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| Preface | |
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| Combinatorial Figures | |
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| Drawing figures | |
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| Modeling figures | |
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| The circuits of a figure | |
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| Combinatorial Geometries | |
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| The definition of a combinatorial geometry | |
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| Lines and planes of a combinatorial geometry | |
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| Two families of combinatorial geometries | |
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| Sketches of planar geometries and figures | |
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| Models of some combinatorial cubes | |
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| Subgeometries of a combinatorial geometry | |
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| Isomorphic combinatorial geometries | |
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| Planar Geometries and Projective Planes | |
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| The intersection of coplanar lines | |
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| Projective planes | |
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| Subgeometries of a projective plane | |
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| An extended Euclidean plane | |
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| Pencil and roller constructions | |
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| Coordinatizing an extended Euclidean plane | |
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| Sylvester's Theorem and the Fano plane | |
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| Non-Planar Geometries and Projective Spaces | |
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| Projective spaces | |
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| Subgeometries of a projective space | |
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| Desargues' Theorem and projective spaces | |
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| Extended Euclidean space | |
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| Coordinatizing extended Euclidean space | |
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| Perpendicular lines and planes | |
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| Pythagoras' Theorem, length and angle | |
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| The existence of a tetrahedron | |
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| Perspective Drawings | |
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| The definition and basic properties of a perspective drawing | |
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| Perspective drawings in a combinatorial geometry | |
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| Practical perspective drawing methods | |
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| Vanishing points | |
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| Perspective drawings of a box | |
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| Perspective rendition from an ideal viewpoint | |
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| Binocular Vision and Single Image Stereograms | |
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| Binocular vision | |
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| Binocular vision and random-dot stereograms | |
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| Single-image stereograms | |
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| Scene Analysis | |
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| Perspective drawings of intersections of planes | |
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| Scenes and other planar figures | |
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| The existence of boxes | |
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| Completing a partial scene | |
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| Two problems | |
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| Distortion and Anamorphic Art | |
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| Viewing perspective drawings | |
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| Anamorphic art | |
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| Distortion in 3-point perspective drawings | |
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| Distortion in 2-point perspective drawings | |
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| Distortion in 1-point perspective drawings | |
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| Distortion in affine projections | |
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| Planar Bar-And-Joint Mechanisms | |
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| Bar-and-joint models | |
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| Four-bar linkages | |
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| Rocking and rotation in 4-bar linkages | |
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| Coupler curves | |
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| Parallelogram and kite linkages | |
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| Plagiographs | |
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| Cognate linkages | |
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| Approximate and exact linear motion | |
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| Non-Planar Hinged-Panel-Mechanisms | |
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| Hinged-panel models | |
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| Four-panel cycles | |
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| Panel cycles of at least five panels | |
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| Polyhedral models | |
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| Graphs, Models and Geometries | |
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| The definition of a graph | |
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| Connected graphs and acyclic graphs | |
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| The rigidity of a one-story building | |
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| Hinge graphs and developments | |
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| Graphs that are also geometries | |
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| Spherical Polyhedra | |
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| The definition of a polyhedron | |
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| Planar graphs and three-connected graphs | |
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| The definition of a spherical polyhedron | |
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| Vertices, edges, and faces of a spherical polyhedron | |
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| The existence of spherical polyhedra | |
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| D�rer's melancholy octahedron | |
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| Scene Analysis and Spherical Polyhedra | |
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| Perspective drawings of a spherical polyhedron | |
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| Some applications of the theorem | |
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| Perspective drawings of a wider class of unions of polygonal regions | |
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| . Matroids | |
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| The definition of a matroid | |
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| Geometries, graphs, and matroids | |
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| Bases of a matroid | |
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| The rank function of a matroid | |
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| Isomorphism and representable matroids | |
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| Projective and affine geometry | |
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| Dual matroids | |
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| Restrictions and contractions of a matroid | |
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| Minors of a matroid | |
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| Paving matroids | |
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| Bibliography | |
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| Index | |