/* ===========================================
   Potential Acoustic Gain (Explorable Explanation)
   Project-scoped styles. Inherits design tokens from base.css.
   =========================================== */

.pag-app {
    --pag-radius: var(--radius-lg);
    font-feature-settings: var(--feat-sans);
}

/* ---------- Masthead (slide 0) ---------- */
.pag-app .masthead {
    margin-bottom: 3rem;
}

.pag-app .eyebrow {
    font-family: var(--font-mono);
    font-size: var(--text-xs);
    color: var(--color-text-muted);
    margin-bottom: 1rem;
    font-weight: var(--weight-medium);
}

.pag-app .eyebrow .sep {
    color: var(--color-border);
    margin: 0 0.6em;
}

.pag-app .deck {
    font-family: var(--font-serif);
    font-size: 1.25rem;
    line-height: 1.5;
    color: var(--color-text-muted);
    max-width: 640px;
    font-variation-settings: "opsz" 22;
}

/* ---------- Prose ---------- */
.pag-app .content-wrapper {
    max-width: 640px;
    margin: 0 auto;
}

.pag-app .prose p {
    font-size: 1rem;
    line-height: 1.65;
    color: var(--color-text);
    margin: 0 0 1em;
}

.pag-app .prose .pull {
    font-family: var(--font-serif);
    font-size: 1.18rem;
    line-height: 1.5;
    color: var(--color-text);
    border-left: 3px solid var(--color-accent);
    padding-left: 1.25rem;
    margin: 1.75rem 0;
    font-variation-settings: "opsz" 21;
}

.pag-app .prose strong { font-weight: var(--weight-semibold); }

/* ---------- Stage panel (slide 0) ---------- */
.pag-app .stage-wrap {
    background: var(--color-card-bg);
    border: 1px solid var(--color-border);
    border-radius: var(--pag-radius);
    box-shadow: var(--shadow-sm);
    padding: 1.5rem;
    margin: 2.5rem 0;
    position: relative;
}

.pag-app .stage-wrap::before {
    content: 'Fig. 01';
    position: absolute;
    top: 1rem;
    right: 1.25rem;
    font-family: var(--font-mono);
    font-size: var(--text-xs);
    color: var(--color-text-muted);
}

/* ---------- PAG readout block ---------- */
.pag-app .pag-block {
    display: grid;
    grid-template-columns: auto 1fr;
    gap: 1.25rem;
    align-items: end;
    margin-bottom: 1.25rem;
    padding-bottom: 1.25rem;
    border-bottom: 1px solid var(--color-border);
}

.pag-app .pag-label {
    font-family: var(--font-mono);
    font-size: var(--text-xs);
    color: var(--color-text-muted);
    margin-bottom: 0.4rem;
    font-weight: var(--weight-medium);
}

.pag-app .pag-value {
    font-family: var(--font-serif);
    font-size: clamp(48px, 8vw, 88px);
    font-weight: var(--weight-semibold);
    line-height: 0.95;
    color: var(--color-text);
    letter-spacing: -0.03em;
    font-variant-numeric: tabular-nums;
    font-variation-settings: "opsz" 60;
    transition: color 0.2s ease;
}

.pag-app .pag-value .unit {
    font-family: var(--font-sans);
    font-weight: var(--weight-medium);
    font-size: 0.34em;
    color: var(--color-text-muted);
    margin-left: 0.4rem;
    vertical-align: 0.7em;
    letter-spacing: 0;
}

.pag-app .pag-value.good { color: var(--color-success); }
.pag-app .pag-value.bad { color: var(--color-text-muted); }

.pag-app .pag-meaning {
    text-align: right;
    padding-bottom: 0.5rem;
    color: var(--color-text-muted);
    font-size: 0.9rem;
    line-height: 1.45;
    max-width: 320px;
    justify-self: end;
}

.pag-app .pag-meaning strong {
    display: block;
    font-family: var(--font-mono);
    font-weight: var(--weight-medium);
    font-size: var(--text-xs);
    color: var(--color-text);
    margin-bottom: 0.2rem;
}

/* ---------- SVG stage ---------- */
.pag-app .stage {
    width: 100%;
    height: auto;
    display: block;
    touch-action: none;
    user-select: none;
    -webkit-user-select: none;
    overflow: visible;
}

.pag-app .stage .grid-tick {
    stroke: var(--color-border);
    stroke-width: 1;
}

.pag-app .stage .grid-label {
    font-family: var(--font-mono);
    font-size: 9.5px;
    fill: var(--color-text-muted);
}

.pag-app .dline {
    stroke: var(--color-accent);
    stroke-width: 1.4;
    fill: none;
    stroke-linecap: round;
}

.pag-app .dline.d0 {
    stroke: var(--color-text-muted);
    stroke-dasharray: 4 4;
    stroke-width: 1.1;
    opacity: 0.6;
}

.pag-app .dlabel-bg {
    fill: var(--color-card-bg);
    stroke: var(--color-border);
    stroke-width: 1;
}

.pag-app .dlabel-key {
    font-family: var(--font-serif);
    font-style: italic;
    font-size: 15px;
    fill: var(--color-accent);
    font-weight: var(--weight-semibold);
}

.pag-app .dlabel-val {
    font-family: var(--font-mono);
    font-size: 12px;
    fill: var(--color-text);
    font-weight: var(--weight-medium);
}

.pag-app .dlabel-sep {
    stroke: var(--color-border);
    stroke-width: 1;
}

/* Dark mode: accent is light blue, weak on light card. Use medium blue. */
[data-theme="dark"] .pag-app .dline,
[data-theme="dark"] .pag-app .dlabel-key,
[data-theme="dark"] .pag-app .relationship-caption {
    stroke: var(--color-accent-medium);
}
[data-theme="dark"] .pag-app .dlabel-key,
[data-theme="dark"] .pag-app .relationship-caption {
    fill: var(--color-accent-medium);
}

/* Draggable figures */
.pag-app .figure { cursor: grab; }
.pag-app .figure.dragging { cursor: grabbing; }

.pag-app .silhouette {
    fill: var(--color-text);
    transition: fill 0.15s ease;
}

/* Symbol-defs container in slide 0: holds the <symbol> definitions used by
   every other slide. Hidden in the layout but parsed for <use> references. */
.pag-app .symbol-defs {
    position: absolute;
    width: 0;
    height: 0;
    overflow: hidden;
}

/* Opaque rectangle behind the speaker silhouette so distance lines don't
   show through the driver-hole cutouts. Matches the stage background. */
.pag-app .speaker-backing {
    fill: var(--color-card-bg);
}

.pag-app .figure.dragging .silhouette,
.pag-app .figure.active .silhouette {
    fill: var(--color-accent);
}

[data-theme="dark"] .pag-app .figure.dragging .silhouette,
[data-theme="dark"] .pag-app .figure.active .silhouette {
    fill: var(--color-accent-medium);
}

.pag-app .figure .hit { fill: transparent; }

.pag-app .figure .handle-ring {
    fill: none;
    stroke: var(--color-accent);
    stroke-width: 1.4;
    opacity: 0;
    transition: opacity 0.18s ease;
    pointer-events: none;
}

.pag-app .figure:hover .handle-ring,
.pag-app .figure.dragging .handle-ring,
.pag-app .figure.active .handle-ring {
    opacity: 0.75;
}

