Im doing a project for math. i’ll just explain my problem as well as possible. Imaging gabriel’s horn in 3 dimensions. if i take two points that are both on the surface of gabriel’s horn. how do i calculate the length of that curve between the two points. Assuming the curve also goes perfectly along the surface. One idea i got was to create a plane which cuts perfectly parallel to the curve between the two points creating a perfect projection of the curve in 2d. But how do i create the parametric equations for the new x and y to solve for the arc length? sorry for the long explanation
If I were to draw just some random squiggles on an xy-plane, could those squiggles be turned into a function of the form f(x) that I could use to get the exact value or values of y at any arbitrary x.
And I mean any squiggles or scribbles, no matter how big or how complicated they seem to be. They could be smooth at one value, and then be all jagged and straight at another.
Might be an idiotic sounding question to people with a more profound understanding of maths, but I could not figure it out on my own and I've been thinking about it for a while now.
I'm trying to create a road, and I drew it using a path. Then I created a slice of road and arrayed it to match the path length. So far so good. But after I add a curve modifier to the slice, and select the path as the reference object, the slice vanishes. I have no idea why. I tried it using similar objects which are the same shape but much smaller, and it worked. So why doesn't it work with larger ones?
I've shared the file here, if anyone can help figure out what's wrong.
https://1drv.ms/u/s!AlCUz2HsoRb1htYkGl12DaCm0t7xhg?e=38PyEy
https://preview.redd.it/xxsncg7t6kq71.png?width=1345&format=png&auto=webp&s=f70e4aee4c2ffeee818ab0ba40b2b02159d883cb
Hi all! I forgot this subreddit existed. Maybe you can help me with a question that's been bothering me for a month...
It's a scene where the bad guys are bearing down on the good guys, and just when all seems lost, one of the good guys suddenly shows up with a rocket launcher and a badass "You're f'd now!" attitude. He shoots the rocket launcher, but just before hitting the bad guys, it turns out to be heat seeking and curves upward toward an aircraft in the sky above, blowing up the unsuspecting plane. Everybody pauses a moment to register what just happened. It's a funny moment, and I feel like it came from a movie or show with a similar vibe to The Cabin in the Woods - something with subtle dark humor.
My friend and I are racking our brains but for the life of us can't remember what this is from. Any ideas?
Thanks!
This post is a follow-up to this request.
If you are familiar with conic sections, then you must know that there are two ways for defining them
According to wiki,
>A conic is the curve obtained as the intersection of a plane, called the cutting plane, with the surface of a double cone
>
>Alternatively, one can define a conic section purely in terms of plane geometry: it is the locus of all points P whose distance to a fixed point F (called the focus) is a constant multiple (called the eccentricity e) of the distance from P to a fixed line L (called the directrix).
But if you're like me, you must have wondered, what is the connection between these two definitions?
This relation can be beautifully showed using Dandelin spheres.
Grant previously did a wonderful video showing Why slicing a cone gives an ellipse
But, that video doesn't talk anything about eccentricity!
I mean, when I first learned about conic sections, the most fascinating thing to me was that when we slice a cone parallel to its slant length, then the distance of all points on the curve obtained, from a fixed point is equal to the distance from a fixed line!
And even in general, I was amused that why is the ratio of all points on the curve from a fixed point to a fixed line, always a constant?
So, what I wanted to show is why that eccentricity is always constant when we slice a fixed cone using a fixed plane.
Refer to this illustration on geogebra (credit: Matthias Hornof)
If you had already watched Grant's this video which I talked about earlier, you could already tell a few things as, the point at which the blue sphere touches the ellipse, is the focus of the ellipse.
Now, the new thing that I want you to know is that the plane of the circle made by the blue sphere on the cone, meets the plane of the ellipse at its direc
... keep reading on reddit ➡
I am trying to make a simple 3d sketch. A line with a curve on the end. I can constrain the straight line to the and get it fully defined, however i am struggling to fully define the 3d curve. I can add in the radius and length of the curve, but it is still free to move around into other planes. Can this be constrained. Thanks
Please see attached image.
https://preview.redd.it/noikiv5dh3f61.png?width=1152&format=png&auto=webp&s=4c78fd86054a801263aca3662265c6990a64f477
