diff --git a/packages/docs/src/App.tsx b/packages/docs/src/App.tsx
index 4217f81..1ec3920 100644
--- a/packages/docs/src/App.tsx
+++ b/packages/docs/src/App.tsx
@@ -11,6 +11,7 @@ import {
   historyRoute,
   demosIndexRoute,
   basicRoutingDemoRoute,
+  switchRoutingDemoRoute,
   blogRoutingDemoRoute,
   dataGridDemoRoute,
   complexRoutingDemoRoute,
@@ -23,6 +24,7 @@ import Changelog from "./pages/Changelog";
 import History from "./pages/History";
 import DemosIndex from "./pages/DemosIndex";
 import BasicRoutingDemo from "./pages/BasicRoutingDemo";
+import SwitchRoutingDemo from "./pages/SwitchRoutingDemo";
 import BlogRoutingDemo from "./pages/BlogRoutingDemo";
 import DataGridDemo from "./pages/DataGridDemo";
 import ComplexRoutingDemo from "./pages/ComplexRoutingDemo";
@@ -63,6 +65,9 @@ export const App = () => (
         <Route on={basicRoutingDemoRoute}>
           <BasicRoutingDemo />
         </Route>
+        <Route on={switchRoutingDemoRoute}>
+          <SwitchRoutingDemo />
+        </Route>
         <Route on={blogRoutingDemoRoute}>
           <BlogRoutingDemo />
         </Route>
diff --git a/packages/docs/src/demos/SwitchRoutingApp.tsx b/packages/docs/src/demos/SwitchRoutingApp.tsx
new file mode 100644
index 0000000..b084142
--- /dev/null
+++ b/packages/docs/src/demos/SwitchRoutingApp.tsx
@@ -0,0 +1,113 @@
+import { atom, useAtomValue, useSetAtom } from "jotai";
+import { createRootAtom, paramRouteAtom, transformRouteAtom } from "jarl-atoms";
+import {
+  SwitchRoutingPage,
+  isSwitchRoutingPage,
+  switchRoutingPageLabels,
+  switchRoutingPages,
+} from "./switchRoutingPages";
+
+// The page this demo is mounted on, so everything below it is a plain module-level atom.
+const switchRoutingRoot = createRootAtom({ basePath: "/demos/switch-routing" });
+
+// One segment out of a fixed set: a paramRouteAtom narrowed by a transformRouteAtom, which also
+// types the value as the union the switch below needs.
+const pageRoute = transformRouteAtom<{ page: string }, { page: SwitchRoutingPage }>(
+  paramRouteAtom("page", { parent: switchRoutingRoot }),
+  ({ page }) => (isSwitchRoutingPage(page) ? { page } : undefined),
+  ({ page }) => ({ page }),
+);
+
+const currentPageAtom = atom((get): SwitchRoutingPage | "not-found" => {
+  const page = get(pageRoute);
+  if (page.match) return page.values.page;
+  return get(switchRoutingRoot).exact ? "home" : "not-found";
+});
+
+const HomePage = () => (
+  <div>
+    <h3>Home</h3>
+    <p>
+      Nothing here is a <code>&lt;Route&gt;</code>. One route atom holds which page the URL names, and a plain{" "}
+      <code>switch</code> on that value picks the component to render.
+    </p>
+  </div>
+);
+
+const AboutPage = () => (
+  <div>
+    <h3>About</h3>
+    <p>
+      The buttons above navigated here by writing to that same atom &mdash; <code>{`navigate({ page: "about" })`}</code>{" "}
+      &mdash; rather than by following a <code>&lt;Link&gt;</code>. Writing it set the URL; reading it back is what
+      moved the switch.
+    </p>
+  </div>
+);
+
+const ContactPage = () => (
+  <div>
+    <h3>Contact</h3>
+    <p>
+      Back and forward need nothing extra: the atom derives its value from the location, so the browser&apos;s history
+      moves the switch exactly the way a button does.
+    </p>
+  </div>
+);
+
+const NotFoundPage = () => (
+  <div>
+    <h3>No such page</h3>
+    <p>
+      The page route matches only the segments named above, so any other URL under this demo leaves it unmatched and the
+      switch falls through to this case.
