feat(branding): rebrand navigation from 'Soroban Generator' to 'Abaci One'

Changes:
- Add new subtitle data file with 75 three-word rhyming options
- Update AppNavBar to display "🧮 Abaci One" with random subtitle
- Implement Radix UI tooltip showing subtitle description on hover
- Use useMemo for performance (subtitle won't change on re-renders)
- Clean, minimal design with italic subtitle and help cursor

Implementation:
- Created `/src/data/abaciOneSubtitles.ts` with subtitle data structure
- Updated AppNavBar imports to include Radix Tooltip and subtitle util
- Wrapped navigation in Tooltip.Provider with 200ms delay
- Logo displays vertically with brand name and subtitle
- Tooltip shows description like "blaze through bead races" on hover

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>

apps/web/src/components/AppNavBar.tsx

@@ -1,13 +1,15 @@
 'use client'
 
 import * as DropdownMenu from '@radix-ui/react-dropdown-menu'
+import * as Tooltip from '@radix-ui/react-tooltip'
 import Link from 'next/link'
 import { usePathname, useRouter } from 'next/navigation'
-import React, { useState } from 'react'
+import React, { useMemo, useState } from 'react'
 import { css } from '../../styled-system/css'
 import { container, hstack } from '../../styled-system/patterns'
 import { Z_INDEX } from '../constants/zIndex'
 import { useFullscreen } from '../contexts/FullscreenContext'
+import { getRandomSubtitle } from '../data/abaciOneSubtitles'
 import { AbacusDisplayDropdown } from './AbacusDisplayDropdown'
 
 interface AppNavBarProps {
@@ -514,6 +516,9 @@ export function AppNavBar({ variant = 'full', navSlot }: AppNavBarProps) {
   const isArcadePage = pathname?.startsWith('/arcade')
   const { isFullscreen, toggleFullscreen, exitFullscreen } = useFullscreen()
 
+  // Select a random subtitle once on mount (performance: won't change on re-renders)
+  const subtitle = useMemo(() => getRandomSubtitle(), [])
+
   // Auto-detect variant based on context
   const actualVariant = variant === 'full' && (isGamePage || isArcadePage) ? 'minimal' : variant
 
@@ -533,53 +538,104 @@ export function AppNavBar({ variant = 'full', navSlot }: AppNavBarProps) {
   }
 
   return (
-    <header
-      className={css({
-        bg: 'white',
-        shadow: 'sm',
-        borderBottom: '1px solid',
-        borderColor: 'gray.200',
-        position: 'sticky',
-        top: 0,
-        zIndex: 30,
-      })}
-    >
-      <div className={container({ maxW: '7xl', px: '4', py: '3' })}>
-        <div className={hstack({ justify: 'space-between', alignItems: 'center' })}>
-          {/* Logo */}
-          <Link
-            href="/"
-            className={css({
-              fontSize: 'xl',
-              fontWeight: 'bold',
-              color: 'brand.800',
-              textDecoration: 'none',
-              _hover: { color: 'brand.900' },
-            })}
-          >
-            🧮 Soroban Generator
-          </Link>
+    <Tooltip.Provider delayDuration={200}>
+      <header
+        className={css({
+          bg: 'white',
+          shadow: 'sm',
+          borderBottom: '1px solid',
+          borderColor: 'gray.200',
+          position: 'sticky',
+          top: 0,
+          zIndex: 30,
+        })}
+      >
+        <div className={container({ maxW: '7xl', px: '4', py: '3' })}>
+          <div className={hstack({ justify: 'space-between', alignItems: 'center' })}>
+            {/* Logo */}
+            <Link
+              href="/"
+              className={css({
+                display: 'flex',
+                flexDirection: 'column',
+                gap: '0',
+                textDecoration: 'none',
+                _hover: { '& > .brand-name': { color: 'brand.900' } },
+              })}
+            >
+              <span
+                className={css({
+                  fontSize: 'xl',
+                  fontWeight: 'bold',
+                  color: 'brand.800',
+                })}
+              >
+                🧮 Abaci One
+              </span>
+              <Tooltip.Root>
+                <Tooltip.Trigger asChild>
+                  <span
+                    className={css({
+                      fontSize: 'xs',
+                      fontWeight: 'medium',
+                      color: 'brand.600',
+                      fontStyle: 'italic',
+                      cursor: 'help',
+                      _hover: { color: 'brand.700' },
+                    })}
+                  >
+                    {subtitle.text}
+                  </span>
+                </Tooltip.Trigger>
+                <Tooltip.Portal>
+                  <Tooltip.Content
+                    side="bottom"
+                    align="start"
+                    sideOffset={4}
+                    className={css({
+                      bg: 'gray.900',
+                      color: 'white',
+                      px: '3',
+                      py: '2',
+                      rounded: 'md',
+                      fontSize: 'sm',
+                      maxW: '250px',
+                      shadow: 'lg',
+                      zIndex: 50,
+                    })}
+                  >
+                    {subtitle.description}
+                    <Tooltip.Arrow
+                      className={css({
+                        fill: 'gray.900',
+                      })}
+                    />
+                  </Tooltip.Content>
+                </Tooltip.Portal>
+              </Tooltip.Root>
+            </Link>
 