[data-theme="dark"] .pag-app .figure .handle-ring {
    stroke: var(--color-accent-medium);
}

.pag-app .figure .anchor-dot {
    fill: var(--color-accent);
    opacity: 0;
    transition: opacity 0.18s ease;
    pointer-events: none;
}

.pag-app .figure:hover .anchor-dot,
.pag-app .figure.dragging .anchor-dot,
.pag-app .figure.active .anchor-dot {
    opacity: 1;
}

[data-theme="dark"] .pag-app .figure .anchor-dot {
    fill: var(--color-accent-medium);
}

/* Speaker driver cutouts adapt to card bg so dark mode works */
.pag-app .driver {
    stroke: var(--color-card-bg);
    stroke-width: 1.2;
    fill: none;
    stroke-linejoin: round;
    stroke-linecap: round;
}

/* ---------- Formula + readouts ---------- */
.pag-app .formula-row {
    margin-top: 1.25rem;
    padding-top: 1.25rem;
    border-top: 1px solid var(--color-border);
}

.pag-app .formula {
    font-family: var(--font-serif);
    font-size: 1.25rem;
    line-height: 1.2;
    color: var(--color-text);
    margin-bottom: 1.25rem;
    display: flex;
    align-items: center;
    flex-wrap: wrap;
    gap: 1.1rem;
    font-variation-settings: "opsz" 22;
}

.pag-app .formula .label {
    font-family: var(--font-mono);
    font-size: var(--text-xs);
    color: var(--color-text-muted);
    font-weight: var(--weight-medium);
}

.pag-app .formula-eq {
    display: inline-flex;
    align-items: center;
    flex-wrap: nowrap;
    gap: 0.35rem;
    white-space: nowrap;
}

.pag-app .formula .frac {
    display: inline-flex;
    flex-direction: column;
    text-align: center;
    vertical-align: middle;
    line-height: 1;
    font-style: italic;
}

.pag-app .formula .frac .num,
.pag-app .formula .frac .den {
    padding: 0 0.35rem;
}

.pag-app .formula .frac .num {
    border-bottom: 1.5px solid var(--color-text);
    padding-bottom: 0.18rem;
}

.pag-app .formula .frac .den { padding-top: 0.18rem; }
.pag-app .formula .log { font-style: normal; }
.pag-app .formula sub {
    font-size: 0.6em;
    vertical-align: baseline;
    position: relative;
    bottom: -0.4em;
}
.pag-app .formula em { font-style: italic; }
.pag-app .formula .brack {
    font-size: 1.35em;
    line-height: 0.5;
    padding: 0 0.15rem;
}

.pag-app .dist-grid {
    display: grid;
    grid-template-columns: repeat(4, minmax(0, 1fr));
    gap: 0.625rem;
}

.pag-app .dist-cell {
    background: var(--color-bg);
    border: 1px solid var(--color-border);
    border-radius: var(--radius-md);
    padding: 0.65rem 0.75rem 0.7rem;
    min-width: 0;
}

.pag-app .dist-cell .k {
    font-family: var(--font-serif);
    font-style: italic;
    font-size: 1rem;
    color: var(--color-accent);
    display: block;
    margin-bottom: 0.15rem;
    line-height: 1;
    font-weight: var(--weight-semibold);
}

[data-theme="dark"] .pag-app .dist-cell .k {
    color: var(--color-accent-medium);
}

.pag-app .dist-cell .v {
    font-family: var(--font-mono);
    font-size: 0.8rem;
    color: var(--color-text);
    font-weight: var(--weight-medium);
    font-variant-numeric: tabular-nums;
    line-height: 1.2;
    white-space: nowrap;
}

.pag-app .dist-cell .v .decimal {
    color: var(--color-text-muted);
    font-size: 0.7rem;
    margin-left: 0.25rem;
}

/* ---------- Experiments ---------- */
.pag-app .experiments { margin: 3rem 0 2rem; }

.pag-app .section-head {
    display: flex;
    align-items: baseline;
    gap: 1rem;
    margin-bottom: 1.5rem;
}

.pag-app .section-head h2 {
    font-size: 1.95rem;
    margin: 0;
    font-variation-settings: "opsz" 35;
    font-family: var(--font-serif);
    font-weight: var(--weight-semibold);
}

.pag-app .section-head .num {
    font-family: var(--font-mono);
    font-size: var(--text-xs);
    color: var(--color-accent);
    font-weight: var(--weight-medium);
}

[data-theme="dark"] .pag-app .section-head .num {
    color: var(--color-accent-medium);
}

.pag-app .section-head .rule {
    flex: 1;
    height: 1px;
    background: var(--color-border);
    margin-bottom: 0.6rem;
}

.pag-app .exp-grid {
    display: grid;
    grid-template-columns: repeat(auto-fit, minmax(260px, 1fr));
    gap: 1rem;
}

.pag-app .exp-card {
    background: var(--color-card-bg);
    border: 1px solid var(--color-border);
    border-radius: var(--pag-radius);
    box-shadow: var(--shadow-sm);
    padding: 1.25rem;
    cursor: pointer;
    text-align: left;
    font-family: inherit;
    color: inherit;
    display: flex;
    flex-direction: column;
    gap: 0.55rem;
    transition: border-color 0.2s ease, box-shadow 0.2s ease;
}

.pag-app .exp-card:hover {
    border-color: var(--color-accent);
    box-shadow: var(--shadow-accent);
}

.pag-app .exp-card:focus-visible {
    outline: 2px solid var(--color-accent);
    outline-offset: 2px;
}

.pag-app .exp-card .tag {
    font-family: var(--font-mono);
    font-size: 0.7rem;
    color: var(--color-accent);
    font-weight: var(--weight-medium);
}

[data-theme="dark"] .pag-app .exp-card .tag,
[data-theme="dark"] .pag-app .exp-card .cta {
    color: var(--color-accent-medium);
}

.pag-app .exp-card h3 {
    font-size: 1.18rem;
    margin: 0;
    line-height: 1.2;
    font-variation-settings: "opsz" 22;
    font-family: var(--font-serif);
    font-weight: var(--weight-semibold);
}

.pag-app .exp-card p {
    margin: 0;
    font-size: 0.88rem;
    line-height: 1.5;
    color: var(--color-text-muted);
}

.pag-app .exp-card .cta {
    margin-top: 0.3rem;
    font-family: var(--font-mono);
    font-size: 0.75rem;
    color: var(--color-accent);
    font-weight: var(--weight-medium);
    display: inline-flex;
    align-items: center;
    gap: 0.3rem;
}

.pag-app .exp-card .cta::after {
    content: '→';
    transition: transform 0.15s ease;
}

.pag-app .exp-card:hover .cta::after {
    transform: translateX(3px);
}

/* ---------- Takeaway ---------- */
.pag-app .takeaway {
    background: var(--color-accent);
    color: white;
    border-radius: var(--pag-radius);
    padding: 2.5rem 2rem;
    margin: 3rem 0 0;
    position: relative;
    overflow: hidden;
}

[data-theme="dark"] .pag-app .takeaway {
    background: var(--color-accent-medium);
}

