Talk:Megagon

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Mega meaning a million[edit]

I'm surprised that this article got a consensus to keep. The table in the number prefix article doesn't mention mega for a million. Georgia guy (talk) 14:22, 20 February 2012 (UTC)

That's what you said when you nominated it, but the consensus was for "keep," for several reasons. Let it go. -- 202.124.72.200 (talk) 09:58, 21 February 2012 (UTC)

Google translate says million is εκατομμύριο or english spelling ekatommýrio, which looks like 100 10,000s. I've not seen what Conway would say, but I'd guess hectomyriagon? Tom Ruen (talk) 02:27, 20 February 2015 (UTC)

Here's a question for hecatommyriagon. And [1] 1000000 hecatommyriagon or hekatommyriagon.

Anyway, no suggestion for a name change. I'm only considering if any greek based name could at least be mentioned? Tom Ruen (talk) 02:27, 20 February 2015 (UTC)

I would actually expect hecatontakismyriagon from Ancient Greek ἑκατοντάκις μύριοι (-ριαι, -ρια), attested in Archimedes. It literally also means a hundred myriad. So immediately a few others follow: {105} decakismyriagon, {107} chiliakismyriagon, and {108} myriakismyriagon. But I doubt you'll find any of these names being used anywhere. Double sharp (talk) 03:24, 20 February 2015 (UTC)

Megagon picture[edit]

We should really have a picture of an actual regular megagon. I'm aware that this is really indistiguishable from a circle, but showing a circle instead and comparing a megagon to a circle in the caption just feels wrong. I'd make a picture myself, but the Tyler applet simply refuses to handle this polygon... Double sharp (talk) 11:38, 10 March 2013 (UTC)

If we don't need a regular one, perhaps a million sided pseudo-fractal polygon will do, like this sequence? Hilbert curve or [2] How to draw squiggles like a Hilbert Tom Ruen (talk) 02:15, 20 February 2015 (UTC)

Not that OR is recommended, but I'd support a multi-radius polygon which expresses the prime factorization 1000000 = 2^6 × 5^6, for visual clarity. So really we only need 64 radial rings of 15635 azimuthal sides. But maybe we can squish in 125 local squiggles within each ring for 125 sides? Tom Ruen (talk) 02:44, 20 February 2015 (UTC)
p.s. I am remembering the SVG renderer seeming to break down when ASCII file sizes exceed maybe 8MB, and I don't think you can draw a million points with less than 8 bytes per point, like you could express x,y="123,567", but it still would probably end up too big. Yes so on a square grid, a 1000x1000 integer grid Hilbert curve might barely survive the renderer limit. Tom Ruen (talk) 02:49, 20 February 2015 (UTC)
Here's a quick test of a fake Hilbert curve, approximately 640,000 sides, near the bitmap limit of MSPaint, although crudely scaled so not actually best using the resolution at a pixel level. Tom Ruen (talk) 03:07, 20 February 2015 (UTC)
640000-gon.png
Here's a second fake hilbert curve for 1 million edges, pixel-level scaled, red 3x3 vertices, and black edges 1 pixel thick. IE11 won't display original resolution (9400x7100 pixels), but FireFox will. Tom Ruen (talk) 03:46, 20 February 2015 (UTC)
Megagon Hilbert curve.png

I agree that there has to be an actual megagon picture! — Preceding unsigned comment added by 94.59.213.108 (talk) 11:55, 20 March 2015 (UTC)