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+\BOOKMARK [0][]{chapter.1}{1 Basics for the package}{}% 1
+\BOOKMARK [1][-]{section.1.1}{1.1 Constitution of the package \205 Distribution}{chapter.1}% 2
+\BOOKMARK [1][-]{section.1.2}{1.2 Installation hints}{chapter.1}% 3
+\BOOKMARK [1][-]{section.1.3}{1.3 Preface}{chapter.1}% 4
+\BOOKMARK [1][-]{section.1.4}{1.4 Presentation}{chapter.1}% 5
+\BOOKMARK [1][-]{section.1.5}{1.5 Changes by comparison with previous versions}{chapter.1}% 6
+\BOOKMARK [2][-]{subsection.1.5.1}{1.5.1 Changes compared to version 3.0}{section.1.5}% 7
+\BOOKMARK [2][-]{subsection.1.5.2}{1.5.2 Changes compared to version 2.0}{section.1.5}% 8
+\BOOKMARK [0][]{chapter.2}{2 Setting the layout of the scenery}{}% 9
+\BOOKMARK [1][-]{section.2.1}{2.1 Choice of the view point}{chapter.2}% 10
+\BOOKMARK [1][-]{section.2.2}{2.2 The definition of the option Decran}{chapter.2}% 11
+\BOOKMARK [1][-]{section.2.3}{2.3 Lighting by a point light source}{chapter.2}% 12
+\BOOKMARK [1][-]{section.2.4}{2.4 The axes in 3d}{chapter.2}% 13
+\BOOKMARK [0][]{chapter.3}{3 Predefined solids and their positioning}{}% 14
+\BOOKMARK [1][-]{section.3.1}{3.1 The predefined solids and their parameters}{chapter.3}% 15
+\BOOKMARK [1][-]{section.3.2}{3.2 Positioning a solid}{chapter.3}% 16
+\BOOKMARK [2][-]{subsection.3.2.1}{3.2.1 Translation}{section.3.2}% 17
+\BOOKMARK [2][-]{subsection.3.2.2}{3.2.2 Rotation}{section.3.2}% 18
+\BOOKMARK [0][]{chapter.4}{4 More options of \134psSolid}{}% 19
+\BOOKMARK [1][-]{section.4.1}{4.1 Commands for drawing}{chapter.4}% 20
+\BOOKMARK [1][-]{section.4.2}{4.2 Emptying a solid}{chapter.4}% 21
+\BOOKMARK [1][-]{section.4.3}{4.3 Numbering of the faces}{chapter.4}% 22
+\BOOKMARK [1][-]{section.4.4}{4.4 Removing faces}{chapter.4}% 23
+\BOOKMARK [1][-]{section.4.5}{4.5 Numbering of the vertices}{chapter.4}% 24
+\BOOKMARK [1][-]{section.4.6}{4.6 Colours and the nuances of a colour}{chapter.4}% 25
+\BOOKMARK [2][-]{subsection.4.6.1}{4.6.1 Predefined colours by the option dvipsnames}{section.4.6}% 26
+\BOOKMARK [2][-]{subsection.4.6.2}{4.6.2 Predefined colours by the option svgnames}{section.4.6}% 27
+\BOOKMARK [2][-]{subsection.4.6.3}{4.6.3 Nuances in the colour scheme of HSB, saturation and maximum brilliance}{section.4.6}% 28
+\BOOKMARK [2][-]{subsection.4.6.4}{4.6.4 Nuances in the colour scheme of HSB, saturation and fixed brilliance}{section.4.6}% 29
+\BOOKMARK [2][-]{subsection.4.6.5}{4.6.5 Nuances in the colour scheme of HSB, gneral case}{section.4.6}% 30
+\BOOKMARK [2][-]{subsection.4.6.6}{4.6.6 Nuances in the colour scheme of RGB}{section.4.6}% 31
+\BOOKMARK [2][-]{subsection.4.6.7}{4.6.7 Nuances in the colour scheme of CMYK}{section.4.6}% 32
