Hello! Welcome back to our module on deconstructing architecture.
In the last lesson, you learned the crucial first step of architectural drawing: analyzing a building to see its primary and secondary masses. By focusing on the largest, simplest box-like forms, you can create a solid "wireframe" foundation for any structure.
Today, we will build directly upon that foundation. Our goal is to construct building facades with correctly aligned windows and doors in two-point perspective. Now that you can draw the box, we'll learn how to accurately place features onto its surfaces. This involves some clever geometric techniques to handle the challenges of foreshortening, ensuring your windows and doors look like they belong on the building and recede correctly into the distance.
1. The Basics: Aligning with Perspective
Let's start with a building already constructed in two-point perspective, like the ones you practiced in the previous lesson. The first step is to place the windows. How do we determine their height and make them look right?
The vertical placement is straightforward. Just like the top and bottom edges of the building itself, the top and bottom edges of all windows on a given face will recede towards the same vanishing point.
You can define the height of the windows on the closest vertical edge of the building, and then simply project those heights back using perspective lines.
To see this principle applied in a quick sketch, let's watch a brief segment from a familiar guide.
How to Draw Perspective - A Simple Guide and Sketching Tutorial
In this clip from TobySketchLoose, you'll see a practical demonstration of how to add windows and doors to a simple house form in perspective.
Watch the section from 11:39 to 13:09. Observe how he uses the established vanishing points to draw the guidelines for the top and bottom of the windows and doors.
While vertical alignment is intuitive, horizontal spacing is the real challenge. If you have a row of equally sized windows, you can't just measure out equal spaces on your paper. Due to foreshortening, the windows must appear smaller and closer together as they get further away. The key question is: by how much?
2. The Toolbox: Methods for Dividing a Plane in Perspective
To solve the spacing problem, artists use a few reliable geometric "algorithms." These methods allow you to divide a surface in perspective with precision, without any guesswork. Given your background in programming, you might appreciate these as procedural ways to generate correct proportions.
Method 1: Even Divisions with the "X" Method
The simplest and most common method is used for creating even divisions (halves, quarters, eighths, etc.).
- To find the center of any rectangle in perspective, simply draw two diagonal lines from corner to corner, forming an 'X'.
- A vertical line drawn through the intersection of the 'X' will divide the plane into two visually equal halves.
- You can then repeat this process on the newly created halves to divide the plane into quarters, and so on.
This method is perfect for finding the center of a wall, placing a central door, or creating an even number of repeating elements like columns.
Dividing Surfaces in Perspective: Diagonals and Measuring Lines
The article 'Dividing Surfaces in Perspective' provides an excellent explanation and clear diagrams for this diagonal method.
Read the first part of this article, from the heading 'Here’s how I learned to replicate this method...' down to the image of the solid divided with diagonals. Focus on how the 'X' is used to find the center and how this principle can be extended to create a grid.
Method 2: Custom Spacing with Measuring Lines
But what if you need an odd number of divisions, or an uneven pattern, like [wall] - [window] - [wall] - [window]? For this, we need a more powerful technique. This method involves establishing your desired spacing on a flat line and then projecting that spacing into perspective.
This is conceptually similar to taking a 1D array of coordinates and mapping it onto a 2D plane in your graphics programming projects.
The best way to understand these more advanced but highly versatile methods is to see them in action.
3 Ways to Divide Areas in Perspective Drawing
Artist Robert Marzullo demonstrates two powerful methods for creating custom divisions in perspective. These are fantastic tools for your drawing arsenal.
Watch the video from 01:30 to 10:41. The first method (ending at 06:31) shows how to create evenly spaced columns by measuring on the side and using a diagonal. The second method (starting at 06:31) introduces the concept of a 'special' vanishing point to project a custom spacing pattern (like 'window-spacer-window') onto the surface. This is an incredibly useful technique.
These techniques might seem complex at first, but they are based on repeatable geometric logic. Practicing them a few times will commit them to memory.
Test your understanding!
You need to draw a long wall with a single door placed exactly in the center. Which method would you use?
Now, imagine you need to draw that same wall, but with three windows of the same size, separated by two sections of wall that are half the width of a window. Which method would be more suitable?
Show answer
For the single door in the center, the "X" Method is the most direct and efficient way to find the exact midpoint of the wall.
For the more complex pattern of three windows and two smaller gaps, the Measuring Line method would be far more suitable. You could lay out your pattern (gap-window-gap-window-gap-window-gap) on a measuring line and project it into perspective to get the correct foreshortening for this custom arrangement.
3. A Complete Walkthrough: Placing a Row of Windows
Let's consolidate these ideas by walking through a complete example. The following blog post combines several of these principles to add two rows of windows to a building facade.
The blog post 'Windows in Perspective part 2' by Rob Adams provides a clear, illustrated, step-by-step guide to adding multiple windows.
Read the entire post. It's short but dense with information. Note how he first establishes the vertical heights of the two rows of windows. Then, he uses the 'X' method to find the center and subdivide the space for the first window. Finally, pay close attention to the 'tricky bit.' He uses a clever diagonal projection method to duplicate the first window across the rest of the facade, ensuring each one is correctly scaled.
The duplication method shown in the blog post is another classic technique. It demonstrates that once you establish a single unit in perspective (like one window and its adjacent wall space), you can repeat it indefinitely using diagonals.
Conclusion
Great work today. Mastering these subdivision techniques is a major leap forward. It moves you from just guessing at placement to being able to construct architectural features with intention and accuracy. Your drawings will now have a much stronger sense of structural integrity.
Key Takeaways:
- The tops and bottoms of windows on a facade align with perspective lines that converge on a vanishing point.
- To space elements horizontally, you cannot use a ruler directly on the drawing. You must use geometric methods to account for foreshortening.
- The "X" Method is a quick and easy way to find the center of a plane and create even divisions (2, 4, 8, etc.).
- The Measuring Line Method is a more versatile technique that allows you to project any custom or uneven spacing pattern into perspective.
Next Lesson:
We have now tackled vertical walls. But what about angled surfaces? In the next lesson, we will learn how to draw roofs and other inclined planes in perspective. This will add another critical dimension to your architectural drawing skills, allowing you to construct more varied and realistic buildings.