Tetrahedron radius ratio: add circumscribed sphere
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6e719f9943
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@ -8,21 +8,21 @@ using Random
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J = Int64[]
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J = Int64[]
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K = Int64[]
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K = Int64[]
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values = BigFloat[]
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values = BigFloat[]
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for j in 1:10
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for j in 1:11
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for k in 1:10
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for k in 1:11
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filled = false
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filled = false
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if j == 10
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if j == 11
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if k <= 4
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if k <= 4
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push!(values, 0)
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push!(values, 0)
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filled = true
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filled = true
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end
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end
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elseif k == 10
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elseif k == 11
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if j <= 4
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if j <= 4
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push!(values, 0)
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push!(values, 0)
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filled = true
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filled = true
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end
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end
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elseif j == k
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elseif j == k
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push!(values, j <= 5 ? 1 : 0)
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push!(values, j <= 6 ? 1 : 0)
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filled = true
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filled = true
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elseif j <= 4
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elseif j <= 4
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if k <= 4
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if k <= 4
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@ -31,7 +31,7 @@ for j in 1:10
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elseif k == 5
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elseif k == 5
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push!(values, -1)
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push!(values, -1)
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filled = true
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filled = true
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elseif k <= 9 && k - j != 5
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elseif 7 <= k <= 10 && k - j != 6
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push!(values, 0)
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push!(values, 0)
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filled = true
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filled = true
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end
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end
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@ -39,10 +39,13 @@ for j in 1:10
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if j == 5
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if j == 5
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push!(values, -1)
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push!(values, -1)
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filled = true
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filled = true
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elseif j <= 9 && j - k != 5
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elseif 7 <= j <= 10 && j - k != 6
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push!(values, 0)
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push!(values, 0)
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filled = true
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filled = true
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end
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end
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elseif j == 6 && 7 <= k <= 10 || k == 6 && 7 <= j <= 10
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push!(values, 0)
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filled = true
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end
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end
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if filled
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if filled
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push!(J, j)
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push!(J, j)
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@ -56,12 +59,12 @@ gram = sparse(J, K, values)
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Random.seed!(99230)
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Random.seed!(99230)
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guess = hcat(
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guess = hcat(
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sqrt(1/BigFloat(3)) * BigFloat[
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sqrt(1/BigFloat(3)) * BigFloat[
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1 1 -1 -1 0
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1 1 -1 -1 0 0
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1 -1 1 -1 0
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1 -1 1 -1 0 0
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1 -1 -1 1 0
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1 -1 -1 1 0 0
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0 0 0 0 -1.5
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0 0 0 0 -1.5 -3
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1 1 1 1 -0.5
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1 1 1 1 -0.5 -1
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] + 0.2*Engine.rand_on_shell(fill(BigFloat(-1), 5)),
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] + 0.2*Engine.rand_on_shell(fill(BigFloat(-1), 6)),
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Engine.point([-1, -1, -1]),
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Engine.point([-1, -1, -1]),
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Engine.point([-1, 1, 1]),
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Engine.point([-1, 1, 1]),
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Engine.point([ 1, -1, 1]),
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Engine.point([ 1, -1, 1]),
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@ -69,8 +72,8 @@ guess = hcat(
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BigFloat[0, 0, 0, 0, 1]
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BigFloat[0, 0, 0, 0, 1]
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)
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)
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frozen = vcat(
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frozen = vcat(
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[CartesianIndex(4, k) for k in 6:9],
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[CartesianIndex(4, k) for k in 7:10],
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[CartesianIndex(j, 10) for j in 1:5]
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[CartesianIndex(j, 11) for j in 1:5]
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)
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)
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# complete the gram matrix
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# complete the gram matrix
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