How to Draw a Perfect Square and Cube in 2 Point Perspective
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- Опубликовано: 6 авг 2013
- This video teaches you how to draw a square in 2 point perspective, and then turn that square into a cube. It sounds simple enough, but it's actually quite tricky. I needed to learn this myself but couldn't find any video teaching it, so eventually I found out how to do it and figured I'd make a video to share the info with you all.
It's a dry topic, but if you are studying perspective, it's valuable to know how to do this because you can use a square or cube to figure out any other shape in perspective.
Tools:
Adobe Photoshop CS6
Camtasia Studio
Wacom Cintiq 22HD
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40 years on from the start of my love of drawing two point perspective geometric art I FINALLY know a way to do this. I never had a teacher, or took any classes and for years and years I just knew there had to be a way to build it "perfectly", now I know. Thank you.
I've seen like 50 videos on how to draw a perfect cube and none of them made sense until I found this one. Thanks 👍
my GOD thank you. ive been looking through stuff for so long trying to find how to draw a PERFECT cube/perfect square. everyone keeps saying stuff like "make an arbitrary line here" or "guess" etc. i don't WANT to guess. i wanted to know exact! so thanks for this video.
where did you learn this technique? do you have any info on where i can find mathematical proof or something that this is truly a perfect cube?
It's basic high school geometry as long as you keep in mind that a drawing in linear perspective is just a projection. As far as I can tell, he made the assumption of the center of vision being the blue line's intersection with the purple line. The length of the blue line is the distance you are away from the drawing for it to truly represent a cube. The bottom of it represents your eye if it was rotated to be placed on the drawing.
Then from there, it's just dividing the angle into two so you can find the vp of the diagonal line represented by the orange line. The problem of where it cuts on the yellow line... imagine that your eye is a laser pointer. It shoots out a line to the left vp and that same length is extended to the right horizontally, forming a triangle. This same triangle is reflected in the triangle created by the blue, red and yellow lines. And the length in the drawing is assured to be the same because we made the purple line and the black line the same length. Suppose we only used half the purple length, then we should get only half the relevant length.
The final step is to just rotate the length on the yellow line to vertical. Since this is two point perspective, it's just a length that's parallel to the picture plane. So we simply rotate it.
There's a site called handprint: perspective that gives out free info on this in some depth. Texts on optics also outline some of the basic important information that lets you deduce things on your own and even come up with your own preferred methods.
damn same here!!.I have been searching for the answer for such a long time. I could not even find it the Scott Robertson's book. Well I found the solution... God help you man and you may succeed
One of the best videos I"ve seen on the matter. It's surprising how difficult something as seemingly simple as a perfect cube really is in perspective
I just need to echo what others have said here. THANK YOU! This seems so basic and necessary yet it's not covered in any of the books I've read. Thank you very much sir, you've done the world a great service.
If you tilt your head and take the right/left vanishing point as a vanishing point for one point perspective, you will find that this is also a 'how to draw perfect square and cube in one point perspective' as well. I have been thinking about this problem for a long time.Thank you Sycra, you solved two of my problems at once!
Thanks, man, I just got a pretty rad perspective book that explained ALMOST everything I'd ever need to know, except for this. I appreciate your technical videos, please keep it up!
Awesome, been having real problems with this for years, thank you so much.
Thank you so much! This is exactly what I needed!
Thank you, this was exactly the answer I was looking for.
I've been trying to find this for a long time. Some of the best perspective books don't teach this.
Consistency on two perpendicular axes and not the third dimension makes a great deal of your work based on guesses.
I don't know WTF that guy is talking about saying this isn't useful in "exact drawings" without this, it's nowhere near exact, leaving you to use the "objects cross the horizon at this point in their proportion" system (horizon crosses all characters of similar height at the same body part/area.) which is absolutely worthless unless you are comparing two of the same object.
(Even then, it's easier/faster to just take that character's height back to the horizon.)
The fact that the guy says he cant make rectangles shows he has missed the point ENTIRELY: consistent dimensions on all axes. There is no set dimension/proportion for a rectangle, so how could we
develop a consistent system?
