From 20d57d5ef4442bb4df17958d3847f9ca5a4843a3 Mon Sep 17 00:00:00 2001 From: teahubxyz Date: Fri, 23 Oct 2026 19:54:37 +0000 Subject: [PATCH] Lift 0 note: everything finite shrinks to the south pole --- sphere/index.html | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/sphere/index.html b/sphere/index.html index 87d042a..ff5acf9 100644 --- a/sphere/index.html +++ b/sphere/index.html @@ -135,7 +135,7 @@ function build(){ document.getElementById('note').textContent=(!showSphere?'The plane on its own: the yantra and its inversion in the outer circle. ':'')+(mode==='stereo' ?'Straight sides lift to circles through the top pole. Concurrences are kept exactly; only curvature changes.' :'Straight sides lift to great circles (central projection), the Kulaichev–Rao spherical form. Lift → 0 is the flat limit.') - +` Yantra rim at ${deg.toFixed(1)}° from the bindu pole.`+(lift===0?' At zero lift the whole yantra shrinks into the bindu at the south pole, and its inverse fills the rest of the sphere.':'')+(mode==='stereo'&&lift>1e6?' The rim has closed onto the north pole: 0 and ∞ hold the bindu and its dual.':'')+(mode!=='stereo'&&lift>20?' Great circles cap at the equator; switch to stereographic to reach the north pole.':''); + +` Yantra rim at ${deg.toFixed(1)}° from the bindu pole.`+(lift===0?' At zero lift every finite point, the yantra and its inverse alike, shrinks into the bindu at the south pole; only infinity stays north. It mirrors lift ∞.':'')+(mode==='stereo'&&lift>1e6?' The rim has closed onto the north pole: 0 and ∞ hold the bindu and its dual.':'')+(mode!=='stereo'&&lift>20?' Great circles cap at the equator; switch to stereographic to reach the north pole.':''); } function resize(){renderer.setSize(W(),H());cam.aspect=W()/H();cam.updateProjectionMatrix()} addEventListener('resize',resize);resize();build();