.pag-app .takeaway::before {
    content: '';
    position: absolute;
    top: -2.5rem;
    right: -2.5rem;
    width: 15rem;
    height: 15rem;
    border: 1px solid rgba(255, 255, 255, 0.18);
    border-radius: 50%;
}

.pag-app .takeaway::after {
    content: '';
    position: absolute;
    top: -1.25rem;
    right: -1.25rem;
    width: 12rem;
    height: 12rem;
    border: 1px solid rgba(255, 255, 255, 0.12);
    border-radius: 50%;
}

.pag-app .takeaway .eyebrow {
    color: rgba(255, 255, 255, 0.75);
    margin-bottom: 1rem;
}

.pag-app .takeaway h2 {
    color: white;
    font-size: 1.95rem;
    margin: 0 0 1rem;
    font-variation-settings: "opsz" 35;
    max-width: 700px;
    position: relative;
    font-family: var(--font-serif);
    font-weight: var(--weight-semibold);
}

.pag-app .takeaway p {
    color: rgba(255, 255, 255, 0.85);
    font-size: 0.95rem;
    line-height: 1.65;
    max-width: 620px;
    margin: 0 0 1em;
}

.pag-app .takeaway .principles {
    list-style: none;
    padding: 0;
    margin: 1.5rem 0 0;
    counter-reset: p;
    display: grid;
    gap: 0.7rem;
}

.pag-app .takeaway .principles li {
    display: grid;
    grid-template-columns: 2.25rem 1fr;
    gap: 0.5rem;
    align-items: baseline;
    font-size: 0.92rem;
    color: white;
    line-height: 1.55;
    counter-increment: p;
}

.pag-app .takeaway .principles li::before {
    content: counter(p, decimal-leading-zero);
    font-family: var(--font-mono);
    font-size: 0.7rem;
    color: rgba(255, 255, 255, 0.7);
}

/* ---------- Colophon ---------- */
.pag-app .colophon {
    margin-top: 3rem;
    padding-top: 1.5rem;
    border-top: 1px solid var(--color-border);
    font-size: var(--text-xs);
    color: var(--color-text-muted);
    line-height: 1.65;
    max-width: 740px;
}

/* Links across the explorable. Accent-colored with a clear underline so
   they read as obviously clickable, not as styled body text. */
.pag-app .prose a,
.pag-app .colophon a {
    color: var(--color-accent);
    text-decoration: underline;
    text-decoration-thickness: 1.5px;
    text-decoration-color: color-mix(in srgb, var(--color-accent) 55%, transparent);
    text-underline-offset: 3px;
    transition: color 0.15s ease, text-decoration-color 0.15s ease;
}

.pag-app .prose a:hover,
.pag-app .colophon a:hover {
    color: var(--color-accent-hover);
    text-decoration-color: var(--color-accent-hover);
}

[data-theme="dark"] .pag-app .prose a,
[data-theme="dark"] .pag-app .colophon a {
    color: var(--color-accent-medium);
    text-decoration-color: color-mix(in srgb, var(--color-accent-medium) 55%, transparent);
}

[data-theme="dark"] .pag-app .prose a:hover,
[data-theme="dark"] .pag-app .colophon a:hover {
    color: var(--color-accent);
    text-decoration-color: var(--color-accent);
}

/* ---------- Static diagrams (slides 2, 3, 4, 5, 6) ---------- */
.pag-app .diagram-figure {
    margin: 2.5rem auto 0;
    max-width: 1100px;
    position: relative;
}

.pag-app .formula.below-diagram {
    display: inline-flex;
    margin: 1.5rem auto 0;
    background: var(--color-card-bg);
    border: 1px solid var(--color-border);
    border-radius: var(--radius-md);
    padding: 0.8rem 1.5rem;
    font-size: 1.55rem;
    box-shadow: var(--shadow-sm);
    font-variation-settings: "opsz" 28;
}

.pag-app .formula.below-diagram + .content-wrapper {
    margin-top: 1.75rem;
}

.pag-app .formula.in-canvas {
    width: 100%;
    height: 100%;
    margin: 0;
    display: flex;
    flex-direction: column;
    justify-content: center;
    align-items: center;
    gap: 0.85rem;
    font-size: 24px;
    line-height: 1.2;
    font-variation-settings: "opsz" 28;
}

.pag-app .formula.in-canvas .formula-eq {
    gap: 0.4rem;
}

.pag-app .formula.in-canvas .formula-eq.numeric {
    font-size: 21px;
    color: var(--color-text-muted);
}

.pag-app .formula.in-canvas .formula-eq.numeric .frac .num,
.pag-app .formula.in-canvas .formula-eq.numeric .frac .den {
    font-style: normal;
    font-family: var(--font-mono);
    font-size: 0.82em;
    font-variant-numeric: tabular-nums;
}

.pag-app .formula.in-canvas .formula-eq.numeric .frac .num {
    border-bottom-color: var(--color-text-muted);
}

.pag-app .formula.in-canvas.side-by-side {
    flex-direction: row;
    gap: 1.8rem;
    flex-wrap: wrap;
}

.pag-app .formula.in-canvas.side-by-side .formula-eq { font-size: 22px; }
.pag-app .formula.in-canvas.side-by-side .formula-eq.numeric { font-size: 20px; }

/* Interactive figure cursor for slide 5+ */
.pag-app .static-stage.interactive .figure {
    cursor: grab;
    touch-action: none;
    /* Persistent subtle halo so users can see at a glance which figures are
       interactive. Intensifies on hover/drag/keyboard focus. */
    filter: drop-shadow(0 0 4px color-mix(in srgb, var(--color-accent) 35%, transparent));
    transition: filter 0.18s ease;
}

.pag-app .static-stage.interactive .figure:hover,
.pag-app .static-stage.interactive .figure.dragging,
.pag-app .static-stage.interactive .figure.active,
.pag-app .static-stage.interactive .figure:focus-visible {
    filter:
        drop-shadow(0 0 5px color-mix(in srgb, var(--color-accent) 70%, transparent))
        drop-shadow(0 0 12px color-mix(in srgb, var(--color-accent) 45%, transparent));
}

[data-theme="dark"] .pag-app .static-stage.interactive .figure {
    filter: drop-shadow(0 0 4px color-mix(in srgb, var(--color-accent-medium) 35%, transparent));
}
[data-theme="dark"] .pag-app .static-stage.interactive .figure:hover,
[data-theme="dark"] .pag-app .static-stage.interactive .figure.dragging,
[data-theme="dark"] .pag-app .static-stage.interactive .figure.active,
[data-theme="dark"] .pag-app .static-stage.interactive .figure:focus-visible {
    filter:
        drop-shadow(0 0 5px color-mix(in srgb, var(--color-accent-medium) 70%, transparent))
        drop-shadow(0 0 12px color-mix(in srgb, var(--color-accent-medium) 45%, transparent));
}

.pag-app .static-stage.interactive .figure.dragging { cursor: grabbing; }
.pag-app .static-stage.interactive .figure:focus { outline: none; }

/* Slide 5 drag-hint banner + first-visit pulse */
.pag-app .diagram-figure.has-hint { position: relative; }

