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. S

    Calculating 3D Cylinder Volumes & Areas With Constants

    Homework Statement Let r be a positive constant. Consider the cylinder x2 + y2 ≤ r2, and let C be the part of the cylinder that satisfies 0 ≤ z ≤ y. (1) Consider the cross section of C by the plane x = t (−r ≤ t ≤ r), and express its area in terms of r, t. (2) Calculate the volume of C...
  2. E

    Can I Use Blender to Create Weapon Models for Fallout 4?

    This is only the third thing that I've created in 3D modeling. If you played the PC video game Quake 2 back in 1998, then you might remember this. https://imgur.com/a/dqEqD
  3. wukunlin

    I Putting a point inside a triangle in 3D space

    This may belong to the computing subforum, let me know if this is more true than having it here in the math forum :) My questions are 1) Suppose there is a plane in 3D space and I have 3 points to define it: p1 = {x1, y1, z1} p2 = {x2, y2, z2} p3 = {x3, y3, z3} and I want to put a particular...
  4. hzx

    A crystallography problem using 3D geometry

    Homework Statement Three close-packed planes of atoms are stacked to form fcc lattice. The stacking sequence of the three planes can be altered to form the hexagonal close packed structure by sliding the third plane by the vector r over the second. If the planes in the fcc structure are all...
  5. Souhardya Nandi

    B Balloon Analogy - 3D universe on a 2D plane

    This has been a real famous analogy and I understand it, except the fact that the balloon surface is a 2D structure. How is it possible to depict a 3D universe on a 2D plane ? What happens when we work with stars at multiple planes ?
  6. K

    B Exploring Poisson's Ratio in 3D Rectangles

    In poisson's ratio If we are stretching a a 3d rectangle L is hight A,B are the length and width Starching it in the L direction so that's the longitudinal strain we are making Why does the transverse strain in the "a " side equals the strain in "b" side So like that we can both use ∆a/a or...
  7. E

    3D computer model I made of the RBMK-1000 reactor

    Here are screenshots of a 3D model I made using a program called Blender, of the RBMK-1000 "Chernobyl-type" nuclear reactor and reactor hall. It's still a work-in-progress and not yet finished. https://imgur.com/a/rpHnK
  8. L

    MHB Formula to extend a line in 3d (opposite of midpoint formula)

    Hello, I have some simple 3d data like, point 1: x1 = 5.8573375, y1 = -4.17885, z1 = 2.338175 point 2: x2 = -3.26132, y2 = 1.28276, z2 = 0.931583 I need to be able to extend the line from point 1 through point 2 to some additional distance. There are a few posts on stackexchange, but they...
  9. M

    MATLAB How can I plot a separable function in 3D using polar coordinates?

    Hi PF! I'm trying to plot in 3D. I have ##r = f(\theta,z=0)## and it plots well. However, I would like to plot ##r = f(\theta,z)## in 3D. Any idea how to do this? The radius is actually a separable function ##r = h(\theta)g(z)##, so I have ##h## plotted for a given ##\theta## vector and ##g##...
  10. yecko

    Is my approach correct for the 3D moment couple problem?

    Homework Statement Homework Equations M=r x F = d * F (for moment couple) The Attempt at a Solution This is my attempt to the question, yet I have got quite a different answer from my classmates... (especially the moment by the 50N force couple) Can anyone point out is there anything wrong...
  11. karush

    MHB 12.4.9 - Area of a triangle given points in 3D space

    $\textsf{Find the area of the triangle determined by the points }$ \begin{align*}\displaystyle &P(1,1,1), \, Q(-2,-7,-1), \, R(-7,-1,4)\\ \end{align*} \begin{align*}\displaystyle \vec{PQ}&=(-2-1)i&+(-7-1)J&+(-1-1)k&=-3i-8j-2k\\ \vec{PR}&=(-7-1)i&+(-1-1)j&+(4-1) k&=-8i-2j-3k...
  12. J

    3D Eccentric Impact -- Final Linear and Angular Velocities

    Homework Statement I have been thinking about this problem for comparison of experimental data to theoretical for a project. A hammer with known mass mh and mass moment of inertia Ih is held stationary at 90 degrees. It is released as swings down. At 0 degrees it impacts a block, initially...
  13. karush

    MHB Visualizing a Circle on a 3D Graph Using Parameterization

    $\textsf{graph the given}$ \begin{align*}\displaystyle y^2+z^2&=16\\ x&=5 \end{align*} ok I know this is circle $||$ to the yz axis 5 units away but want to show this circle on a 3d view (tried W|F but 😰) ok found this the parameterization of radius r around the axis, centered at...
  14. I

    Does the placement of weight affect tension in 3D?

