What is 3d: Definition and 1000 Discussions

In 3D computer graphics, 3D modeling is the process of developing a mathematical coordinate-based representation of any surface of an object (inanimate or living) in three dimensions via specialized software.Three-dimensional (3D) models represent a physical body using a collection of points in 3D space, connected by various geometric entities such as triangles, lines, curved surfaces, etc. Being a collection of data (points and other information), 3D models can be created manually, algorithmically (procedural modeling), or by scanning. Their surfaces may be further defined with texture mapping.

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  1. N

    Estimating 3d transformation of two triangles

    I have two triangles in 3d. I need to calculate transformation matrix(3X3) between two triangles in 3D. 1)How can I calculate the transformation matrix(rigid) while fixing one of the points to the origin(to get rid of the translation part)? 2)How does it affect if the deformation is non rigid?
  2. A

    Are the orbitals circular or spherical or parabolic? Are they 3D?

    Are the orbitals circular or spherical or parabolic?? Are they 3D? Are the orbitals circular or spherical or parabolic?? Are they 3D?
  3. Drakkith

    3D Theater Versions: Exploring the Difference

    Why are there two versions of 3d in the theaters? What's the difference between them?
  4. N

    3D Printer Resin's Chemical Makeup?

    Does anyone know what compounds make up the resin used by resin type 3D printers? I need to know if it could possible react with some hexane, toluene, and other chemical solutions for sure, though I believe the resin to be fairly inert chemically. Thanks PF.
  5. S

    Need help with 3D system with applied forces and moment

    Homework Statement The system is a rectangular box with dimensions of 3 ft x 4 ft x 2 ft. There's an applied couple moment of 600 lb-ft on the x-z plane rotating positively. The moment is 2 ft above the x-y plane in the positive z direction. Applied force 1 is 450 lbs in the negative x...
  6. C

    Mathematica How to label points in 3D Scatter Plot (Mathematica)

    Hi, I really need some help here. Right now I am plotting points on a 3D Scatter plot chart in Mathematica. I want to assign each of these points with a value which will be the label. Basically each point has 4 variable in the parameter. Its x,y,z cartesian coordinate position and the last...
  7. F

    Help with 3D Trig Problems please

    From my Math Textbook Suppose Romeo is serenading Juliet while she is on her balcony. Romeo is facing north and sees the balcony at an angle of elevation of 20 degrees. Paris is observing the situation and is facing west. Paris sees the balcony at an angle of elevation of 18 degrees. Romeo and...
  8. M

    Exploring the Mystery of 3D Coordinates: A= (X, Y, Z, 1)

    hello EveryBody, In the 3D Coordinates I always find 4 parameters instead of 3. A = (X, Y, Z, 1) I wonder why? thank you.
  9. Y

    Stuck on a 3D coordinate geometry problem

    Dear all, I am a medical doctor stuck with a mathematics problem. I have taken a project to map the 3D movement of a particular bone and describe its motion. My maths knowledge is a bit lacking. However using logic I felt that I would need to track 3 constant markers on the particular bone...
  10. B

    Finding the Volume Inside Two 3D Surfaces Using Integration Techniques

    Homework Statement Find the volume of the solid inside the surfaces x^2+y^2+z^2=1 and z=x^2+y^2Homework Equations With x=0: z=y^2 ; z=√(1-y^2) or y as a function of z then gives: y=√z ; y=√(z^2-1)The Attempt at a Solution First, I attempted to sketch a cross section of the region by setting...
  11. L

    How to rotate a 3D complex vector?

    Hello, I have a 3D complex vector k=[k1,k2,k3], and k1, k2, k3 are complex numbers respectively. Now, I want to rotate k to a new vector t=[1 0 0]. However, I do not know the mathematical expression of rotation matrix. What is the difference between rotation in real domain and rotation in...
  12. matqkks

    Plot 3D Graphs & Vectors: Software & Solutions

    Is there any good software which plots 3d graphs and vectors. I just want to plot linear 3d graphs and vectors in 3d. I don't mind paying for this but it should be reliable and easy to use.
  13. A

    Mathematica Plot 2d image from 3D data Mathematica

    hello guys, I have a CSV file with hyuge set of data devided into 3 cols. Y position X position and corresponding intensity values. I want to plot the image , my thesis is laser- microscopy. so a 2D plot ( density plot ) based on these values. The following is what I have tried so...
  14. Ventrella

