perspective - related geometry..

[savon599]

PM me bruh..I got something that will give you a better perspective on perspective.

[Symson]

PM me bruh..I got something that will give you a better perspective on perspective.

How about sharing with everyone?

[CyberLord]

Geometry says that parallel lines are lines that never meet.

Correction: Euclidean geometry says that two lines are parallel if and only if they lie in the same plane and do not intersect. There are many geometries where the parallel postulate is changed or done away with entirely. Google Lobachevskyan or Riemannian geometries for examples. I may have miss-spelled those names.

What you need is Ernest Norling's perfectly named "Perspective Made Easy."

Outstanding book. I love it for its simplicity.

I'm looking through it right now and, beyond the definitions of circles and squares, I can't find any geometry anywhere

HUH?
Step Fifteen: Dividing a Surface in Perspective. That's geometry! The proofs are simple and anything but elegant, but that is geometry.

[CyberLord]

I'd appreciate some elaboration on this when you've the time.


as in "composition"?
that intrigues me.

Pre-calculus or trigonometry primarily is devoted to two things:
If given the equation, find the graph,
If given the graph, find the equation.
You start out with the basic equations for lines and follow up with the rise and fall of the line, the x and y intercepts and other things such as distance. You then proceed to the equation for the circle which is not too interesting because it is a special case of the ellipse. Ellipses are cool. Mathematically they are just graphs. To the artist in me they are circles in perspective!
Later you get to the trigonometric functions and start to experience lines that never end and determining the angle at any given point along that function. There's polar and cylindrical coordinate systems. All kinds of stuff that is really cool. You get to actually draw these things for homework! When I took these classes (many years ago than I like to admit) I used to draw my functions with different colors. Everybody appreciated the look of my homework, but I think they thought I put too much into it.
Anyway, you have to experience it. I don't have the words to describe what a joy it is to combine art with mathematics. Maybe it's because I grew during the age of "Op-Art".

[Whune]

Pre-calculus or trigonometry primarily is devoted to two things:
If given the equation, find the graph,
If given the graph, find the equation.
You start out with the basic equations for lines and follow up with the rise and fall of the line, the x and y intercepts and other things such as distance. You then proceed to the equation for the circle which is not too interesting because it is a special case of the ellipse. Ellipses are cool. Mathematically they are just graphs. To the artist in me they are circles in perspective!
Later you get to the trigonometric functions and start to experience lines that never end and determining the angle at any given point along that function. There's polar and cylindrical coordinate systems. All kinds of stuff that is really cool. You get to actually draw these things for homework! When I took these classes (many years ago than I like to admit) I used to draw my functions with different colors. Everybody appreciated the look of my homework, but I think they thought I put too much into it.
Anyway, you have to experience it. I don't have the words to describe what a joy it is to combine art with mathematics. Maybe it's because I grew during the age of "Op-Art".

crap onna stick

definitely longer term goal
thanks much for elaborating though
^_^

[Whune]

PM me bruh..I got something that will give you a better perspective on perspective.

lol
I feel like a clueless suburbanite trying to score some drugs

[Smitty]

Correction: Euclidean geometry says that two lines are parallel if and only if ...

Technically true, but, let's not get lost in geek-speak semantics. The geometry required for perspective is largely the nursery school variety. Square peg, square hole. Round peg, round hole. Circle fits in a square as a ball fits in a box. In 50+ years of perspective work (with the first 5-6 being unaware of the word geometry let alone the practice) I've never once pondered the result of A²+B². ASA or SAS... volume of a cylinder... who cares?

Will geometry help? ABSOLUTELY! Should he learn some? I vote yes. Outside of being locked up with every girl in a five mile radius, geometry was the most fun I had in school. I'm talkin' Fun, Fun, Fun whether Daddy takes the T-Bird or not. But, let's remember the true point of the thread; Whune, our Brother-in-Ink, is feeling unnecessarily anxious. To which I say, Whune, I started learning perspective at the age of 5, I didn't start geometry until I was 15. If you have a 5 year olds knowledge of geometry, you're good to go.

[Inkthinker]

I never did pre-calc or trig. I barely know what Euclidean geometry is. None of that is necessary for learning the specifics of geometry as related to perspective (they may help, but they're not pre-reqs).

Just focus on the specialities of perspective. Don't sweat the rest of it. Hell, I wouldn't even sweat the issue of numbers, a lot of it becomes a matter of hooking up things visually (this point connect to that point, etc. The actual calculations don't enter into it).

[CyberLord]

I never did pre-calc or trig. I barely know what Euclidean geometry is. None of that is necessary for learning the specifics of geometry as related to perspective (they may help, but they're not pre-reqs).

Just focus on the specialities of perspective. Don't sweat the rest of it. Hell, I wouldn't even sweat the issue of numbers, a lot of it becomes a matter of hooking up things visually (this point connect to that point, etc. The actual calculations don't enter into it).

...and just so everyone knows that was not a typo, 95% of the time I agree with you, BUT...

Hypothetical situation. You have a story that is set in the past before digital time-pieces. Time is important so you have to draw a clock multiple times. Your first drawing of that clock will probably be face-on when it is a circle. You have to divide the face of the clock into twelve sections. Trivial example, but you now have to divide 360 by 12 and then get out your protractor. If the clock is not an important part of the story you can just eye-ball it, but if it is important you have to make the calculation.
Yes this is a trivial example. Yes, MOST of the time I just eye-ball it. But there are rare times that I have had to know when triangles are congruent and what that means when I try to divide a space.

[CyberLord]

crap onna stick

definitely longer term goal
thanks much for elaborating though
^_^

Whune:
Time will pass whether you and I like it or not.
In June 2017 will you look back on this and wonder what your life would be like if you had just spent a LITTLE time with geometry every other day?