.pag-app .drag-hint {
    position: absolute;
    top: 1.25rem;
    left: 50%;
    transform: translateX(-50%) translateY(-0.5rem);
    z-index: 3;
    display: inline-flex;
    align-items: center;
    gap: 0.55rem;
    padding: 0.55rem 0.95rem;
    background: var(--color-card-bg);
    color: var(--color-text);
    border: 1px solid var(--color-accent);
    border-radius: 999px;
    box-shadow: 0 4px 14px color-mix(in srgb, var(--color-accent) 22%, transparent);
    font-family: var(--font-sans);
    font-size: 0.92rem;
    font-weight: var(--weight-medium);
    opacity: 0;
    pointer-events: none;
    transition: opacity 0.35s ease, transform 0.35s ease;
}

.pag-app .drag-hint.is-visible {
    opacity: 1;
    transform: translateX(-50%) translateY(0);
}

.pag-app .drag-hint-icon {
    width: 18px;
    height: 18px;
    color: var(--color-accent);
    flex-shrink: 0;
}

[data-theme="dark"] .pag-app .drag-hint {
    border-color: var(--color-accent-medium);
    box-shadow: 0 4px 14px color-mix(in srgb, var(--color-accent-medium) 22%, transparent);
}
[data-theme="dark"] .pag-app .drag-hint-icon { color: var(--color-accent-medium); }

/* Brief synchronized glow on the figures, triggered once when the user
   lands on slide 5. The animation only runs while the .is-pulsing class
   is present on the stage. */
@keyframes pag-figure-pulse {
    0%   { filter: drop-shadow(0 0 4px color-mix(in srgb, var(--color-accent) 35%, transparent)); }
    40%  { filter:
            drop-shadow(0 0 8px color-mix(in srgb, var(--color-accent) 90%, transparent))
            drop-shadow(0 0 22px color-mix(in srgb, var(--color-accent) 60%, transparent)); }
    100% { filter: drop-shadow(0 0 4px color-mix(in srgb, var(--color-accent) 35%, transparent)); }
}

.pag-app .static-stage.interactive.is-pulsing .figure {
    animation: pag-figure-pulse 1.2s ease-in-out 2;
}

@media (prefers-reduced-motion: reduce) {
    .pag-app .drag-hint { transition: opacity 0.001s; }
    .pag-app .static-stage.interactive.is-pulsing .figure { animation: none; }
}

/* Reveal button (slide 6+) */
.pag-app .diagram-figure.relationships {
    position: relative;
}

.pag-app .reveal-btn {
    position: absolute;
    top: 0.4rem;
    right: 1.25rem;
    z-index: 2;
    display: inline-flex;
    align-items: center;
    gap: 0.6rem;
    padding: 0.55rem 0.95rem 0.55rem 0.75rem;
    background: var(--color-card-bg);
    border: 1px solid var(--color-border);
    border-radius: var(--radius-md);
    cursor: pointer;
    font-family: var(--font-sans);
    font-size: 0.9rem;
    font-weight: var(--weight-medium);
    color: var(--color-text);
    box-shadow: var(--shadow-sm);
    transition: border-color 0.18s ease, background 0.18s ease, transform 0.12s ease;
}

.pag-app .reveal-btn:hover {
    border-color: var(--color-accent);
    background: color-mix(in srgb, var(--color-accent) 6%, var(--color-card-bg));
}

.pag-app .reveal-btn:active {
    transform: translateY(1px);
}

.pag-app .reveal-btn:focus-visible {
    outline: 2px solid var(--color-accent);
    outline-offset: 2px;
}

.pag-app .reveal-btn .eye-icon {
    width: 20px;
    height: 20px;
    color: var(--color-accent);
    flex-shrink: 0;
}

[data-theme="dark"] .pag-app .reveal-btn .eye-icon {
    color: var(--color-accent-medium);
}

/* Microphone directivity (slide 7) */
.pag-app .pattern-toggle {
    position: absolute;
    top: 1.25rem;
    right: 1.25rem;
    z-index: 2;
    display: inline-flex;
    background: var(--color-card-bg);
    border: 1px solid var(--color-border);
    border-radius: var(--radius-md);
    padding: 0.2rem;
    box-shadow: var(--shadow-sm);
}

.pag-app .pattern-btn {
    background: transparent;
    border: none;
    padding: 0.4rem 0.75rem;
    font-family: var(--font-sans);
    font-size: 0.82rem;
    font-weight: var(--weight-medium);
    color: var(--color-text-muted);
    cursor: pointer;
    border-radius: var(--radius-sm);
    transition: background 0.15s ease, color 0.15s ease;
}

.pag-app .pattern-btn:hover {
    color: var(--color-text);
}

.pag-app .pattern-btn.is-active {
    background: var(--color-accent);
    color: #ffffff;
}

[data-theme="dark"] .pag-app .pattern-btn.is-active {
    background: var(--color-accent-medium);
}

.pag-app .pattern-btn:focus-visible {
    outline: 2px solid var(--color-accent);
    outline-offset: 2px;
}

/* Slide 8 — second toggle (loudspeaker) sits below the mic toggle. */
.pag-app .pattern-toggle.pattern-toggle-speaker {
    top: 4.25rem;
}

.pag-app .speaker-btn {
    background: transparent;
    border: none;
    padding: 0.4rem 0.75rem;
    font-family: var(--font-sans);
    font-size: 0.82rem;
    font-weight: var(--weight-medium);
    color: var(--color-text-muted);
    cursor: pointer;
    border-radius: var(--radius-sm);
    transition: background 0.15s ease, color 0.15s ease;
}

.pag-app .speaker-btn:hover {
    color: var(--color-text);
}

.pag-app .speaker-btn.is-active {
    background: var(--color-warning);
    color: #ffffff;
    transition: background 0.2s ease;
}
.pag-app .speaker-btn.is-active[data-speaker="90"] { background: #f59e0b; }
.pag-app .speaker-btn.is-active[data-speaker="60"] { background: #f97316; }
.pag-app .speaker-btn.is-active[data-speaker="40"] { background: #ef4444; }

.pag-app .speaker-btn:focus-visible {
    outline: 2px solid var(--color-warning);
    outline-offset: 2px;
}

/* Speaker coverage cone — color shifts hotter as the beam narrows.
   --cone-color is set per-pattern via [data-bw] on the lobe group. */
.pag-app .speaker-lobe {
    --cone-color: #f59e0b;  /* default: amber (90°) */
}
.pag-app .speaker-lobe[data-bw="90"] { --cone-color: #f59e0b; }  /* amber */
.pag-app .speaker-lobe[data-bw="60"] { --cone-color: #f97316; }  /* orange */
.pag-app .speaker-lobe[data-bw="40"] { --cone-color: #ef4444; }  /* red */

.pag-app .speaker-lobe path {
    fill: var(--cone-color);
    stroke: var(--cone-color);
    stroke-width: 1;
    stroke-opacity: 0.45;
    pointer-events: none;
    transition: fill 0.2s ease, stroke 0.2s ease;
}
.pag-app .speaker-cone-6 { fill-opacity: 0.12; }
.pag-app .speaker-cone-0 { fill-opacity: 0.22; }

.pag-app .speaker-cone-label {
    font-family: var(--font-mono);
    font-size: 12px;
    font-weight: var(--weight-medium);
    fill: var(--cone-color, var(--color-warning));
    fill-opacity: 0.85;
    pointer-events: none;
    paint-order: stroke fill;
    stroke: var(--color-card-bg);
    stroke-width: 3;
    stroke-linejoin: round;
    transition: fill 0.2s ease;
}

