diff --git a/apps/docs/src/App.vue b/apps/docs/src/App.vue
index c456d1439..5ebfb74ff 100644
--- a/apps/docs/src/App.vue
+++ b/apps/docs/src/App.vue
@@ -142,6 +142,7 @@
   <div
     class="app-shell min-h-screen text-on-background"
     :class="{ 'dot-grid': settings.showDotGrid.value }"
+    :style="{ '--line-opacity': `${settings.dotGridIntensity.value}%` }"
   >
     <a
       class="sr-only focus:not-sr-only focus:absolute focus:top-2 focus:start-2 focus:z-50 focus:px-4 focus:py-2 focus:bg-primary focus:text-on-primary focus:rounded"
@@ -199,8 +200,21 @@
     position: relative;
     background: color-mix(in srgb, var(--v0-background) 85%, transparent);
 
+    /*
+     * App-shell dot grid (toggled via Settings → "Dot grid pattern").
+     *
+     * Intentionally a separate inline implementation from the AppDotGrid
+     * component: this is a full-viewport shell background with a diagonal fade
+     * and a user toggle, whereas AppDotGrid is a per-section accent with a
+     * radial fade from a corner — different roles, so neither is forced onto
+     * the other. The dot weight, 20px density, and connecting-line construction
+     * (lines offset half a cell so the dots sit on the intersections) are kept
+     * deliberately in sync with the GnDotGrid primitive in @paper/genesis;
+     * change the look there and mirror it here.
+     */
     &.dot-grid::before {
-      --dot-opacity: 24%;
+      --dot-opacity: 12%;
+      /* --line-opacity is set inline from the "Line intensity" setting (defaults to 0.85%). */
       content: '';
       position: absolute;
       top: 0;
@@ -210,9 +224,11 @@
       z-index: 0;
       pointer-events: none;
       background:
-        radial-gradient(circle, color-mix(in srgb, var(--v0-on-background) var(--dot-opacity), transparent) 1px, transparent 1px);
-      background-size: 24px 24px;
-      background-position: 18px 0;
+        radial-gradient(circle, color-mix(in srgb, var(--v0-on-background) var(--dot-opacity), transparent) 1px, transparent 1px),
+        linear-gradient(to right, color-mix(in srgb, var(--v0-on-background) var(--line-opacity, 0.85%), transparent) 1px, transparent 1px),
+        linear-gradient(to bottom, color-mix(in srgb, var(--v0-on-background) var(--line-opacity, 0.85%), transparent) 1px, transparent 1px);
+      background-size: 20px 20px;
+      background-position: 0 0, 10px 10px, 10px 10px;
       mask-image: linear-gradient(
         225deg,
         black 0%,
diff --git a/apps/docs/src/components.d.ts b/apps/docs/src/components.d.ts
index 7068602dc..11b073690 100644
--- a/apps/docs/src/components.d.ts
+++ b/apps/docs/src/components.d.ts
@@ -56,6 +56,7 @@ declare module 'vue' {
     AppSettingsSheet: typeof import('./components/app/AppSettingsSheet.vue')['default']
     AppSettingsSingleSelect: typeof import('./components/app/settings/AppSettingsSingleSelect.vue')['default']
     AppSettingsSkillLevel: typeof import('./components/app/settings/AppSettingsSkillLevel.vue')['default']
+    AppSettingsSlider: typeof import('./components/app/settings/AppSettingsSlider.vue')['default']
     AppSettingsTheme: typeof import('./components/app/settings/AppSettingsTheme.vue')['default']
     AppSettingsThemeCarousel: typeof import('./components/app/settings/AppSettingsThemeCarousel.vue')['default']
     AppSettingsThemeEditor: typeof import('./components/app/settings/AppSettingsThemeEditor.vue')['default']
diff --git a/apps/docs/src/components/app/AppDotGrid.vue b/apps/docs/src/components/app/AppDotGrid.vue
index 9f862c1c8..759826250 100644
--- a/apps/docs/src/components/app/AppDotGrid.vue
+++ b/apps/docs/src/components/app/AppDotGrid.vue
@@ -1,50 +1,20 @@
 <script setup lang="ts">
-  // Composables
-  import { useThemeToggle } from '@/composables/useThemeToggle'
-
-  // Utilities
-  import { computed } from 'vue'
+  // Framework
+  import { GnDotGrid, type GnDotGridProps } from '@paper/genesis'
 
-  const {
-    coverage = 15,
-    density = 20,
-    origin = 'bottom left',
-  } = defineProps<{
-    coverage?: number
-    density?: number
-    origin?: string
-  }>()
+  // Composables
+  import { useSettings } from '@/composables/useSettings'
 
