Science Advances

Supplementary Materials

The PDF file includes:

  • Supplementary Text
  • Section SA. Topology of access systems
  • Section SB. Topology of city blocks
  • Section SC. City block topological theorems
  • Section SD. Topological optimization: Minimal neighborhood reblocking
  • Section SE. Geometric optimization: Travel costs versus road construction
  • Section SF. The topology of places is equivalent to the topology of the access system
  • Fig. S1. Phule Nagar (Mumbai, India) path width.
  • Fig. S2. Topological constructs for the systematic analysis of urban topology.
  • Fig. S3. Las Vegas (NV, USA) access system and access network.
  • Fig. S4. Schematic bridge graph retraction.
  • Fig. S5. Epworth (Harare, Zimbabwe) minimal reblocking.
  • Fig. S6. Epworth (Harare, Zimbabwe) before and after reblocking.
  • Fig. S7. Epworth (Harare, Zimbabwe): Geometric optimization and travel cost matrices.
  • Fig. S8. Khayelitsha (Cape Town, South Africa): Reblocking and travel cost matrices.
  • Fig. S9. Prague cadastral map and block parcel layout.
  • Legend for movie S1

Download PDF

Other Supplementary Material for this manuscript includes the following:

  • Movie S1 (.mp4 format). Urban topological invariance.

Files in this Data Supplement: