Engine prototype #13

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glen merged 133 commits from engine-proto into main 2024-10-21 03:18:48 +00:00
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@ -34,12 +34,12 @@ gram[1, 6] = gram[6, 1]
# in this initial guess, the mutual tangency condition is satisfied for spheres # in this initial guess, the mutual tangency condition is satisfied for spheres
# 1 through 5 # 1 through 5
guess = sqrt(0.5) * BigFloat[ guess = sqrt(1/BigFloat(2)) * BigFloat[
1 1 -1 -1 0 -0.1 0.3; 1 1 -1 -1 0 -0.1 0.3;
1 -1 1 -1 0 -0.5 0.4; 1 -1 1 -1 0 -0.5 0.4;
1 -1 -1 1 0 0.1 -0.2; 1 -1 -1 1 0 0.1 -0.2;
0 0 0 0 -sqrt(6) 0.3 -0.2; 0 0 0 0 -sqrt(BigFloat(6)) 0.3 -0.2;
1 1 1 1 2 0.2 0.1; 1 1 1 1 2 0.2 0.1;
] ]
# complete the gram matrix using gradient descent # complete the gram matrix using gradient descent