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. B

    MHB Another field lines of 3D vector functions question

    I am trying to find the field lines of the 3D vector function F(x, y, z) = yi − xj +k. I began by finding dx/dt =y, dy/dt = -x, dz/dt = 1. From here I computed dy/dx = -x/y, and hence y^2 + x^2 = c. For dz/dt = 1, I found that z = t + C, where C is a constant. I am unsure where to go from...
  2. B

    MHB Field lines of 3D vector functions

    My question regards finding the field lines of the 3D vector function F(x,y,z) = yzi + zxj + xyk. I was able to compute them to be at the curves x^2 - y^2 = C and x^2 -z^2 = D, where C and D are constants. From my understanding the field lines will occur at the intersection of these two...
  3. goonking

    Statics in 3D, there must a be faster way to do this.

    Given this, is there a faster way to compute this or must I do 3 separate 3x3 determinants? I can probably use cross product of each term, for example , (2rk) X (Axi) = (-2rAx j) (not forgetting the negative sign for j) next, (2rk) X (Ayj) = (2rAyi) and so on... but that feels too slow as...
  4. Ben Wilson

    I Creating a Discontinuous 3D Function for Quantum Dots

    I have, say, an ellipse in the x-y plane: (x^2/a^2) + (y^2/b^2) = 1 I want a 3d (e.g. z) function where inside the ellipse z=+1, outside z=0; the function is not continuous. so in effect what I'm left with is a large plane where z= 0, and a small ellipse cut out raised to z=1. How do I write...
  5. Thales Costa

    I Plotting and visualizing a 3D plot of a vector function

    Hello, I'm trying to figure out how to plot a certain vector valued function but I'm having a hard time. The problem gives me the following vector valued function: r(u,v) = <u + v, 3 - v, 1 + 4u + 5v> I don't know how to plot this. So far I've tried making a table with some u and v values to...
  6. wolram

    Rebuilding bone with 3D printer

    I thought this was an endearing article and wondered if it could be used for children. http://3dprintingindustry.com/2015/10/22/zimbabwean-man-receives-facial-reconstruction-with-help-from-3d-systems/
  7. P

    3D Harmonic Oscillator - Eigenfunctions and Eigenvalues

    Homework Statement Due to the radial symmetry of the Hamiltonian, H=-(ħ2/2m)∇2+k(x^2+y^2+z^2)/2 it should be possible to express stationary solutions to schrodinger's wave equation as eigenfunctions of the angular momentum operators L2 and Lz, where...
  8. Kara386

    Using the normalisation condition in 3D

    Homework Statement The Hamiltonian for an atom of deuteron is ##\hat{H} = \frac{-\hbar^2 \nabla_R^2}{2M} - \frac{\hbar^2 \nabla^2}{2\mu} - Ae^{\frac{-r}{a}}## Where ##\nabla_R## is the differential operator for the centre of mass co-ordinates ##R = \frac{m_p\vec{r_p} + m_n\vec{r_n}}{M}## and...
  9. A

    How to triangulate two 3d lines

    Hi guys, I am working on an computer vision project. the project uses two cameras to triangulate an object in front of the cameras. Homework Statement Express the object's location in 3d coordinates relative to the cameras. Homework Equations From the software i can get two line equations...
  10. I

    Calculating Expected Values for 3D Harmonic Oscillator Wave Function

    Homework Statement The wave function for the three dimensional oscillator can be written ##\Psi(\mathbf r) = Ce^{-\frac{1}{2}(r/r_0)^2}## where ##C## and ##r_0## are constants and ##r## the distance from the origen. Calculate a) The most probably value for ##r## b) The expected value of ##r##...
  11. RaulTheUCSCSlug

    I Normalizing Constant 3D Infinite Well

    For time independent Schrodinger's equation in 3-D Where Enx,ny,nz=(nx/Lx2+ny/Ly2+nz/Lz2)(π2ħ2/2m and Ψnx,ny,nz=Asin(nxπx/Lx)sin(nyπy/Ly)sin(nzπz/Lz) How do I normalize A to get (2/L)^3/2? I don't think I understand how to normalize constants.
  12. C

    What is the path of a ball thrown between two children in a moving car?

