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Subject: 
Re: Getting diagonal track to line up properly?
Newsgroups: 
lugnet.trains
Date: 
Tue, 12 Nov 2002 01:47:03 GMT
Viewed: 
2887 times
  
"James Brown" <galliard@shades-of-night.com> writes:
If you're trying to keep things squared up, the two magic numbers
are 7 and 11.

which is to say, a corner that keeps straights lined up with the
normal Lego geometry can be one of 3 things:

4 curves
1 curve, 11 straights, 3 curves
2 curves, 7 straights, 2 curves

There are similar combinations for coming off of switches, but they
have the same drawback as the corners: it takes lots of space.

The 1-11-3 design isn't very close at all, according to Track
Designer.  Here's what I did: straight, curve right, 11 straights (5
switches and a straight, but that is equivalent), 3 curves right,
cross-track.  Then from the cross-track, a bunch of straights, 4 right
curves, some more straights, and another cross-track.  But it doesn't
line up...

However, when I tried the 2-7-2 design I found it to be much closer,
but still not close enough for Track Designer to consider it
connected: 2 rights, 7 straights (3 switches and a straight), 2
rights, and a cross piece, connecting back up to the beginning in the
same manner as above.

--Bill.


--
William R Ward            bill@wards.net          http://www.wards.net/~bill/
-----------------------------------------------------------------------------
        Consistency is not really a human trait.
                         --Maude (from the film "Harold & Maude")


Subject: 
Re: Getting diagonal track to line up properly?
Newsgroups: 
lugnet.trains
Date: 
Tue, 12 Nov 2002 15:40:04 GMT
Viewed: 
2886 times
  
In lugnet.trains, William R. Ward writes:
The 1-11-3 design isn't very close at all, according to Track
Designer.

What does work is 1-13-3.  It's close enough that Track Designer will
consider it a closed loop.

You can turn it into a triangle with a 5-13-7-12-4-5 pattern (starting with
curves and alternating with straights).  Then it's easy enough to see that
it forms a lesser know Pythagorean triplet, 5-12-13.  The angle formed by
short leg and the hypoteneuse is 22.62 degrees, which matches very close to
the curve track being 22.5 degrees.

John


Subject: 
Re: Getting diagonal track to line up properly?
Newsgroups: 
lugnet.trains
Date: 
Tue, 12 Nov 2002 16:14:25 GMT
Viewed: 
2880 times
  
In lugnet.trains, John Gramley writes:
The angle formed by
short leg and the hypoteneuse is 22.62 degrees, which matches very close to
the curve track being 22.5 degrees.


Oops.  That should be the long leg and the hypoteneuse.

John


Subject: 
Re: Getting diagonal track to line up properly?
Newsgroups: 
lugnet.trains
Date: 
Wed, 13 Nov 2002 20:05:23 GMT
Viewed: 
2801 times
  
In lugnet.trains, William R. Ward writes:
"James Brown" <galliard@shades-of-night.com> writes:
If you're trying to keep things squared up, the two magic numbers
are 7 and 11.

which is to say, a corner that keeps straights lined up with the
normal Lego geometry can be one of 3 things:

4 curves
1 curve, 11 straights, 3 curves
2 curves, 7 straights, 2 curves

There are similar combinations for coming off of switches, but they
have the same drawback as the corners: it takes lots of space.

The 1-11-3 design isn't very close at all, according to Track
Designer.  Here's what I did: straight, curve right, 11 straights (5
switches and a straight, but that is equivalent), 3 curves right,
cross-track.  Then from the cross-track, a bunch of straights, 4 right
curves, some more straights, and another cross-track.  But it doesn't
line up...

John is correct; it's 1-13-3 that works.  Blame my faulty memory, it's been
a bit since I played in TD.

However, when I tried the 2-7-2 design I found it to be much closer,
but still not close enough for Track Designer to consider it
connected: 2 rights, 7 straights (3 switches and a straight), 2
rights, and a cross piece, connecting back up to the beginning in the
same manner as above.

The 2-7-2 is close enough that it connects physically very soundly.  The
offset is roughly 1 stud.  Easy enough to cover with slop, with this many
track sections involved.

The dogleg number is like the large corner.  switch, 13 straights, curve
(back to parallel), then close the loop.  This will generate a
close-enough-for-TD connection (which warns you about the short-circut).

A siding can use switch-6straight-curve-curve-6straight-switch to be close
enough for slop to absorb; not quite close enough for TD.

Hope that helps, sorry about the confusion caused by my faulty memory!

thanks,

James


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