index: card for the lamp-at-½ explorer

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01FAqjv3n4yABxvJPJHFRhVA

index.html

@@ -76,6 +76,11 @@ a.card p{margin:0;color:var(--muted);font-size:12.5px}
       <p>Turn the ball about the ½–∞ strut: s − ½ ↦ e<sup>iθ</sup>(s − ½). A quarter turn is the Wick rotation (cosh onto cos), a half turn is s ↦ 1 − s, a full turn is q = −1. Three sheets: ξ (even), (s − ½)·ξ (odd, with a zero at ½), and F(u) with u = (s − ½)², turning at double speed.</p>
       <span class="go">open explorer →</span>
     </a>
+    <a class="card" href="lamp/">
+      <h2>Lamp at ½</h2>
+      <p>The ball projected from the other pole: lamp at the touch point ½, screen at ∞, u = ¼/(s − ½). Same frame, the functional equation a point reflection, the dial a plain rotation. Every zero falls into the centre — trivial along the mirror from one side, critical along the strut from both — and the critical strip becomes the outside of two kissing circles. Paint ζ, ξ, or χ = ζ(s)/ζ(1 − s), the gamma factor on its own.</p>
+      <span class="go">open explorer →</span>
+    </a>
     <a class="card" href="zeta/">
       <h2>Zeta ball</h2>
       <p>The earlier picture: ζ on a ball of diameter ½ resting at ½, turned by quaternion quarter-turns; 3b1b's grid as the ball's own latitude–longitude, bent by η.</p>