diff --git a/resources/css/components.css b/resources/css/components.css
index b7b66a8a..6b451f99 100644
--- a/resources/css/components.css
+++ b/resources/css/components.css
@@ -26,6 +26,7 @@
 @import './components/menu.css';
 @import './components/fab-menu-item.css';
 @import './components/fab-menu.css';
+@import './components/rich-tooltip.css';
 
 /* Inputs, selection and data */
 @import './components/form.css';
diff --git a/resources/css/components/rich-tooltip.css b/resources/css/components/rich-tooltip.css
new file mode 100644
index 00000000..c294b94e
--- /dev/null
+++ b/resources/css/components/rich-tooltip.css
@@ -0,0 +1,109 @@
+/*
+ * <x-rich-tooltip>: an M3 rich tooltip, a few lines of context for a control, with an optional
+ * subhead and actions.
+ *
+ * RichTooltipTokens (androidx Compose Material 3, Apache-2.0): surface-container, the medium
+ * corner, elevation 2, 312px wide at most, 16px either side, 12px above the subhead (or the text
+ * when there is none) and 8px below it. Title-small subhead and body-medium text in
+ * on-surface-variant, label-large actions in primary — the actions row pulls itself back to the
+ * text's edge with a negative margin, the trick every text-button row in this package uses
+ * (chip.css, fab-menu.css).
+ *
+ * Placed by CSS anchor positioning on `data-md-side`, corner-to-corner so the 312px bubble has
+ * room to spread past a narrow trigger; `position-try-fallbacks` flips it when the window has no
+ * room, same shape as tooltip.css's plain tooltip. It fades in and out on the fast effects spring,
+ * `allow-discrete` keeping `display` and `overlay` alive for the fade out and `@starting-style`
+ * giving the fade in a start.
+ *
+ * resources/js/rich-tooltip.js shows and hides the bubble and keeps the trigger described with
+ * `aria-describedby` — and, while `persistent`, `aria-haspopup`/`aria-expanded` (ACT-22) — none of
+ * which this stylesheet draws.
+ */
+
+@layer material.reset, material.tokens, material.base, material.layout, material.components, material.text, material.visibility;
+
+@layer material.components {
+    [data-md-rich-tooltip] {
+        display: inline-flex;
+    }
+
+    [data-md-rich-tooltip-bubble] {
+        inset: auto;
+        margin: 0;
+        overflow: visible;
+        width: max-content;
+        max-width: 312px;
+        border-width: 0;
+        border-radius: var(--md-sys-shape-corner-md);
+        padding-inline: var(--md-sys-measurement-space200);
+        padding-block: 12px var(--md-sys-measurement-space100);
+        background-color: var(--md-sys-color-surface-container);
+        box-shadow: var(--md-sys-elevation-2);
+        text-align: start;
+        white-space: normal;
+        opacity: 0;
+        transition-property: opacity, display, overlay;
+        transition-duration: var(--md-sys-motion-effects-fast-duration);
+        transition-timing-function: var(--md-sys-motion-effects-fast);
+        transition-behavior: allow-discrete;
+
+        &:popover-open {
+            opacity: 1;
+
+            @starting-style {
+                opacity: 0;
+            }
+        }
+    }
+
+    [data-md-rich-tooltip-bubble]:is([data-md-side='top'], [data-md-side='bottom']) {
+        margin-block: var(--md-sys-measurement-space50);
+        position-try-fallbacks: flip-block, flip-inline;
+    }
+
+    [data-md-rich-tooltip-bubble]:is([data-md-side='left'], [data-md-side='right']) {
+        margin-inline: var(--md-sys-measurement-space50);
+        position-try-fallbacks: flip-inline, flip-block;
+    }
+
+    [data-md-rich-tooltip-bubble][data-md-side='top'] {
+        position-area: top span-right;
+    }
+
+    [data-md-rich-tooltip-bubble][data-md-side='bottom'] {
+        position-area: bottom span-right;
+    }
+
+    [data-md-rich-tooltip-bubble][data-md-side='left'] {
+        position-area: left span-bottom;
+    }
+
+    [data-md-rich-tooltip-bubble][data-md-side='right'] {
+        position-area: right span-bottom;
+    }
+
+    [data-md-rich-tooltip-title] {
+        display: block;
+        margin-block-end: var(--md-sys-measurement-space50);
+        color: var(--md-sys-color-on-surface-variant);
+        font: var(--md-sys-typescale-title-sm);
+        letter-spacing: var(--md-sys-typescale-title-sm-tracking);
+        font-variation-settings: normal;
+    }
+
+    [data-md-rich-tooltip-text] {
+        display: block;
+        padding-block-end: var(--md-sys-measurement-space100);
+        color: var(--md-sys-color-on-surface-variant);
+        font: var(--md-sys-typescale-body-md);
+        letter-spacing: var(--md-sys-typescale-body-md-tracking);
+        font-variation-settings: normal;
+    }
+
+    [data-md-rich-tooltip-actions] {
+        display: flex;
+        flex-wrap: wrap;
+        gap: var(--md-sys-measurement-space100);
+        margin-inline-start: -12px;
+    }
+}
diff --git a/resources/js/rich-tooltip.js b/resources/js/rich-tooltip.js
index 6d0bc311..81ffd712 100644
--- a/resources/js/rich-tooltip.js
+++ b/resources/js/rich-tooltip.js
@@ -2,8 +2,10 @@
  * `materialRichTooltip`: shows an `<x-rich-tooltip>`.
  *
  * Transient (the default): like a plain tooltip — after a short hover on a pointer that can hover,
- * at once on keyboard focus, and it stays while the pointer moves onto the bubble to reach its
- * actions. Persistent: a press on the trigger opens it as a light-dismiss popover.
+ * at once on keyboard focus, standing for M3's 1.5s once the pointer or focus leaves (ACT-25) so
+ * the words can still be read while it moves on, and it stays while the pointer moves onto the
+ * bubble to reach its actions. Persistent: a press on the trigger opens it as a light-dismiss
+ * popover.
  *
  * The trigger is pointed at the bubble with `aria-describedby`, so the explanation — the whole
  * point of a rich tooltip — is read out with the control rather than never at all; a persistent
@@ -13,7 +15,7 @@
  * they are written again whenever the trigger is reached.
  */
 const HOVER_DELAY_MS = 500
-const LEAVE_GRACE_MS = 200
+const LEAVE_GRACE_MS = 1500
 