+\BOOKMARK [2][-]{subsection.4.6.8}{4.6.8 Nuances between 2 named colours}{section.4.6}% 33
+\BOOKMARK [2][-]{subsection.4.6.9}{4.6.9 Deactivation of the colour application}{section.4.6}% 34
+\BOOKMARK [1][-]{section.4.7}{4.7 Colouring some single faces}{chapter.4}% 35
+\BOOKMARK [1][-]{section.4.8}{4.8 Nuances of transparency}{chapter.4}% 36
+\BOOKMARK [1][-]{section.4.9}{4.9 Definition of grating}{chapter.4}% 37
+\BOOKMARK [2][-]{subsection.4.9.1}{4.9.1 The cube}{section.4.9}% 38
+\BOOKMARK [2][-]{subsection.4.9.2}{4.9.2 Sphere}{section.4.9}% 39
+\BOOKMARK [2][-]{subsection.4.9.3}{4.9.3 Cylinders}{section.4.9}% 40
+\BOOKMARK [2][-]{subsection.4.9.4}{4.9.4 Torus}{section.4.9}% 41
+\BOOKMARK [1][-]{section.4.10}{4.10 The modes}{chapter.4}% 42
+\BOOKMARK [1][-]{section.4.11}{4.11 Truncate a solid's vertices}{chapter.4}% 43
+\BOOKMARK [1][-]{section.4.12}{4.12 Hollowing out a solid's faces}{chapter.4}% 44
+\BOOKMARK [1][-]{section.4.13}{4.13 Chamfering a solid}{chapter.4}% 45
+\BOOKMARK [1][-]{section.4.14}{4.14 The option transform}{chapter.4}% 46
+\BOOKMARK [2][-]{subsection.4.14.1}{4.14.1 Identical scaling factor in the three coordinates}{section.4.14}% 47
+\BOOKMARK [2][-]{subsection.4.14.2}{4.14.2 Different scaling factors for the three coordinates}{section.4.14}% 48
+\BOOKMARK [2][-]{subsection.4.14.3}{4.14.3 Transformation associated with the distance to the origin}{section.4.14}% 49
+\BOOKMARK [2][-]{subsection.4.14.4}{4.14.4 Bending and torsion of beams}{section.4.14}% 50
+\BOOKMARK [1][-]{section.4.15}{4.15 Lines of intersecting planes}{chapter.4}% 51
+\BOOKMARK [0][]{chapter.5}{5 Usage of external files}{}% 52
+\BOOKMARK [1][-]{section.5.1}{5.1 Using the data file types .obj and .off}{chapter.5}% 53
+\BOOKMARK [2][-]{subsection.5.1.1}{5.1.1 .dat files \(specific to pst-solides3d\)}{section.5.1}% 54
+\BOOKMARK [2][-]{subsection.5.1.2}{5.1.2 .obj files}{section.5.1}% 55
+\BOOKMARK [2][-]{subsection.5.1.3}{5.1.3 .off files}{section.5.1}% 56
+\BOOKMARK [0][]{chapter.6}{6 Some special objects}{}% 57
+\BOOKMARK [1][-]{section.6.1}{6.1 The grid}{chapter.6}% 58
+\BOOKMARK [1][-]{section.6.2}{6.2 The object point}{chapter.6}% 59
+\BOOKMARK [2][-]{subsection.6.2.1}{6.2.1 Definition via coordinates}{section.6.2}% 60
+\BOOKMARK [2][-]{subsection.6.2.2}{6.2.2 Some other definitions}{section.6.2}% 61
+\BOOKMARK [1][-]{section.6.3}{6.3 The object vecteur}{chapter.6}% 62
+\BOOKMARK [2][-]{subsection.6.3.1}{6.3.1 Definition with components}{section.6.3}% 63
+\BOOKMARK [2][-]{subsection.6.3.2}{6.3.2 Definition with 2 points}{section.6.3}% 64
+\BOOKMARK [2][-]{subsection.6.3.3}{6.3.3 Some other definitions of a vector}{section.6.3}% 65
+\BOOKMARK [1][-]{section.6.4}{6.4 The object plan}{chapter.6}% 66
+\BOOKMARK [2][-]{subsection.6.4.1}{6.4.1 Presentation: type plan and type solid }{section.6.4}% 67
