That is not dead which can eternal lie

[SDragon]

Roughly speaking, one of the properties of Euclidian geometry is that parallel lines only intersect at infinity. On the surface of a sphere, the mathematical equivalent of a straight line is a circle that divides the sphere into hemispheres (and only a circle that does exactly that). But two circles that divide a sphere into hemispheres always intersect not once but twice (on opposite sides of the sphere), so the surface of a sphere is non-Euclidian.[/spoiler]
[spoiler=Pretentious quasi-literary Lovecraft comment]Incidentally, when Lovecraft referred to non-Euclidian space (which he usually described as "wrong angles"), he was well aware that all space is technically non-Euclidian (per Einstein's theories of relativity). However, it is not immediately obvious to human perception that space is non-Euclidian, so Lovecraft was (very effectively) using humanly-noticable non-Euclidian  properties to denote realms that are far removed from normal human experience.[/spoiler]

i checked wikipedia shortly after i posted that, and while i understand next to nothing said by either you or wikipedia, the statements seem to agree with each other. i think.

i still say a city of fractals would be incredibly unnerving.

[Epic Meepo]

What would a city of fractals look like? Would it just be a city with buildings laid out in a fractal pattern, or would it be something else entirely?

[SDragon]

What would a city of fractals look like? Would it just be a city with buildings laid out in a fractal pattern, or would it be something else entirely?

EVERYTHING would be a fractal- the floor designs, the walls, the pillars, the stairs, the streets..... every. single. thing.

[SA]

Oh dear.  I'm doing the whole visualisation thing again, and I think achieving a city like that would require extending the architecture into extradimensional space.

[SDragon]

Oh dear.  I'm doing the whole visualisation thing again, and I think achieving a city like that would require extending the architecture into extradimensional space.

the best thing is, it's all true fractals. not the approximations we see.

[Ishmayl-Retired]

Okay, so I have bought "The Best of H.P. Lovecraft - Bloodcurdling Tales of Horror and the Macabre."  I've read, "The Call of Cthulhu," "The Shadow Over Innsmouth," and "The Dunwich Horror."  How many of his stories deal with the Cthulhu mythos?

BTW, I loved Innsmouth.

[Endless_Helix]

Not all that many of them, actually. And in all honesty Lovecraft and several other authors provided the material that another guy, August Derlith, used created the Cthulu Mythos as we understand it today. He organized the whole cosmology and pretty much grabbed everything he could from Lovecraft and his corrospondents. That means that there's a lot of material.

[Captain Obvious]

What would a city of fractals look like? Would it just be a city with buildings laid out in a fractal pattern, or would it be something else entirely?

EVERYTHING would be a fractal- the floor designs, the walls, the pillars, the stairs, the streets..... every. single. thing.

OWWW! my brain!

man, i just tried to visualise that  (and i have very good spatial sense) and for any naysayers out there let me just say this.
If you actually had an idea what that "should" you would agree that it would be terifying (not to mention fascinating, confusing and awesome).

[beejazz]

A city becoming fractal with you inside. It would hurt you in ways you couldn't even imagine for all their ifinite (and in this case, physically intrusive) complexities.

OW!