+    </p>
+  </div>
+);
+
+const pageView = (page: SwitchRoutingPage | "not-found") => {
+  switch (page) {
+    case "home":
+      return <HomePage />;
+    case "about":
+      return <AboutPage />;
+    case "contact":
+      return <ContactPage />;
+    case "not-found":
+      return <NotFoundPage />;
+  }
+};
+
+const SwitchRoutingNav = ({
+  current,
+  onNavigate,
+}: {
+  current: SwitchRoutingPage | "not-found";
+  onNavigate: (page: SwitchRoutingPage) => void;
+}) => (
+  <nav>
+    {switchRoutingPages.map((page) => (
+      <button key={page} type="button" disabled={page === current} onClick={() => onNavigate(page)}>
+        {switchRoutingPageLabels[page]}
+      </button>
+    ))}
+  </nav>
+);
+
+/**
+ * Self-contained demo of the least routing machinery that still routes: a `switch` on one route
+ * atom's value picks the page, and navigation writes to that atom directly.
+ */
+export const SwitchRoutingApp = () => {
+  const page = useAtomValue(currentPageAtom);
+  const navigate = useSetAtom(pageRoute);
+
+  return (
+    <>
+      <SwitchRoutingNav current={page} onNavigate={(next) => navigate({ page: next })} />
+      {pageView(page)}
+    </>
+  );
+};
+
+export default SwitchRoutingApp;
diff --git a/packages/docs/src/demos/switchRoutingPages.ts b/packages/docs/src/demos/switchRoutingPages.ts
new file mode 100644
index 0000000..9dfe029
--- /dev/null
+++ b/packages/docs/src/demos/switchRoutingPages.ts
@@ -0,0 +1,19 @@
+/** Every page this demo has: the switch's cases, and the only segments its page route matches. */
+export const switchRoutingPages = ["home", "about", "contact"] as const;
+
+export type SwitchRoutingPage = (typeof switchRoutingPages)[number];
+
+export const isSwitchRoutingPage = (segment: string): segment is SwitchRoutingPage =>
+  (switchRoutingPages as readonly string[]).includes(segment);
+
+export const switchRoutingPageLabels: Record<SwitchRoutingPage, string> = {
+  home: "Home",
+  about: "About",
+  contact: "Contact",
+};
+
+/** Every concrete path this demo's SSG build should prerender. */
+export const switchRoutingStaticPaths = (): string[] => [
+  "/demos/switch-routing",
+  ...switchRoutingPages.map((page) => `/demos/switch-routing/${page}`),
+];
diff --git a/packages/docs/src/pages/DemosIndex.tsx b/packages/docs/src/pages/DemosIndex.tsx
index 7d52440..1e0cecb 100644
--- a/packages/docs/src/pages/DemosIndex.tsx
+++ b/packages/docs/src/pages/DemosIndex.tsx
@@ -6,6 +6,7 @@ import {
   blogRoutingDemoRoute,
   complexRoutingDemoRoute,
   dataGridDemoRoute,
+  switchRoutingDemoRoute,
 } from "../router/routes";
 
 export const DemosIndex = () => (
@@ -26,6 +27,13 @@ export const DemosIndex = () => (
         &mdash; a nested router-within-a-router built from <code>staticRouteAtom</code>/<code>paramRouteAtom</code> and
         the atoms-based <code>Link</code>/<code>Route</code> components.
       </li>
+      <li>
+        <Link route={switchRoutingDemoRoute} to={{}}>
+          Switch-statement routing
+        </Link>{" "}
+        &mdash; the same job with no routing components at all: a <code>switch</code> on one route atom&apos;s value
+        picks the page, and the nav buttons navigate by writing to that atom instead of rendering a <code>Link</code>.
