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In order to produce a visual representation of a space Poisson point process, you can utilize the Voronoi or Delaunay tessellation, also known as a Voronoi diagram or Delaunay triangulation. These are geometric structures that divide a space into cells based on the proximity of the points in the point pattern. In addition to using these tessellations, you can also use the programming language MATLAB to code and generate the visualization. By incorporating these techniques, you can create an informative and visually appealing representation of the Poisson point process.