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| 2026-01-19 23:51:13 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) (Ping timeout: 246 seconds) |
| 2026-01-19 23:50:41 +0100 | myxos | (~myxos@71-33-65-52.tcso.qwest.net) myxokephale |
| 2026-01-19 23:49:46 +0100 | euphores | (~SASL_euph@user/euphores) euphores |
| 2026-01-19 23:46:36 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) merijn |
| 2026-01-19 23:39:07 +0100 | euphores | (~SASL_euph@user/euphores) (Read error: Connection reset by peer) |
| 2026-01-19 23:38:59 +0100 | takuan | (~takuan@d8D86B9E9.access.telenet.be) (Ping timeout: 265 seconds) |
| 2026-01-19 23:37:50 +0100 | __monty__ | (~toonn@user/toonn) (Quit: leaving) |
| 2026-01-19 23:35:28 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) (Ping timeout: 246 seconds) |
| 2026-01-19 23:30:48 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) merijn |
| 2026-01-19 23:20:07 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) (Ping timeout: 264 seconds) |
| 2026-01-19 23:18:41 +0100 | jmcantrell_ | jmcantrell |
| 2026-01-19 23:17:00 +0100 | myxos | (~myxos@174-18-88-231.tcso.qwest.net) (Ping timeout: 252 seconds) |
| 2026-01-19 23:15:01 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) merijn |
| 2026-01-19 23:07:41 +0100 | jmcantrell_ | (~weechat@user/jmcantrell) jmcantrell |
| 2026-01-19 23:04:14 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) (Ping timeout: 244 seconds) |
| 2026-01-19 22:59:34 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) merijn |
| 2026-01-19 22:55:37 +0100 | debayan | (~debayan@user/debayan) (Quit: WeeChat 4.8.1) |
| 2026-01-19 22:52:54 +0100 | marinelli | (~weechat@gateway/tor-sasl/marinelli) marinelli |
| 2026-01-19 22:49:55 +0100 | debayan | (~debayan@user/debayan) debayan |
| 2026-01-19 22:49:04 +0100 | trickard_ | (~trickard@cpe-82-98-47-163.wireline.com.au) |
| 2026-01-19 22:48:29 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) (Ping timeout: 250 seconds) |
| 2026-01-19 22:46:33 +0100 | trickard | (~trickard@cpe-82-98-47-163.wireline.com.au) (Read error: Connection reset by peer) |
| 2026-01-19 22:43:49 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) merijn |
| 2026-01-19 22:36:47 +0100 | tromp | (~textual@2001:1c00:3487:1b00:6d43:de22:a68b:dec7) |
| 2026-01-19 22:35:37 +0100 | <EvanR> | yeah |
| 2026-01-19 22:34:38 +0100 | <jreicher> | ("smooth") |
| 2026-01-19 22:34:32 +0100 | <jreicher> | Not just closed, but "no corners" |
| 2026-01-19 22:32:46 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) (Ping timeout: 255 seconds) |
| 2026-01-19 22:31:00 +0100 | tromp | (~textual@2001:1c00:3487:1b00:f96f:f7c1:9b58:4be8) (Quit: My iMac has gone to sleep. ZZZzzz…) |
| 2026-01-19 22:28:02 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) merijn |
| 2026-01-19 22:25:30 +0100 | <EvanR> | then it sweeps over the entire plane |
| 2026-01-19 22:24:44 +0100 | <EvanR> | or you mean if it's one closed curve |
| 2026-01-19 22:24:32 +0100 | <EvanR> | taking the square again, it misses huge parts of the plane entirely |
| 2026-01-19 22:24:16 +0100 | <EvanR> | no, that was a botched prediction |
| 2026-01-19 22:20:31 +0100 | <jreicher> | So if the curve is an analytic function (very smooth) then you agree every point on the plane will be coloured? |
| 2026-01-19 22:19:03 +0100 | <EvanR> | at corners if there are any, stop and start again in another direction |
| 2026-01-19 22:18:45 +0100 | <jreicher> | There was a bit of ambiguity about what would happen at the corners |
| 2026-01-19 22:18:33 +0100 | <jreicher> | *now |
| 2026-01-19 22:18:29 +0100 | <jreicher> | Ah, no I get you. |
| 2026-01-19 22:18:28 +0100 | <EvanR> | 4? |
| 2026-01-19 22:18:12 +0100 | <EvanR> | e.g. taking a solid square tile as an example, the interior has 8 rays going through it at any given point |
| 2026-01-19 22:16:53 +0100 | <EvanR> | not every point |
| 2026-01-19 22:16:43 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) (Ping timeout: 246 seconds) |
| 2026-01-19 22:16:40 +0100 | <jreicher> | If you don't "step" along the curve in discrete amounts I think probie is right and that every point will have an infinite number of rays passing through. You might be able to concoct some kind of "density" measure though. incidentally this is reminiscent of https://en.wikipedia.org/wiki/Jordan_curve_theorem |
| 2026-01-19 22:14:50 +0100 | <EvanR> | jreicher, yeah |
| 2026-01-19 22:14:44 +0100 | <EvanR> | noodling it out, points might have finite rays through it, or infinite if there was a caustic focus point |
| 2026-01-19 22:12:24 +0100 | <jreicher> | BTW by "two rays" do you mean one on one side of the curve and one on the other? So the idea is one ray is "inside" the shape and the other is "outside"? |
| 2026-01-19 22:12:23 +0100 | <probie> | Or are there a finite number of points on each curve? |
| 2026-01-19 22:11:36 +0100 | <probie> | Would every ball on this plane have an infinite numbers of rays going through it? |
| 2026-01-19 22:11:30 +0100 | <jreicher> | I think it's a geometric construction |