Anyway, I was very close to getting it on my own, I just didn't figure out the last step. I was pretty sure that taking the outside of the perspective grid and rotating it to be horizontal was the key.
Thanks for showing this.
did you check How To Draw by scott robertson? he's awesome.
+picosdrivethru yes, I have how to draw and how to render. Both very good.
Scott Robertson is fantastic, and so is his book, but his method for drawing squares is not precise. He relies on estimating the minor axis position, then drawing ellipses and adjusting until its right. Works fine for digital, but there’s tools for that. On paper, it’s waaaay too messy.
yeah 1 page and his illustration is as big as my thumb wtf
@@jvedra9041 what book you suggest
Thanks so much! Now I can use this as a 3d measurement tool in my perspective!
Thanks so much, love your stuff :D
I needed it and this is insane thank you
Thank you so much for this!!
Great tutorial, very informative.
Thank you for the information.
In 6:20 you can also construct a circle where the orange dots mark the diameter and the yellow point is simply the intersetcion of the circle and the blue line.
Useful if you have a compass instead of a triangle.
I've been looking for a good video on setting the diagonal vanishing and station point for photoshop for a while. Thank you
no other tutorial or famous book could help me. THANKS BIG TIME!
Great video, thanks!
Thank you so much for making this! i've been wondering for a long time and i couldnt find a way.... it seems very time consuming tho... might aswell eyeball things if they arnt the main focal point or something... im probably going to use this someday tho! Thanks again!
Pro tip: use the Alt key while scaling to scale around the anchor point, instead of scaling then moving then scaling, etc..
Very nice perspective tutorial!
Is it correct that you wouldn't need the 2nd triangle if you just divided the first big triangle in half to begin with? Or is there a difference? When I tried this on my own, dividing the big triangle achieved the same purpose and afforded me to skip the later step with the smaller triangle.
yes. there isn't a difference.
Thanks man really great :)
Great video, thanks...
Ops, sorry for the sudden inarticulate video response. I'm watching your videos for a long time and some time ago I finished working on the perspective tool and I thought it could be helpful to someone. I understand that it doesn't apply to this specific video because it's not about making the grids, but I'm so excited about the fact that I finished it that I'm not responsible for that I'm doing!
Cheers and thank you for your videos!
would it not be easier to run a horizongal linr from thepoint of the right corner?
This is great, and very informative.
However, there are some steps for which I could not figure the underlying geometrical justification. The way you split angles in two equal parts is quite clear, for instance, but as for the lengths estimations, I failed to guess what the underlying mathematical property was.
Any clue on that ?
Thanks a lot for the tutorial in all cases.
So much work.
I love the Borg Cube at the end :p
Thank you, man. :)
Great tutorial. Can you please make a tutorial on how to tilt a cube in one and two point perspective?
i cheered and clapped at 16:29 😂 good job!
nice video, and important, difficult to find a serious explanation like this.
A pity we need vanishing points so the cube gets so small
thank you very much!
This was very interesting
Worth it.
I think what you are doing using this system is to extend the squares' perspective to just below the observer, that square would not be distorted by perspective and therefore have a 90-degree corner and a 45-degree to the opposite corner.
White noise in the background makes me feel I'm in some kind of perspective homework horror movie. All the same, thank you so much, really helpful.
Cool!
17:36 I SAW THAT!
thank you!
Nice video, pretty much what I was looking for. Does anyone have a link to the mathematics behind all this? I'd like to really understand it.
great, thanks very helpfull
Thanks, man. :)
I have been looking for how to do this for quite a while, thanks! I do have a further question though (I am always curious). I understand for the square you are finding the diagonal VP for the square, but do you know what the vertical line and right angle actually correlate to/represent in perspective? I can't figure it out... maybe the right angle has something to do with 90 degree FOV?
Very usefull! Do you know any tutorial about 3 pp cube or where to fiind it? Thanks
Sur someone’s mentioned this... but... scale plus shift and alt and it will scale from the pivot point wherever it’s placed, staying in proportion, so will scale from that bottom corner...
is there a faster method to at least estimate somewhat accurately how to draw a circle in 2 point for a vehicle concept sketch?