+\BOOKMARK [2][-]{subsection.6.4.2}{6.4.2 Defining an oriented plane}{section.6.4}% 68
+\BOOKMARK [2][-]{subsection.6.4.3}{6.4.3 Special options}{section.6.4}% 69
+\BOOKMARK [2][-]{subsection.6.4.4}{6.4.4 Defining a plane with a cartesian equation}{section.6.4}% 70
+\BOOKMARK [2][-]{subsection.6.4.5}{6.4.5 Defining a plane using a normal vector and a point}{section.6.4}% 71
+\BOOKMARK [2][-]{subsection.6.4.6}{6.4.6 Defining a plane from a face of a solid}{section.6.4}% 72
+\BOOKMARK [1][-]{section.6.5}{6.5 The object geode}{chapter.6}% 73
+\BOOKMARK [2][-]{subsection.6.5.1}{6.5.1 Mathematical presentation}{section.6.5}% 74
+\BOOKMARK [2][-]{subsection.6.5.2}{6.5.2 Construction with pst-solides3d}{section.6.5}% 75
+\BOOKMARK [2][-]{subsection.6.5.3}{6.5.3 Some examples of geodes and their duals}{section.6.5}% 76
+\BOOKMARK [2][-]{subsection.6.5.4}{6.5.4 The parameters of the geodes}{section.6.5}% 77
+\BOOKMARK [2][-]{subsection.6.5.5}{6.5.5 Advice for a `fast' construction of a geode}{section.6.5}% 78
+\BOOKMARK [2][-]{subsection.6.5.6}{6.5.6 Some other examples}{section.6.5}% 79
+\BOOKMARK [0][]{chapter.7}{7 Generating some new solids}{}% 80
+\BOOKMARK [1][-]{section.7.1}{7.1 The jps code}{chapter.7}% 81
+\BOOKMARK [1][-]{section.7.2}{7.2 Defining a function}{chapter.7}% 82
+\BOOKMARK [1][-]{section.7.3}{7.3 Curves of functions from R in R3}{chapter.7}% 83
+\BOOKMARK [1][-]{section.7.4}{7.4 Tubes}{chapter.7}% 84
+\BOOKMARK [2][-]{subsection.7.4.1}{7.4.1 Usage with PSTricks}{section.7.4}% 85
+\BOOKMARK [2][-]{subsection.7.4.2}{7.4.2 Usage with \134codejps}{section.7.4}% 86
+\BOOKMARK [2][-]{subsection.7.4.3}{7.4.3 Improving the speed of readout}{section.7.4}% 87
+\BOOKMARK [2][-]{subsection.7.4.4}{7.4.4 Some other examples}{section.7.4}% 88
+\BOOKMARK [1][-]{section.7.5}{7.5 The prism}{chapter.7}% 89
+\BOOKMARK [1][-]{section.7.6}{7.6 Construction from scratch}{chapter.7}% 90
+\BOOKMARK [2][-]{subsection.7.6.1}{7.6.1 Example 1: a house}{section.7.6}% 91
+\BOOKMARK [2][-]{subsection.7.6.2}{7.6.2 Example 2: a hyperboloid with a fixed radius}{section.7.6}% 92
+\BOOKMARK [2][-]{subsection.7.6.3}{7.6.3 Example 3: importing external files}{section.7.6}% 93
+\BOOKMARK [1][-]{section.7.7}{7.7 One- and two-sided solids}{chapter.7}% 94
+\BOOKMARK [2][-]{subsection.7.7.1}{7.7.1 Triangular `faces'}{section.7.7}% 95
+\BOOKMARK [2][-]{subsection.7.7.2}{7.7.2 `face' defined by a function}{section.7.7}% 96
+\BOOKMARK [1][-]{section.7.8}{7.8 Solid strip}{chapter.7}% 97
+\BOOKMARK [2][-]{subsection.7.8.1}{7.8.1 A simple folding screen}{section.7.8}% 98
+\BOOKMARK [2][-]{subsection.7.8.2}{7.8.2 A sinusoidal folding screen}{section.7.8}% 99
+\BOOKMARK [2][-]{subsection.7.8.3}{7.8.3 A corrugated surface}{section.7.8}% 100
