12 commits

Author	SHA1	Message	Date
Aaron Fenyes	21f09c4a4d	Switch element abbreviation from "elem" to "elt"	2024-02-04 16:08:13 -05:00
Aaron Fenyes	a3f3f6a31b	Order spheres before points within each coordinate block ... In the cases I've tried so far, this leads to substantially smaller Gröbner bases.	2024-02-01 16:13:22 -05:00
Aaron Fenyes	65d23fb667	Use module names as filenames ... You're right: this naming convention seems to be standard for Julia modules now.	2024-01-30 02:49:33 -05:00
Aaron Fenyes	4e02ee16fc	Find dimension of solution variety	2024-01-30 02:45:14 -05:00
Aaron Fenyes	6349f298ae	Extend AbstractAlgebra ideals to rational coefficients ... The extension should also let us work over finite fields of prime order, although we don't need to do that.	2024-01-29 19:11:21 -05:00
Aaron Fenyes	0731c7aac1	Correct relation equations	2024-01-29 12:41:07 -05:00
Aaron Fenyes	59a527af43	Correct Minkowski product; build chain of three spheres	2024-01-29 12:28:57 -05:00
Aaron Fenyes	c29000d912	Write a simple solver for the hitting set problem ... I think we need this to find the dimension of the solution variety.	2024-01-28 01:34:13 -05:00
Aaron Fenyes	86dbd9ea45	Order variables by coordinate and then element ... In other words, order coordinates like (rₛ₁, rₛ₂, sₛ₁, sₛ₂, xₛ₁, xₛ₂, xₚ₃, yₛ₁, yₛ₂, yₚ₃, zₛ₁, zₛ₂, zₚ₃) instead of like (rₛ₁, sₛ₁, xₛ₁, yₛ₁, zₛ₁, rₛ₂, sₛ₂, xₛ₂, yₛ₂, zₛ₂, xₚ₃, yₚ₃, zₚ₃). In the test cases, this really cuts down the size of the Gröbner basis.	2024-01-27 14:21:03 -05:00
Aaron Fenyes	463a3b21e1	Realize relations as equations	2024-01-27 12:28:29 -05:00
Aaron Fenyes	4d5aa3b327	Realize geometric elements as symbolic vectors	2024-01-26 11:14:32 -05:00
Aaron Fenyes	b864cf7866	Start drafting engine prototype	2024-01-24 11:16:24 -05:00