Category: Mobility Manifolds

Isochrone Travel Manifold

"Transform Euclidean metric distance into temporal travel manifolds across multiple transit modes"

Compute the effective accessibility footprint of a 15-minute, 30-minute, and 60-minute journey by walking (5 km/h), cycling (18 km/h), urban rail (45 km/h), and high-speed rail (250 km/h).

ISOCHRONE TRAVEL-TIME MANIFOLD

FRANCIS GALTON (1881) MODEL

TRAVEL DURATION:15 Minutes

5m (Immediate block)15m (15-Minute City)30m (Metropolitan zone)60m (Regional horizon)

REACH RADIUS

1.3 km

CATCHMENT AREA

5.3 km²

THEORETICAL REACH

Local District

Operating Instructions

Select your primary mode of transportation.
Adjust the target journey duration slider (10 to 60 minutes).
Observe the computed travel polygon area ($km^2$) and theoretical population catchment reach.
Compare the metric Euclidean radius against the true multi-modal vector manifold.

Mathematical & Geodetic Theory

Calculated via Dijkstra/A* multi-modal vector network routing over GTFS transit schedule graphs and pedestrian walkable friction surfaces.

Mathematical Baseline: Galton, F. (1881)