Graphics Complexes: WQ, FS GraphicsComplex 1.2, 3.5, 5.6, 7.2, Red, Point 1, Point 2, Line 1, 2. Graphics Blue, PointSize 0.

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1 Graphics Complexes: WQ, FS 03 gc GraphicsComplex., 3.5, 5., 7., Red, Point, Point, Line, GraphicsComplex., 3.5, 5., 7., RGBColor, 0, 0, Point, Point, Line, Graphics Blue, PointSize 0.05, Thick, gc v, 0, 0,,, 0, 0, ; Graphics GraphicsComplex v, Polygon,, 3,, Graphics GraphicsComplex v, Line,, 3,,, v 0, 0, 0,, 0, 0,,, 0, 0,, 0,,, ; i,, 5,, 3, 5, 3,, 5,,, 5 ;

2 ElementeVonPlot.nb Graphics3D Opacity.8, Yellow, GraphicsComplex v, Polygon i, Graphics3D Thick, GraphicsComplex v, Line i, Use built in PolyhedronData : v PolyhedronData "Dodecahedron", "VertexCoordinates" ; Short i PolyhedronData "Dodecahedron", "FaceIndices" 5, 0, 9,,,,,,, 5, 8, 3, 7,,,,, 8,, 5, Graphics3D Yellow, GraphicsComplex v, Polygon i, Graphics3D Thick, GraphicsComplex v, Line i, PolyhedronData platokoerp PolyhedronData "Platonic" Cube, Dodecahedron, Icosahedron, Octahedron, Tetrahedron

3 ElementeVonPlot.nb 3 PolyhedronData "Cube", "Properties" AdjacentFaceIndices, AlternateNames, AlternateStandardNames, Amphichiral, Antiprism, Archimedean, ArchimedeanDual, Centroid, Chiral, Circumcenter, Circumradius, Circumsphere, Classes, Compound, Concave, Convex, Cuboid, DefaultOrientation, Deltahedron, DihedralAngleRules, DihedralAngles, Dipyramid, DualCompound, DualName, DualScale, EdgeCount, EdgeIndices, EdgeLengths, Edges, Equilateral, FaceCount, FaceCountRules, FaceIndices, Faces, GeneralizedDiameter, Hypercube, Image, Incenter, InertiaTensor, Information, Inradius, Insphere, Isohedron, Johnson, KeplerPoinsot, Midcenter, Midradius, Midsphere, MultipieceNetCoordinates, MultipieceNetFaceIndices, MultipieceNetImage, Name, NetCoordinates, NetCount, NetEdgeIndices, NetEdges, NetFaceIndices, NetFaces, NetGraph, NetImage, NotationRules, Orientations, Orthotope, Platonic, PlatonicDual, PolyhedronIndices, Prism, Pyramid, Quasiregular, RectangularParallelepiped, RegionFunction, Rhombohedron, Rigid, SchlaefliSymbol, SelfDual, Shaky, Simplex, SkeletonCoordinates, SkeletonGraph, SkeletonGraphName, SkeletonImage, SkeletonRules, SpaceFilling, StandardName, StandardNames, Stellation, StellationCount, SurfaceArea, SymmetryGroupString, Uniform, UniformDual, VertexCoordinates, VertexCount, VertexIndices, VertexSubsetHulls, Volume, WythoffSymbol, Zonohedron cube PolyhedronData "Cube", "Faces" GraphicsComplex,,,,,,,,,,,,,,,,,,,,,,,, Polygon 8,,,, 8,, 5, 7, 8, 7, 3,,, 3,,,, 3, 7, 5,,, 5, octa PolyhedronData "Octahedron", "Faces" GraphicsComplex, 0, 0, 0,, 0, 0, 0,, 0, 0,, 0,, 0,, 0, 0, Polygon, 5,,,,,,,,,, 5, 5,, 3, 5, 3,, 3,,,, 3,

4 ElementeVonPlot.nb Graphics3D cube, octa radii, PolyhedronData, "Inradius", PolyhedronData, "Circumradius" & platokoerp; Text Grid Prepend radii, "Körper", "Inkugelradius", "Umkugelradius", Dividers True, True, True, False, True, Spacings, Körper Inkugelradius Umkugelradius Cube 3 Dodecahedron Icosahedron Octahedron Tetrahedron 3 Setze verkleinertes Octahedron in durchsichtigen Würfel trans t_, g_graphicscomplex : GraphicsComplex DiagonalMatrix t, t, t. & g, g

5 ElementeVonPlot.nb 5 trans Sqrt, octa GraphicsComplex, 0, 0, 0,, 0, 0, 0,, 0, 0,, 0,, 0,, 0, 0, Polygon, 5,,,,,,,,,, 5, 5,, 3, 5, 3,, 3,,,, 3, Graphics3D Yellow, Opacity 0.3, cube, Green, trans Sqrt, octa, PlotRange All, Boxed False, Lighting White Verbinde Graphics und Numerik: Flaeche zwischen Kurven

6 ElementeVonPlot.nb f Sin x ; g x^3 3 x ; zweikurven Plot f, g, x, 3, 3, PlotStyle, Thick 3 3 x x. FindRoot f g, x, x x. FindRoot f g, x, 0 x3 x. FindRoot f g, x, Wir wollen das Gebiet straffieren Plot f, g, x, 3, 3, PlotStyle, Thick, Filling 3 3

7 ElementeVonPlot.nb 7 mit selbstgestrickter Schraffur Show zweikurven, Table Graphics Line x, f, x, g, x, x, x3, Nun die Integration links Integrate, x, x, x, y, f, g.0050 rechts Integrate, x, x, x3, y, g, f.00 flaeche rechts links.07 Kontrolle NIntegrate Abs f g, x, x, x3.07