To LUGNET HomepageTo LUGNET News HomepageTo LUGNET Guide Homepage
 Help on Searching
 
Post new message to lugnet.castleOpen lugnet.castle in your NNTP NewsreaderTo LUGNET News Traffic PageSign In (Members)
 Castle / 16178
Subject: 
Re: The Village of Dahyart version 2.0
Newsgroups: 
lugnet.castle
Date: 
Wed, 5 Mar 2003 21:40:39 GMT
Viewed: 
1235 times
  
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


Subject: 
Re: The Village of Dahyart version 2.0
Newsgroups: 
lugnet.castle
Date: 
Fri, 7 Mar 2003 19:32:11 GMT
Viewed: 
1218 times
  
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.


©2005 LUGNET. All rights reserved. - hosted by steinbruch.info GbR