I'd love to see a video explaining horizon lines.
Is it okay to draw any square under the alignment of Station Point? What would change? Because my square doesn't look normal.
It's like you read my mind, Sycra.
Thanks for the video! The effect is very good and realistic.
I don't want to destroy the magic of your construction, but from a purely geometric viewpoint, it is not exact. It suffices to take one of the vanishing points very far (for example to the left) to get a result which becomes more and more absurd. The answer of the question "how to draw a perfect square" is unfortunately that every quadrilaterial can be the image of a square! If you have a given position of a square in space and a plane to paint on, of course you can draw it, but only from the vanishing points and an edge, you can't get the square.
Thanks for sharing, I’d love to know why that works though...
Chapter 4 and 5 have the answers for you:
pi.math.cornell.edu/~web4520/
First part with 90 and 45 helps you get the diagonal vanishing point which gives you where the diagonal of the cube will end and then the last side of the square . For the second part .. I’ll have to watch again :)
thank u so much, subscribing and liking
Could you please explain why, at 17.38, the length of the VP to Stationary Point gives the length of the VP to the Measuring Point. I understand how you do it; but why...?
Cool video, i personally prefer starting with the station point so you don't have to reverse engineer and line up the station point from the vp's. Also this is so much easier to draw this on paper and scan it in and paint on top if it (i know this is only for educational purposes).
Can you do a video about drawing/sketching people sitting?
In school, they taught me to draw a diagonal line from the corner and in-between the two furthest corners, wedging the face of the square in exact halves, that way I would get the distance and the exact point where to "close" the square. Hence, making it a perfect square.
Is anybody using this technique as well?
Good tutorial
But how often you so meticulously plan and calculate perspective in your drawings, when you are working on some pic?
Most artists don't start every drawing that do by planning all this out every time...they just have a good understanding of it...and use the eye instead
you didn't explain how to find the angle you made by splitting the 45 degree angle in half using traditional media. I can't draw a physical line on my acrylic 45-45-90 triangle. So how do I find that mystery angle to finish making the square if i'm just using a pencil and paper?
Draw away from the right angle to create 2 lines, shown at ~9:12. Draw a line up from there crossing the X mark and touching the horizon.
I think where you are getting confused is where you say "splitting the 45 degree angle in half" - the angle in question is actually a 90 degree angle. You are splitting that angle in half at the 45 degree mark. You can do that with a 45-45-90 triangle by laying the longest side against either line of the 90 degree angle and matching the point of the acrylic triangle to the meeting point of the 90 degree angle.
Man, I wish you could've zoomed out so we could see which tools you are using. It gets more than "tricky" after you start to use your crazy binds and moving anchors.
please do one on curvi-linear perspective eventually please D=
When the vertical(up and down) edges of the box also converge to a vanishing point.
How can I draw prespective for flat objects that are front on from real life
Any example please I cant find anything brother
Like a desktop
Thanksss
Is there a similar method for an object in one-point perspective, or is it impossible? Placing the first right-angle seems to have infinite possible solutions.
Hi and thanks! Good video, but something is missing... The construction is correct if and ONLY if, the principal point is where the blue vertical line intersects the horizen point, e.g. if only if the line between the observers footpoint and the closest corner of the square is perpendicular to the picture plane.
I would like to understand this. I'm taking long enough to understand this method to then realize its "only" correct in certain circumstances.
It's not a must but it does help.
This video took me an entire day to finish, what does that say about my productivity?
I wish that you would write a hardcover book or illustrated e-book about using these kinds of formulas to draw geometric shapes (and lights and shadows) in perspective accurately. I would be willing to drop a couple hundred dollars on a book that taught all of these things (and I'm not rich and I am usually frugal!), because when you are drawing with a pencil and paper it can be very difficult to find google search results that cover this level of accuracy in a way that's accessible to a determined hobbyist like myself. Thank you for showing this.
