diff --git a/src/data/courses.js b/src/data/courses.js
index 0be1cd1..2c5470a 100644
--- a/src/data/courses.js
+++ b/src/data/courses.js
@@ -44,12 +44,6 @@ const stopsSet = new Set(
 
 /** Guess whether a stop comes directly before another one. */
 const isPenultimateStop = (stop, finalStop) => {
-    // If there is a standard segment linking both stops, it’s certainly
-    // the penultimate stop
-    if ((stop + "-" + finalStop) in network.segments) {
-        return true;
-    }
-
     const route = routing.findPath(stop, finalStop);
 
     // If there is no way to link both stops, it can’t be
diff --git a/src/data/simulation.js b/src/data/simulation.js
index f2f7a0a..dfb0f23 100644
--- a/src/data/simulation.js
+++ b/src/data/simulation.js
@@ -79,12 +79,6 @@ class Course {
 
         const name = `${this.departureStop}-${this.arrivalStop}`;
 
-        // Use predefined segment if it exists
-        if (name in network.segments) {
-            this.segment = network.segments[name];
-            return;
-        }
-
         if (!(this.departureStop in network.stops)) {
             console.warn(`Unknown stop: ${this.departureStop}`);
             this.segment = null;
diff --git a/src/front/map/network.js b/src/front/map/network.js
index 396f80d..96a8832 100644
--- a/src/front/map/network.js
+++ b/src/front/map/network.js
@@ -1,4 +1,5 @@
 import network from "../../data/network.json";
+import * as routing from "../../data/routing.js";
 import { cacheStyle, makeBorderColor, sizes } from "./common";
 
 import GeoJSON from "ol/format/GeoJSON";
@@ -79,13 +80,9 @@ export const getLayers = () => {
     const segmentsSource = new VectorSource();
     const stopsSource = new VectorSource();
 
-    // Turn GeoJSON stops list and segments list into vector sources
-    const readFeatures = hash => Object.values(hash).map(json => {
-        json.properties.lines = json.properties.routes.filter(
-            // Only consider normal routes (excluding alternate routes)
-            ([lineRef, routeRef]) =>
-                network.lines[lineRef].routes[routeRef].state === "normal"
-        ).map(([lineRef]) => lineRef);
+    // Turn GeoJSON stops list into a vector source
+    const readStops = hash => Object.values(hash).map(json => {
+        json.properties.lines = json.properties.routes.map(([lineRef]) => lineRef);
 
         if (json.properties.lines.length >= 1) {
             json.properties.colors = json.properties.lines.map(
@@ -98,8 +95,27 @@ export const getLayers = () => {
         return geojsonReader.readFeature(json);
     });
 
-    segmentsSource.addFeatures(readFeatures(network.segments));
-    stopsSource.addFeatures(readFeatures(network.stops));
+    stopsSource.addFeatures(readStops(network.stops));
+
+    // Link stops with segments
+    const makeSegments = function* (lines) {
+        for (const [lineRef, line] of Object.entries(network.lines)) {
+            for (const route of line.routes) {
+                for (let i = 0; i + 1 < route.stops.length; ++i) {
+                    const stop1 = network.stops[route.stops[i]].id;
+                    const stop2 = network.stops[route.stops[i + 1]].id;
+
+                    const segment = routing.findSegment(stop1, stop2);
+                    segment.properties.lines = [lineRef];
+                    segment.properties.colors = [line.color];
+
+                    yield geojsonReader.readFeature(segment);
+                }
+            }
+        }
+    };
+
+    segmentsSource.addFeatures([...makeSegments(network.lines)]);
 
     // Background layer on which the darker borders of line segments are drawn
     const segmentsBorderLayer = new VectorImageLayer({