Introduction | Package Contents | Proximity Catch Digraphs | Proximity Map Families | Arc-Slice Proximity Maps and Associated Proximity Regions | Proportional-Edge Proximity Maps and Associated Proximity Regions | Central Similarity Proximity Maps and Associated Proximity Regions | Delaunay Tessellation | Graph Invariants: Arc Density and Domination Number | References

Illustration of PCDs on an Artificial 2D Dataset | Summary and Visualization with Arc-Slice PCDs | Summary and Visualization with Proportional Edge PCDs | Testing Spatial Interaction with the PE-PCDs | Summary and Visualization with Central Similarity PCDs | Testing Spatial Interaction with the CS-PCDs

Illustration of PCDs on Swamp Tree Data Set | Summary and Visualization with Arc-Slice PCD | Summary and Visualization with Proportional Edge PCDs | Testing Spatial Interaction with the PE-PCDs | Summary and Visualization with Central Similarity PCDs | Testing Spatial Interaction with the CS-PCDs

Illustration of PCDs on an Artificial 1D Dataset | Summary and Visualization with Proportional Edge PCDs | Testing Interaction and Uniformity with the PE-PCDs | Summary and Visualization with Central Similarity PCDs | Testing 1D Interaction or Uniformity with the CS-PCDs

Functions for Construction and Simulation of PCDs and Related Quantities | Functions for PCDs with Vertices in One Triangle | Functions for Arc-Slice PCDs with Vertices in One Triangle | Functions for Proportional Edge PCDs with Vertices in One Triangle | Functions for Central Similarity PCDs with Vertices in One Triangle | Functions for Proportional Edge PCDs with Vertices in the Standard Equilateral Triangle | Functions for Central Similarity PCDs with Vertices in the Standard Equilateral Triangle | Auxiliary Functions to Define Proximity Regions for Points in a Triangle | Functions Related to the Vertex Regions | Functions Related to the Edge Regions

Functions for PCDs with Vertices in One Interval | Functions for Proportional Edge PCDs with Vertices in One Interval | Functions for Construction and Simulation of Central Similarity PCDs with Vertices in One Interval | Auxiliary Functions to Define Proximity Regions for Points in an Interval | References

Functions for PCDs with Vertices in One Tetrahedron | Functions for Proportional Edge PCDs with Vertices in One Tetrahedron | Functions for Construction and Simulation of Proportional Edge PCDs in the Standard Regular Tetrahedron | Auxiliary Functions to Define Proximity Regions for Points in a Tetrahedron | References

Generation of Points from CSR, Segregation, and Association Patterns | Generation of Points from CSR | Generation of Uniform Points in One Triangle | Generation of Uniform Points in Multiple Triangles | Generation of Uniform Points in a Tetrahedron | Generation of Points from the Segregation Pattern | Generation of Points Segregated (in a Type I Fashion) from the Vertices of a Triangle | Generation of Points Segregated (in a Type I Fashion) from a Given Set of $\Y$ Points | Generation of Points Segregated (in a Radial or Circular fashion) from a Given Set of $\Y$ Points | Generation of Points from the Association Pattern | Generation of Points Associated (in a Type I Fashion) with the Vertices of a Triangle | Generation of Points Associated (in a Type I Fashion) with a Given Set of $\Y$ Points | Generation of Points Associated (in a Radial or Circular fashion) with a Given Set of $\Y$ Points | Generation of Points Associated (in a Matérn-like fashion) with a Given Set of $\Y$ Points

Finding the Extrema among a Point Set in a Delaunay Cell | The Extreme Points in a General Triangle | Closest Points in Vertex Regions to the Opposite Edges | Closest Points to the Circumcenter in CC-Vertex Regions | Furthest Points from Vertices in CC-Vertex Regions | $k$ Furthest Points from Vertices in CC-Vertex Regions | Closest Points in the Standard Equilateral Triangle to its Edges | Furthest Points to Edges in CM-Edge Regions of the Standard Equilateral Triangle | The Extreme Points in an Interval | Closest Points to $M_c$ in $M_c$-Vertex Regions | The Extreme Points in a Tetrahedron | Closest Points in Vertex Regions to the Opposite Faces

Auxiliary Functions for Two and Three Dimensional Euclidean Geometry | Geometric Structures in 2D Euclidean Space | Equation of the Line Crossing two Distinct 2D Points | Equation of the Line Crossing a Point and Parallel to the Line Crossing two Distinct 2D Points | Equation of the Line Crossing a Point and Perpendicular to the Line Crossing two Distinct 2D Points | Various Distances and Related Functions | Geometric Structures in 3D Euclidean Space | Equation of the Line Crossing a Point Parallel to (i.e., in the Direction of) a Vector | Equation of the Line Crossing a Point and Parallel to the Line Crossing two Distinct 3D Points | Equation of the Plane Crossing three Distinct 3D Points | Equation of the Plane Crossing a Point and Parallel to the Plane Crossing three Distinct 3D Points | Equation of the Line Crossing a Point and Perpendicular to the Plane Crossing three Distinct 3D Points