 document.addEventListener('alpine:init', () => {
     window.Alpine.data('materialRichTooltip', (persistent = false) => ({
diff --git a/resources/views/components/rich-tooltip.blade.php b/resources/views/components/rich-tooltip.blade.php
index b888e298..cfd43c67 100644
--- a/resources/views/components/rich-tooltip.blade.php
+++ b/resources/views/components/rich-tooltip.blade.php
@@ -16,13 +16,15 @@
      element on the page rather than one the morph took away.
 
      resources/js/rich-tooltip.js points the trigger at the bubble with `aria-describedby`, and a
-     `persistent` one also carries `aria-haspopup="dialog"` and `aria-expanded`: the explanation is
-     the whole point of a rich tooltip, and without the association a screen reader reads only the
-     trigger's own label. The trigger arrives in a slot, so only script can find the element in it
-     that takes the focus.
+     `persistent` one also carries `aria-haspopup="dialog"` and `aria-expanded` (ACT-22): the
+     explanation is the whole point of a rich tooltip, and without the association a screen reader
+     reads only the trigger's own label. The trigger arrives in a slot, so only script can find the
+     element in it that takes the focus. It stands for 1.5s after the pointer or focus leaves,
+     M3's transient tooltip timing (ACT-25), unless `persistent` keeps it open until dismissed.
 
      RichTooltipTokens (androidx Compose Material 3, Apache-2.0): title-small subhead and body-medium
-     text in on-surface-variant, label-large actions in primary. --}}
+     text in on-surface-variant, label-large actions in primary. Drawn by
+     resources/css/components/rich-tooltip.css from `data-md-rich-tooltip` and `data-md-side`. --}}
 
 @props([
     'title' => null,
@@ -38,7 +40,8 @@
 @endphp
 
 <span
-    {{ $attributes->class('inline-flex') }}
+    data-md-rich-tooltip
+    {{ $attributes }}
     style="anchor-name: {{ $anchor }}"
     x-data="materialRichTooltip({{ $persistent ? 'true' : 'false' }})"
 >
@@ -51,24 +54,18 @@
         popover="{{ $persistent ? 'auto' : 'manual' }}"
         role="{{ $persistent ? 'dialog' : 'tooltip' }}"
         @if ($title) aria-label="{{ $title }}" @endif
+        data-md-rich-tooltip-bubble
+        data-md-side="{{ $side }}"
         style="position-anchor: {{ $anchor }}"
-        @class([
-            'm-0 w-max max-w-78 overflow-visible border-0 rounded-corner-md bg-surface-container px-4 pt-3 pb-2 text-start whitespace-normal shadow-elevation-2 [inset:auto]',
-            'opacity-0 transition-[opacity,display,overlay] transition-discrete duration-(--md-sys-motion-effects-fast-duration) ease-effects-fast open:opacity-100 starting:open:opacity-0',
-            'my-1 [position-area:bottom_span-right] [position-try-fallbacks:flip-block,flip-inline]' => $side === 'bottom',
-            'my-1 [position-area:top_span-right] [position-try-fallbacks:flip-block,flip-inline]' => $side === 'top',
-            'mx-1 [position-area:left_span-bottom] [position-try-fallbacks:flip-inline,flip-block]' => $side === 'left',
-            'mx-1 [position-area:right_span-bottom] [position-try-fallbacks:flip-inline,flip-block]' => $side === 'right',
-        ])
     >
         @if ($title)
-            <span class="mb-1 block type-title-sm text-on-surface-variant">{{ $title }}</span>
+            <span data-md-rich-tooltip-title>{{ $title }}</span>
         @endif
 
