Painting the Entire Screen One Color

Every shader starts somewhere.

In this first lesson, we learned what a fragment shader is, how every pixel is processed, and how gl_FragColor outputs the final color on the screen. By the end, we had written our very first shader that filled the screen with a single solid color.

---

Part 2: Understanding UV Coordinates: The Secret Behind Every Shader

Once we knew how to display a color, the next question was simple.

How does a shader know where each pixel is?

This article introduced UV coordinates and explained why almost every shader begins with them. We explored how values move from 0.0 to 1.0 across a surface and why UV coordinates are the foundation of procedural graphics.

---

Part 3: Your First Gradient: Using UV Coordinates to Paint Space

Using UV coordinates, we created our first gradients.

Instead of filling the screen with one color, we learned how to create smooth transitions horizontally, vertically, and diagonally. This lesson showed how positions themselves can become color values.

---

Part 4: Mixing Colors with mix(): Creating Smooth Color Transitions

After creating gradients, it was time to blend colors together.

We learned how the mix() function interpolates between two values and how gradients can be used to smoothly transition between completely different colors.

This function appears in almost every shader you will write.

---

Part 5: Keeping Values Under Control with clamp()

Shaders often produce values that become too large or too small.

The clamp() function solves this by restricting values to a chosen range.

This lesson demonstrated why keeping values between 0.0 and 1.0 is important when working with colors, brightness, and many mathematical operations.

---

Part 6: Adding Contrast with pow(): Making Gradients More Interesting

A simple gradient is useful, but sometimes it needs more character.

Using the pow() function, we reshaped gradients, increased contrast, softened transitions, and discovered how a single mathematical function can dramatically change the appearance of a shader.

---

Part 7: Repeating Patterns with fract(): Creating Infinite Tiles

Instead of drawing one gradient across the screen, we learned how to repeat it forever.

The fract() function removes the whole number from a value, allowing UV coordinates to restart repeatedly. This became the foundation for procedural tiles, stripes, checkerboards, and many repeating textures.

---

Part 8: Drawing Sharp and Smooth Edges with step() and smoothstep()

Until now, every transition had been smooth.

This lesson introduced two functions that let us control edges.

With step(), we created perfectly sharp transitions.

With smoothstep(), we softened those edges to produce cleaner and more natural looking results.

These functions are essential for creating masks, borders, circles, and many procedural shapes.

---

Part 9: Bringing Shaders to Life with Time

Everything we had created so far was static.

This tutorial introduced the uTime uniform and showed how a single value changing every frame can animate gradients, colors, and procedural patterns.

We explored how movement is created simply by allowing one variable to continuously change over time.

---

Animation becomes much more interesting with repeating mathematical functions.

In this lesson, we introduced sin() and discovered how it naturally creates smooth oscillating motion.

By combining sin() with time, we built moving gradients, pulsing colors, flowing waves, and our first truly organic shader animations.

Along the way, we also explored concepts like amplitude, speed, and frequency, which appear throughout procedural graphics.

---