    Homework Statement LOOKING AT PART (c) The ball is traveling at velocity c/√2. The car is traveling at velocity c/√2. Ball is thrown up through the sun roof or something I don't know. Homework Equations The Attempt at a Solution I don't know how to think about this in 3D. I've done parts (a)...
  13. G

    Question about equations of 3D solids

    I was working on a problem on this domain: E=[x,y,z)\:s.t. \: \sqrt{x^2+y^2}\leq z\leq \sqrt{3x^2+3y^2},\: x^2+y^2+z^2\leq 2] and at some point I wanted to find the intersection of the internal cone(##\sqrt{3x^2+3y^2}=z##) with the sphere of radius ##\sqrt{2}## to find the height z of the...
  14. Mr. Rho

    Mathematica Rotation of 3D Plot using Euler angles

    So, I'm trying to plot a 3D "dipole" (an arrow with a small torus around it basically) in mathematica, and want to rotate it according to Euler angles... I use this code for the rotation matrix: rot[a, b, g] := RotationMatrix[g, {1, 0, 0}].RotationMatrix[b, {0, 1, 0}].RotationMatrix[a, {0, 0...
  15. Einstein's Cat

    Can an n-dimensional object fit entirely in n-1 dimensions?

    I am concerned that this question may instead be a philosophical one although if it it mathematical, any insights would be very appreciated. The question is this; could an object of N dimensions exist entirely in N-1 dimensions? In other words, could an infinitely flat object have 3 degrees of...
  16. Federico Navarrete

    FDM for a 3 metal layers 3D, heat transfer

    Dear members, Some days ago, I received the following exercise but I have never studied thermodynamics before and I don't know very well where to start, the exercise is about Heat Transfer and the Finite Difference Method and I must program the solution using Petsc and C++. About the Finite...
  17. J

    MATLAB 3D Diffusion Equation in MATLAB

    Hi guys, I have functioning MATLAB code for my solution of the 3D Diffusion equation (using a 3D Fourier transform and Crank-Nicolsen) that runs just from the command window and automatically plots the results. However, it seems like my solution just decays to zero regardless of what initial...
  18. A

    3D simulation of Cone in Atlas Silvaco TCAD

    Hi I am interested in simulating the a cone structure in Silvaco's ATLAS TCAD. Since its has a cylindrical symmetry, I should be able to define a simple triangle and rotate it about a side to form the cone. I am not sure if this facility is available in Silvaco, like in Sentaurus from...
  19. N

    Black hole singularty definable In 3D space?

    Since the center of a black hole is defined as a singularity and space-time collapses at that point (assumption) is it possible to define this point in 3D coordinates? In other words, is it possible that our universe can not be described as a 3D space but rather as a space with 2.99... dimensions?
  20. C

    Get core loss in Maxwell 3D eddy current solution type

    Hi. I use maxwell 3D eddy current solution type. i want to find out core loss. please help me.
  21. H

    Reflective And Transparent 3D material?

    Is there any real-world material that is both reflective and transparent in 3D? A simple plane of glass is 3D and transparent, but reflective only in two 2D planes. I'm looking for something that is reflective in a large number of parallel 2D planes so that the reflection has depth. How...
  22. F

    3d printing neuron with membrane potential

    Is it possible to 3d print a neuronal structure with a different material than neurons that would work just like a neuron with membrane potential?
  23. C

    Newton's law of viscosity in 3D, used to derive Navier-Stoke

    I'm trying to understand how the Navier-Stokes equations are derived and having trouble understanding how the strain rates are related to shear stresses in three dimensions, what a lot of texts refer to as the 'Stokes relations'...
  24. A

    Explore an Amazing Maze in 3D Space!

