Components
Carousel
Featured fade carousel (500ms crossfade, 5.2s autoplay that pauses on hover / focus / hidden tab and stays off with reduced motion, dots with a progress fill, 40px on-content nav), Embla slide carousel and the native tile strip.
Featured (fade + autoplay)
Only the current slide is visible; the others are aria-hidden and inert. Dots: 8px at 20 % ink, the current one 32px (450ms) with a fill over the 5.2s interval. Hover or focus pauses (the fill pauses too). Arrow keys on the focused region change slides.
Calendar
See your schedule and draft replies to invites.
Slide (Embla) and strip
variant slide keeps the shadcn Embla carousel (outline nav outside). The strip is a native scroller of 136px tiles with 12px gaps, a 56px end fade and a round 32px “Scroll right” control (hidden on touch and when nothing overflows).