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8 Commits

Author SHA1 Message Date
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 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