-  const { isDark } = useThemeToggle()
+  // Docs adapter for the canonical GnDotGrid primitive in @paper/genesis.
+  // Kept as a thin local component so the docs auto-import keeps resolving
+  // <AppDotGrid>. The connecting-line intensity defaults to the user's
+  // "Line intensity" setting (shared with the app-shell grid); the genesis
+  // primitive itself stays neutral (lines=0). Any usage can override :lines.
+  const { lines, ...props } = defineProps<GnDotGridProps>()
 
-  const maskStyle = computed(() => {
-    const fadeEnd = coverage + 20
-    const gradient = `radial-gradient(ellipse at ${origin}, transparent 0%, transparent ${coverage}%, black ${fadeEnd}%)`
-    return {
-      maskImage: gradient,
-      WebkitMaskImage: gradient,
-      backgroundSize: `${density}px ${density}px`,
-    }
-  })
+  const settings = useSettings()
 </script>
 
 <template>
-  <div
-    aria-hidden="true"
-    class="app-dot-grid absolute inset-0 pointer-events-none z-0"
-    :class="isDark ? 'dot-dark' : 'dot-light'"
-    :style="maskStyle"
-  />
+  <GnDotGrid v-bind="props" :lines="lines ?? settings.dotGridIntensity.value" />
 </template>
-
-<style scoped>
-  .app-dot-grid.dot-dark {
-    background:
-      radial-gradient(circle, color-mix(in srgb, var(--v0-on-background) 10%, transparent) 1px, transparent 1px);
-  }
-
-  .app-dot-grid.dot-light {
-    background:
-      radial-gradient(circle, color-mix(in srgb, var(--v0-on-background) 12%, transparent) 1px, transparent 1px);
-  }
-</style>
diff --git a/apps/docs/src/components/app/settings/AppSettingsSlider.vue b/apps/docs/src/components/app/settings/AppSettingsSlider.vue
new file mode 100644
index 000000000..346e70864
--- /dev/null
+++ b/apps/docs/src/components/app/settings/AppSettingsSlider.vue
@@ -0,0 +1,82 @@
+<script setup lang="ts">
+  // Framework
+  import { Checkbox, Collapsible, Slider } from '@vuetify/v0'
+
+  // Utilities
+  import { computed, shallowRef } from 'vue'
+
+  const {
+    label,
+    description = undefined,
+    min = 0,
+    max = 2,
+    step = 0.05,
+  } = defineProps<{
+    label: string
+    description?: string
+    min?: number
+    max?: number
+    step?: number
+  }>()
+
+  const model = defineModel<number>({ required: true })
+
+  // The slider + preview stay collapsed until the user checks the box to edit.
+  const expanded = shallowRef(false)
+
+  // v0 Slider works on an array model; adapt the scalar setting to/from it.
+  const value = computed({
+    get: () => [model.value],
+    set: ([next]) => {
+      model.value = next
+    },
+  })
+</script>
+
+<template>
+  <div class="px-3 py-2 rounded-lg bg-surface-variant">
+    <label class="flex items-center justify-between gap-3 cursor-pointer">
+      <div>
+        <span class="text-sm">{{ label }}</span>
+        <p v-if="description" class="text-xs text-on-surface-variant/60">{{ description }}</p>
+      </div>
+
+      <div class="flex items-center gap-2">
+        <span class="text-xs text-on-surface-variant tabular-nums">{{ model.toFixed(2) }}</span>
+
+        <Checkbox.Root
+          v-model="expanded"
+          :aria-label="`Edit ${label.toLowerCase()}`"
+          class="size-4 shrink-0 inline-flex items-center justify-center rounded-sm border border-on-surface-variant/40"
+        >
+          <Checkbox.Indicator class="text-primary text-[11px] leading-none">✓</Checkbox.Indicator>
+        </Checkbox.Root>
+      </div>
+    </label>
+
+    <Collapsible.Root v-model="expanded">
+      <Collapsible.Content>
+        <div class="pt-3">
+          <slot name="preview" />
+
+          <Slider.Root
+            v-model="value"
+            class="relative flex items-center w-full h-5 mt-3"
+            :max
+            :min
+            :step
+          >
+            <Slider.Track class="relative h-1 w-full rounded-full bg-surface">
+              <Slider.Range class="absolute h-full rounded-full bg-primary" />
+            </Slider.Track>
+
+            <Slider.Thumb
+              :aria-label="label"
+              class="absolute size-4 rounded-full bg-primary -translate-x-1/2 focus:outline-2 focus:outline-primary"
+            />
+          </Slider.Root>
+        </div>
+      </Collapsible.Content>
+    </Collapsible.Root>
+  </div>
+</template>
diff --git a/apps/docs/src/components/app/settings/AppSettingsTheme.vue b/apps/docs/src/components/app/settings/AppSettingsTheme.vue
index 06fb89741..9f9def2f9 100644
--- a/apps/docs/src/components/app/settings/AppSettingsTheme.vue
+++ b/apps/docs/src/components/app/settings/AppSettingsTheme.vue
@@ -126,6 +126,25 @@
             label="Dot grid pattern"
           />
 
