Assignment - XYZ: The Framework for Drawing in 3D
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Assignment - XYZ: The Framework for Drawing in 3D
courseThe Perspective CourseSelected 2 parts (109 lessons)
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Lin
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LESSON NOTES

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You're about to journey into imaginary space, the three dimensions you've known since birth. This illusion is created by combining three lines, X, Y, and Z. These perspective lines take you into space.

The Three Axes: X, Y, and Z

Before you can navigate and measure in space, you need to know the three guiding lines called axes. An axis is an imaginary line that helps you foreshorten objects. By imagining three sets of lines, you can position an entire scene.

Moving from Flat to Three-Dimensional Space

Previously, you learned about angles on a flat surface. Now, you move into challenging views that slant into space: three-quarter views, oblique views, views at an angle. This changes everything.

Predicting these angles solely by measuring isn't enough. You could spend a lifetime labeling angles and not truly learn to draw in perspective.

The Importance of Right Angles

There's a simpler and more useful concept: the right angle. With three right angles at right angles to each other, you create a three-dimensional compass of X, Y, and Z. This arranges the three dimensions of space.

Naming the Axes: Why X, Y, and Z?

Why use letters like X, Y, and Z? Because terms like up, down, left, and right change when the object spins. Letters stay consistent regardless of the object's position.

Sometimes axes have vanishing points, sometimes they don't. The key is that three sets of parallel lines cover all three dimensions.

Applying Axes to Objects

We'll use:

  • X for the width of the object.
  • Y for the height.
  • Z for the depth, introducing a vanishing point.

These axes apply to complex objects as you advance.

* * *

Labeling these primary axes prepares you to handle complex spatial structures. Just as three primary colors create many others, three primary axes help you understand the spatial structure of any form. Notice the primary lines, X, Y, and Z, and expand your spatial awareness.

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ASSIGNMENTS

ASSIGNMENT SUBMISSION: Feel free to submit your assignments in this lesson or the next one (Assignment - Labeling Lines for Spatial Understanding ) submissions will be reviewed from both location. - please try to avoid making duplicate posts

Assign one of the letters, X, Y, or Z, to each set of lines in the 3D models provided in this course or in the Zolly app. Then, sketch each object or scene. Don't worry about precision, focus on understanding.

  • Level 1: Everything is aligned. Label the axes.
  • Level 2: Objects aren't aligned. Decide which lines represent width and depth, and stay consistent.
  • Level 3: Includes bevels and diagonal lines moving on two axes. Label them as XZ, ZY, or XY.
  • Level 4: Lines moving on all three axes. Recognize that more than three axes exist, but focus on the primary ones.

Deadline - submit by April 29, 2025 for a chance to be in the critique video!

