figured it out, working on a solution
This commit is contained in:
William Ball
parent
f0c5986526
commit
5e294f1e4f
3 changed files with 31 additions and 49 deletions
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@ -1,27 +1,30 @@
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{{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, {2, 1, 0, 0, 0,
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3, -1, 0}, {3, 0, 0, 0, 0, 3, -1, 0}, {1, -1, 0, 0, 0, 1, 0,
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0}, {0, 0, 0, 0, 0, 1, 0, 0}, {2, 0, 0, 0, 0, 4, -1, 0}, {3, -1, 0,
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0, 0, 4, -1, 0}}, {{1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0,
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0}, {0, 0, 1, 0, 0, 0, 0, 0}, {1, -1, 1, 0, 0, 0, 0, 0}, {3, 1, 2,
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0, 0, -1, 0, 0}, {2, 2, 2, 0, 0, -1, 0, 0}, {2, 1, 3, 0, 0, -1, 0,
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0}, {3, 0, 3, 0, 0, -1, 0, 0}}, {{1, 0, 0, 0, 0, 0, 0, 0}, {3, 0,
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0, 0, 0, 0, -1, 3}, {2, 0, 0, 1, 0, 0, -1, 3}, {0, 0, 0, 1, 0, 0,
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0, 0}, {1, 0, 0, -1, 0, 0, 0, 1}, {3, 0, 0, -1, 0, 0, -1, 4}, {2,
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0, 0, 0, 0, 0, -1, 4}, {0, 0, 0, 0, 0, 0, 0, 1}}, {{-1, 4, 0, 0, 0,
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0, 2, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, -1, 1,
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0}, {-1, 4, 0, 0, 0, -1, 3, 0}, {-1, 3, 0, 0, 0, 1, 2, 0}, {0, 0,
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0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, {-1, 3, 0, 0, 0, 0, 3,
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0}}, {{0, 0, 0, 3, 0, -1, 3, 0}, {0, 0, 0, 3, 0, -1, 4, -1}, {0,
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0, 0, 1, 0, 0, 1, -1}, {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 2,
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0, -1, 3, 1}, {0, 0, 0, 2, 0, -1, 4, 0}, {0, 0, 0, 0, 0, 0, 1,
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0}, {0, 0, 0, 0, 0, 0, 0, 1}}, {{0, 0, 0, -1, 0, 3, -1, 4}, {0, 0,
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0, -1, 0, 3, 0, 3}, {0, 0, 0, -1, 0, 2, 1, 3}, {0, 0, 0, -1, 0, 2,
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0, 4}, {0, 0, 0, 0, 0, 1, -1, 1}, {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0,
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0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1}}}
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{{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, {2, 1, 0, 0, 0, 3, -1,
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0}, {3, 0, 0, 0, 0, 3, -1, 0}, {1, -1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0,
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0}, {2, 0, 0, 0, 0, 4, -1, 0}, {3, -1, 0, 0, 0, 4, -1, 0}}, {{1, 0, 0, 0, 0, 0,
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0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, {1, -1, 1, 0, 0, 0,
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0, 0}, {3, 1, 2, 0, 0, -1, 0, 0}, {2, 2, 2, 0, 0, -1, 0, 0}, {2, 1, 3, 0, 0,
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-1, 0, 0}, {3, 0, 3, 0, 0, -1, 0, 0}}, {{1, 0, 0, 0, 0, 0, 0, 0}, {3, 0, 0, 0,
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0, 0, -1, 3}, {2, 0, 0, 1, 0, 0, -1, 3}, {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0,
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-1, 0, 0, 0, 1}, {3, 0, 0, -1, 0, 0, -1, 4}, {2, 0, 0, 0, 0, 0, -1, 4}, {0, 0,
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0, 0, 0, 0, 0, 1}}, {{-1, 4, 0, 0, 0, 0, 2, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, {0,
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1, 0, 0, 0, -1, 1, 0}, {-1, 4, 0, 0, 0, -1, 3, 0}, {-1, 3, 0, 0, 0, 1, 2, 0},
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{0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, {-1, 3, 0, 0, 0, 0, 3, 0}},
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{{0, 0, 0, 3, 0, -1, 3, 0}, {0, 0, 0, 3, 0, -1, 4, -1}, {0, 0, 0, 1, 0, 0, 1,
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-1}, {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 2, 0, -1, 3, 1}, {0, 0, 0, 2, 0, -1,
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4, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1}}, {{0, 0, 0, -1, 0,
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3, -1, 4}, {0, 0, 0, -1, 0, 3, 0, 3}, {0, 0, 0, -1, 0, 2, 1, 3}, {0, 0, 0, -1,
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0, 2, 0, 4}, {0, 0, 0, 0, 0, 1, -1, 1}, {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0,
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0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1}}}
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{{22., 80., -28.2843, 31.}, {12., 48., -16.9706, 17.}, {4.,
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20., -5.65685, 7.}, {14., 52., -16.9706, 21.}, {16., 52., -19.799,
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21.}, {6., 20., -8.48528, 7.}, {-2., -8., 2.82843, -3.}, {8.,
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24., -8.48528, 11.}}
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{{0., 8.485281374238571, -1., 0.}, {0., -2.8284271247461903,
