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File: perspective.png (22 KB, 797x638)
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I'm trying to learn perspective but almost no resource I find gives a formal, mathematical approach, which I seek to develop intuition properly.

In this case, I want to rotate this cube by its vertical axis from the angle in red at 45 degrees to the angle in blue, I know where the new diagonal should lie, but I don't know how to keep the scale of the cube consistent, I don't know where to cut the line to get the cube to be the same size but in perspective. Does anyone here know how?

I really don't understand either the reasoning for measuring the distance between a vanishing point and a station point and then drawing it over the horizon. I see it works but I don't know why.
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>>7147785
disregard perspective
aquire shape language
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>>7147785
Perspective actually has nothing to do with foreshortening, it only describes converging lines
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>mathematical approach, which I seek to develop intuition properly.

Correct yourself with 3d models that show the perspective lines.
Arriving at the same result as a 3d model with complex mathematical rules won't improve your instinct, it's completely unrelated to the drawing experience.
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>>7147785
learn to construct in geogebra
https://www.geogebra.org/m/bqt5ghfn
https://www.geogebra.org/m/n6xx9xbg
heres one method, using an upright diagonal to transfer a length from a side axis to the vertical axis, or vice versa.
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>>7147785
that's the wrong approach if you want to develop an intuition
the way to do that is to buy a rubik's cube, and draw it from a shitload of angles from observation
even better if you buy 2, so you can see how drawing one relates to the other when they're in different positions
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i'm going through how to draw for the first time so this might not be right at all, but i took a stab at trying to figure it out. i think some confusion might have come from the ellipse you drew on the base, which you'd be able to find other sides from, but not corners.
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>>7147785
>Hitokaku anon mentally damaged OP.
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>>7147786
>>7147790
>>7147796
>>7147939

You guys are a bunch of niggers. I ask you one thing because I want to do it one way and you come preaching like actual retards that I should not learn shit and eyeball everything. Guess what I have doing all my fucking life, dumbasses. I'm not an idiot who has all the time in the world to waste doing the same fucking cube in trial and error until i decide it looks somewhat like a cube, despite not knowing shit about how deep it's supposed to go.

You're the kind of niggers who would be told to draw a bicycle and you would draw it without pedals because you would say "bruhh you have to eyeball shit, look for bycicle reference, just trace trash, you need a book with bycicles in every single angle". This is why everyone on this board is a talentless hack, this is why all you lazy bastards can put out is Steven Universe-tier fanarts with sausage dicks stuck to them because degenerate porn is the only way to salvage your bullshit. I ask one simple question and you manage to fuck that up. Get the fuck out of here.

>>7147993
>>7147822
Thanks for the help. The two circle method could be a temporary solution, only problem is I yet don't know how to inscribe a cube into a circle in perspective. You can tell ellipses in perspective are not really ellipses, they are conic droplet thingies.
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>>7148006
Great to know that somewhere out there people care about what they do.
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>>7147785
https://www.youtube.com/watch?v=2XF5YuAK63I
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>>7148014
I think this gives me an important clue, I didn't realize I could expand the radius into a cube of its own, thanks.
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>>7148018
>>7148014

Now that I think about it, I can't rely on the radius I drew for the ellipse because the ellipse itself is estimated, its outline is not a true circle.
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>>7148009
not any of those anons but you give off strong ngmi vibes, just give up now
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>>7148028
I will make it as long as I have an approach that works for me. As of now I draw like the anon with the grid paper on >>7148006. I am extremely critical of myself (and others), the only way i can feel I am making progress is to see things done right. That hitotaku guy has the correct mindset, and I will do just as he did. Thanks for posting that picture.
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>>7147785
>I really don't understand either the reasoning for measuring the distance between a vanishing point and a station point and then drawing it over the horizon. I see it works but I don't know why.
anon, you have to view it from top-down to better understand why it works. imagine a circle of arbitrary size around the station point (purple), the measuring point is the vanishing point of a chord (green) that connects a radius (blue) that is parallel to the picture plane with another radius (red) that converges to said vanishing point. it is useful because it lets you convert a known length (because it is flat against the picture plane) to one that converges to a vanishing point.
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>>7148095
picrel might help show why finding the MP is a simple matter of transferring the SP-VP distance to the HL
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>>7148095
>>7148121
I think I get it now. So they make similar triangles. The triangle I make from the station point will have a similar counterpart on the plane. Since I am forming an arc that will have a consistent radius, the radius that I choose will have the chosen length when it intersects with the VP line.

The importance of drawing the MP arc from the station point is to keep the relationship between that VP to the rest, right?
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>>7148143
if you have a drafting compass then an arc/circle is just a convenient way to copy lengths while explicitly indicating the relationship. strictly speaking its not necessary, but might be helpful to not confuse yourself while you are constructing.
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>>7148006
Eric Olsen's lectures
What he's basically saying is the only way to learn things in depth is to pay for it, right?
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>>7148157
no, you can find the same information in other sources
https://www.youtube.com/@trustyourperspective/videos
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Fuck man. I still haven't done it. I still can't understand shit or visualize. I have been bruteforcing quarter of squares into the edge of what should become the new VP, I managed to make the floor of the new one but now I don't know how to build walls from a perspective floor.



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