.pag-app .speaker-cone-label-axis {
    font-size: 11px;
    letter-spacing: 0.08em;
}

.pag-app .mic-onaxis {
    stroke: var(--color-accent);
    stroke-width: 1;
    stroke-dasharray: 3 3;
    fill: none;
    opacity: 0.55;
}

[data-theme="dark"] .pag-app .mic-onaxis {
    stroke: var(--color-accent-medium);
}

.pag-app .polar-lobe path {
    fill: var(--color-accent);
    fill-opacity: 0.18;
    stroke: var(--color-accent);
    stroke-width: 1.2;
    stroke-opacity: 0.85;
    pointer-events: none;
}

[data-theme="dark"] .pag-app .polar-lobe path {
    fill: var(--color-accent-medium);
    stroke: var(--color-accent-medium);
}

.pag-app .angle-arc {
    fill: none;
    stroke: var(--color-text-muted);
    stroke-width: 1;
    stroke-dasharray: 2 2;
    opacity: 0.7;
}

.pag-app .angle-label {
    font-family: var(--font-mono);
    font-size: 11px;
    font-weight: var(--weight-medium);
    fill: var(--color-text);
}

.pag-app .formula-correction {
    color: var(--color-text-muted);
    font-style: italic;
    font-size: 0.85em;
}

.pag-app .relationship-caption {
    font-family: var(--font-serif);
    font-size: 22px;
    fill: var(--color-accent);
    font-weight: var(--weight-semibold);
    transition: opacity 0.35s ease;
}

/* Slide 9 — gradient marker line spanning the two speaker positions */
.pag-app .gain-marker-gradient {
    stroke: url(#s9-gainGradient);
    stroke-width: 3;
    stroke-linecap: round;
}
.pag-app .gain-marker-label {
    font-family: var(--font-sans);
    font-size: 16px;
    font-weight: var(--weight-semibold);
    letter-spacing: 0.02em;
}
.pag-app .gain-marker-good-label { fill: var(--color-success); }
.pag-app .gain-marker-bad-label  { fill: var(--color-error); }

.pag-app .pag-bar.is-bad {
    background: var(--color-error);
}
[data-theme="dark"] .pag-app .pag-bar.is-bad {
    background: var(--color-error);
}
.pag-app .pag-bar.is-bad .value {
    font-family: var(--font-sans);
    font-size: 17px;
    font-weight: var(--weight-semibold);
    letter-spacing: 0.08em;
    text-transform: uppercase;
}

/* PAG result bar */
.pag-app .pag-bar {
    width: 100%;
    height: 100%;
    box-sizing: border-box;
    background: var(--color-accent);
    border-radius: var(--radius-md);
    color: #ffffff;
    display: flex;
    align-items: center;
    justify-content: center;
    gap: 1.25rem;
    padding: 0 1.25rem;
    font-family: var(--font-sans);
    font-size: 17px;
    font-weight: var(--weight-medium);
}

[data-theme="dark"] .pag-app .pag-bar {
    background: var(--color-accent-medium);
}

.pag-app .pag-bar .label { letter-spacing: 0.01em; }

.pag-app .pag-bar .value {
    font-family: var(--font-mono);
    font-size: 22px;
    font-weight: var(--weight-semibold);
    font-variant-numeric: tabular-nums;
    letter-spacing: -0.01em;
}

.pag-app .formula-host {
    display: flex;
    justify-content: center;
    margin: 0 auto;
    max-width: 1100px;
}

.pag-app .diagram-figure + .content-wrapper {
    margin-top: 2rem;
}

.pag-app .static-stage {
    width: 100%;
    height: auto;
    display: block;
    background: var(--color-card-bg);
    border: 1px solid var(--color-border);
    border-radius: var(--pag-radius);
    box-shadow: var(--shadow-sm);
    padding: 1rem;
}

.pag-app .static-stage .component-label {
    font-family: var(--font-sans);
    font-size: 14px;
    fill: var(--color-accent);
    font-weight: var(--weight-medium);
}

[data-theme="dark"] .pag-app .static-stage .component-label {
    fill: var(--color-accent-medium);
}

.pag-app .floor {
    stroke: var(--color-border);
    stroke-width: 1.5;
}

.pag-app .static-stage {
    --console-fill: var(--color-text-muted);
    --fader-fill:   var(--color-card-bg);
    --led-fill:     var(--color-success);
}

/* ---------- Slide 1 specifics ---------- */
.pag-app .slide-eyebrow {
    font-family: var(--font-mono);
    font-size: var(--text-xs);
    color: var(--color-accent);
    margin-bottom: 1.25rem;
    font-weight: var(--weight-medium);
}

[data-theme="dark"] .pag-app .slide-eyebrow {
    color: var(--color-accent-medium);
}

.pag-app .slide-eyebrow .sep {
    color: var(--color-border);
    margin: 0 0.5em;
}

.pag-app .slide-lede {
    font-family: var(--font-serif);
    font-size: 1.18rem;
    line-height: 1.5;
    color: var(--color-text);
    max-width: 640px;
    margin: 0 0 2rem;
    font-variation-settings: "opsz" 21;
}

.pag-app .slide-title {
    font-family: var(--font-serif);
    font-size: 2.44rem;
    font-weight: var(--weight-semibold);
    line-height: 1.15;
    letter-spacing: -0.02em;
    margin: 0 0 0.6em;
    font-variation-settings: "opsz" 44;
}

.pag-app .review-panel {
    background: var(--color-accent-light);
    border: 1px solid var(--color-border);
    border-left: 3px solid var(--color-accent);
    border-radius: var(--pag-radius);
    padding: 2.25rem 2.5rem 2rem;
    margin: 2rem 0;
    max-width: 740px;
    position: relative;
    box-shadow: var(--shadow-sm);
}

[data-theme="dark"] .pag-app .review-panel {
    background: var(--color-card-bg);
    border-left-color: var(--color-accent-medium);
}

.pag-app .review-panel .panel-label {
    position: absolute;
    top: -0.6rem;
    left: 1.5rem;
    background: var(--color-bg);
    padding: 0 0.7rem;
    font-family: var(--font-mono);
    font-size: 0.7rem;
    color: var(--color-accent);
    font-weight: var(--weight-medium);
}

[data-theme="dark"] .pag-app .review-panel .panel-label {
    color: var(--color-accent-medium);
}

.pag-app .review-panel p {
    margin: 0 0 1.1em;
    font-size: 1rem;
    line-height: 1.6;
    color: var(--color-text);
}

.pag-app .review-panel p:last-child {
    margin-bottom: 0;
}

.pag-app .review-panel strong {
    font-weight: var(--weight-semibold);
}

.pag-app .slide-transition {
    font-family: var(--font-serif);
    color: var(--color-text-muted);
    font-size: 1rem;
    margin: 0;
    max-width: 640px;
    font-variation-settings: "opsz" 18;
}

.pag-app .slide-transition .arrow {
    color: var(--color-accent);
    font-weight: var(--weight-semibold);
}

[data-theme="dark"] .pag-app .slide-transition .arrow {
    color: var(--color-accent-medium);
}

/* ---------- Slide system ---------- */
.pag-app .slide-host {
    padding-bottom: 6rem;
}

