Over this year, I've been researching about building beyond common effortlessness in most people's Minecraft builds, like flatness, plainness, etc. I had started a thread about advanced building in Minecraft, but I have now realized that if someone new to professional building watches a video, like from some of the YouTube channels that I had listed, the result could be plagiarism. If that happens, they won't or barely gain any useful knowledge for when they want to build something unique. So, I have typed out a guide for one of the most important parts of a building: its shape(s). I hope you find this useful!IntroductionThe real world is filled with all kind of shapes, but when comes to the digital world creating them is different than simply drawing it out. All of the images and textures are made out of squares called 'pixels'. Although, the question is: 'how do expert Minecraft builders and graphics designers make shapes through an array of squares?' This question has multiple answers to it. Note that this guide doesn't include every single answer.Creating AnglesIn a digital image, an angle is represented as a slope which is a straight line. Using the formula of slope, you can find out how many identical or similar pixels/Minecraft blocks are in each column or row. The formula for slope is as follows:m(Slope)= y2-y1(Rise) x2-x1(Run)Example: When y2= 2, y1= 1, x2= 2, and x1= 1.2-1= 1 m= 12-1__1Since the slope equals 1, this mean that to form the line, each square has to be right 1 and up 1. If the slope was negative, the direction of the line would be reverse for the respective axis.CurvesIn theory, circles have an indefinite number of sides, and spheres have an indefinite number of faces, edges, and vertices, but they're limited by image resolution digitaly. They're made out of curves which can be made by using different angles. A common way to make a curve is to start with a single line and making another one that isn't longer than the your starting point. But, if you were to go from a 3-pixel line to a 5-line, your curve is actually flowing in another direction which the wouldn't want to have if you want just a single curve.For example: From a 5-pixel tall line that passes through the ordered pairs (1,1) and (1,5), you want to create a curve that flows into a 5-pixel long angle running through the ordered pairs (6, 10) and (11, 11).*Prepared lines as shown at a 1:8 pixel scale.In this situation, the horizontal line is 6 pixels to the right and 6 pixels up from the vertical line making a 5*5 area inbetween the 2 lines. In this open space, the curve would go inside. With the amount of space, you can make a total of 2 different lines. Here's how I might form the curve.Coming from above the vertical line, I would place a 2-pixel high line 1 pixel to the right, a single pixel diagonally from the 2-high line, and finally a 2-long line placed diagonally.*Finished Curve at a 1:8 pixel scale.*Same as before but at a 1:1 scale.ConclusionBy following the concepts I have explained, I hope you'll be able to start planning out shapes of your builds and actually build them without having to copy from a separate image. Because of the lack of images I was able to provide, images from any of you showing that you understand what I covered would be helpful to me.If you want to see more of these guides, cast your vote above this post. I won't be able to explain every detail of information about digital building because I'm still learning.