    Recursive 3D Tiling of Rhombic Dodecahedra

    I have a question about rhombic dodecahedra - polyhedra which can be tiled indefinitely, and which correspond to the closest packing of spheres. A single rhombic dodecahedron can be surrounded by 12 rhombic dodecahedra, making a tiling of 13 (having no gaps or holes or cracks). This creates a...
  15. S

    Magnetic Field near a curving infinite wire in 3d space

    Homework Statement Problem as given: A three-dimensional wire of infinite length carries a current I0 starting at (-∞,0,0) along a straight line to (0,0,0), bending and traveling along a straight line to (0,1,0), then bending and traveling to (0,1,1) and finally bending and traveling out to...
  16. J

    3D spherical vs 2D radial waves

    The Green's functions for a 3d wave are like δ(r - ct)/r -- so if you have static source at the origin that is turned on at t=0, you get an expanding ball around it of radius ct, with strength 1/r. If you look just at the XY plane, you see an expanding disc of value 1/r. Similarly, if you...
  17. K

    What's it called when a 3D shape can be made of 2D surfaces of all the same size

    What's it called when a 3D shape can be made of 2D surfaces of all the same shape and dimensions? To make a cube, I can use 6 4-sided-squares (of course they're 4 sided) To make a pyramid (3 sided), I can use 4 3-sided-triangles I can do this with pentagon as well (i don't know what the...
  18. S

    3d trajectory of system of wheels

    Hello! I tried to develop equations of motion of system of wheels, where the first one with radius of r is rotated with some angular velocity v, the center of the second wheel is connected with the first on its perimeter and its plane of rotation is perpendicular to the plane of rotation of...
  19. Y

    Kinematics of Rigid Bodies in 3D

    Homework Statement Problem 15.18: I've defined the positive J (fixed) axis along the pole pointing upwards and the positive X (fixed) axis going to the right, with both centered at the point of contact between the hoop and the pole, which I will refer to as point O. The rotating axes...
  20. fluidistic

    Hamiltonian operator in 3d

    If I consider the problem of for example the hydrogen atom. I.e. a central force problem with an effective potential V(r) that depends only of r, the distance between the positively charged nucleous and the negatively charged electron. In the Schrödinger's equation, one considers the...
  21. S

    MHB 3d plotting software for vectors

    does anyone know an easy to use 3d plotting software with vectors? i have been using maple for some things but 3d plotting vectors and transformations is really slow in maple. i really like geogebra but it can only do 2d vectors. any suggestions?
  22. S

    Plotting 3D graphs for a script involving big loop

    I want to plot a 3D graph. A solid graph and a wireframe mesh graph. What are the different ways to do it in this script. The variables i want to be plotted in this script are 'pic' 'TSFC' 'NonFs'. Dont mind the working, everything is correct. The only matter of concern is the 3d graph and...
  23. J

    Help with simulation in ANSYS Maxwell, 3D electromagnetism simulator

    Hello, I'm currently conducting a very serious high school research project titled: Maximizing Energy Efficiency of a Linear Electromagnetic Accelerator I have recently been bestowed with a temporary license for a very advanced 3-dimensional electromagnetism simulator that should allow me...
  24. D

    3D Transformation of Rectangle to a Plane

    Let's say you have four points that define a rectangle in the xy plane centered at the origin (with the x,y axes bisecting the sides). How can you transform these points so that the rectangle lies in an arbitrary plane (defined by a point p and a normal vector n) so it is centered about point p...
  25. M

    Find the mass of the surface of a triangel in 3d space

    Homework Statement Find the mass of the surface of the triangle with vertice (2,0,0), (0,2,0), (0,0,1) if the density is 4xz Homework Equations The Attempt at a Solution I know I just need to take the integral of 4xy in the region of the triangle, but how do i set up the integral...
  26. C

    MATLAB Godelproof Matlab 3D Plot question

    The following is FreeMat code, but it should get you close enough in pure Matlab: --> x=[0:0.1:1]; --> [X,Y]=meshgrid(x); --> Z=X.*(X>=Y)+Y.*(X<Y); --> surf(X,Y,Z); CB
  27. H

    MATLAB Matlab simulink + control systems + 3D model how?

