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You \ can also scan the whole space but then you need to manually plot projections \ since you won\[CloseCurlyQuote]t be able to plot the 6 dimensional points. A good bonus exercise: Try \[OpenCurlyDoubleQuote]cutting\ \[CloseCurlyDoubleQuote] into the point cloud to see if the \ \[OpenCurlyDoubleQuote]bubbles\[CloseCurlyDoubleQuote] seen in \ Subspace\[Rule] {1,2,6} of the internal structure are hollow - they are!\ \>", "Subsection", CellChangeTimes->{{3.66208777996189*^9, 3.662087789659543*^9}, { 3.662087826858721*^9, 3.662087836214507*^9}, {3.739762597624301*^9, 3.739762799094303*^9}, {3.739762868135301*^9, 3.7397628937528286`*^9}, { 3.739762999426298*^9, 3.7397630409917135`*^9}, {3.739763348460045*^9, 3.7397634156700444`*^9}, {3.739765973996318*^9, 3.7397659962709017`*^9}}] }, Open ]], Cell[CellGroupData[{ Cell["\<\ The solution: The matrix set contains something like a fuzzy 2-sphere and \ something like squashed CP2. The two geometries were manually combined to \ create this exercise matrix set.\ \>", "Section", CellChangeTimes->{{3.662087480477339*^9, 3.662087504205538*^9}, { 3.6620877568334103`*^9, 3.662087764469164*^9}, {3.7397625290753064`*^9, 3.739762575794301*^9}, {3.7397634443431325`*^9, 3.7397634547750616`*^9}, { 3.7397645990207043`*^9, 3.7397646456907096`*^9}, {3.739766100485984*^9, 3.739766127409911*^9}, {3.7397661905497103`*^9, 3.7397662150690985`*^9}}], Cell["\<\ For some more information on those two matrix geometries individually, see \ the paper introducing the original BProbe: https://arxiv.org/abs/1601.08007\ \>", "Subsection", CellChangeTimes->{{3.66208777996189*^9, 3.662087789659543*^9}, { 3.662087826858721*^9, 3.662087836214507*^9}, {3.739762597624301*^9, 3.739762799094303*^9}, {3.739762868135301*^9, 3.7397628937528286`*^9}, { 3.739762999426298*^9, 3.7397630409917135`*^9}, {3.739763348460045*^9, 3.7397634156700444`*^9}, {3.739765973996318*^9, 3.7397659962709017`*^9}, 3.7397662103896875`*^9}] }, Open ]] }, Open ]] }, WindowSize->{1280, 869}, WindowMargins->{{-8, Automatic}, {Automatic, -8}}, FrontEndVersion->"11.0 for Microsoft Windows (64-bit) (September 21, 2016)", StyleDefinitions->"Default.nb" ] (* End of Notebook Content *) (* Internal cache information *) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[580, 22, 312, 5, 166, "Title"], Cell[CellGroupData[{ Cell[917, 31, 323, 6, 70, "Section"], Cell[1243, 39, 5702, 161, 305, "Input"] }, Open ]], Cell[CellGroupData[{ Cell[6982, 205, 306, 5, 70, "Section"], Cell[CellGroupData[{ Cell[7313, 214, 331, 7, 30, "Input"], Cell[7647, 223, 1094, 25, 22, "Print"] }, Open ]], Cell[CellGroupData[{ Cell[8778, 253, 411, 8, 30, "Input"], Cell[9192, 263, 70, 1, 30, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[9311, 270, 257, 3, 70, "Section"], Cell[CellGroupData[{ Cell[9593, 277, 324, 6, 49, "Subsection"], Cell[CellGroupData[{ Cell[9942, 287, 607, 12, 30, "Input"], Cell[10552, 301, 6036, 162, 419, "Print"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[16637, 469, 622, 10, 109, "Subsection"], Cell[CellGroupData[{ Cell[17284, 483, 76, 1, 30, "Input"], Cell[17363, 486, 23047, 459, 238, "Print"] }, Open ]] }, Open ]], Cell[40437, 949, 590, 9, 109, "Subsection"], Cell[CellGroupData[{ Cell[41052, 962, 338, 4, 41, "Subsection"], Cell[CellGroupData[{ Cell[41415, 970, 1029, 16, 30, "Input"], Cell[42447, 988, 2235, 52, 103, "Print"] }, Open ]], Cell[CellGroupData[{ Cell[44719, 1045, 837, 16, 30, "Input"], Cell[45559, 1063, 58603, 970, 335, "Output"] }, Open ]], Cell[104177, 2036, 719, 17, 50, "Input"] }, Open ]], Cell[CellGroupData[{ Cell[104933, 2058, 381, 5, 49, "Subsection"], Cell[105317, 2065, 176, 4, 30, "Input"] }, Open ]], Cell[CellGroupData[{ Cell[105530, 2074, 732, 12, 109, "Subsection"], Cell[CellGroupData[{ Cell[106287, 2090, 708, 14, 30, "Input"], Cell[106998, 2106, 6019, 162, 419, "Print"] }, Open ]], Cell[CellGroupData[{ Cell[113054, 2273, 1076, 16, 30, "Input"], Cell[114133, 2291, 2280, 52, 103, "Print"] }, Open ]], Cell[CellGroupData[{ Cell[116450, 2348, 837, 16, 30, "Input"], Cell[117290, 2366, 8730, 151, 335, "Output"] }, Open ]], Cell[126035, 2520, 719, 17, 50, "Input"] }, Open ]], Cell[CellGroupData[{ Cell[126791, 2542, 435, 6, 49, "Subsection"], Cell[127229, 2550, 225, 5, 30, "Input"] }, Open ]], Cell[CellGroupData[{ Cell[127491, 2560, 914, 14, 139, "Subsection"], Cell[128408, 2576, 2136136, 35038, 992, "Input"] }, Open ]], Cell[2264559, 37617, 11471, 206, 429, "Subsection"], Cell[CellGroupData[{ Cell[2276055, 37827, 2081344, 34132, 698, "Subsection"], Cell[4357402, 71961, 1228292, 20156, 803, "Input"] }, Open ]], Cell[5585709, 92120, 883, 14, 169, "Subsection"] }, Open ]], Cell[CellGroupData[{ Cell[5586629, 92139, 581, 9, 111, "Section"], Cell[5587213, 92150, 575, 9, 79, "Subsection"] }, Open ]] }, Open ]] } ] *)