    If you have a rectangular box connected on 3 sides with strings, and you hold all the strings together at a point, with your hand; then you put a weight in the center of the box, which is open, would the tension on the strings differ than if you put the weight at a corner. Please describe it to...
  15. D

    To find the energy eigenvalues in the 3D Hilbert space

    A fictitious system having three degenerate angular momentum states with ##\ell=1## is described by the Hamiltonian \hat H=\alpha (\hat L^2_++\hat L^2_-) where ##\alpha## is some positive constant. How to find the energy eigenvalues of ##\hat H##?
  16. L

    3D sphere oblique impacts calculations

    Hello, Im creating a physics simulator and I am struggling to expand my collisions from 2D to 3D. In 2D the velocity only changes parallel to the line of center so I presume this is the same for 3D.I can get a Cartesian equation of line but I am not sure how to get the velocity component...
  17. G

    Potential Energy in 3D: Partial Derivatives

    To find potential energy in 3 dimensions why do we take partial derivative and not total derivative?
  18. A

    I Visualizing Solid Angle of a 3d Object (say a Sphere)

    Hello Everybody! Concept of Solid Angle was pretty much straight forward until they were on surface patches were taken into account which were visualized as base of cone. I am having difficult when 3d Objects like Sphere/Cylinder . We can very easily calculate the respective area and plugin the...
  19. F

    Mastering 3D Statics: How to Solve Moments and Forces for Bearings A and B

    Homework Statement A 200N force is applied to the handle of the hoist in the direction shown. The bearing A supports the thrust (force in the direction of the shaft axis), while bearing B supports only radial load (load normal to the shaft axis). Determine the mass 'm' which can be supported...
  20. C

    Optical Tweezers and 3D Printing

    I am trying to assemble an optical tweezers setup and was thinking if it is realistic to assemble an optical tweezers setup using 3D printed parts? Also can DMD (Digital Micromirror Device) be used instead of SLM to manipulate the beam and generate multiple traps?
  21. The Maker

    3D Origami Paper Swan (HD) Tell me what you think

    Thank you for your interest and please let me know what you think! Here is the video link: Here is the video description: "3D Origami Paper Swan" Instructions for how to make the triangles here: https://www.youtube.com/watch?v=74z3n... This project took about a month to finish. I did not...
  22. S

    How does the optical system of a structured light 3D scanner work?

    Hello, can anyone explain me how optical system of a structured light 3d scanner like this one works? I tried to google it, but still didn't understand how it get's Z coordinate.
  23. S

    Are 3D printers easy to use yet?

    This article from 2013 says that the 3D printers available to hobbyists are similar to "project cars". You spent most of your time trying to adjust and fix the machine instead of using it...
  24. M

    What is the best way to make 3D animations

    Hi, i am 3D Artist and create 3D visualizations like this. Now I want generate a 3D animation about science fiction like star wars. Can I create a 3D animation about Star wars or I need a license of lucasarts. Thanks.
  25. S

    Coulomb's Law in 3D: Find Electric Force & Field

    Homework Statement q1= 5 x 10^-6C position (1;2,-1) q2= -3 x 10^-6 C position (-2,1,3) a) what is the electric force caused by q2 on q1? (vector notation) b) what is the electric field at (0,0,0) Homework Equations F = kq1q2/r^2 E= F/q The Attempt at a Solution I really don't...
  26. AdrianMachin

