The Perspective Course
Understanding Perspective(21 Lessons )
Intro to Perspective
Materials to Spare You Pain
Depth Tricks and Old Masters
Bonus Lessons
Mastering the Skills(0 Lesson )
In this lesson, I'll break down how to use triangles to create accurate angles in 15-degree increments, covering angles from 0 to 180 degrees. I’ll demonstrate how flipping and combining simple 30/60 and 45/90 degree triangles can yield various angles, like 135, 120, 150, and even specific ones like 15 or 75 degrees. These techniques are practical for understanding angles in freehand perspective drawing without memorization, though familiarity with these increments can improve precision.
Newest
Jacob Granillo
20d
This really helped me to get the angles correct. I struggled to use my materials when we did the optical illusions assignment, because I never used them before! I felt like I did enough circles for today, the fourth will I will do tomorrow
Jacob Granillo
19d
Did it!
@zeeillustrates
22d
I haven't had this much fun in a while, Im going to try and do this every day or every once in a while until I have at least internalized most of angles. Just from this, I know that 120 corresponds to 300 so there's a start!!
Ethyn
25d
Putting in some practice, getting used to using the triangles!
I noticed I need to be more careful with where the lines start and end when being this precise.
Ramzi Chamcham
27d
I only did this due to the fear caused by the state of existential uncertainty that the joke put me in.
Also, why does my T square kinda suck? It has no measurements, and slightly lifted off the table.
Sandra Salem
1mo
It was interesting. Nice exercise to undust all that geometry from Elementary. I did all the angles with the triangles, adding and subtracting. To be honest I rely on this little friend at the end to make life easier. Nonetheless I am pretty confident now, that if I find myself stranded on an island I won't die for a lack of shelter.
This was worth my Google search:
Ecclesiastes 4:9-12. Two are better than one, because they have a good reward for their toil. For if they fall, one will lift up the other; but woe to one who is alone and falls and does not have another to help. Again, if two lie together, they keep warm; but how can one keep warm alone... 😂
By the way, your jokes are awesome! Keep working on that comedic material.
Dermot
1mo
Marshall, that's brilliant video lesson loved it!
Who would have guessed that you invented the antique monochrome test card !
The 15 degree pizza, that's my wife's portion !
Thanks
:)
Christian Zinser
1mo
Hi Marshall, great lessons so far, I'm really excited about studying perspective!! Who new that was possible... I guess I just needed to find a great teacher!
I might be getting something wrong but I believe there is a mistake in the angles in the video, it skips from 105 to 130 and goes on from then. Here is a screenshot and I also attached my attempt at the angle wheel.
Thanks for sharing!
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1mo
Good catch! We'll swap it out soon!
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1mo
It sure does! Thank you for noticing. We got ten degrees ahead and didn't notice... then skipped only 5° at finish line.
This is why we need the likes of you in this group...
Brian Slavin
1mo
Hi Marshall,
I have watched this one a few times. I’m not good at math so I need to get it through my thick skull. FYI, when you are doing the pizza analogy the 15 degree angles are off beyond the 105 degree.
cheers,
brian
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1mo
Good catch! We'll swap it out soon!
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1mo
Indeed. Noted. We could claim it was deliberate to see if you were paying attention, but it would be a lie. It was a mistake. Thanks for pointing it out..
@jaejaelearning
1mo
how you stacked the two triangles in the isometric video explained! Woohoo! All becomes clear in time.
Amu Noor
1mo
Question: Are these angles used in linear perspective as well as in isometric perspective?
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1mo
We barely use this in Linear Perspective, but it makes sense to notice it early in training, as a foundation for how line angles can be quantified. And it's useful for sharpening your perception.
It's a bit like ear training for a musician, or knowing the notes on the grand staff before improvising on an instrument.
Li Ming Lin
1mo
I had the same question as well. I was wondering if it is for Axonometric perspective or for Linear perspective? I feel it is the latter when experimenting with some cuboids.
Because Axonometric perspective is perspective without vanishing points. Then as an example, if we make the center of the circle the vanishing point, then does it become one-point perspective? Sorry if it is an obvious question :D
Donna Milligan
1mo
Thank you! I’ve been floundering with these triangles trying to figure out what you were doing for 2 weeks. I’m also the slightest bit concerned that the course isn’t finished yet and you’re stalling for time. Hopefully not, I’m in for the whole ride no matter what. 👍
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1mo
Donna - the course isn't finished yet! We're producing part 2 now.
If you feel like it's going too slowly, you may want to augment it by studying shading, which fits well with this one, or an unrelated subject to balance it. This is a long ride, usually with a week or two between assignments, as you apparently needed here.
But it is by design that we are parsing these out...
Sarah NP
1mo
Brilliant AND funny! Thanks Marshall.
@lucastoonz86
1mo
I like my compass but it does damage the paper. I used 22.5 degree increments on top and 15 degree increments on bottom.
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1mo
You went all out. You also paid the price for the damage to the paper. Battle wounds to impress those who weren't there.
Katie
1mo
My supernatural ability to do math only as it pertains to art is constant. I found myself having so much fun puzzling triangles together that I kept going, haha!
•
1mo
A rare gift.
And you carried it through all the way. Thanks for posting.
Randy Pontillo
1mo
This 5 minute video taught me more about angles than the entirety of my school career
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1mo
Thanks Randy and Lucie. I didn't know, when we recorded it, that it would be so "for you."
Lucie VERGNON
1mo
Same 🤣
Nassim A.
1mo
To better understand this lesson, I tried to find on my own ways to add the 15° increments using only 45° and 60° squares. My brain melted..
But it was interesting to find out that there are several ways to get the same angles! (at least if I did it right ^^')
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1mo
Yay! Geometry Gamified.
John
1mo
This was awesome, thank you Marshall. I tried using my triangles during the Isometic Optical Illusion homework assignment and was struggling in a dramatic fashion (many huffs and puffs). This was a very helpful illustration that I will practice a bunch!
•
1mo
Thank you John!
Martin Vrkljan
1mo
That joke... man, I did not expect that. I think I'm beginning to realize what a ride we're all in for with this course. Great stuff, Marshall!
•
1mo
Thanks Martin!
Johannes Schiehsl
1mo
Getting familiar with angles also comes in handy in navigation on land, sea and in the air.
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1mo
Yaw.
That's all about Yaw.
In Lessons 7we'll get to Pitch, Yaw, and Roll...
Johannes Schiehsl
1mo
Concerning jokes:
What do you call a triangle with no angle? - A nice try.
@dooby
1mo
Anybody know were to buy that circular ruler thingy-mah-bob? It's looks really cool and now I want one
@ryanlloyddesign
1mo
It looks like a Helix Angle & Circle Maker. I got one from Hobby Lobby not too long ago.
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1mo
https://www.amazon.com/Helix-Integrated-Templates-Assorted-36002/dp/B0044S5CZM/
Course by Michael Hampton
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About instructor
I Write, I Draw, I Teach