I know a certain animation teacher who won't teach you anything else until you master this. -_-
I've gone to University and they never taught me this. Are there any other resources that teach these principles in a different way? This video is too complicated.
This does not work if the cube is moved off the Station point (SP), it will only result in getting a rectangular shape which is very tall (in Cone of vision).
Basically you have to use Circle Theorems in order to be able to put it in different places in space, but where is the cone of vision? Also a better way to determining the lengths of the cube is by using a compass on both vanishing points (2 circles) to Station point and where it intersects the horizon line are the 2 points which you can use to help build the cube, etc. I know this video is old but for a guy who is worried about giving out the right details in his tutorials he should have mentioned the concepts around it and made more examples for people to grasp the varity of the technique (make a fast speed up version in the end showing results in different spaces the cube is set in).
I struggle when the vanishing point is off the page. Any advice ?
More like this video! And when I say that I mean more advanced =3
I know of a trick similar to this, but you can control exact lengths in my version. Making it possible to also make rectangles instead of squares.
In this one you just draw a cube without knowing the actual size. Nice to draw a cube, but not usefull in exact drawings.
Hey Rob, can you explain what is your trick exactly?
He sort of did a long time ago(pre-audible narration years).
Sycra do you know of any books that teach these type of drafting or technical drawing techniques, and maybe explain why it works? It's a real shame but you can't find to many books on detailed perspective. I don't think artists realize how important knowing this stuff can help their craft.
Comment is kinda late but whatever. If you really want to get better at perspective, I would recommend Scott Robertson's book - How to Draw: Drawing and sketching objects and environments from your imagination (long ass title). Ive seen quite a few books and videos in my days and they were all pretty shit. This is honestly the only perspective book I can recommend.
+7justice21 Scott's book doesnt show how to construct this, thats why i came here.. little disappointed by the book :/
Aesome vid ;)
I wish you could explain it mathematically. But, still, nice work!
If you work traditionally, for the love of Dionysus, use a compass and Thales' theorem.
Ily
Wouldn't it be faster to just divide the original purple triangle into two, instead of making a new one, thus skipping a step?
Actually thought I would just see what your video was about . But I guess I won't bother since I don't know 2 point perspective . Thanks for the heads up , I'll just skip it .
You should show them how to use ellipses to create perfect cubes, takes a fraction on the time.
Bob~, I need to use the computer.
How do we know that this method results in a cube and not just a box?
Because of geometry/math
@@Tha_Pencil The logic used to derive the square and the cube seems arbitrary.
Having said that, it seems to me that if a cube doesn't appear quite right, it may not be because it's not actually a cube, but because the Focal Length of the camera makes it appear distorted.
Thanks! I've always wondered how to do that! But still, you should make a briefer video because it's too long to get to the point.
I'm not saying this is a bad video, but it could use some editing to make it a bit easier to digest. The amount of redrawing of lines and hearing "Now what I'm going to do..."followed by a pause(which I understand is time used to click on the next tool or adjust things) adds a lot of time. Maybe make the 45 and 90 degree tools at the beginning so it doesn't add a lesson within a lesson and detract from the workflow.
Thanks for doing this, as you said I have never seen a video on this.
very nice i love u
What about 3 point?
I did a very similar tutorial in March 2013; yet, mine was done in illustrator, tackles creating it using the front edge first, and it tells you the theory behind why the right angle ruler trick, which is used in this video, works.
Where can i find this video. I need reasoning. I hate being showed how to do it and handed a "trust me it works"
m.ruclips.net/video/OB3UEpxFlj8/видео.html
Just saw this; included them link above.
how to draw the same in 3 point?)
Never seen this technique before (in books anyways)...
Borg Cube !!
So you're telling me I should just create perfect squares in a 3d software and trace them? Duly noted!
i wish their was a simpler way
Gave it a try (deviantart): fav.me / d6jmjbo (get rid of the spaces)
Gimp is pretty awkward when it comes to angles and rotation, but it's capable.
Wonder what Mathimatical theory is behind this.
Projective geometry.