From b26ea139893250963dcf7163248e36a8e327c144 Mon Sep 17 00:00:00 2001 From: teahubxyz Date: Wed, 28 Oct 2026 04:17:48 +0000 Subject: [PATCH] =?UTF-8?q?index:=20card=20for=20the=20lamp-at-=C2=BD=20ex?= =?UTF-8?q?plorer?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Co-Authored-By: Claude Fable 5.1 Claude-Session: https://claude.ai/code/session_01FAqjv3n4yABxvJPJHFRhVA --- index.html | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/index.html b/index.html index 6161900..25a6170 100644 --- a/index.html +++ b/index.html @@ -76,6 +76,11 @@ a.card p{margin:0;color:var(--muted);font-size:12.5px}

Turn the ball about the ½–∞ strut: s − ½ ↦ eiθ(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.

open explorer → + +

Lamp at ½

+

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.

+ open explorer → +

Zeta ball

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.