Voxels · Dual grid

cells: every lattice cell standing (source table)

corners: every dual-grid corner filled (source table)

brushes: every brush in the smooth world (source table)

faces = each cell's sides, keyed by the cell across, without the cells standing

tiles = each dual cell's eight corners, as a mask

field = every brush's share at each grid point, summed

census = pieces in each world: count

strays = cells off their lattice or out of bounds, and corners out of bounds: count

last_cell = each builder's newest cell: max

last_corner = each builder's newest corner: max

last_brush = each builder's newest brush: max

Voxels: Dual grid