+          <AppSettingsSlider
+            v-if="settings.showDotGrid.value"
+            v-model="settings.dotGridIntensity.value"
+            class="ml-4"
+            description="Connecting-line strength"
+            label="Line intensity"
+            :max="2"
+            :min="0"
+            :step="0.05"
+          >
+            <template #preview>
+              <div class="relative h-20 rounded-md overflow-hidden border bg-background">
+                <div class="absolute inset-0" style="transform: scale(2.2); transform-origin: center">
+                  <AppDotGrid :coverage="0" />
+                </div>
+              </div>
+            </template>
+          </AppSettingsSlider>
+
           <AppSettingsToggle
             v-model="settings.showMeshGrid.value"
             description="Colorful gradient background"
diff --git a/apps/docs/src/composables/useSettings.ts b/apps/docs/src/composables/useSettings.ts
index 6dabe49bc..129330219 100644
--- a/apps/docs/src/composables/useSettings.ts
+++ b/apps/docs/src/composables/useSettings.ts
@@ -22,6 +22,7 @@ export interface DocSettings {
   showSocialLinks: boolean
   collapsibleNav: boolean
   showDotGrid: boolean
+  dotGridIntensity: number
 
   showMeshGrid: boolean
   showMeshTransition: boolean
@@ -44,6 +45,7 @@ export interface SettingsContext {
   showSocialLinks: ShallowRef<boolean>
   collapsibleNav: ShallowRef<boolean>
   showDotGrid: ShallowRef<boolean>
+  dotGridIntensity: ShallowRef<number>
 
   showMeshGrid: ShallowRef<boolean>
   showMeshTransition: ShallowRef<boolean>
@@ -65,6 +67,7 @@ const DEFAULTS: DocSettings = {
   showSocialLinks: true,
   collapsibleNav: true,
   showDotGrid: true,
+  dotGridIntensity: 0.85,
 
   showMeshGrid: true,
   showMeshTransition: true,
@@ -123,6 +126,7 @@ export function createSettingsContext (): SettingsContext {
   const showSocialLinks = shallowRef(DEFAULTS.showSocialLinks)
   const collapsibleNav = shallowRef(DEFAULTS.collapsibleNav)
   const showDotGrid = shallowRef(DEFAULTS.showDotGrid)
+  const dotGridIntensity = shallowRef(DEFAULTS.dotGridIntensity)
 
   const showMeshGrid = shallowRef(DEFAULTS.showMeshGrid)
   const showMeshTransition = shallowRef(DEFAULTS.showMeshTransition)
@@ -138,13 +142,14 @@ export function createSettingsContext (): SettingsContext {
   loadSetting(storage, 'showSocialLinks', showSocialLinks)
   loadSetting(storage, 'collapsibleNav', collapsibleNav)
   loadSetting(storage, 'showDotGrid', showDotGrid)
+  loadSetting(storage, 'dotGridIntensity', dotGridIntensity)
 
   loadSetting(storage, 'showMeshGrid', showMeshGrid)
   loadSetting(storage, 'showMeshTransition', showMeshTransition)
   loadSetting(storage, 'showBgGlass', showBgGlass)
 
