Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [3d]

For things related to 3 dimensions. For geometry of 3-dimensional solids, please use instead (solid-geometry). For non-planar geometry, but otherwise agnostic of dimensions, perhaps (euclidean-geometry) or (analytic-geometry) should also be considered.

This tag is for things related to 3-dimensions. For geometry of 3-dimensional solids, please use instead . For non-planar geometry, but otherwise agnostic of dimensions, perhaps or should also be considered.

Learn more about 3-dimensional space here.

3724 questions
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Find Rotation Matrix to align Basis vectors to world coordinate

As shown in the attached picture, 4 Points are plotted in the world frame. 3 of them (green colored) defines my plane. With the given 3 green points I can calculate the nominal axis for my plane. My expectation is to take one of the 3 green points…
sulabh
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3d rendering: transform to be applied to a screen Rect to match the perspective projection done by a arbitrary camera in an arbitrary 3d world.

I’m using a 3d framework that allows me to draw 3d things into a canvas. I can successfully render 3d objects by drawing them on a 2d canvas using the camera perspective matrix, view matrix and the 3d objects model matrixes. The world space has its…
smike
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Connecting points of triangles in 3D space (help needed)

First time caller here and let me say first, I am not a mathematician, but a science / management writer instead. Today I am very interested in this article, here on the stack: Spreading points over a triangle plane in 3D space enter image…
Hero Jig
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How to make an object face another object in 3D space?

I have a question that maybe it is an easy calculation but I am a motion graphic designer not a Math guy so... here it goes. I have a 3D scene with a perspective camera in it. I want to make a 2D object in the scene to rotate on Y axis to always…
Brillll
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Number of regions in space from planes through origin

I've seen that the cake numbers give the largest number of regions that can be created by cutting 3-D space by N planes. I have a variation on that question. How many regions can be created by N planes that all pass through the origin (subspaces)?…
Gene
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Area of curve trace by a function which satisfies a given condition.

If point $P(a,b,c)$ satisfies $a-b+c=0$ and $a^2+b^2+c^2=4$. The point $P$ traces a plane figure whose area is $A$. Then $\lfloor A\rfloor $ is solution I try Let an equation of plane is $ax+by+cz+d=0$. Now distance of point $P(a,b,c)$ from origin…
jacky
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How to Find the value of Z, Using the X and Y, between a three point plane

I would like to know how to work out the value $z$, using $x$ and $y$ values, between 3 points. For example if point A is (2,4,0), B is (10,3,3) and C is (2,10,1) D is (6,5,?) the ? being the unknown $z$ value i want to find Thank you
user532250
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Finding equation of plane

Could anyone please tell me a relatively short approach on how to find equation of a plane if I'm given it is at equal distance from 2 given lines.... I tried finding the the equation of the line perpendicular to both the lines and hence the…
rohit_r
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what is the surface representing $a/x+b/y+c/z=0$?

Can anybody fully describe the three dimensional surface represented by the equation $a/x+b/y+c/z=0$ where $a,b,c$ are real numbers?
Shahul Hameed
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Measuring Side Lengths in 3D Space of a Shape

When measuring the side length in 3D space, For the lengthside measurement, between point a (x,y,z) and b (x1,x2,x3) how do you calculate the side length. Is it a -b or b - a?
sawreals2
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Spining a line $\frac{x-1}{0}=\frac{y}{3}=\frac{z}{2}$ aroung $z$ axis

This time I have an exercise of geometry. I need to write an equation of surface which is obtained spining a line $$\frac{x-1}{0}=\frac{y}{3}=\frac{z}{2}$$ aroung $z$ axis. Thank you!
Karagum
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Finding an approximate position of a point given a set of distances to other unknown positioned points in 3D space.

I know it sounds absurd, but say we can move the point $X$ (the one we want to get the location of) and get as many measurements as we can to the other reference points. Is it theoretically possible to create a 3D model of the (approximate) relative…
Gonzalo
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Shortest distance between two skew lines

I was studying elementary 3D geometry in that I read about shortest distance between two skew lines but in that the fact was used that the shortest distance between two skew lines is given by any line joining them multiplied by $\cos\theta$ Where…
super saiyan
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Equation of Sides of Isosceles triangle in 3D

The line $\frac{x+6}{5}=\frac{y+10}{3}=\frac{z+14}{8}$is the hypotenuse of an isosceles right angled triangle whose opposite vertex is $(7, 2, 4)$. Find the equation of the remaining sides. My approach…
Samar Imam Zaidi
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3d finding perpendicular points ...

I have 3 (cartesian) points: v0, v1 and v2 whose values are shown below: I need to calculate the points p0, p1 and p2 given that d may be any distance perpendicular from the midpoint of any two vertices. For example, p0 is found by taking the…
bdcoder
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