Aaron Fenyes
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023759a267
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Start "circles in triangle" from a very close guess
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2024-07-08 14:21:10 -07:00 |
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Aaron Fenyes
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610fc451f0
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Track slope in gradient descent history
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2024-07-08 14:19:25 -07:00 |
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Aaron Fenyes
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93dd05c317
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Add required package to "sphere in tetrahedron" example
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2024-07-08 14:19:05 -07:00 |
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Aaron Fenyes
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9efa99e8be
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Test gradient descent for circles in triangle
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2024-07-08 12:56:28 -07:00 |
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Aaron Fenyes
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828498b3de
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Add sphere and plane utilities to engine
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2024-07-08 12:56:14 -07:00 |
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Aaron Fenyes
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736ac50b07
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Test gradient descent for sphere in tetrahedron
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2024-07-07 17:58:55 -07:00 |
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Aaron Fenyes
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ea354b6c2b
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Randomize guess in gradient descent test
Randomly perturb the pre-solved part of the guess, and randomly choose
the unsolved part.
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2024-07-07 17:56:12 -07:00 |
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Aaron Fenyes
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d39244d308
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Host Ganja.js locally
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2024-07-06 21:35:09 -07:00 |
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Aaron Fenyes
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7e94fef19e
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Improve random vector generator
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2024-07-06 21:32:43 -07:00 |
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Aaron Fenyes
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abc53b4705
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Sketch random vector generator
This needs to be rewritten: it can fail at generating spacelike vectors.
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2024-07-02 17:16:31 -07:00 |
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Aaron Fenyes
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17fefff61e
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Name gradient descent test more specifically
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2024-07-02 17:16:19 -07:00 |
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Aaron Fenyes
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133519cacb
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Encapsulate gradient descent code
The completed gram matrix from this commit matches the one from commit
e7dde58 to six decimal places.
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2024-07-02 15:02:59 -07:00 |
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Aaron Fenyes
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e7dde5800c
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Do gradient descent entirely in BigFloat
The previos version accidentally returned steps in Float64.
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2024-07-02 12:35:12 -07:00 |
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Aaron Fenyes
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242d630cc6
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Get Ganja.js to display planes
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2024-06-27 21:49:53 -07:00 |
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Aaron Fenyes
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8eb1ebb8d2
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Merge branch 'ganja' into gram
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2024-06-26 15:57:07 -07:00 |
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Aaron Fenyes
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05a824834d
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Let visibility controls scroll
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2024-06-26 15:56:51 -07:00 |
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Aaron Fenyes
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a113f33635
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Merge branch 'ganja' into gram
Get visibility controls.
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2024-06-26 15:52:20 -07:00 |
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Aaron Fenyes
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5ea32ac53c
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Streamline visibility controls
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2024-06-26 15:51:57 -07:00 |
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Aaron Fenyes
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3eb4fc6c91
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Add element visibility controls
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2024-06-26 15:24:31 -07:00 |
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Aaron Fenyes
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7aaf134a36
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Size the viewer window automatically
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2024-06-26 13:15:54 -07:00 |
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Aaron Fenyes
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c933e07312
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Switch to Ganja.js basis ordering
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2024-06-26 11:39:34 -07:00 |
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Aaron Fenyes
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2b6c4f4720
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Avoid naming conflict with identity transformation
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2024-06-26 11:28:47 -07:00 |
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Aaron Fenyes
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5aadfecf6c
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Merge branch 'ganja' into gram
Visualize low-rank factorization results.
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2024-06-26 11:12:24 -07:00 |
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Aaron Fenyes
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4a28a47520
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Update namespace of AbstractAlgebra.Rationals
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2024-06-26 01:06:27 -07:00 |
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Aaron Fenyes
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a3b1f4920c
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Build construction viewer module
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2024-06-26 00:41:21 -07:00 |
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Aaron Fenyes
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665cb30ce0
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Correct indentation of CSS
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2024-06-25 23:31:00 -07:00 |
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Aaron Fenyes
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182b5bb9f6
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Generate palette automatically
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2024-06-25 17:57:16 -07:00 |
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Aaron Fenyes
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b7b5b9386b
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Load elements from Julia into Ganja.js
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2024-06-25 16:30:19 -07:00 |
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Aaron Fenyes
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06a9dda5bb
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Play with reflections
Try configuration of five tangent spheres.
