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In lugnet.announce.moc, Anthony Sava writes:
> After reading the very helpful constructive criticism I recieved, and after
> reviewing my recent village MOC, I decided to redesign it. So... I did.
Hello Antony,
That is just the sort of organic fuzzyness I had in mind when i made the
suggestion. You did it very well. On top of this, the added vegetation and
details largely contribute to the improvement as well. I'm pleased that you
took this effort, the pictures shows you realy enjoyed doing the makeover.
> I used 1x1 round plates to lift and angle the buildings. I know there is a >set mathematic to it, but since my buildings don't have a floor, I couldn't >quite take advantage of it. I simply had to pick a corner of the building >and place the 1x1 plate on it. Then I had to place the building down and >rotate it and see where I could place a second plate and a third and so >forth.
It actually is the plain old rule of Phytagoras, but with a small twist:
place a 1x1 round plate, count from this plate 4 studs horizontal and 3
studs vertical and place a 1x1 round plate again. The diagonal between the
two studs from center to center is exactly 5 studs long, which means that
you can match a 6x1 brick or plate on them (5 studs + 2x half a stud
"overshoot" for both ends of the plate/brick extending past the center of
the 1x1 round plates, makes 6 studs long) This need for adding a 1 stud
"overshoot" has a high potential for confusing people.
Here are the first four pythagorean combinations that match:
3 - 4 - 5 for brick/plate length 6
5 - 12 - 13 for brick/plate length 14
8 - 15 - 17 for brick/plate length 18
7 - 24 - 25 for brick/plate length 26
With friendly greetings, M. Moolhuysen.
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> Here are the first four pythagorean combinations that match:
>
> 3 - 4 - 5 for brick/plate length 6
> 5 - 12 - 13 for brick/plate length 14
> 8 - 15 - 17 for brick/plate length 18
> 7 - 24 - 25 for brick/plate length 26
oh you forgot my favorite!
6 - 8 - 10
and also, there is
2 - 5 - ~4.5 (use a jumper plate)
as shown here:
http://www.brickshelf.com/cgi-bin/gallery.cgi?i=300939
BTW, thanks for posting these! I always wondered about them... I did a graph at
home and extended it out to 13x13.. but the math just got too tedious after
that (i was doing everything by hand).
oops. just let everyone know i'm a total math geek.
<crawls back in hole>
-lenny
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In lugnet.castle, Leonard Hoffman writes:
> oh you forgot my favorite!
> 6 - 8 - 10
That is just a multiple of 3 - 4 - 5 (I thought it was obvious that the
given table contains the reduced ones only :-)
> and also, there is
> 2 - 5 - ~4.5 (use a jumper plate)
A typical "near miss", this one is only off by 0.0755710991019 units.
> BTW, thanks for posting these! I always wondered about them... I did a graph >at home and extended it out to 13x13.. but the math just got too tedious after
> that (i was doing everything by hand).
O.k, especially for the devotee: here is a table containing the first 1593
reduced integer Pythagorean triple solutions, and some other raw data
figures associated with the solutions as well:
http://grail.cba.csuohio.edu/~somos/rtritab.txt
> oops. just let everyone know i'm a total math geek.
Nothing to be ashamed of, particulary not in this comunity :-)
With friendly greetings, M. Moolhuysen.
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In lugnet.castle, Manfred Moolhuysen writes:
> In lugnet.announce.moc, Anthony Sava writes:
> > After reading the very helpful constructive criticism I recieved, and after
> > reviewing my recent village MOC, I decided to redesign it. So... I did.
>
> Hello Antony,
>
> That is just the sort of organic fuzzyness I had in mind when i made the
> suggestion. You did it very well. On top of this, the added vegetation and
> details largely contribute to the improvement as well. I'm pleased that you
> took this effort, the pictures shows you realy enjoyed doing the makeover.
Thanks much! And boy howdy, did I! I really hadn't put much pride into this
MOC until I redesigned it. I'm actually a little ashamed I didn't put as much
effort into it the first time.
> > I used 1x1 round plates to lift and angle the buildings. I know there is a
> set mathematic to it, but since my buildings don't have a floor, I couldn't
> quite take advantage of it. I simply had to pick a corner of the building
> and place the 1x1 plate on it. Then I had to place the building down and
> rotate it and see where I could place a second plate and a third and so >forth.
>
> It actually is the plain old rule of Phytagoras, but with a small twist:
>
> place a 1x1 round plate, count from this plate 4 studs horizontal and 3
> studs vertical and place a 1x1 round plate again. The diagonal between the
> two studs from center to center is exactly 5 studs long, which means that
> you can match a 6x1 brick or plate on them (5 studs + 2x half a stud
> "overshoot" for both ends of the plate/brick extending past the center of
> the 1x1 round plates, makes 6 studs long) This need for adding a 1 stud
> "overshoot" has a high potential for confusing people.
>
> Here are the first four pythagorean combinations that match:
>
> 3 - 4 - 5 for brick/plate length 6
> 5 - 12 - 13 for brick/plate length 14
> 8 - 15 - 17 for brick/plate length 18
> 7 - 24 - 25 for brick/plate length 26
>
> With friendly greetings, M. Moolhuysen.
Wow, thanks for this. I've already gone back and reenforced my buildings to
get them to stick better to the ground. I'd have offset more buildings had I
not run out of 1x1 round plates.
Thanks for the reply!
--Anthony
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