This article will explain how to render 4D objects in Unity, using three separate technique: orthographic projection, perspective projection and cross-section.

You can find all the articles in this series here:

This article will show how to extend Unity to support four-dimensional geometry. This is the second article in a series of four, and the first one which will probably start discussing the Mathematics and the C# code necessary to store and manipulate 4D objects in Unity.

You can find all the articles in this series here:

A slippy map (sometimes also referred to as tiled web map, tile map, or simply interactive map) is a web-based map that can be zoomed in and out seamlessly. The most popular slippy map you might be familiar with is Google Maps, alongside many others like that.

This tutorial will show you how to create your own web-based slippy map with Unity. Such a technique can be used to create interactive maps for your own games, or to better explore complex phenomena such as fractals or even Mathematical functions. For clarity, the actual map will be created with Unity, but it will be served using a JavaScript library called LeafletJS. A link to download the full Unity package is also available at the end of the article.

The image used in the cover has been generated using Stamen.

Seam carving is a technique that can be used to resize images, which is also known as liquid rescaling. Compared to the traditional resizing tool, it does not “stretch” the image, but it selectively removes the pixels which contain the least amount of information. As a result, it allows to shrink images preserving most of the details.

Seam carving is an example of a context-aware resizing algorithm, as it does not treat images as mere collections of pixels. By all means, it can be considered an AI-powered algorithm. The “AI part” resides in the fact that it is able to identify which pixels to remove on its own. However, it does so without any neural network and—most importantly—without the need to be trained on external data. Hence, it belongs to the field of what I call Classical AI, conversely to the more recent field of Deep Learning. With AI-powered tools becoming more and more popular, I find it helpful to show how a lot can be achieved with some clever algorithms, without the need to train expensive neural network models.

If you are interested in learning more about tools like DALL·E 2 and Midjourney, I would suggest checking one of my most detailed articles titled The Rise of AI Art.

If you are familiar with programming, you might have heard of a specific paradigm called functional programming. Most modern languages, such as Java and C#, have integrated some functional elements over time. Other, like Scala and Haskell, were built around that very idea of functional programming.

This online course will look at some of the functional features available in C# 3.0, including the concept of anonymous functions, delegates and lambda expressions. But before doing that, we need to understand what functional programming actually means.

If you are interested, keep reading, and we will explore the following topics:

This is the second part of the series dedicated to the catenary, the mathematical object used to model hanging wires, cables and chains. This post will show how to implement catenaries in a game engine like Unity.

This tutorial will teach you how to master inverse kinematics in 3D: the technique that solves the problem of moving a robotic arm to reach for a specific target.

At the end of this article, you will find a link to download a simple C# library that provides a new type which improves the precision of traditional float and double variables.

This tutorial will introduce you to floating-point arithmetic, and how many modern languages—C# included—represent real numbers. This is a series in two parts:

At the end of this article, you will find a link to download a simple C# library that provides a new type which improves the precision of traditional float and double variables.