1 / 46

Cosmic Foam Structure

Cosmic Foam Structure. Spatial Arrangement Cosmic Matter Distribution: 1) “soapsud’’ of expanding voids 2) spherically expanding 3) approximately same size 4) asymptotically same “excess expansion rate’’ Asymptotically a stochastic and geometric pattern:

josephwebster
Download Presentation

Cosmic Foam Structure

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Cosmic Foam Structure Spatial Arrangement Cosmic Matter Distribution: 1) “soapsud’’ of expanding voids 2) spherically expanding 3) approximately same size 4) asymptotically same “excess expansion rate’’ Asymptotically a stochastic and geometric pattern: Voronoi Tessellation

  2. Now for something completely different … Tessellations…

  3. Chapter III.

  4. The Voronoi Universe

  5. Tessellations For a givenpoint processin d-dimensional space we can define two unique divisions of space, fully volume-covering by mutually exclusive cells, Voronoi & Delaunay Delaunay tessellation Point Process Voronoi tessellation Intimate Relationship :: Voronoi & Delaunay Tessellations :: Dual Tessellations

  6. Voronoi Tessellations

  7. Tessellations For a givenpoint processin d-dimensional space we can define two unique divisions of space, fully volume-covering by mutually exclusive cells, Voronoi & Delaunay Delaunay tessellation Point Process Voronoi tessellation Intimate Relationship :: Voronoi & Delaunay Tessellations :: Dual Tessellations

  8. Voronoi Tessellations

  9. Voronoi Tessellations

  10. Voronoi Tessellations For a givenpoint processin d-dimensional space, thedivision of spaceinto regions consisting of thatpart of space closerto a particular nucleusthan to any of the other nuclei Delaunay tessellation Voronoi tessellation Intimate Relationship :: Voronoi & Delaunay Tessellations :: Dual Tessellations

  11. Dual Tessellations Voronoi Delaunay Voronoi Vertices: Centers Circumscribing Spheres 4 nuclei Delaunay Tetrahedron

  12. Voronoi Tessellations

  13. Voronoi Cells

  14. Voronoi Cells Π235 Π473 Π956

  15. Voronoi Cells Each 3-D Voronoi Cell defines Polyhedral Volume: Polyhedral Cell Polygonal Walls Edges Vertices

  16. Voronoi Cells

  17. Voronoi Tessellations

  18. VoronoiClustering Models

  19. Voronoi Models:Templates for the Cosmic Web filament void cluster wall

  20. Voronoi Patterns Walls Filaments Clusters

  21. Voronoi Patternson the sky

  22. Voronoi Pattern Dynamics Walls

  23. Voronoi Pattern Dynamics Walls Filaments Clusters

  24. VoronoiPattern Dynamics

  25. Voronoi Pattern Clustering

  26. Kinematic Voronoi Model

  27. KinematicVoronoi Model

  28. Kinematic Voronoi Model

  29. Kinematic Voronoi Model

  30. KinematicVoronoiModel Dynamics

  31. KinematicVoronoi ModelClustering

  32. Clustering Evolution

  33. Voronoi Pattern Clustering

  34. VoronoiSuperclustering

  35. Voronoi VertexClustering

  36. Voronoi VertexClustering

  37. Voronoi VertexClustering

  38. Voronoi Vertex Mass Selections

  39. Voronoi Vertex Mass Selections

  40. Voronoi Vertex Clustering:Scaling Behaviour

  41. Voronoi Vertex Clustering:Scaling Behaviour

  42. Voronoi Vertex Clustering:Scaling Behaviour

  43. Voronoi VertexClustering:Self-Similar Scaling

  44. Voronoi VertexClustering:Self-Similar Scaling

  45. Voronoi VertexClustering:Self-Similar Scaling

More Related