    Plot 3D graph of electric potential of a charged particle

    Homework Statement Plot the electric potential ##V(r)## due to a positively charged particle located at the origin of an XY plane. Homework Equations ##V=\frac 1 {4πε_0} \frac q r## The Attempt at a Solution I'm unfamiliar with 3D coordinates at this time, but I like to know how can I plot it...
  27. JulienB

    3D quantum harmonic oscillator: linear combination of states

    Homework Statement Hi everybody! In my quantum mechanics introductory course we were given an exercise about the 3D quantum harmonic oscillator. We are supposed to write the state ##l=2##, ##m=2## with energy ##E=\frac{7}{2}\hbar \omega## as a linear combination of Cartesian states...
  28. D

    Recreating a mathematical 3D shape

    Hello, I am trying to recreate a shape shown in the attached photo, from the attached article I have tried to create this shape in MATLAB as shown in the code bellow , from this formula i get a 2D shape and not the shown 3D shape , how to create this 3D shape? Thankstheta_0=15; alpha=60...
  29. T

    How do the 3D printed fingers work?

    So at work I am baffled by a problem to bend a flat plate (3mm thick max) using string where the string is encased in the plate. So naturally I 3d printed some plates and attached a string but found as suspected that the plate would only bend when the string had some angle > than a few degrees...
  30. BillTre

    3D Printing of Structural Colors

    Browns, Reds, and Blues have been 3D printed (video here) by making very tiny shapes similar to those that underlie the iridescence phenomena. This kind of coloration is in some ways similar to the another favorite of mine (which I would call a structural non-color): Vantablack (Vertically...
  31. Jim Lundquist

    How Does Applying Forces to a 3D Axis System Affect Its Motion and Stability?

    Please help me solve a problem that has puzzled me for years. I am not a mathematician or a physicist, so please bear with me. Imagine the apparatus pictured to be a depiction of the x, y and z axes. The x is represented by the green stick. The y is represented by the yellow stick, and the z...
  32. P

    A Stress tensor in 3D Anti-De Sitter Space

    I am doing some mathematical exercises with 3D anti-de sitter face using the metric ds2=-(1+r2)dt2+(1+r2)-1+r2dφ2 I found the three geodesics from the Christoffel symbols, and they seem to look correct to me. d2t/dλ2+2(r+1/r)*(dt/dλ)(dr/dλ)=0...
  33. The Maker

    How to Make a 3D Origami Paper Snake: Please make your own

    This video is about making a snake out of paper. The style of paper folding and structure building shown in this video is called "3D Origami" if you wish to look it up. I hope that this video will inspire you guys to create your own creations and share them with me. I learned this skill in 6th...
  34. A

    Find the equation of the plane given point and line (3D)

    ∴1. Homework Statement Find an equation for the plane that contains the point (1,-1,2) and the line x=t, y=t+1, z=-3+2t? 2. Homework Equations The Attempt at a Solution I don't know what I am doing wrong but everytime I try to do these plane questions my amswer is always the opposite sign of...
  35. I

    Can Anyone Help Me Fix My 3D Space Filling Tree Algorithm?

    Hi all, I need an algorithm that fills a 3d lattice from any point, always expanding (no return allowed as in ref. http://msl.cs.illinois.edu/~lavalle/papers/KufLav09.pdf). The cells must be visited just once. My efforts are contained in the attached file. It works ***almost*** correct. Some...
  36. Seth Allen

    Recommendations for an affordable 3D CAD for home use

    Hey! I hope this is the right place to post this. I'm looking for recommendations for a modeling/drafting cad program that is relatively affordable and capable. I have extensive experience with NX and Solidworks, but can't justify paying for either of those to simply use at home. My non-work...
  37. I

    Solve 3D Visit-Once Tree Puzzle with 16x16x16 Grid

    I'm trying to build a software function that explores a 3d grid visiting the cells just once. The file below is my last attempt, which misses some cells (for 16x16x16 it visits 3436 cells instead of 4095). Can anyone give me a reference to a solution, please.
  38. M