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1., 0.}, {1.4142135623730951, 18.38477631085024, -5.,
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1.4142135623730951}, {1.4142135623730951,
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7.0710678118654755, -3.,
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1.4142135623730951}, {1.4142135623730951,
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18.38477631085024, -5., -1.4142135623730951},
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{1.4142135623730951,
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7.0710678118654755, -3., -1.4142135623730951},
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{2.8284271247461903, 16.970562748477143, -7.,
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0.}, {2.8284271247461903, 28.284271247461902, -9., 0.}}
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{{0, 1, 5, 4}, {0, 3, 2, 1}, {0, 4, 7, 3}, {1, 2, 6, 5}, {2, 3, 7, 6}, {4, 5, 6, 7}}
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@ -1,25 +1,3 @@
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{{{1., 0, 0, 0, 0, 0}, {0, 1., 0, 0, 0, 0}, {5.23607, 3.61803, 0,
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0, -1., 3.61803}, {8.47214, 4.23607, 0, 0, -1.61803,
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6.8541}, {5.23607, 2., 0, 0, -1., 5.23607}, {0, 0, 0, 0, 0,
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1.}}, {{1., 0, 0, 0, 0, 0}, {0, 1., 0, 0, 0, 0}, {0, 0, 1., 0, 0,
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0}, {5.23607, 3.61803, 3.61803, 0, 0, -1.}, {8.47214, 6.8541,
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4.23607, 0, 0, -1.61803}, {5.23607, 5.23607, 2., 0, 0, -1.}}, {{1.,
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0, 0, 0, 0, 0}, {5.23607, 0, 3.61803, 3.61803, -1., 0}, {0, 0, 1.,
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0, 0, 0}, {0, 0, 0, 1., 0, 0}, {5.23607, 0, 2., 5.23607, -1.,
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0}, {8.47214, 0, 4.23607, 6.8541, -1.61803, 0}}, {{1., 0, 0, 0, 0,
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0}, {8.47214, 0, 0, 4.23607, 6.8541, -1.61803}, {5.23607, 0, 0,
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3.61803, 3.61803, -1.}, {0, 0, 0, 1., 0, 0}, {0, 0, 0, 0, 1.,
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0}, {5.23607, 0, 0, 2., 5.23607, -1.}}, {{1., 0, 0, 0, 0,
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0}, {5.23607, 0, -0.618034, 0, 2.61803, 4.23607}, {8.47214, 0, -1.,
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0, 5.23607, 5.23607}, {5.23607, 0, -0.618034, 0, 4.23607,
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2.61803}, {0, 0, 0, 0, 1., 0}, {0, 0, 0, 0, 0,
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1.}}, {{-1., -0.472136, 0.763932, 0, 0, 0.763932}, {0, 1., 0, 0, 0,
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0}, {0, 0, 1., 0, 0, 0}, {0, -1.61803, 1.61803, 0, 0,
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1.}, {0, -1.61803, 1., 0, 0, 1.61803}, {0, 0, 0, 0, 0, 1.}}}
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{{12.4721, 10.4721, -6.47214, 9.47214}, {44.3607, 44.3607, -27.4164,
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34.8885}, {10.4721, 12.4721, -6.47214,
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9.47214}, {-5.23607, -5.23607, 3.23607, -4.23607}, {18.9443,
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15.7082, -11.7082, 12.7082}, {49.5967, 46.3607, -30.6525, 36.8885}}
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{{0, 1, 5}, {0, 2, 1}, {0, 3, 2}, {0, 4, 3}, {0, 5, 4}, {1, 2, 3, 4, 5}}
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{Table[If[j == k, 1, 0], {j, 1}, {k, DeleteDuplicates[Join[allVertices, {1}]]}] . Transpose[RowReduce[Transpose[Transpose[Join[{{1}}[[RandomSample[3, PlanarGraph[AdjacencyGraph[Automatic, pyramidG[5.], VertexLabels -> "Name"]], 1]]], {{1}}]]] . pyramidG[5.] . Transpose[Join[{{1}}[[RandomSample[3, PlanarGraph[AdjacencyGraph[Automatic, pyramidG[5.], VertexLabels -> "Name"]], 1]]], {{1}}]]][[1 ;; MatrixRank[Transpose[Transpose[Join[{{1}}[[RandomSample[3, PlanarGraph[AdjacencyGraph[Automatic, pyramidG[5.], VertexLabels -> "Name"]], 1]]], {{1}}]]] . pyramidG[5.] . Transpose[Join[{{1}}[[RandomSample[3, PlanarGraph[AdjacencyGraph[Automatic, pyramidG[5.], VertexLabels -> "Name"]], 1]]], {{1}}]]]]]] . {{1, 0, 0}, {0, 1, 0}, {0 /. Table[Subscript[b, i] -> If[i == curr, 1, 0], {i, RandomSample[3, PlanarGraph[AdjacencyGraph[Automatic, pyramidG[5.], VertexLabels -> "Name"]], 1]}], {curr, RandomSample[3, PlanarGraph[AdjacencyGraph[Automatic, pyramidG[5.], VertexLabels -> "Name"]], 1]}, 0}} . Transpose[Table[If[j == k, 1, 0], {j, 1}, {k, allVertices}]]}
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pyramidTuple[5.]
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-1 + FindFace[PlanarGraph[AdjacencyGraph[Automatic, pyramidG[5], VertexLabels -> "Name"]]]
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@ -87,6 +87,7 @@ fn main() {
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.clone()
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.pseudo_inverse(1e-5)
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.expect(format!("Invalid root matrix {}", c).as_str());
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println!("{}", c);
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println!("{}", ct);
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generators = generators
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