Computer Science and Engineering at the University of Michigan’s Post

Exploring Modeling Practices to Improve My Understanding of Complex Geometry, Shapes, Topology, and More. 😃 https://lnkd.in/gPdjWAmG #3dmodeling #practice #learningjourney

A 0 dimensional point would have No faces. A 1 dimensional line would have two "0 dimensional faces" - two points. A 2 dimensional square would have four 1 dimensional faces or 4 lines. A 3 dimensional cube would have six 2 dimensional faces or 6 squares. Further, A 4 dimensional hypercube or Tesseract would have eight 3 dimensional faces or 8 cubes. "A Hypercube or Tesseract would be made up of eight 3 dimensional cubes." In a nutshell: 0 dimensional point: No faces. 1 dimensional line: 2 "0 dimensional faces" - 2 points. 2 dimensional square: 4 "1 dimensional faces" - 4 lines. 3 dimensional cube: 6 "2 dimensional faces" - 6 squares. 4 dimensional hypercube (Tesseract): 8 "3 dimensional faces" - 8 cubes as faces. One can go even further, into the higher dimensional realm or multiverse. Just saying.

📐 Unraveling 3D Geometry for Class 11 Embark on a journey into the world of three-dimensional shapes and space. From points, lines, and planes to solids like prisms and pyramids, we'll explore their properties and relationships. Through the Cartesian coordinate system, we'll navigate space with precision, understanding distance, equations of lines and planes, and the power of vectors. Join me in unlocking the secrets of 3D geometry, where every shape tells a story waiting to be discovered. #Mathematics #3DGeometry #Education

Very interesting how fast the field of Text-to-3D is evolving. This paper shows a big step by extending some classic diffusion ideas to the 3D world.

Practicing Hard Surface Modeling...

Is it pretty? Not particularly. Is it satisfying to make? Hell yeah. Playing around with morphing in C4D and Redshift. I used vertex maps to control the balloon simulation. The biggest challenge was to get the geometry to return to its original shape after the deformation, while keeping the textures properly mapped. Greyscalegorilla #3dart #3dmotiondesign #C4D #Maxon #redshift #greyscalegorilla #simulation #motiondesign

"Excited to share my latest Medium post! 🔥 Discover 'GaussianObject: Just Taking Four Images to Get A High-Quality 3D Object with Gaussian Splatting.' Learn how this innovative technique transforms a few images into detailed 3D models. Check it out here: #3DModeling #MachineLearning #Innovation #GaussianSplatting"

I finished course called "Hard Surface Modeling Jumpstart " with @blenderbros! here is the result.

🔍✨ Geometry Challenge Alert! Can you prove this theorem? 📐💡 🌟 Theorem: In the figure, DE // AC and DF // AE. Prove that BF/FE = BE/EC. Think you've got the solution? Share your answer in the comments below! Let's put our geometric reasoning skills to the test! 🧠🔢 #GeometryChallenge #MathIsFun #ProveIt #Mathematics #ProblemSolving

Tetrahedral numbers represent how objects can be stacked in a pyramid, which has applications in 3D geometry. #mathematics #DidYouKnow #mathsfacts #tetrahedralnumbers