Street grid pattern
in [Math]
|
Prev: Hello, guys! I just confirmed the complete and utter detestation of an entire arm of cryptography!? Little applause, come on.... I work hard.. :)
Next: Moderated newsgroup?
From: Ron Peterson on 20 May 2010 09:43 On May 19, 10:57 am, alexy <nos...(a)asbry.net> wrote: > >Is there a non-Cartesian grid pattern for a flat community that does > >better for the worst case than the Cartesian grid pattern? > With streets laid out in equilateral triangles, the worst case is a > 75% longer (actually sqrt(3)-1) trip, but unlike the square blocks, > the potential inefficiency doesn't decrease with distance. So the > triangles are better for short trips, but worse for long ones. I found http://www.automatedtransport.com/htmlv04.html which shows a triangular diamond grid pattern in illustration 10. -- Ron
From: alexy on 20 May 2010 10:27 Les Cargill <lcargill(a)cfl.rr.com> wrote: >Mike Terry wrote: >> "Les Cargill"<lcargill(a)cfl.rr.com> wrote in message >> news:4bf449c8$0$15824$9a6e19ea(a)unlimited.newshosting.com... >>> alexy wrote: >>>> Les Cargill<lcargill(a)cfl.rr.com> wrote: >>>> >>>>> Is this because the worst-case is SQRT(2) for running the sides >>>>> of an equilateral right triangle >>>> >>>> Times, they are a-changing. They hadn't even invented equilateral >>>> right triangles when I was in eighth grade! ;-) >>> >>> Doh! Isosceles, then - 45/45/90 being the angles in units of degress. >>> >> >> You can have an equilateral right triangle on a spherical surface - I expect >> that's what you meant :-) > >Uh... yeah, yeah, that's it ":) > And after all, we are talking about a city on the earth. Then if we assume an idealized spherical shape for the earth, we (well, someone) probably can determine the size of those equilateral right triangular blocks. ;-) -- Alex -- Replace "nospam" with "mail" to reply by email. Checked infrequently.
From: Jesse F. Hughes on 20 May 2010 10:39 alexy <nospam(a)asbry.net> writes: > Les Cargill <lcargill(a)cfl.rr.com> wrote: > >>Mike Terry wrote: >>> "Les Cargill"<lcargill(a)cfl.rr.com> wrote in message >>> news:4bf449c8$0$15824$9a6e19ea(a)unlimited.newshosting.com... >>>> alexy wrote: >>>>> Les Cargill<lcargill(a)cfl.rr.com> wrote: >>>>> >>>>>> Is this because the worst-case is SQRT(2) for running the sides >>>>>> of an equilateral right triangle >>>>> >>>>> Times, they are a-changing. They hadn't even invented equilateral >>>>> right triangles when I was in eighth grade! ;-) >>>> >>>> Doh! Isosceles, then - 45/45/90 being the angles in units of degress. >>>> >>> >>> You can have an equilateral right triangle on a spherical surface - I expect >>> that's what you meant :-) >> >>Uh... yeah, yeah, that's it ":) >> > > And after all, we are talking about a city on the earth. Then if we > assume an idealized spherical shape for the earth, we (well, someone) > probably can determine the size of those equilateral right triangular > blocks. ;-) Shouldn't each such block take up 1/8 the surface area of the earth, or am I being daft? Which brings us to the great advantage of this plan: not much paving. -- "The Hammer is not force. It is absolute power. The Hammer is from Idea Space. That's the real world. Here is the magical realm. You are creatures in that realm, who do not quite understand. But it doesn't matter. There is a story to be told..." James S. Harris, poet.
From: alexy on 20 May 2010 10:50 "Jesse F. Hughes" <jesse(a)phiwumbda.org> wrote: >alexy <nospam(a)asbry.net> writes: > >> Les Cargill <lcargill(a)cfl.rr.com> wrote: >> >>>Mike Terry wrote: >>>> "Les Cargill"<lcargill(a)cfl.rr.com> wrote in message >>>> news:4bf449c8$0$15824$9a6e19ea(a)unlimited.newshosting.com... >>>>> alexy wrote: >>>>>> Les Cargill<lcargill(a)cfl.rr.com> wrote: >>>>>> >>>>>>> Is this because the worst-case is SQRT(2) for running the sides >>>>>>> of an equilateral right triangle >>>>>> >>>>>> Times, they are a-changing. They hadn't even invented equilateral >>>>>> right triangles when I was in eighth grade! ;-) >>>>> >>>>> Doh! Isosceles, then - 45/45/90 being the angles in units of degress. >>>>> >>>> >>>> You can have an equilateral right triangle on a spherical surface - I expect >>>> that's what you meant :-) >>> >>>Uh... yeah, yeah, that's it ":) >>> >> >> And after all, we are talking about a city on the earth. Then if we >> assume an idealized spherical shape for the earth, we (well, someone) >> probably can determine the size of those equilateral right triangular >> blocks. ;-) > >Shouldn't each such block take up 1/8 the surface area of the >earth, or am I being daft? Not daft at all. I just need another cup of coffee! >Which brings us to the great advantage of this plan: not much paving. -- Alex -- Replace "nospam" with "mail" to reply by email. Checked infrequently.
From: Jesse F. Hughes on 20 May 2010 11:48
alexy <nospam(a)asbry.net> writes: > "Jesse F. Hughes" <jesse(a)phiwumbda.org> wrote: > >>alexy <nospam(a)asbry.net> writes: >> >>> And after all, we are talking about a city on the earth. Then if we >>> assume an idealized spherical shape for the earth, we (well, someone) >>> probably can determine the size of those equilateral right triangular >>> blocks. ;-) >> >>Shouldn't each such block take up 1/8 the surface area of the >>earth, or am I being daft? > > Not daft at all. I just need another cup of coffee! > >>Which brings us to the great advantage of this plan: not much >>paving. There is a disadvantage to this plan I should mention. I think we'll need a few fairly long bridges. -- "I deal with reality. It's a brutal reality. But it's the only one we've got. And people like me, do what it takes. I'm part of a long line of discoverers. So I do what it takes." -- James S. Harris channels George W. Bush |