    Hey everybody, So I just finished the first version of a personal project I've been working on. This is a simple program that enables you to explore a maze that consists of more than 2 dimensions(to a maximum of 8) in 3d space. It's a simple creature that I'm not sure anyone would really be...
  25. P

    Are 10 dimensions related to the tensor of 3d

    I think I've read the the tensor in three dimensions has 10 elements in its matrix(?). Is this related to the 10 dimensions in some forms of string theory?
  26. ClaireBear1596

    Question related to a 3D finite spherical well

    I have a particle in a spherical well with the conditions that V(r) = 0 is r < a, and V(r) = V0 if r ≥ a. In this problem we are only considering the l=0 in the radial equation. After solving this I found that in the region 0<r<a, u(r)=Bsin(kr) (k=√2mE/hbar), and in the other region...
  27. Leon666

    3D Static Analysis of a Automotive Suspension

    Hello, my name is Leon and I attend to a Mechanical Engineering College. (I'm sorry for any grammar mistakes, English is not my first language) I'm trying to calculate the reactions of a Formula SAE car's suspension to the chassis, but I'm getting some strange answers. I hope someone here can...
  28. T

    Looking for a high accuracy 3D graphing program

    Hi PF/math ! I've been searching for a program which will draw 3d parametric curves accurately for large variables, eg. f(10^8). Ive tried www.math.uri.edu and Ti-Nspire (the latter may or may not have a setting for the accuracy), but both tend to turn what should've been a smooth curve into an...
  29. P

    Solving 3D Compressible NS for Cylindrical Pipe

    Can somebody provide a solution for this question? convert 3 dimensional unsteady compressible NS equations to axisymmetric 2 dimensional incompressible laminar form for a cylindrical pipe, then make a derivation of streamwise velocity profile u(r) using the appropriate boundary conds. thanks
  30. Naton

    Resolving angle of parallelogram in 3D space

    Hi there, I'm doing a bit of amateur scale model making as a hobby, building shapes out of flat-cut pieces. Trigonometry is a huge help with this, but I've hit a snag where I'm trying to calculate the angle of a particular parallelogram so it fits with the rest of the geometry. 1...
  31. N

    Number of ways in a 3D lattice

    Hi! If I have points A and B in a lattice in the plane, and the closest path between them is n + m steps (for example 4 steps upwards and 5 steps to the right), there are C(9,(5-4)) = 9 combinations of paths between them. I have to choose the 4 ways upwards (or the 5 ways to the right) of the 9...
  32. I

    Solving 3D Geometry Problems with Python

    Homework Statement Requirements: http://i.imgur.com/2WKyhto.png Homework Equations 2(L * W + L * H + W * H) SA = (2 * pi * radius * height + 2 * pi * radius^2) height = (volume)/(pi * radius^2) The Attempt at a Solution Code link: http://pastebin.com/sKFEGN0C
  33. jaketsi

    How Does Angular Momentum Affect the Behavior of a Rotating Drone System?

    Hi folks!First of all, English is not my native language so I hope there is not much misleading spelling mistakes, discrepancies and inaccuracy. I’m currently working with a hobby-project of a flying drone/UAV with two adjustable angled rotors. I’m able to make it fly more or less in a way it...
  34. kelvin490

    MATLAB MATLAB enlarge 3D plot without enlarging colorbar

    Is it possible to enlarge a 3D patch without altering the size of the colorbar? My original picture is like this one: https://www.dropbox.com/s/xashny3w1fwcb2f/small.jpg?dl=0 I just want to enlarge the block in the middle of the figure keeping the colorbar unchanged. I used zoom(1.9) before...
  35. Kelson Adams

    Use 3D laser scanning to map Outer Space?

    Mobile, airborne, and terrestrial 3D laser scanning gives an unprecedented amount of data to companies, organizations, and governments. However, I am wondering whether or not 3D laser scanners have ever been used in astronomy, astrophysics, and in astrocartography... If they haven't, I believe...
  36. B

    Which Skill is More Vital for Mechanical Engineers: Illustrator or 3D Modeling?

    For a Mechanical Engineering student, which one is the most needed skill? Illustrator (which can create a cutaway illustration of a car such as below image) or a 3D modeler (which can create a 3D surface model of a car)?
  37. I

    Calculating reaction forces on 3d object

    Hello all, I am in the process of calculating reaction forces on an object, and need some help. Attached is a free body diagram of an object in two different views- one looking from the sides (z-x plane) and one looking it in birds eye view. (xy plane) 7 variables I am looking to solve are...
  38. W

    How Do You Calculate the Reactions at Supports in a 3D Equilibrium Problem?