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2024-06-25 13:40:40 -07:00 |
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Aaron Fenyes
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69a9baa8ee
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Add live updates to Ganja.js visualization
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2024-06-25 03:11:50 -07:00 |
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Aaron Fenyes
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3b10c95d5f
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Clean up examples
Declare JavaScript variables. Revise Julia comments to match new code.
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2024-06-25 02:58:39 -07:00 |
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Aaron Fenyes
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3c34481519
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Get familiar with Ganja.js inline syntax
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2024-06-25 01:54:01 -07:00 |
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Aaron Fenyes
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d1ce91d2aa
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Get a Ganja.js visualization running in Blink
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2024-06-24 19:37:57 -07:00 |
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Aaron Fenyes
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58a5c38e62
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Try numerical low-rank factorization
The best technique I've found so far is the homemade gradient descent
routine in `descent-test.jl`.
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2024-05-30 00:36:03 -07:00 |
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Aaron Fenyes
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ef33b8ee10
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Correct signature
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2024-03-01 13:26:20 -05:00 |
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Aaron Fenyes
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717e5a6200
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Extend Gram matrix automatically
The signature of the Minkowski form on the subspace spanned by the Gram
matrix should tell us what the big Gram matrix has to look like
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2024-02-21 03:00:06 -05:00 |
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Aaron Fenyes
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16826cf07c
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Try out the Gram matrix approach
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2024-02-20 22:35:24 -05:00 |
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Aaron Fenyes
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3170a933e4
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Clean up example of three mutually tangent spheres
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2024-02-15 17:16:37 -08:00 |
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Aaron Fenyes
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f2000e5731
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Test different sign patterns for cosines
It seems like there are real solutions if and only if the product of the
cosines is positive.
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2024-02-15 16:25:09 -08:00 |
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Aaron Fenyes
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ba365174d3
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Find real solutions for three mutually tangent spheres
I'm not sure why the solver wasn't working before. It might've been just
an unlucky random number draw.
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2024-02-15 16:16:06 -08:00 |
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Aaron Fenyes
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ae5db0f9ea
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Make results reproducible
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2024-02-15 16:00:46 -08:00 |
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Aaron Fenyes
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8d8bc9162c
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Store elements in arrays to keep order stable
This seems to restore reproducibility.
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2024-02-15 15:42:26 -08:00 |
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Aaron Fenyes
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291d5c8ff6
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Study mutually tangent spheres with two fixed
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2024-02-15 13:28:01 -08:00 |
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Aaron Fenyes
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e41bcc7e13
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Explore the performance wall
Three points on two spheres is too much.
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2024-02-13 04:02:14 -05:00 |
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Aaron Fenyes
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31d5e7e864
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Play with two points on two spheres
Guess conditions that make the scaling constraint impossible to satisfy.
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2024-02-12 22:48:16 -05:00 |
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Aaron Fenyes
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a450f701fb
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Try displaying a chain of spheres
For three mutually tangent spheres, I couldn't find real solutions.
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2024-02-12 21:14:07 -05:00 |
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Aaron Fenyes
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6cf07dc6a1
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Evaluate and display elements
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2024-02-12 20:34:12 -05:00 |
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Aaron Fenyes
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1f173708eb
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Move random cut routine into engine
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2024-02-10 17:39:26 -05:00 |
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Aaron Fenyes
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6f18d4efcc
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Test lots of uniformly distributed hyperplanes
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2024-02-10 15:10:48 -05:00 |
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Aaron Fenyes
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621c4c5776
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Try uniformly distributed hyperplane orientations
Unit normals are uniformly distributed over the sphere.
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2024-02-10 15:02:26 -05:00 |
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