    Maxwell 3D. error: The solved region is not connected

    Hello all, I am working on a simple induction system consisting of 2 coils (separated by a distance) and the ferrite cores modeled with Maxwell 3D I want to run the optimization tool to define the best distance between the coils in order to have a high coupling factor between them. I am...
  39. DaveC426913

    Getting and using 3D printing software

    I have a design I want to 3D print. It's tiny, less than 1 inch, and has more than one fitted, moveable part. I'd like to figure out if it's feasible before I decide whether I buy in. I don't know what software is used to make the designs. (A friend told me his printer supports .stl files) I...
  40. nomadreid

    I Term: generalization of parallel curves to 3D

    I know that the generalization of parallel lines to curves in 2D is just "parallel curves", but is there any term which generalizes the idea of skew lines to curves? "Skew curves" doesn't work, this term already being co-opted by statistics. Example: if you had two curves coiling around each...
  41. BillTre

    How Can 3D Printing Revolutionize Manufacturing Costs?

    This little article discusses a variety of savings GE got from using 3D printing in making a new turboprop engine. They included fewer parts (855 --> 12), subsystems (40 --> 1), and suppliers (50 --> 1).
  42. Arman777

    Electric dipole in Uniform Electric Field (3D)

    Homework Statement An electric dipole with magnitude ##p = 0.2Cm## is placed inside a uniform electric field of ##\vec{E} = 100\vec{i} + 70\vec{j} + 40\vec{k} \frac {N} {C}##. The dipole was initially pointing along the +x direction. You then start to rotate it first on xz-plane towards...
  43. M

    Various Properties of Space Curve....*Really *

    Homework Statement Let γ : I → R3 be an arclength parametrized curve whose image lies in the 2-sphere S2 , i.e. ||γ(t)||2 = 1 for all t ∈ I. Consider the “moving basis” {T, γ × T, γ} where T = γ'. (i) Writing the moving basis as a 3 × 3 matrix F := (T, γ × T, γ) (where we think of T and etc...
  44. J

    Visualizing a 3D Configurator in Reality

    Hi, i want visualize a 3D configurator like this in reality. I have print the configurator in 3D but the result was not very good. How I can visualize the 3D configurator in reality in best. Thanks.
  45. karush

    MHB What is the Surface of the Equation S88 and How Can it be Graphed Online?

    $ \tiny{231.14.88}\\$ $\textsf{Identify and briefly describe the surface of the equation}\\$ \begin{align*} S_{88}&=\frac{-x^2-y^2+z^2}{9+6x-8y}=26 \end{align*} $\textit{this had no template example but on}\\$ $\textit{ W|A it looked like a torus?}\\$ $\textit{where is a good online 3d graphing...
  46. davidge

    I Riemann tensor in 3d Cartesian coordinates

    Suppose we wish to use Cartesian coordinates for points on the surface of a sphere. Then all derivatives of the metric would vanish and so the Riemann curvature tensor would vanish. But it would give us a wrong result, namely that the space is not curved. So it means that if we want to get...
  47. S

    I Can a 3D object displace a 4D object?

    I was just thinking about this randomly today. I feel like the answer is that it "does" and it "doesn't." A math teacher I had said that the 4th dimension is perpendicular to everything and anything in the 3rd, so does that mean that it can't be displaced, or is the answer more complicated than...
  48. F

    3D Printing a transparent plastic object....

    Hello Forum, I am new to 3D printing and wondering if any of you have been able to print transparent plastic object with 3D printing. It seems that translucency is the best that we can get. Is that true? Are today's affordable 3D printer still only work with PLA and ABS or are there other more...
  49. Ryan Walsh

    What is the Lightest and Strongest 3D printing material?

    Looking for Something durable yet Very Light 3D printing material. I googled and Found A product. http://www.mes3dfilaments.co.uk/product/form-futura-carbonfil Carbon Fiber PLA.. Any other suggestions? For application for small wind turbine propellers
  50. BillTre

    Art How Does Henry Segerman Combine Mathematics and Art in 3D Printing?

    Here are several 3D printer art creations by Henry Segerman I came across on the Shapeways site. I found them interesting. I especially liked the ones that projected interesting shadows when illuminated from within (like a lamp).
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