    Homework Statement The 1.1m bar is supported by a ball and socket support at A and 2 smooth walls. The tension in the vertical cable CD is 1kN. Draw the Free Body Diagram of the Bar. Determine the Reactions at A and B. Homework Equations Equillibrium equations. Perhaps the vector...
  39. V

    Delta Dirac 3d Dimensional Analysis

    1. I ´m trying to do the dimensional analysis of the Delta Dirac in 3 Dimensions. [PLAIN]http://[url=http://postimg.org/image/oif09fcd5/] 3. This is my atempt [PLAIN]http://[url=http://postimg.org/image/4qavbtv4p/]
  40. T

    What's the 3d equation of the Alcubierre warp?

    What I mean by this is what's the 3d equation of the alcubierrie warp effect? You know when space is contracted infront of the ship, and inflated behind it in terms of z like this eqaurion for a rain drop z=(sin(2x+y)+sin(5y+2x))/5? Here's the photo if you don't understand what I'm talking about...
  41. Ahsan Elahi

    Maxwel 3D Wireless Power Transfer setup simulation errors

    Dear All, i am new to Maxwell 3D software. i want to simulate my Wireless Power transmission Project in Maxwell, for this purpose i took help from different toturials whic abled me to draw the Tx and RX coils...i want to simulate these coils to calculate the values of L, M, K and etc. but i am...
  42. KareemErgawy

    Calculating mixed partial derivatives on a 3D mesh

    I am working on implementing a PDE model that simulates a certain physical phenomenon on the surface of a 3D mesh. The model involves calculating mixed partial derivatives of a scalar function defined on the vertices of the mesh. What I tried so far (which is not giving good results), is this...
  43. C

    How Does the Heisenberg Model Describe Spins on a 3D Cubic Lattice?

    Homework Statement Consider a system of rotors, each of them placed at one node of a 3D cubic lattice. The system is known as a Heisenberg spin model. Each rotor is represented by a vector of unit length ##\mathbf S(\mathbf r)##, where ##\mathbf r## is its position on the lattice. The...
  44. R

    How to communicate 3d CAD with complex surfacing?

    Hello everyone I am sure the answer to this would be on the internet but I can't seem to find much. When we create a complex 3d cad (examples include Aerodynamic Helmet of a cycle biker, computer mouse, exhaust fan blades etc) that includes complex surfacing in cad, how does one communicate...
  45. L

    Reflected Light at 3D Angle: Shift in Polarization

    I've searched high and low for answers to this, and a friend of mine finally pointed me in the right direction. I decided to write a post about it so hopefully others who have the same question will find the answer more easily. When linearly polarized light is reflected at a 3D angle, the...
  46. Feodalherren

    Numerical Methods, need a 3D Jacobian

    Homework Statement I'm trying to write a program to solve a system of 3 non-linear equations using the Newton-Raphson method. I'm stuck on trying to figure out what the formula for a system of 3 unknowns is. I can't remember the derivation at all and after endless hours of googling and looking...
  47. V

    Determining equations for tension in 3D statics problem.

    Homework Statement The steel beam is supported by cables AB and CD and a ball-and-socket joint at O. The position of the vertical point load, P influences the reaction at O as well as the tension in each cable. First you need to derive the equations for the tension in cable AB, the tension in...
  48. A

    3D graph plot of a function of multiple variables.

    I am searching for a site that enables me to plot a function of multiple variables in 3D form. Say f(x1,x2,x3,x4) and I wish to plot this function as a 3D graph for x1 and x2 where x3 and x4 are kept constant.
  49. A

    3D Statics Equilibrium - Dot Everything with Vector P?

    Homework Statement Bead B has negligible weight and slides without friction on rigid fixed bar AC. An elastic cord BD has spring constant k = 3 N∕mm and 20 mm unstretched length, and bead B has a force of magnitude P in direction BC. If bead B is positioned halfway between points A and C...
  50. S

    Boundary conditions for 3d current flow through water

    I've forgotten a lot of field theory so I've been rereading it in a couple of electric field theory textbooks. What seems like a simple problem falls between the cracks. I hope some readers can help - it will be appreciated. My application seems simple (solution will require numerical FEA but...
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