    I am fairly new with simulink and only went through a couple of tutorials on how to use it. but i am looking to do some control system design with a 3D model. I know i have lots to learn so i would like to get some directions as to where i should go to reach my goal. I am looking to...
  28. E

    Deriving 3D Newton-Euler Equations for Inverted Telescopic Pendulum Model

    Homework Statement I have to derive Newton euler equations of an inverted telescopic pendulum with two links. I will use this model to simulate biped walking. The leg link is assumed to be massless and it carries the body link. The model at final stage should be 3d. In 3d case the hip namely...
  29. D

    3D printing a gear box, I'm having some problems with the gears getting stuck.

    I'm building a simple 20:1 gearbox prototype with 2 compound gears in a row connecting to a third small gear at the end. My goal is to multiply the rotational speed of the small gear. They are all engaged on a straight line. But for some reason they get stuck most of the time. I'm trying to...
  30. T

    What Are Good Reference Materials for Learning 3D Splines?

    Hey guys girls and thanks in advance (Sorry if this post is in the wrong area) Ive been working with splines in 2D for a little while now and am fluent with the mathematics behind them. I now need to use 3D splines but cannot come across a good reference material to reconstruct them ...
  31. Y

    A difficult (for me) 3d shapes problem

    If I have a cylinder with a radius r and an axis that passes through point b with the direction of vector n, show that its equation can be written in any of the following forms: 1) ||(p-b) X n|| = r 2) (p - b) X n = r.e (where e s ia unit vector orthogonal to n) 3) ||(p-b) - ((p-b).n)n|| =...
  32. M

    2D Fourier of 3D (vector) function - laplace of it?

    Hi, I have a vector function (momentum \vec{p}(x,y,z)=\vec{p}(\vec{r},z) for \vec{r}=(x,y)) and need to transform it, also I use the Fourier transform F(\vec{p})=\int_{-\infty}^{\infty} \int_{-\infty}^{\infty} \vec{p}(\vec{r},z) exp^{i \vec{\chi}\cdot \vec{r}}d\vec{r} and then when I have...
  33. Y

    Equations for 3D Cylinders with Varying Parameters

    If I have a cylinder with a radius r and an axis that passes through point b with the direction of vector n, show that its equation can be written in any of the following forms: 1) |(p-b) X n| = r 2) (p - b) X n = r.e (where e s ia unit vector orthogonal to n) 3) |(p-b) - ((p-b).n).n| = r...
  34. T

    3D Vectors Problem - Find Cross Product

    Homework Statement Given |\vec{a}| = 8, |\vec{b}| = 9 and the angle between vector \vec{a} and \vec{b} is 48° find the cross product, \vec{a} X \vec{b}. Homework Equations Let θ = angle between \vec{a} and \vec{b}. \vec{a} . \vec{b} = ( \vec{x}1 * \vec{x}2 ) + ( \vec{y}1 * \vec{y}2 ) + (...
  35. O

    Solve 3D TISE in Potential Well: Eigenvals/Fns & Normalize

    Homework Statement A particle in a 3D cubical potential well. The walls are Lx, Ly, Lz long. Inside the well, V(x,y,z)=0 when 0<x<Lx, 0<y<Ly, 0<z<Lz. V= ∞ elsewhere. Solve the TISE to find the eigenfunctions and eigenvalues of this potential. And to normalise the wavefunctions. (Hint: look...
  36. G

    Statics: System (3D) in equilibrium - determine unknown variables (h)

    Homework Statement Good day to all. I have been given a problem in statics and a system in equilibrium which in turn is giving me some problems. I have attached in a pdf file the problem context as well as my attempt at a solution. I have done so, because I was experience some problems with...
  37. G

    Writing 4 Quantum Numbers for Electron in 3D Orbital

    what are the different ways to write four quantum numbers that designate an electron in a 3d orbital
  38. F

    Plotting 3d parametric equations in Matlab

    Homework Statement The goal of this exercise is to plot parametric equations so that the image looks like the Agnolotti Pasta shell given in the link below. http://www.nytimes.com/interactive/2012/01/10/science/20120110_pasta.html?ref=science. Homework Equations The relevant...
  39. J