+\BOOKMARK [2][-]{subsection.7.8.4}{7.8.4 An asteroidal folding screen: version 1}{section.7.8}% 101
+\BOOKMARK [2][-]{subsection.7.8.5}{7.8.5 An asteroidal folding screen: version 2}{section.7.8}% 102
+\BOOKMARK [1][-]{section.7.9}{7.9 Solid rings}{chapter.7}% 103
+\BOOKMARK [2][-]{subsection.7.9.1}{7.9.1 Predefined command: the ring with a rectangular section}{section.7.9}% 104
+\BOOKMARK [2][-]{subsection.7.9.2}{7.9.2 Example 1: a simple ring with a triangular section}{section.7.9}% 105
+\BOOKMARK [2][-]{subsection.7.9.3}{7.9.3 Example 2: a ring with a variable triangular section}{section.7.9}% 106
+\BOOKMARK [2][-]{subsection.7.9.4}{7.9.4 Example 3: a ring with a``tyre''-like section: cylindric ring with chamfered edges}{section.7.9}% 107
+\BOOKMARK [2][-]{subsection.7.9.5}{7.9.5 Example 4: an empty bobbin}{section.7.9}% 108
+\BOOKMARK [2][-]{subsection.7.9.6}{7.9.6 Some other rings}{section.7.9}% 109
+\BOOKMARK [1][-]{section.7.10}{7.10 Generalization of the notion of a cylinder and a cone}{chapter.7}% 110
+\BOOKMARK [2][-]{subsection.7.10.1}{7.10.1 Cylinder or cylindric area}{section.7.10}% 111
+\BOOKMARK [2][-]{subsection.7.10.2}{7.10.2 Cone or conic area}{section.7.10}% 112
+\BOOKMARK [1][-]{section.7.11}{7.11 Parameterised surfaces}{chapter.7}% 113
+\BOOKMARK [2][-]{subsection.7.11.1}{7.11.1 The method}{section.7.11}% 114
+\BOOKMARK [2][-]{subsection.7.11.2}{7.11.2 Example 1: a sea shell}{section.7.11}% 115
+\BOOKMARK [2][-]{subsection.7.11.3}{7.11.3 Example 2: a helix}{section.7.11}% 116
+\BOOKMARK [2][-]{subsection.7.11.4}{7.11.4 Example 3: a cone}{section.7.11}% 117
+\BOOKMARK [2][-]{subsection.7.11.5}{7.11.5 An advised website}{section.7.11}% 118
+\BOOKMARK [0][]{chapter.8}{8 Surfaces defined by a function of the form z=f\(x,y\)}{}% 119
+\BOOKMARK [1][-]{section.8.1}{8.1 Presentation}{chapter.8}% 120
+\BOOKMARK [1][-]{section.8.2}{8.2 Example 1: a saddle}{chapter.8}% 121
+\BOOKMARK [1][-]{section.8.3}{8.3 Example 2: a saddle without a grid}{chapter.8}% 122
+\BOOKMARK [1][-]{section.8.4}{8.4 Example 3: a paraboloid}{chapter.8}% 123
+\BOOKMARK [1][-]{section.8.5}{8.5 Example 4: a sinusoidal wave}{chapter.8}% 124
+\BOOKMARK [1][-]{section.8.6}{8.6 Example 5: another sinusoidal wave}{chapter.8}% 125
+\BOOKMARK [1][-]{section.8.7}{8.7 Example 6: a hyperbolic paraboloid with the equation z = xy}{chapter.8}% 126
+\BOOKMARK [1][-]{section.8.8}{8.8 Example 7: a surface with the equation z = xy\(x2+y2\)}{chapter.8}% 127
+\BOOKMARK [1][-]{section.8.9}{8.9 Example 8: a surface with the equation z = \(1-x2+y22\)2}{chapter.8}% 128
+\BOOKMARK [0][]{chapter.9}{9 Advanced usage}{}% 129
+\BOOKMARK [1][-]{section.9.1}{9.1 Naming a solid}{chapter.9}% 130