.pag-app .slide {
    display: none;
}

.pag-app .slide.is-active {
    display: block;
    animation: pag-slide-in 0.35s ease;
}

@keyframes pag-slide-in {
    from { opacity: 0; transform: translateY(8px); }
    to { opacity: 1; transform: none; }
}

/* ---------- Slide navigation ---------- */
.pag-app .slide-nav {
    position: fixed;
    bottom: 1.25rem;
    left: 50%;
    transform: translateX(-50%);
    background: var(--color-card-bg);
    border: 1px solid var(--color-border);
    border-radius: var(--pag-radius);
    box-shadow: var(--shadow-md);
    padding: 0.3rem;
    display: flex;
    align-items: center;
    gap: 0.15rem;
    z-index: 100;
}

.pag-app .slide-nav button {
    background: transparent;
    border: none;
    color: var(--color-text);
    width: 40px;
    height: 40px;
    border-radius: var(--radius-md);
    display: inline-flex;
    align-items: center;
    justify-content: center;
    cursor: pointer;
    padding: 0;
    transition: background-color 0.15s ease, color 0.15s ease;
}

.pag-app .slide-nav button:hover:not(:disabled) {
    background: var(--color-accent);
    color: #ffffff;
}

[data-theme="dark"] .pag-app .slide-nav button:hover:not(:disabled) {
    background: var(--color-accent-medium);
    color: #ffffff;
}

.pag-app .slide-nav button:focus-visible {
    outline: 2px solid var(--color-accent);
    outline-offset: 2px;
}

.pag-app .slide-nav button:disabled {
    opacity: 0.4;
    cursor: not-allowed;
}

.pag-app .slide-nav button svg {
    width: 22px;
    height: 22px;
}

.pag-app .slide-nav .indicator {
    width: auto;
    height: 40px;
    padding: 0 0.85rem;
    font-family: var(--font-mono);
    font-size: 0.8rem;
    color: var(--color-text);
    font-weight: var(--weight-medium);
    font-variant-numeric: tabular-nums;
    min-width: 64px;
    text-align: center;
}

.pag-app .slide-nav .indicator .sep,
.pag-app .slide-nav .indicator .total {
    color: var(--color-text-muted);
}

/* When the indicator's blue hover/active state takes over, the muted
   sep/total become unreadable — lift them to white to match .current. */
.pag-app .slide-nav .indicator:hover:not(:disabled) .sep,
.pag-app .slide-nav .indicator:hover:not(:disabled) .total,
.pag-app .slide-nav .indicator[aria-expanded="true"] .sep,
.pag-app .slide-nav .indicator[aria-expanded="true"] .total {
    color: #ffffff;
}

/* ---------------------------------------------------------------------
   Slide-jump popup — vertical list of "NN  Title" entries.

   IMPORTANT: every selector below is scoped under `.slide-nav .slide-jump`
   so it beats the generic `.pag-app .slide-nav button` rule (which forces
   a 40x40 inline-flex box on ANY button inside .slide-nav). Without that
   extra specificity the jump-menu items collapse into a 40px cluster.
   --------------------------------------------------------------------- */
.pag-app .slide-nav .slide-jump {
    position: absolute;
    bottom: calc(100% + 0.5rem);
    left: 50%;
    transform: translateX(-50%);
    box-sizing: border-box;
    background: var(--color-card-bg);
    border: 1px solid var(--color-border);
    border-radius: var(--radius-lg);
    box-shadow: var(--shadow-md);
    padding: 0.4rem;
    display: block;
    width: 300px;
    max-width: 90vw;
    max-height: 70vh;
    overflow-y: auto;
}

.pag-app .slide-nav .slide-jump[hidden] {
    display: none;
}

.pag-app .slide-nav .slide-jump .slide-jump-item {
    box-sizing: border-box;
    display: block;
    width: 100%;
    height: auto;
    margin: 0 0 0.15rem;
    background: transparent;
    border: 1px solid transparent;
    border-radius: var(--radius-md);
    padding: 0.5rem 0.7rem;
    color: var(--color-text);
    cursor: pointer;
    text-align: left;
    white-space: nowrap;
    font: inherit;
    transition: background-color 0.12s ease, color 0.12s ease;
}
.pag-app .slide-nav .slide-jump .slide-jump-item:last-child {
    margin-bottom: 0;
}

.pag-app .slide-nav .slide-jump .slide-jump-num {
    display: inline-block;
    width: 1.7rem;
    margin-right: 0.35rem;
    font-family: var(--font-mono);
    font-size: 0.78rem;
    font-weight: var(--weight-medium);
    color: var(--color-text-muted);
    font-variant-numeric: tabular-nums;
}

.pag-app .slide-nav .slide-jump .slide-jump-title {
    font-family: var(--font-sans);
    font-size: 0.9rem;
    font-weight: var(--weight-medium);
}

.pag-app .slide-nav .slide-jump .slide-jump-item:hover {
    background: color-mix(in srgb, var(--color-accent) 14%, transparent);
    color: var(--color-accent);
}
.pag-app .slide-nav .slide-jump .slide-jump-item:hover .slide-jump-num {
    color: var(--color-accent);
}
[data-theme="dark"] .pag-app .slide-nav .slide-jump .slide-jump-item:hover {
    background: color-mix(in srgb, var(--color-accent-medium) 22%, transparent);
    color: var(--color-accent-medium);
}
[data-theme="dark"] .pag-app .slide-nav .slide-jump .slide-jump-item:hover .slide-jump-num {
    color: var(--color-accent-medium);
}

.pag-app .slide-nav .slide-jump .slide-jump-item.is-current {
    background: var(--color-accent);
    color: #ffffff;
}
.pag-app .slide-nav .slide-jump .slide-jump-item.is-current .slide-jump-num {
    color: #ffffff;
    opacity: 0.85;
}
[data-theme="dark"] .pag-app .slide-nav .slide-jump .slide-jump-item.is-current {
    background: var(--color-accent-medium);
}
.pag-app .slide-nav .slide-jump .slide-jump-item.is-current:hover,
.pag-app .slide-nav .slide-jump .slide-jump-item.is-current:hover .slide-jump-num {
    color: #ffffff;
}

.pag-app .slide-nav .slide-jump .slide-jump-item:focus-visible {
    outline: 2px solid var(--color-accent);
    outline-offset: 2px;
}

.pag-app .stage text {
    pointer-events: none;
}

/* Slide 10 — Faders in action */
.pag-app .operator-hit {
    cursor: pointer;
    transition: filter 0.15s ease;
}

.pag-app .operator-hit:hover {
    filter: brightness(1.08) drop-shadow(0 0 6px color-mix(in srgb, var(--color-accent) 50%, transparent));
}

.pag-app .operator-hit:focus-visible {
    outline: 2px solid var(--color-accent);
    outline-offset: 4px;
    border-radius: var(--radius-sm);
}

.pag-app .speech-bubble {
    pointer-events: none;
    animation: pag-speech-pulse 1.8s ease-in-out infinite;
}

.pag-app .speech-bubble-shape {
    fill: var(--color-card-bg);
    stroke: var(--color-accent);
    stroke-width: 1.5;
}

.pag-app .speech-bubble-text {
    font-family: var(--font-sans);
    font-size: 13px;
    font-weight: var(--weight-semibold);
    fill: var(--color-accent);
    letter-spacing: 0.04em;
}