-          <div className={hstack({ gap: '6', alignItems: 'center' })}>
-            {/* Navigation Links */}
-            <nav className={hstack({ gap: '4' })}>
-              <NavLink href="/create" currentPath={pathname}>
-                Create
-              </NavLink>
-              <NavLink href="/guide" currentPath={pathname}>
-                Guide
-              </NavLink>
-              <NavLink href="/games" currentPath={pathname}>
-                Games
-              </NavLink>
-            </nav>
+            <div className={hstack({ gap: '6', alignItems: 'center' })}>
+              {/* Navigation Links */}
+              <nav className={hstack({ gap: '4' })}>
+                <NavLink href="/create" currentPath={pathname}>
+                  Create
+                </NavLink>
+                <NavLink href="/guide" currentPath={pathname}>
+                  Guide
+                </NavLink>
+                <NavLink href="/games" currentPath={pathname}>
+                  Games
+                </NavLink>
+              </nav>
 
-            {/* Abacus Style Dropdown */}
-            <AbacusDisplayDropdown isFullscreen={false} />
+              {/* Abacus Style Dropdown */}
+              <AbacusDisplayDropdown isFullscreen={false} />
+            </div>
           </div>
         </div>
-      </div>
-    </header>
+      </header>
+    </Tooltip.Provider>
   )
 }
 