-        <span class="block pb-2 type-body-md text-on-surface-variant">{{ $text }}</span>
+        <span data-md-rich-tooltip-text>{{ $text }}</span>
 
         @isset($actions)
-            <span class="-ms-3 flex flex-wrap gap-2">{{ $actions }}</span>
+            <span data-md-rich-tooltip-actions>{{ $actions }}</span>
         @endisset
     </span>
 </span>
diff --git a/tests/Feature/Components/ActionStylesheetsTest.php b/tests/Feature/Components/ActionStylesheetsTest.php
index 00ecbd50..c5f0646f 100644
--- a/tests/Feature/Components/ActionStylesheetsTest.php
+++ b/tests/Feature/Components/ActionStylesheetsTest.php
@@ -25,6 +25,7 @@ dataset('action components', [
     'menu',
     'fab-menu-item',
     'fab-menu',
+    'rich-tooltip',
 ]);
 
 it('draws the component from a stylesheet shaped like every package stylesheet', function (string $name) {
diff --git a/tests/Feature/Components/RichTooltipTest.php b/tests/Feature/Components/RichTooltipTest.php
index 03d869fc..860378cc 100644
--- a/tests/Feature/Components/RichTooltipTest.php
+++ b/tests/Feature/Components/RichTooltipTest.php
@@ -1,5 +1,7 @@
 <?php
 
+use NoNameWeb\LivewireMaterial\Tests\Support\ComponentStylesheet;
+
 it('wraps its trigger with a surface bubble anchored to it', function () {
     $html = (string) $this->blade(<<<'BLADE'
         <x-rich-tooltip title="Expiry" text="Recipients lose access after this time.">
@@ -11,14 +13,28 @@ it('wraps its trigger with a surface bubble anchored to it', function () {
 
     expect($anchor)->not->toBeEmpty()
         ->and($html)
+        ->toContain('data-md-rich-tooltip')
         ->toContain('<button>?</button>')
         ->toContain('x-data="materialRichTooltip(false)"')
         ->toContain('popover="manual"')
         ->toContain('role="tooltip"')
+        ->toContain('data-md-rich-tooltip-bubble')
+        ->toContain('data-md-side="bottom"')
         ->toContain("position-anchor: {$anchor[1]}")
-        ->toContain('rounded-corner-md bg-surface-container')
-        ->toContain('type-title-sm text-on-surface-variant">Expiry')
-        ->toContain('Recipients lose access after this time.');
+        ->toContain('data-md-rich-tooltip-title')
+        ->toContain('>Expiry')
+        ->toContain('data-md-rich-tooltip-text')
+        ->toContain('Recipients lose access after this time.')
+        ->and(ComponentStylesheet::read('rich-tooltip')->declarations('[data-md-rich-tooltip-bubble]'))->toMatchArray([
+            'border-radius' => 'var(--md-sys-shape-corner-md)',
+            'background-color' => 'var(--md-sys-color-surface-container)',
+            'box-shadow' => 'var(--md-sys-elevation-2)',
+            'max-width' => '312px',
+        ])
+        ->and(ComponentStylesheet::read('rich-tooltip')->declarations('[data-md-rich-tooltip-title]'))->toMatchArray([
+            'font' => 'var(--md-sys-typescale-title-sm)',
+            'color' => 'var(--md-sys-color-on-surface-variant)',
+        ]);
 });
 
 it('opens on press and stays when persistent', function () {
@@ -26,5 +42,21 @@ it('opens on press and stays when persistent', function () {
         ->toContain('x-data="materialRichTooltip(true)"')
         ->toContain('popover="auto"')
         ->toContain('role="dialog"')
+        ->toContain('data-md-rich-tooltip-actions')
         ->toContain('<button>More</button>');
 });
+
+it('places the bubble by the side asked for, on the anchor positioning fallback that suits it', function () {
+    $css = ComponentStylesheet::read('rich-tooltip');
+
+    expect((string) $this->blade('<x-rich-tooltip text="Details" side="left"><button>i</button></x-rich-tooltip>'))->toContain('data-md-side="left"')
+        ->and($css->declarations("[data-md-rich-tooltip-bubble][data-md-side='left']"))->toBe(['position-area' => 'left span-bottom'])
+        ->and($css->declarations("[data-md-rich-tooltip-bubble]:is([data-md-side='left'], [data-md-side='right'])"))->toMatchArray([
+            'position-try-fallbacks' => 'flip-inline, flip-block',
+        ]);
+});
+
+it('falls back to bottom for an unknown side', function () {
+    expect((string) $this->blade('<x-rich-tooltip text="Details" side="diagonal"><button>i</button></x-rich-tooltip>'))
+        ->toContain('data-md-side="bottom"');
+});