[data-theme="dark"] .pag-app .speech-bubble-shape {
    stroke: var(--color-accent-medium);
}
[data-theme="dark"] .pag-app .speech-bubble-text {
    fill: var(--color-accent-medium);
}

@keyframes pag-speech-pulse {
    0%, 100% { opacity: 1; transform: scale(1); }
    50%      { opacity: 0.85; transform: scale(1.05); }
}

/* Fader overlay (modal-ish, sits on top of the slide stage) */
.pag-app .fader-overlay {
    position: fixed;
    inset: 0;
    background: rgba(15, 23, 42, 0.55);
    display: flex;
    align-items: center;
    justify-content: center;
    z-index: 200;
    padding: 1rem;
    animation: pag-fade-in 0.18s ease;
}

.pag-app .fader-overlay[hidden] { display: none; }

@keyframes pag-fade-in {
    from { opacity: 0; }
    to   { opacity: 1; }
}

.pag-app .fader-panel {
    background: var(--color-card-bg);
    border: 1px solid var(--color-border);
    border-radius: var(--pag-radius);
    box-shadow: 0 24px 48px rgba(0, 0, 0, 0.25);
    padding: 1.75rem 2rem 2rem;
    width: min(560px, 100%);
    position: relative;
}

.pag-app .fader-close {
    position: absolute;
    top: 0.5rem;
    right: 0.75rem;
    width: 36px;
    height: 36px;
    background: transparent;
    border: none;
    border-radius: var(--radius-sm);
    color: var(--color-text-muted);
    font-size: 24px;
    line-height: 1;
    cursor: pointer;
    transition: background-color 0.15s ease, color 0.15s ease;
}

.pag-app .fader-close:hover {
    background: var(--color-control-bg);
    color: var(--color-text);
}

.pag-app .fader-title {
    font-family: var(--font-serif);
    font-size: 1.5rem;
    font-weight: var(--weight-semibold);
    margin: 0 0 0.5rem;
}

.pag-app .fader-help {
    font-size: 0.95rem;
    color: var(--color-text-muted);
    margin: 0 0 1.5rem;
}

.pag-app .fader-stage {
    display: grid;
    grid-template-columns: 1fr auto;
    gap: 1.5rem;
    align-items: stretch;
}

.pag-app .fader-zones {
    display: flex;
    flex-direction: column;
    border-radius: var(--radius-md);
    overflow: hidden;
    border: 1px solid var(--color-border);
}

.pag-app .fader-zone {
    flex: 1;
    padding: 0.75rem 1rem;
    display: flex;
    flex-direction: column;
    justify-content: center;
    gap: 0.2rem;
    min-height: 70px;
}

.pag-app .fader-zone-feedback {
    background: color-mix(in srgb, var(--color-error) 18%, var(--color-card-bg));
    flex: 2;
}

.pag-app .fader-zone-reinforcement {
    background: color-mix(in srgb, var(--color-success) 16%, var(--color-card-bg));
    flex: 3;
}

.pag-app .fader-zone-edge {
    background: color-mix(in srgb, var(--color-warning) 14%, var(--color-card-bg));
    flex: 0 0 auto;
    min-height: 36px;
    border-top: 1px dashed color-mix(in srgb, var(--color-warning) 60%, transparent);
    border-bottom: 1px dashed color-mix(in srgb, var(--color-warning) 60%, transparent);
}

.pag-app .fader-zone-inaudible {
    background: color-mix(in srgb, var(--color-accent) 10%, var(--color-card-bg));
    flex: 2;
}

.pag-app .fader-zone-label {
    font-family: var(--font-sans);
    font-size: 1.05rem;
    font-weight: var(--weight-semibold);
    letter-spacing: 0.06em;
}

.pag-app .fader-zone-feedback .fader-zone-label { color: var(--color-error); }
.pag-app .fader-zone-reinforcement .fader-zone-label { color: var(--color-success); }
.pag-app .fader-zone-inaudible .fader-zone-label { color: var(--color-accent); }
[data-theme="dark"] .pag-app .fader-zone-inaudible .fader-zone-label { color: var(--color-accent-medium); }

.pag-app .fader-zone-sub {
    font-size: 0.75rem;
    color: var(--color-text-muted);
    line-height: 1.35;
}

.pag-app .fader-zone-sub-edge {
    color: var(--color-warning);
    font-weight: var(--weight-medium);
}

/* Vertical fader */
.pag-app .fader-track-wrap {
    display: flex;
    flex-direction: column;
    align-items: center;
    gap: 0.5rem;
    padding-right: 0.5rem;
}

.pag-app .fader-track {
    position: relative;
    width: 56px;
    flex: 1;
    min-height: 230px;
    background: var(--color-control-bg);
    border-radius: 12px;
    border: 1px solid var(--color-border);
}

.pag-app .fader-track-line {
    position: absolute;
    left: 50%;
    top: 12px;
    bottom: 12px;
    width: 2px;
    transform: translateX(-50%);
    background: color-mix(in srgb, var(--color-text-muted) 35%, transparent);
}

.pag-app .fader-knob {
    position: absolute;
    left: 50%;
    transform: translate(-50%, 50%);
    width: 48px;
    height: 28px;
    background: var(--color-text);
    border: 2px solid var(--color-card-bg);
    border-radius: 6px;
    box-shadow: 0 2px 6px rgba(0, 0, 0, 0.2);
    cursor: grab;
    touch-action: none;
    padding: 0;
}

.pag-app .fader-knob::before {
    content: '';
    position: absolute;
    left: 25%;
    right: 25%;
    top: 50%;
    height: 2px;
    background: var(--color-card-bg);
    transform: translateY(-50%);
}

.pag-app .fader-knob:active,
.pag-app .fader-knob.is-dragging {
    cursor: grabbing;
}

.pag-app .fader-knob:focus-visible {
    outline: 2px solid var(--color-accent);
    outline-offset: 3px;
}

.pag-app .fader-track-label {
    font-family: var(--font-mono);
    font-size: 0.75rem;
    color: var(--color-text-muted);
    text-align: center;
}

@media (max-width: 600px) {
    .pag-app .fader-stage {
        grid-template-columns: 1fr;
    }
    .pag-app .fader-track {
        min-height: 180px;
    }
}

/* ---------- Responsive ---------- */
@media (max-width: 720px) {
    .pag-app .stage-wrap { padding: 1.25rem 1rem 1rem; }
    .pag-app .pag-block {
        grid-template-columns: 1fr;
        gap: 0.5rem;
    }
    .pag-app .pag-meaning {
        text-align: left;
        padding-bottom: 0;
        justify-self: start;
        max-width: none;
    }
    .pag-app .formula-row { flex-direction: column; }
    .pag-app .formula { font-size: 1.08rem; }
    .pag-app .dist-grid { grid-template-columns: repeat(2, 1fr); }
    .pag-app .takeaway { padding: 2rem 1.5rem; }
    .pag-app .section-head h2 { font-size: 1.56rem; }
    .pag-app .review-panel { padding: 1.75rem 1.25rem 1.5rem; }
    .pag-app .formula.below-diagram { font-size: 1.05rem; padding: 0.55rem 0.9rem; }
    .pag-app .slide-title { font-size: 1.95rem; }
}