    Visualizing Physics: Looking for a simple 3D drawing program

    Hi guys, I am looking for a simple 3D drawing program, where I could draw a bunch of balls of different colors and maybe some bulky arrows. If I could make a small movie (or a GIF) by making the balls move, that would be a nice extra. What would be the simplest solution? Mathematica...
  40. A

    Calculate 3D Fourier Transform for f(x) = (1 + |x|2)-1 on ℝ3

    Homework Statement Calculate the Fourier transform of f(x) = (1 + |x|2)-1, x\inℝ3 The attempt at a solution As far as I can tell, the integral we are supposed to set up is: Mod note: Fixed your equation. You don't want to mix equation-writing methods. Just stick to LaTeX. $$\int...
  41. C

    Solving 3D Chart Axes Angles Problem with Wikipedia

    Yes, that is my problem. I could never reproduce in computer the scheme I learned in Computer Engineering graduation I am coursing. The way the teachers show and in some books, I never get into that result but I don't know if it is exactly impossible. At this page in wikipedia...
  42. Matt Benesi

    Continuity of real portion of cosine variant of 3d fractals

    By continuity I mean an unbroken fractal. With certain variants, one ends up with sharp gaps in the fractal. mag=({x^2+y^2+z^2})^{n/2} yzmag=\sqrt{y^2+z^2} \theta= n *atan2 \;\;(x + i\;\;yzmag ) \phi = n* atan2\;\; (y + iz) new_x= \cos{(theta)}\;*\;mag new_y=...
  43. D

    How Can the Convolution Theorem Help Prove a Fourier Transform Inequality in 3D?

    Homework Statement Show that |\tilde{I}(\vec{k})|^2\leq CP^2 Where C denotes a constant, Using this inequality: \int f(\vec{r})^*g(\vec{r})\,\text{d}\vec{r}\leq \int f^*f\text{d}\vec{r}\,\int gg^*\text{d}\vec{r} Where k denotes the Fourier transform from r->k(in 3d) R is assumed positive...
  44. B

    Particle in a 3D box (Quantum)

    Homework Statement What are the degeneracies of the first four energy levels for a particle in a 3D box with a=b=1.5c? Homework Equations Exxnynz=h2/8m(nx2/a2+ny2/b2+nz2/c2) For 1st level, the above = 3h2/8m For 2nd level, the above = 6h2/8m For 3rd level, the above = 9h2/8m For 4th level...
  45. B

    Motion equations of a disc rotating freely around its center (3d)

    Homework Statement The system is made of a disc the center of which is pinned to the origin (so the disc cannot translate), and some weights that can be stuck on the disc to make it tilt (weights do not translate on the disc) (see images attached). There is no friction whatsoever. The only...
  46. B

    Motion equations of a disc rotating freely around its center (3d)

    The system is made of a disc the center of which is pinned to the origin (so the disc cannot translate), and some weights that can be stuck on the disc to make it tilt (weights do not translate on the disc) (see images attached). There is no friction whatsoever. The only force is gravitational...
  47. W

    Crank-Nicolson instability in 3D

    I have a perfectly working 2-D finite-difference thermal solver, using an alternating-direction implicit scheme (painfully written in Fortran 90 at my adviser’s insistence), that I have recently extended to 3-D. It is essentially a three step approximation to the Crank-Nicolson equation, which...
  48. B

    3D model with wind tunnel-CFD simulation

    Hello, i am Fluent beginner..im doing thesis about aerodynamics on solar race car.. have to study about its drag and lift coeeficient.. i need help about how to 3D mesh the car and the wind tunnel.. now i have draw the car model as one part and the big square as wind tunnel as another...
  49. T

    2 particles in a 3d corkscrew over surface of a sphere

    Aloha! This is my first post, and I hope that I am posting in the correct area... I need help with a math problem that is beyond my math skills. If anyone can answer it, I'd be very grateful! Here's my problem: Imagine two particles, say "a" and "b" that are traveling (in positive...
  50. M

    Heisenberg Uncertainty principle in 3D

    Hi there, So here's my assignment: ''The velocity of a positron is measured to be: vx=(4.00±0.18)*105 m/s, vy=(0.34±0.12)*105 m/s, vz=(1.41±0.08)*105 m/s. Within what minimum volume was the positron located at the moment the measurement was carried out?'' I think I'm not wrong when I say that...
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