+      </li>
       <li>
         <Link route={blogRoutingDemoRoute} to={{}}>
           Blog routing
diff --git a/packages/docs/src/pages/SwitchRoutingDemo.tsx b/packages/docs/src/pages/SwitchRoutingDemo.tsx
new file mode 100644
index 0000000..4a1022d
--- /dev/null
+++ b/packages/docs/src/pages/SwitchRoutingDemo.tsx
@@ -0,0 +1,15 @@
+import { SwitchRoutingApp } from "../demos/SwitchRoutingApp";
+import DemoPage from "../lib/DemoPage";
+import demoSource from "../demos/SwitchRoutingApp.tsx?raw";
+
+export const SwitchRoutingDemo = () => (
+  <DemoPage
+    title="Live demo: routing with a switch statement"
+    sourcePath="packages/docs/src/demos/SwitchRoutingApp.tsx"
+    source={demoSource}
+  >
+    <SwitchRoutingApp />
+  </DemoPage>
+);
+
+export default SwitchRoutingDemo;
diff --git a/packages/docs/src/router/routes.ts b/packages/docs/src/router/routes.ts
index 8b0c945..d8d1df4 100644
--- a/packages/docs/src/router/routes.ts
+++ b/packages/docs/src/router/routes.ts
@@ -9,6 +9,7 @@ import { atom } from "jotai";
 import { asyncRouteAtom, notAtom, rootAtom, staticRouteAtom, paramRouteAtom } from "jarl-atoms";
 import { blogStaticPaths } from "../demos/blogPosts";
 import { complexRoutingStaticPaths } from "../demos/complexRoutingSamples";
+import { switchRoutingStaticPaths } from "../demos/switchRoutingPages";
 import { articleSlugs, findArticle } from "../demos/asyncArticles";
 import { changelogStaticPaths } from "../pages/changelogEntries";
 
@@ -32,6 +33,10 @@ export const demosIndexRoute = staticRouteAtom("demos");
 export const basicRoutingDemoRoute = staticRouteAtom("basic-routing", { parent: demosIndexRoute });
 export const basicRoutingDemoPageRoute = paramRouteAtom("page", { parent: basicRoutingDemoRoute });
 
+// Switch-statement routing demo: the site's own mount point. The demo reads one page route atom
+// and switches on its value, on its own basePath-scoped root inside SwitchRoutingApp.
+export const switchRoutingDemoRoute = staticRouteAtom("switch-routing", { parent: demosIndexRoute });
+
 // Blog routing demo: the site's own mount point. The demo's own /:year/:month/:day/:slug tree
 // lives inside BlogRoutingApp, on its own basePath-scoped root.
 export const blogRoutingDemoRoute = staticRouteAtom("blog-routing", { parent: demosIndexRoute });
@@ -67,6 +72,7 @@ const exactRouteMissedAtom = notAtom(
   demosIndexRoute,
   basicRoutingDemoRoute,
   basicRoutingDemoPageRoute,
+  switchRoutingDemoRoute,
   blogRoutingDemoRoute,
   dataGridDemoRoute,
   complexRoutingDemoRoute,
@@ -76,9 +82,9 @@ const exactRouteMissedAtom = notAtom(
 
 /**
  * Whether the current location has nothing behind it, which is what makes a server render's
- * *status code* right and not just its HTML. Everything under the changelog's, the blog demo's
- * and the complex-routing demo's mounts counts as found - all three route their own subtree and
- * render their own not-found views. The async demo gets no such blanket, and lists
+ * *status code* right and not just its HTML. Everything under the changelog's, the switch demo's,
+ * the blog demo's and the complex-routing demo's mounts counts as found - all four route their own
+ * subtree and render their own not-found views. The async demo gets no such blanket, and lists
  * `asyncArticleRoute` rather than `asyncLookupSlugRoute`: an unknown slug is a genuine miss, even
  * though the demo page still renders its own not-found view.
  */
@@ -86,6 +92,7 @@ export const notFoundAtom = atom(
   (get) =>
     get(exactRouteMissedAtom) &&
     !get(changelogRoute).match &&
+    !get(switchRoutingDemoRoute).match &&
     !get(blogRoutingDemoRoute).match &&
     !get(complexRoutingDemoRoute).match,
 );
@@ -117,6 +124,7 @@ export const staticPaths: string[] = [
   "/demos",
   "/demos/basic-routing",
   "/demos/basic-routing/about",
+  ...switchRoutingStaticPaths(),
   ...blogStaticPaths(),
   "/demos/data-grid",
   ...complexRoutingStaticPaths(),