   // Persist on change
-  const settings = { lineWrap, reduceMotion, packageManager, showInlineApi, showSkillFilter, showThemeToggle, showSocialLinks, collapsibleNav, showDotGrid, showMeshGrid, showMeshTransition, showBgGlass }
+  const settings = { lineWrap, reduceMotion, packageManager, showInlineApi, showSkillFilter, showThemeToggle, showSocialLinks, collapsibleNav, showDotGrid, dotGridIntensity, showMeshGrid, showMeshTransition, showBgGlass }
   for (const [key, ref] of Object.entries(settings)) {
     watch(ref, val => storage.set(key, val))
   }
@@ -172,6 +177,7 @@ export function createSettingsContext (): SettingsContext {
     showSocialLinks.value !== DEFAULTS.showSocialLinks ||
     collapsibleNav.value !== DEFAULTS.collapsibleNav ||
     showDotGrid.value !== DEFAULTS.showDotGrid ||
+    dotGridIntensity.value !== DEFAULTS.dotGridIntensity ||
     showMeshGrid.value !== DEFAULTS.showMeshGrid ||
     showMeshTransition.value !== DEFAULTS.showMeshTransition ||
     showBgGlass.value !== DEFAULTS.showBgGlass
@@ -213,6 +219,7 @@ export function createSettingsContext (): SettingsContext {
     showSocialLinks.value = DEFAULTS.showSocialLinks
     collapsibleNav.value = DEFAULTS.collapsibleNav
     showDotGrid.value = DEFAULTS.showDotGrid
+    dotGridIntensity.value = DEFAULTS.dotGridIntensity
     showMeshGrid.value = DEFAULTS.showMeshGrid
     showMeshTransition.value = DEFAULTS.showMeshTransition
     showBgGlass.value = DEFAULTS.showBgGlass
@@ -232,6 +239,7 @@ export function createSettingsContext (): SettingsContext {
     showSocialLinks,
     collapsibleNav,
     showDotGrid,
+    dotGridIntensity,
     showMeshGrid,
     showMeshTransition,
     showBgGlass,
diff --git a/packages/genesis/src/components/GnDotGrid/GnDotGrid.vue b/packages/genesis/src/components/GnDotGrid/GnDotGrid.vue
new file mode 100644
index 000000000..aeeb28431
--- /dev/null
+++ b/packages/genesis/src/components/GnDotGrid/GnDotGrid.vue
@@ -0,0 +1,74 @@
+<script lang="ts">
+  // Utilities
+  import { computed } from 'vue'
+
+  export interface GnDotGridProps {
+    /** Base color for the dots and lines; any CSS color. Defaults to the theme foreground. */
+    color?: string
+    /** Percentage of the radial fade kept fully transparent before it ramps to opaque. */
+    coverage?: number
+    /** Grid cell size, in pixels. */
+    density?: number
+    /** Connecting-line intensity as an alpha percentage; `0` disables the lines (dots only). */
+    lines?: number
+    /** Origin of the radial fade mask, e.g. `'bottom left'`. */
+    origin?: string
+  }
+</script>
+
+<script setup lang="ts">
+  const {
+    color = 'var(--v0-on-background)',
+    coverage = 15,
+    density = 20,
+    lines = 0,
+    origin = 'bottom left',
+  } = defineProps<GnDotGridProps>()
+
+  const maskStyle = computed(() => {
+    const fadeEnd = coverage + 20
+    const mask = `radial-gradient(ellipse at ${origin}, transparent 0%, transparent ${coverage}%, black ${fadeEnd}%)`
+
+    const dot = `radial-gradient(circle, color-mix(in srgb, ${color} 12%, transparent) 1px, transparent 1px)`
+
+    const layers = [dot]
+    // Dots are centered in each cell; offset the lines by half a cell so they
+    // cross through the dot centers, seating each dot on a grid intersection.
+    const positions = ['0 0']
+
+    if (lines > 0) {
+      const line = `color-mix(in srgb, ${color} ${lines}%, transparent)`
+      const half = density / 2
+      layers.push(
+        `linear-gradient(to right, ${line} 1px, transparent 1px)`,
+        `linear-gradient(to bottom, ${line} 1px, transparent 1px)`,
+      )
+      positions.push(`${half}px ${half}px`, `${half}px ${half}px`)
+    }
+
+    return {
+      maskImage: mask,
+      WebkitMaskImage: mask,
+      backgroundImage: layers.join(', '),
+      backgroundPosition: positions.join(', '),
+      backgroundSize: `${density}px ${density}px`,
+    }
+  })
+</script>
+
+<template>
+  <div
+    aria-hidden="true"
+    class="genesis-dot-grid"
+    :style="maskStyle"
+  />
+</template>
+
+<style scoped>
+  .genesis-dot-grid {
+    position: absolute;
+    inset: 0;
+    z-index: 0;
+    pointer-events: none;
+  }
+</style>
diff --git a/packages/genesis/src/components/GnDotGrid/index.ts b/packages/genesis/src/components/GnDotGrid/index.ts
new file mode 100644
index 000000000..72b500ad2
--- /dev/null
+++ b/packages/genesis/src/components/GnDotGrid/index.ts
@@ -0,0 +1,2 @@
+export type { GnDotGridProps } from './GnDotGrid.vue'
+export { default as GnDotGrid } from './GnDotGrid.vue'
diff --git a/packages/genesis/src/components/index.ts b/packages/genesis/src/components/index.ts
index 05b05803e..adba37c63 100644
--- a/packages/genesis/src/components/index.ts
+++ b/packages/genesis/src/components/index.ts
@@ -1 +1,2 @@
 export * from './GnDocsExample'
+export * from './GnDotGrid'