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Write examples directly in light cone basis

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This commit is contained in:
Aaron Fenyes 2024-07-17 15:37:14 -07:00
parent bde42ebac0
commit 2038103d80
5 changed files with 33 additions and 31 deletions
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23
engine-proto/gram-test/overlapping-pyramids.jl
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@ -36,16 +36,19 @@ gram[1, 6] = gram[6, 1]
# in this initial guess, the mutual tangency condition is satisfied for spheres
# 1 through 5
Random.seed!(50793)
guess = Engine.nullmix * hcat(
sqrt(1/BigFloat(2)) * BigFloat[
1 1 -1 -1 0;
1 -1 1 -1 0;
1 -1 -1 1 0;
0 0 0 0 -sqrt(BigFloat(6));
1 1 1 1 2;
] + 0.2*Engine.rand_on_shell(fill(BigFloat(-1), 5)),
Engine.rand_on_shell(fill(BigFloat(-1), 2))
)
guess = begin
const a = sqrt(BigFloat(3)/2)
hcat(
sqrt(1/BigFloat(2)) * BigFloat[
1 1 -1 -1 0
1 -1 1 -1 0
1 -1 -1 1 0
-0.5 -0.5 -0.5 -0.5 -a-1
0.5 0.5 0.5 0.5 -a+1
] + 0.2*Engine.rand_on_shell(fill(BigFloat(-1), 5)),
Engine.rand_on_shell(fill(BigFloat(-1), 2))
)
end
# complete the gram matrix
#=