apps/web/src/data/abaciOneSubtitles.ts

@@ -0,0 +1,97 @@
+/**
+ * Abaci One subtitle options with descriptions
+ * Three-word rhyming subtitles for the main app navigation
+ */
+
+export interface Subtitle {
+  text: string
+  description: string
+}
+
+export const subtitles: Subtitle[] = [
+  { text: 'Speed Bead Lead', description: 'blaze through bead races' },
+  { text: 'Rod Mod Nod', description: 'tweak rod technique, approval earned' },
+  { text: 'Grid Kid Lid', description: 'lock in neat grid habits' },
+  { text: 'Count Mount Amount', description: 'stack up that number sense' },
+  { text: 'Stack Track Tack', description: 'line up beads, lock in sums' },
+  { text: 'Quick Flick Trick', description: 'rapid-fire bead tactics' },
+  { text: 'Flash Dash Math', description: 'fly through numeric challenges' },
+  { text: 'Slide Glide Pride', description: 'smooth soroban strokes' },
+  { text: 'Shift Sift Gift', description: 'sort beads, reveal talent' },
+  { text: 'Beat Seat Meet', description: 'compete head-to-head' },
+  { text: 'Brain Train Gain', description: 'mental math muscle building' },
+  { text: 'Flow Show Pro', description: 'demonstrate soroban mastery' },
+  { text: 'Fast Blast Past', description: 'surpass speed limits' },
+  { text: 'Snap Tap Map', description: 'chart your calculation path' },
+  { text: 'Row Grow Know', description: 'advance through structured drills' },
+  { text: 'Drill Skill Thrill', description: 'practice that excites' },
+  { text: 'Think Link Sync', description: 'connect mind and beads' },
+  { text: 'Boost Joust Roost', description: 'power up, compete, settle in' },
+  { text: 'Add Grad Rad', description: 'level up addition awesomely' },
+  { text: 'Sum Fun Run', description: 'enjoy the arithmetic sprint' },
+  { text: 'Track Stack Pack', description: 'organize solutions systematically' },
+  { text: 'Beat Neat Feat', description: 'clean victories, impressive wins' },
+  { text: 'Math Path Wrath', description: 'dominate numeric challenges' },
+  { text: 'Spark Mark Arc', description: 'ignite progress, track growth' },
+  { text: 'Race Pace Ace', description: 'speed up, master it' },
+  { text: 'Flex Hex Reflex', description: 'adapt calculations instantly' },
+  { text: 'Glide Pride Stride', description: 'smooth confident progress' },
+  { text: 'Flash Dash Smash', description: 'speed through, crush totals' },
+  { text: 'Stack Attack Jack', description: 'aggressive bead strategies' },
+  { text: 'Quick Pick Click', description: 'rapid bead selection' },
+  { text: 'Snap Map Tap', description: 'visualize and execute' },
+  { text: 'Mind Find Grind', description: 'discover mental endurance' },
+  { text: 'Flip Skip Rip', description: 'fast transitions, tear through' },
+  { text: 'Blend Trend Send', description: 'mix methods, share progress' },
+  { text: 'Power Tower Hour', description: 'build skills intensively' },
+  { text: 'Launch Staunch Haunch', description: 'start strong, stay firm' },
+  { text: 'Rush Crush Hush', description: 'speed quietly dominates' },
+  { text: 'Swipe Stripe Hype', description: 'sleek moves, excitement' },
+  { text: 'Train Gain Sustain', description: 'build lasting ability' },
+  { text: 'Frame Claim Flame', description: 'structure your fire' },
+  { text: 'Streak Peak Tweak', description: 'hot runs, optimize performance' },
+  { text: 'Edge Pledge Wedge', description: 'commit to precision' },
+  { text: 'Pace Grace Space', description: 'rhythm, elegance, room to grow' },
+  { text: 'Link Think Brink', description: 'connect at breakthrough edge' },
+  { text: 'Quest Test Best', description: 'challenge yourself to excel' },
+  { text: 'Drive Thrive Arrive', description: 'push hard, succeed, reach goals' },
+  { text: 'Smart Start Chart', description: 'begin wisely, track progress' },
+  { text: 'Boost Coast Toast', description: 'accelerate, cruise, celebrate' },
+  { text: 'Spark Dark Embark', description: 'ignite before dawn journeys' },
+  { text: 'Blaze Graze Amaze', description: 'burn through, touch lightly, wow' },
+  { text: 'Shift Drift Gift', description: 'adapt smoothly, reveal talent' },
+  { text: 'Zone Hone Own', description: 'focus, refine, claim mastery' },
+  { text: 'Vault Halt Exalt', description: 'leap high, pause, celebrate' },
+  { text: 'Peak Seek Streak', description: 'find heights, maintain momentum' },
+  { text: 'Glow Show Grow', description: 'shine, display, expand' },
+  { text: 'Scope Hope Rope', description: 'survey possibilities, climb up' },
+  { text: 'Core Score More', description: 'fundamentals yield better results' },
+  { text: 'Rank Bank Thank', description: 'earn status, save wins, appreciate' },
+  { text: 'Merge Surge Verge', description: 'combine forces, power up, edge closer' },
+  { text: 'Bold Gold Hold', description: 'brave attempts, prize rewards, maintain' },
+  { text: 'Rise Prize Wise', description: 'ascend, win, learn' },
+  { text: 'Move Groove Prove', description: 'act, find rhythm, demonstrate' },
+  { text: 'Trust Thrust Adjust', description: 'believe, push, refine' },
+  { text: 'Beam Dream Team', description: 'radiate, aspire, collaborate' },
+  { text: 'Spin Win Grin', description: 'rotate beads, succeed, smile' },
+  { text: 'String Ring Bring', description: 'connect, cycle, deliver' },
+  { text: 'Clear Gear Steer', description: 'focus, equip, direct' },
+  { text: 'Path Math Aftermath', description: 'route, calculate, results' },
+  { text: 'Play Slay Day', description: 'engage, dominate, own it' },
+  { text: 'Code Mode Road', description: 'pattern, style, journey' },
+  { text: 'Craft Draft Shaft', description: 'build, sketch, core structure' },
+  { text: 'Light Might Fight', description: 'illuminate, empower, compete' },
+  { text: 'Stream Dream Extreme', description: 'flow, envision, push limits' },
+  { text: 'Claim Frame Aim', description: 'assert, structure, target' },
+  { text: 'Chart Smart Start', description: 'map, intelligent, begin' },
+  { text: 'Bright Flight Height', description: 'brilliant, soar, elevation' },
+]
+
+/**
+ * Get a random subtitle from the list
+ * Uses current timestamp as seed for variety across sessions
+ */
+export function getRandomSubtitle(): Subtitle {
+  const index = Math.floor(Math.random() * subtitles.length)
+  return subtitles[index]
+}