From f7d63b8ce14950b61016725cb1fbece75d304d65 Mon Sep 17 00:00:00 2001 From: teahubxyz Date: Wed, 28 Oct 2026 07:32:57 +0000 Subject: [PATCH] front page: the zeta ball card mentions the Wick turn Co-Authored-By: Claude Fable 5.1 Claude-Session: https://claude.ai/code/session_01FAqjv3n4yABxvJPJHFRhVA --- index.html | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/index.html b/index.html index 464a530..1ada2bb 100644 --- a/index.html +++ b/index.html @@ -66,7 +66,7 @@ a.card p{margin:0;color:var(--muted);font-size:12.5px}

Zeta ball · four turns

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One sphere, dragged by hand or turned by its three struts. Stand it up for the base case — 0 at the floor, ∞ at the lamp, and 0, 1, ∞, −1 a quarter turn apart, so 1 is half way to ∞ — then tip it through four stops whose shadows are the charts s/(1 − s), 2s − 1 (zeta’s orientation), 1 − 1/s (Li) and 1/(1 − 2s). The slide runs the touching point round the critical circle, and dragging the ball moves the sliders. Live ζ or ξ on the ball and on the floor, the six frame points under both names, the zeros as beads, and 3b1b’s grid as the ball’s own latitude–longitude, bent by η.

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One sphere, dragged by hand or turned by its three struts. Stand it up for the base case — 0 at the floor, ∞ at the lamp, and 0, 1, ∞, −1 a quarter turn apart, so 1 is half way to ∞ — then tip it through four stops whose shadows are the charts s/(1 − s), 2s − 1 (zeta’s orientation), 1 − 1/s (Li) and 1/(1 − 2s). The slide runs the touching point round the critical circle, and dragging the ball moves the sliders. Then the Wick turn: multiply on one side only, p ↦ eiθp, and the ball swells through the lamp into the plane (the lamp’s shadow), turns inside out, flattens into the plane projected from ½, and comes home — the four corners of the quaternion explorable, with q₁ = eiθq and q₂ = q̄ read out. Live ζ or ξ on the ball and on the floor, the six frame points under both names, the zeros as beads, and 3b1b’s grid as the ball’s own latitude–longitude, bent by η.

open explorer →