+\BOOKMARK [1][-]{section.9.2}{9.2 Sectioning a solid with a plane}{chapter.9}% 131
+\BOOKMARK [2][-]{subsection.9.2.1}{9.2.1 Drawing the intersection between a plane and a solid}{section.9.2}% 132
+\BOOKMARK [2][-]{subsection.9.2.2}{9.2.2 Slicing a solid}{section.9.2}% 133
+\BOOKMARK [2][-]{subsection.9.2.3}{9.2.3 Slice of a pyramid}{section.9.2}% 134
+\BOOKMARK [2][-]{subsection.9.2.4}{9.2.4 Slicing an octahedron with a plane parallel to one of its faces}{section.9.2}% 135
+\BOOKMARK [2][-]{subsection.9.2.5}{9.2.5 Slices of a cube}{section.9.2}% 136
+\BOOKMARK [2][-]{subsection.9.2.6}{9.2.6 Multiple sections}{section.9.2}% 137
+\BOOKMARK [2][-]{subsection.9.2.7}{9.2.7 Sections of a torus}{section.9.2}% 138
+\BOOKMARK [2][-]{subsection.9.2.8}{9.2.8 Some more examples}{section.9.2}% 139
+\BOOKMARK [1][-]{section.9.3}{9.3 Fusing solids}{chapter.9}% 140
+\BOOKMARK [1][-]{section.9.4}{9.4 Fusing with jps code}{chapter.9}% 141
+\BOOKMARK [2][-]{subsection.9.4.1}{9.4.1 Using jps code}{section.9.4}% 142
+\BOOKMARK [2][-]{subsection.9.4.2}{9.4.2 A chloride ion}{section.9.4}% 143
+\BOOKMARK [2][-]{subsection.9.4.3}{9.4.3 A prototype of a vehicle}{section.9.4}% 144
+\BOOKMARK [2][-]{subsection.9.4.4}{9.4.4 A wheel \205 or a space station}{section.9.4}% 145
+\BOOKMARK [2][-]{subsection.9.4.5}{9.4.5 Intersection of two cylinders}{section.9.4}% 146
+\BOOKMARK [2][-]{subsection.9.4.6}{9.4.6 Intersection between a sphere and a cylinder}{section.9.4}% 147
+\BOOKMARK [2][-]{subsection.9.4.7}{9.4.7 Two linked rings}{section.9.4}% 148
+\BOOKMARK [2][-]{subsection.9.4.8}{9.4.8 The methane molecule: wooden model}{section.9.4}% 149
+\BOOKMARK [2][-]{subsection.9.4.9}{9.4.9 The thiosulphate ion}{section.9.4}% 150
+\BOOKMARK [0][]{chapter.10}{10 Interaction with PSTricks}{}% 151
+\BOOKMARK [1][-]{section.10.1}{10.1 Positioning a named point}{chapter.10}% 152
+\BOOKMARK [1][-]{section.10.2}{10.2 Drawing a line}{chapter.10}% 153
+\BOOKMARK [1][-]{section.10.3}{10.3 Drawing a polygon}{chapter.10}% 154
+\BOOKMARK [1][-]{section.10.4}{10.4 Transformations to a point}{chapter.10}% 155
+\BOOKMARK [1][-]{section.10.5}{10.5 Adding dimensions to the scenery}{chapter.10}% 156
+\BOOKMARK [0][]{chapter.11}{11 Projections}{}% 157
+\BOOKMARK [1][-]{section.11.1}{11.1 Presentation}{chapter.11}% 158
+\BOOKMARK [1][-]{section.11.2}{11.2 The parameter visibility}{chapter.11}% 159
+\BOOKMARK [1][-]{section.11.3}{11.3 Defining a projection plane}{chapter.11}% 160
+\BOOKMARK [1][-]{section.11.4}{11.4 Points}{chapter.11}% 161
+\BOOKMARK [2][-]{subsection.11.4.1}{11.4.1 Direct definition}{section.11.4}% 162
+\BOOKMARK [2][-]{subsection.11.4.2}{11.4.2 Labels}{section.11.4}% 163
+\BOOKMARK [2][-]{subsection.11.4.3}{11.4.3 Naming and memorising a point}{section.11.4}% 164
