Euclidean solid geometry | Functions and mappings | Projective geometry | Linear algebra | Graphical projections

3D projection

A 3D projection (or graphical projection) is a design technique used to display a three-dimensional (3D) object on a two-dimensional (2D) surface. These projections rely on visual perspective and aspect analysis to project a complex object for viewing capability on a simpler plane. 3D projections use the primary qualities of an object's basic shape to create a map of points, that are then connected to one another to create a visual element. The result is a graphic that contains conceptual properties to interpret that the figure or image as not actually flat (2D), but rather, as a solid object (3D) being viewed on a 2D display. 3D objects are largely displayed on two-dimensional mediums (i.e. paper and computer monitors). As such, graphical projections are a commonly used design element; notably, in engineering drawing, drafting, and computer graphics. Projections can be calculated through employment of mathematical analysis and formulae, or by using various geometric and optical techniques. (Wikipedia).

3D projection
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3D Printing

If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.

From playlist 3D Printing

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Sphere Investigation

Link: https://www.geogebra.org/m/D4hmNy9M

From playlist 3D: Dynamic Interactives!

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Rectangular Prism Diagonal: Hint

Link: https://www.geogebra.org/m/NNUNEtR8

From playlist 3D: Dynamic Interactives!

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3D Printed Animation!

I just got a dual extruder 3d printer and I wanted to make something that I havent seen online. I designed 3 different frames of animation and modeled each one to each side of the model.

From playlist 3D Printing

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Stereographic projection

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q41V.

From playlist 3D printing

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Reflection About a Plane: Dynamic & Modifiable Illustration

Link: https://www.geogebra.org/m/HUASZtnZ

From playlist 3D: Dynamic Interactives!

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The Journey of a 3D Printed Object

If you are interested in learning more about this topic, please visit https://www.gcflearnfree.org/thenow/what-is-3d-printing/1/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply

From playlist Technology Trends

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One CRAZY SURFACE !!!

Link: https://www.geogebra.org/m/FphGZ5Er

From playlist 3D: Dynamic Interactives!

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Normal Vector to a Plane: Dynamic Illustration

Link: https://www.geogebra.org/m/bRKxY9Zu

From playlist 3D: Dynamic Interactives!

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Stanford Seminar - Making Legs and Practicing Neurosurgery with Maker Software

Ryan Schmidt Gradientspace December 7, 2018 Human-Computer Interaction Seminar: Dynamic professionals sharing their industry experience and cutting edge research within the human-computer interaction (HCI) field will be presented in this seminar. Each week, a unique collection of technolo

From playlist Stanford Seminars

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Coding Challenge #112: 3D Rendering with Rotation and Projection

In this coding challenge I render a 3D object (cube) in 2D using rotation and projection matrices in Processing (Java). 💻Challenge: https://thecodingtrain.com/CodingChallenges/112-3d-rendering.html Links discussed in this challenge: 🔗 Matrix Multiplication: http://matrixmultiplication.xy

From playlist Coding Challenges

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Ayelet Heimowitz - Center of Mass Alignment for Noisy Tomographic Projections - IPAM at UCLA

Recorded 17 November 2022. Ayelet Heimowitz of Ariel University presents "Center of Mass Alignment for Noisy Tomographic Projections" at IPAM's Cryo-Electron Microscopy and Beyond Workshop. Abstract: Under the weak-phase object approximation, the center of mass of a 3-D macromolecule is pr

From playlist 2022 Cryo-Electron Microscopy and Beyond

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Live Stream #148.1: 3D Rendering Basics

Drawing 3D shapes on 2D canvas. 🎥 Part 2: https://youtu.be/M_YNwb7UudI 7:53 - Matrix Multiplication 54:45 - Coding Challenge: Cube Projected on 2D Screen 🔗 Matrix Multiplication: http://matrixmultiplication.xyz 🔗 Rotation Matrix on Wikipedia: https://en.wikipedia.org/wiki/Rotation_matri

From playlist Live Stream Archive

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Why This 3D-Printed House Will Change The World

The impact of this 3D-printing breakthrough for construction and for the buildings we all use could be huge. See more of PERI's 3D-printing process - http://bit.ly/3gRCsus Full story here - https://www.theb1m.com/video/why-this-3d-printed-house-will-change-the-world Learn more about PERI

From playlist Awesome Construction Tech - The B1M

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Yongsoo Yang - Neural network-assisted atomic electron tomography - IPAM at UCLA

Recorded 26 October 2022. Yongsoo Yang of the Korea Advanced Institute of Science and Technology presents "Neural network-assisted atomic electron tomography" at IPAM's Mathematical Advances for Multi-Dimensional Microscopy Workshop. Abstract: Functional properties of nanomaterials strongl

From playlist 2022 Mathematical Advances for Multi-Dimensional Microscopy

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Code-It-Yourself! 3D Graphics Engine Part #1 - Triangles & Projection

This video is part #1 of a new series where I construct a 3D graphics engine from scratch. I start at the beginning, setting up the project, then discuss vertices and triangles. Next a description of how 3D coordinates are converted into on-screen 2D coordinates using a projection matrix.

From playlist Code-It-Yourself!

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How To Create A Video For Data Science Website Using Fusion | Introduction | #design

Don’t forget to subscribe! In this project series, you will learn to create a video for a data science website using Fusion. This small course has the main goal to teach you how to use a node-based video editor Fusion from the Blackmagic Design team to create abstract video backgrounds

From playlist Create A Video For Data Science Website Using Fusion

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Rotating graph

I created this video with the YouTube Video Editor (https://www.youtube.com/editor)

From playlist 3d graphs

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Coding Challenge #113: 4D Hypercube (aka "Tesseract")

In this coding challenge, I visualize a 4D Hypercube (aka "Tesseract") in Processing (Java). 💻Challenge: https://thecodingtrain.com/CodingChallenges/113-hypercube.html Links discussed in this challenge: 🔗 Code: http://thecodingtrain.com/CodingChallenges/113-hypercube.html 🔗 Matrix Multip

From playlist Coding Challenges

Related pages

Euler angles | Perpendicular | Vanishing point | Projection plane | Axonometric projection | Coordinate system | Cross section (geometry) | Engineering drawing | Axonometry | Technical drawing | Map projection | Camera matrix | Exploded-view drawing | Isometric projection | Point at infinity | Oblique projection | Architectural drawing | Homogeneous coordinates | Plan (drawing) | Tesseract | Descriptive geometry | Cutaway drawing | Parallel projection | Pohlke's theorem | Focal length | Curvilinear perspective | Transform, clipping, and lighting | Perspective (graphical) | Homography | Matrix addition | Matrix multiplication | Pinhole camera model | Orientation (geometry) | Conservation of energy | Geometry | Waterfall (M. C. Escher)