/* Back-link (guide page). Constrains the inline SVG icon so it doesn't
   render at the page width. */
.back-link {
    display: inline-flex;
    align-items: center;
    gap: 0.4rem;
    font-size: 0.9rem;
    color: var(--color-text-muted);
    text-decoration: none;
    margin-bottom: 1.5rem;
}
.back-link:hover {
    color: var(--color-accent);
}
.back-link svg {
    width: 16px;
    height: 16px;
    flex-shrink: 0;
}
[data-theme="dark"] .back-link:hover {
    color: var(--color-accent-medium);
}


/* =====================================================================
   Sandbox page (index.html)
   Wide single-page layout mirroring the cancelled-harmonics structure:
   a page-header with title + subtitle on the left, View Guide button on
   the right, then a single .card wrapping the controls, stage, and
   readout. Sized to fill the wide container on a 14" MacBook.
   ===================================================================== */

/* Page header (outside the .pag-app, so it shares site-wide page-header
   typography while letting us pin the guide link to the right). */
.pag-page-header {
    display: flex;
    align-items: flex-end;
    justify-content: space-between;
    gap: 2rem;
    margin-bottom: 1.25rem;
}

.pag-page-header .pag-page-header-text {
    min-width: 0;
    flex: 1;
}

.pag-page-header .page-title {
    margin-bottom: 0.35rem;
}

.pag-page-header .page-subtitle {
    max-width: none;
    margin: 0;
}

.sandbox-guide-link {
    flex-shrink: 0;
    display: inline-flex;
    align-items: center;
    gap: 0.5rem;
    padding: 0.6rem 1.1rem;
    background: var(--color-card-bg);
    border: 1px solid var(--color-border);
    border-radius: 999px;
    color: var(--color-text);
    text-decoration: none;
    font-size: 0.92rem;
    font-weight: var(--weight-medium);
    transition: border-color 0.15s ease, color 0.15s ease, background-color 0.15s ease;
}
.sandbox-guide-link:hover {
    border-color: var(--color-accent);
    color: var(--color-accent);
}
.sandbox-guide-link svg {
    width: 15px; height: 15px;
}
[data-theme="dark"] .sandbox-guide-link:hover {
    border-color: var(--color-accent-medium);
    color: var(--color-accent-medium);
}

/* ---- Sandbox card ---- */
.pag-sandbox {
    display: flex;
    flex-direction: column;
    gap: 1.25rem;
}

.pag-sandbox .sandbox-card {
    display: flex;
    flex-direction: column;
    gap: 1rem;
    padding: 1.25rem 1.5rem;
}

/* ---- Control pills ---- */
.pag-sandbox .sandbox-controls {
    display: flex;
    flex-wrap: wrap;
    gap: 1rem 2.25rem;
    align-items: center;
    padding-bottom: 0.85rem;
    border-bottom: 1px solid var(--color-border);
}

.pag-sandbox .control-group {
    display: flex;
    align-items: center;
    gap: 1rem;
}

.pag-sandbox .control-label {
    font-family: var(--font-mono);
    font-size: 0.78rem;
    font-weight: var(--weight-medium);
    letter-spacing: 0.08em;
    text-transform: uppercase;
    color: var(--color-text-muted);
}

.pag-sandbox .pill-row {
    display: inline-flex;
    background: color-mix(in srgb, var(--color-border) 35%, transparent);
    border-radius: 999px;
    padding: 4px;
    gap: 2px;
}

.pag-sandbox .pill {
    appearance: none;
    background: transparent;
    border: none;
    padding: 0.45rem 1.05rem;
    border-radius: 999px;
    font-family: var(--font-sans);
    font-size: 0.9rem;
    font-weight: var(--weight-medium);
    color: var(--color-text-muted);
    cursor: pointer;
    transition: background-color 0.15s ease, color 0.15s ease;
}
.pag-sandbox .pill:hover {
    color: var(--color-text);
}
.pag-sandbox .pill.is-active {
    background: var(--color-accent);
    color: #ffffff;
}
[data-theme="dark"] .pag-sandbox .pill.is-active {
    background: var(--color-accent-medium);
}

/* ---- Stage ---- */
.pag-sandbox .sandbox-stage-wrap {
    margin: 0;
    position: relative;
}

.pag-sandbox .sandbox-stage {
    width: 100%;
    /* Cap the stage so the readout + formula + colophon stay above the
       viewport fold on a 14" MacBook. viewBox is 900x440 (aspect ~2.05),
       so a max-height of 420px keeps it landscape and roomy without
       pushing the rest off-screen. */
    max-height: 420px;
    height: auto;
    display: block;
    background: transparent;
    border: none;
    border-radius: 0;
    box-shadow: none;
    padding: 0;
}

/* Reliable visibility toggle for SVG children (mic on-axis line, polar
   lobe, speaker coverage cone). The hidden attribute is unreliable on
   SVG in some browsers — this class always wins. */
.pag-sandbox .is-hidden { display: none !important; }

/* ---- Readout strip below the stage ---- */
.pag-sandbox .sandbox-readout {
    display: flex;
    flex-direction: column;
    gap: 0.75rem;
}

.pag-sandbox .sandbox-readout .pag-bar {
    margin: 0;
    width: 100%;
    font-size: 1.05rem;
    padding: 0.65rem 1.25rem;
}

.pag-sandbox .sandbox-formula {
    justify-content: center;
    line-height: 1.25;
    font-variation-settings: "opsz" 28;
    color: var(--color-text);
}

/* Two equation rows stacked tightly (or side-by-side on wide viewports). */
.pag-sandbox .sandbox-formula .formula-eq { font-size: 20px; }
.pag-sandbox .sandbox-formula .formula-eq.numeric { font-size: 18px; }

.pag-sandbox .sandbox-formula .formula-correction {
    color: var(--color-text-muted);
    font-style: italic;
}

/* ---- Colophon (disclaimer) sits below the card, full width ---- */
.pag-sandbox .sandbox-colophon {
    margin-top: 0;
    max-width: none;
}

/* ---- Compact under shorter viewports ---- */
@media (max-height: 900px) {
    .pag-page-header { margin-bottom: 0.85rem; }
    .pag-sandbox { gap: 0.85rem; }
    .pag-sandbox .sandbox-card { padding: 1rem 1.25rem; gap: 0.75rem; }
    .pag-sandbox .sandbox-controls { padding-bottom: 0.65rem; gap: 0.8rem 2rem; }
    .pag-sandbox .sandbox-stage { max-height: 360px; }
    .pag-sandbox .sandbox-readout { gap: 0.55rem; }
    .pag-sandbox .sandbox-readout .pag-bar { font-size: 0.98rem; padding: 0.55rem 1rem; }
    .pag-sandbox .sandbox-formula .formula-eq { font-size: 17px; }
    .pag-sandbox .sandbox-formula .formula-eq.numeric { font-size: 15px; }
}

@media (max-height: 780px) {
    .pag-page-header .page-subtitle { display: none; }
    .pag-page-header .page-title { font-size: 1.6rem; }
    .pag-sandbox .sandbox-stage { max-height: 300px; }
    .pag-sandbox .sandbox-formula .formula-eq { font-size: 15px; }
    .pag-sandbox .sandbox-formula .formula-eq.numeric { font-size: 14px; }
}