+\BOOKMARK [2][-]{subsection.11.4.4}{11.4.4 Some other definitions}{section.11.4}% 165
+\BOOKMARK [1][-]{section.11.5}{11.5 Vectors}{chapter.11}% 166
+\BOOKMARK [2][-]{subsection.11.5.1}{11.5.1 Direct definition}{section.11.5}% 167
+\BOOKMARK [2][-]{subsection.11.5.2}{11.5.2 Some more definitions}{section.11.5}% 168
+\BOOKMARK [1][-]{section.11.6}{11.6 Lines}{chapter.11}% 169
+\BOOKMARK [2][-]{subsection.11.6.1}{11.6.1 Direct definition}{section.11.6}% 170
+\BOOKMARK [2][-]{subsection.11.6.2}{11.6.2 Some other definitions}{section.11.6}% 171
+\BOOKMARK [1][-]{section.11.7}{11.7 Circles}{chapter.11}% 172
+\BOOKMARK [2][-]{subsection.11.7.1}{11.7.1 Direct definition}{section.11.7}% 173
+\BOOKMARK [2][-]{subsection.11.7.2}{11.7.2 Some other definitions}{section.11.7}% 174
+\BOOKMARK [1][-]{section.11.8}{11.8 Polygons}{chapter.11}% 175
+\BOOKMARK [2][-]{subsection.11.8.1}{11.8.1 Direct definition}{section.11.8}% 176
+\BOOKMARK [1][-]{section.11.9}{11.9 Lines}{chapter.11}% 177
+\BOOKMARK [2][-]{subsection.11.9.1}{11.9.1 Direct definition}{section.11.9}% 178
+\BOOKMARK [1][-]{section.11.10}{11.10 Right angle}{chapter.11}% 179
+\BOOKMARK [2][-]{subsection.11.10.1}{11.10.1 Direct definition}{section.11.10}% 180
+\BOOKMARK [1][-]{section.11.11}{11.11 Curves of real-valued and parameterised functions}{chapter.11}% 181
+\BOOKMARK [2][-]{subsection.11.11.1}{11.11.1 Curve of a real-valued function}{section.11.11}% 182
+\BOOKMARK [2][-]{subsection.11.11.2}{11.11.2 Parameterised curves}{section.11.11}% 183
+\BOOKMARK [1][-]{section.11.12}{11.12 Text}{chapter.11}% 184
+\BOOKMARK [2][-]{subsection.11.12.1}{11.12.1 The parameters and the options}{section.11.12}% 185
+\BOOKMARK [2][-]{subsection.11.12.2}{11.12.2 Examples of projecting onto a plane}{section.11.12}% 186
+\BOOKMARK [2][-]{subsection.11.12.3}{11.12.3 Examples for projecting onto a face of a solid}{section.11.12}% 187
+\BOOKMARK [2][-]{subsection.11.12.4}{11.12.4 Examples of projecting onto different faces of a solid}{section.11.12}% 188
+\BOOKMARK [1][-]{section.11.13}{11.13 Projection of images}{chapter.11}% 189
+\BOOKMARK [1][-]{section.11.14}{11.14 A bit of theory}{chapter.11}% 190
+\BOOKMARK [0][]{chapter.12}{12 Possible extensions}{}% 191
+\BOOKMARK [1][-]{section.12.1}{12.1 Creating your own object}{chapter.12}% 192
+\BOOKMARK [1][-]{section.12.2}{12.2 Creating a .u3d file}{chapter.12}% 193
+\BOOKMARK [0][]{appendix.A}{A Appendix}{}% 194
+\BOOKMARK [1][-]{section.A.1}{A.1 The parameters of pst-solides3d}{appendix.A}% 195
+\BOOKMARK [1][-]{section.A.2}{A.2 Alphabetical list of keywords}{appendix.A}% 196
+\BOOKMARK [1][-]{section.A.3}{A.3 Acknowledgments}{appendix.A}% 197
+\BOOKMARK [1][-]{section.A.4}{A.4 The poems}{appendix.A}% 198
+\BOOKMARK [0][]{appendix*.60}{Bibliography}{}% 199