Stevie Roder
I slowly reviewed the xyz labeling assignment over the past few days. I started with the Hexagon to start with something simple, then decided to challenge myself with the stairs, then the right angled shape, last the slope shape 2. I tested out with the hexagon at different angles to challenge my brain, and then I rewatched the segment on the labeling to get it implanted in my head well. Which I believe truly helped me out with this assignment. This one was quite fun, figuring out which sections of each item the labels were and where to mark them. It felt like a great fun medium-sized level puzzle, which I love, so I was so happy to solve this one. I think I actually learned quite a lot about xyz coordinates a little bit. But would still love some input and thoughts on this progress.
Marshall Vandruff
Stevie, I'm glad you're learning. Two things: 1) Let's lighten up those "lines on the other side of the form". Some atmospheric perspective. "Steam in the model" to help us see the front from the back 2) Get those parallel lines on the forms going in the same directions. They are wobbling! Comb through each drawing to demand each set to point the same way. That will help...
sara keyes
1yr
Carlos Pérez
Brandon
1yr
I can see the benefit of simply naming the axis, kind of like why the characters have to shout their skills name out in a fight scene. Having trouble with the spinning table though, The table width is still x axis even when it is pointing toward xz direction if we use the bigger box x- axis as the x axis of the whole?
Dedee Anderson Ganda
diagonal line, especially moving in all 3 axes are definitely takes time to figure out accurately, cannot be done without the help of using construction lines. I wonder if eventually we can eyeball/intuitively draw those lines?
Gannon Beck
11mo
Great job, Dedee!
Jyayasi (*Jay-o-she*)
We may eventually get an intuitive sense of solving complex perspective problems as we progress, but I think at this stage, figuring out the correct construction techniques are also a challenge. There is no harm in using construction lines to get a form as accurately as possible.
Carlos Javier Roo Soto
My second take on the assignment. This time I rough it and build it from a box first. As you can see in the first one the back plane doesn't really match well the front, on the other two I think I did better by starting from the back planes to the visible front, also I kind of have this problem of not been good in cleaning up my drawings in physical media. Any advice to improve on both these aspects? Also this my be a little late to ask this far in the course, but how would you recommend to get the best out of these lessons as I learn to fall in love with drawing for fun and not just work? I think I'll put the next batch on the other video.
Marshall Vandruff
Yes, Carlos. For fun, and if you love it, you embrace the work even when it's not fun.
Roderick Taylor
Thank you for the lesson!
Kassjan (Kass) Smyczek
Was a fun exercise! I quickly sketched those freehand (except the one horizon line) and repeated the axes like a mantra. That way I got faster and was even reminded on my elementary school math lessons :). Wonderful!
Darren
1yr
Rachel Dawn Owens
I appreciate the way you colored the different sides. The color helps your forms read better. Looks great!
@bumatehewok
Renee Ing Akana
I made a mess. I struggled all week trying to figure it out and then I decided to take a vintage ride down the Gumroad to seek the sage advice of a younger, better looking Marshall. I landed on the last section where he told me to just listen, don't write this down. Maybe this wasn't the lesson, but I consulted Watson. I wasn't sure I was doing the right assignment, but I wasgoing somewhere or no place. I'm still confused, but I had a lot of fun pulling all of my hair out.
@saschu
1yr
Rick B
1yr
Got the room with the turning table done. I could not for the life of me figure how to do it in graph paper. when it doubt lay down some perspective lines.
Marshall Vandruff
Yeah - graph paper is not the best for this. Live and Learn, Draw and Discern.
Nancy Yocom
Omg! I think I’m catching on. I had to another one. Thanks Marshall!
Lucie VERGNON
Hey Marshall, This assignment was so much fun that I ended up creating each visual twice, experimenting with different viewing angles each time! I’ve spent a few hours on them over the past days :) I hope the annotations are clear enough. Thanks for these awesome projects! 👋🏻✨🥳
Dave
1yr
I'm not quite sure if I labeled the axes correctly, but I gave it the ol' college try. Is there a difference between YZ and ZY or XZ and ZX?
Melanie Scearce
These look great, the only thing I noticed is that these diagonals in green would be XYZ since they are moving up, back and in, while the two on the other side are only moving in and up. My understanding is that the convention is YZ and XZ and the order determines orientation.
Rick B
1yr
these were fun. I would like to thank Mr. Vandruff for turning me onto graph paper. Never thought to use it. but now it's go to for plans. will work on the booth and rotating table in the next days. I don't see me using graph paper. but instead setting up a perspective shot .
Darin
1yr
I hope these make sense. I coloured the sides I considered axis aligned, and then labelled the rest. Edges were all in the same combinations of axes, then I only labeled them once.
Carlos Javier Roo Soto
Alright, my first try to this assignment. I hope my poor dexterity and treacherous crayons don't make it hard to see. Should I had use the color pencils to do the sketches themselves? I kind of worry that maybe I'm just doing copies and not actually analyzing perspective, so I try to be more conscious of that on my third drawing. What advice can you give to keep in mind while doing these studies?
Marshall Vandruff
My advice is to do exactly what you're doing. You have labeled the lines, and you have begun to understand why...
Dermot
1yr
Still working on the Ortho Puzzles, but here are some of my basic XYZ boxes. Any feedback would be great. Thanks :)
Marshall Vandruff
EZ Feedback: You did it.
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