Keenan Crane
@keenancrane.bsky.social
Digital Geometer, Associate Professor of Computer Science & Robotics at Carnegie Mellon University. There are four lights.
https://www.cs.cmu.edu/~kmcrane/
https://www.cs.cmu.edu/~kmcrane/
“Fair dice” might make you think of perfect cubes with equal frequencies (say, 1/6 on all sides) 🎲
But “fair” really just means you get the frequencies you expect (say, 1/4, 1/4 & 1/2)
We can now design fair dice with any frequencies—and any shape! 🐉
hbaktash.github.io/projects/put...
But “fair” really just means you get the frequencies you expect (say, 1/4, 1/4 & 1/2)
We can now design fair dice with any frequencies—and any shape! 🐉
hbaktash.github.io/projects/put...
September 25, 2025 at 1:39 PM
“Fair dice” might make you think of perfect cubes with equal frequencies (say, 1/6 on all sides) 🎲
But “fair” really just means you get the frequencies you expect (say, 1/4, 1/4 & 1/2)
We can now design fair dice with any frequencies—and any shape! 🐉
hbaktash.github.io/projects/put...
But “fair” really just means you get the frequencies you expect (say, 1/4, 1/4 & 1/2)
We can now design fair dice with any frequencies—and any shape! 🐉
hbaktash.github.io/projects/put...
Quick “teaser” for a fun #SIGGRAPH2025 project, led by Hossein Baktash, on optimizing a shape to have the desired rolling statistics.
Basically we can turn arbitrary objects into fair dice, or make dice which capture the statistics of other objects—like several coin flips.
Basically we can turn arbitrary objects into fair dice, or make dice which capture the statistics of other objects—like several coin flips.
June 28, 2025 at 3:05 AM
Quick “teaser” for a fun #SIGGRAPH2025 project, led by Hossein Baktash, on optimizing a shape to have the desired rolling statistics.
Basically we can turn arbitrary objects into fair dice, or make dice which capture the statistics of other objects—like several coin flips.
Basically we can turn arbitrary objects into fair dice, or make dice which capture the statistics of other objects—like several coin flips.
Meshes with 90° angles are super useful, providing asymptotically faster convergence for finite element simulation, and optimal shape approximation (when aligned with curvature).
Amazingly, no past quad meshing method could guarantee 90° angles under refinement—until now. #RSP
Amazingly, no past quad meshing method could guarantee 90° angles under refinement—until now. #RSP
June 26, 2025 at 3:03 PM
Meshes with 90° angles are super useful, providing asymptotically faster convergence for finite element simulation, and optimal shape approximation (when aligned with curvature).
Amazingly, no past quad meshing method could guarantee 90° angles under refinement—until now. #RSP
Amazingly, no past quad meshing method could guarantee 90° angles under refinement—until now. #RSP