The methods¶
Every method proposes a different road network for the same blocks; all are graded on the same basis — permeability (the benefit) against displacement (the cost). Each page shows the method's roads on the ground and its numbers from the actual runs.
ZAF.9.3.1_1_5810, every method overlaid. The two dashed guides are the calibrated standards every method here is graded against — 10% displacement and 60% permeability. Drag either guide, or use the sliders, to ask which methods clear it and at what least road.-
Steepest descent down the access-depth peel — the access-optimal baseline.
baseline
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Least-cost paths that repel from homes.
evaluated
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Clearance + loop-closing connectors for redundancy.
evaluated
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Best straight arterial per metre, snapped to buildable frontage.
not in the current benchmark lineup — it costs ~80x the wall-clock of every other method (37.6 s/block against 0.01-0.47 s) while trailing both lenses, so it was dropped from the examples; it remains a registered, tested method
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The cycle, not the spur — bridgeless by construction.
evaluated
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The Loop Network, its loops bent toward where people would walk.
evaluated
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Least new road to give every parcel frontage — the prior art this project is measured against.
evaluated
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The whole road set solved at once by a linear program, budgeted in displacement.
evaluated
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Straight arterials chosen to cut the deepest access, priced in homes displaced.
evaluated
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The real as-built footpath network — the baseline to beat.
evaluated
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A density-adaptive Manhattan-style grid.
evaluated
At a glance¶
| Method | Idea | Status |
|---|---|---|
| Peel | steepest descent down the access-depth peel — the access-optimal baseline | baseline |
| Least-Cost Tree | least-cost paths that repel from homes | evaluated |
| Looped Tree | clearance + loop-closing connectors for redundancy | evaluated |
| Throughways | best straight arterial per metre, snapped to buildable frontage | not in the current benchmark lineup — it costs ~80x the wall-clock of every other method (37.6 s/block against 0.01-0.47 s) while trailing both lenses, so it was dropped from the examples; it remains a registered, tested method |
| Loop Network | the cycle, not the spur — bridgeless by construction | evaluated |
| Loop Network (desire-routed) | the Loop Network, its loops bent toward where people would walk | evaluated |
| Topology | least new road to give every parcel frontage — the prior art this project is measured against | evaluated |
| Direct Objective (LP) | the whole road set solved at once by a linear program, budgeted in displacement | evaluated |
| Frontage (street-priced) | straight arterials chosen to cut the deepest access, priced in homes displaced | evaluated |
| OSM Footpaths | the real as-built footpath network — the baseline to beat | evaluated |
| Grid | a density-adaptive Manhattan-style grid | evaluated |