Interactions in 3D

Welcome to the HODLR3D Documentation pages! Here you can quickly view various 3D interactions that help you in understanding 3D.

Hierarchical Sub-division of the domain in 3D

Consider a box (a cube) in 3D which corresponds to root node in the hierarchical tree (Level 0)







Subdivision of the domain hierarchically results in 8 smaller cubes (each corresponding to 8 children nodes of the root node in the Hierarchical tree). (Level 1 Subdivision)







Further subdivision (Level 2) results in 64 cubes as shown below:

Different types of interactions in 3D

Based on how the boxes share boundary, they can be classified as following types:

  • Vertex sharing intractions
  • Edge sharing intractions
  • Face sharing intractions
  • Far field intractions

Vertex sharing intractions

Consider a box (at level 2) in 3D then it the boxes that share atmost an vertex are named VERTEX sharing boxes







Edge sharing intractions

For a box highlighted in black, the edge sharing boxes are colored in green.







Face sharing intractions

Further the face sharing boxes are shown below:

Far field intractions

The boxes that do not share a boundary is said to have far field intractions.