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Subject: 
RE: The power of Mindstorms
Newsgroups: 
lugnet.robotics
Date: 
Thu, 4 Mar 1999 20:30:59 GMT
Original-From: 
Jim Thomas <jim.thomas@trw.SPAMCAKEcom>
Viewed: 
1104 times
  
Does anyone have a url or a copy they could post?
--
Regards - Peter Hesketh, Mynyddbach, Mon.


Here is the thread which includes both the table and the URL to a very good
site on this information.

JT

-----Original Message-----
From: lugnet.robotics@lugnet.com [mailto:lugnet.robotics@lugnet.com]
Sent: Wednesday, November 11, 1998 11:52 PM
To: lego-robotics@crynwr.com
Subject: Re: some interesting lego building


This kind of info is on LEGO ON MY MIND too:
http://www.svc.fcj.hvu.nl/brok/legomind/insights
Select Triangles in menu

There you'll see some explanatory pictures/animations as well.

Eric Brok


Greg Alt wrote in message <199811112132.NAA27218@eskimo.com>...
After reading the robot builder's guide on:
http://fredm.www.media.mit.edu/people/fredm/projects/6270/

I had an idea...  There's a really cool section about building strong
structures with lego technics pieces, and they list the different
possibilities for vertical braces that fit perfectly.  The basic idea
is that a lego unit is 8 mm wide and 9.6 mm high.  Using that, you can
solve for integer solutions for vertical braces.

So, I got to thinking... perfect diagonal braces should be possible.
All you do is solve for integer solutions to the following:
x = number of horizontal lego units
y = 3 * number of vertical lego units (because you can use 1/3 pieces)
r = number of horizontaal units for the diagonal brace

(8x)^2 + (9.6/3 * y)^2 = (8r)^2
x^2 + (4/25)y^2 = r^2

The reasonable length integer solutions are:
y     x     r
10    3     5
15    8     10
20    6     10
30    5     13
40    12    20



The y values need to be divided by 3 to get lego units.
(e.g. 3.33, 5, 6.66, 10, 13.33)  Extra 1/3's just mean that you need
an extra 1/3 thick piece vertically.


Thought this might be of some interest, as I've found that it is very
easy to build something that gets ripped apart by a motor's torque or
a bump into a wall.

Greg

--
Did you check the web site first?: http://www.crynwr.com/lego-robotics



Message has 1 Reply:
  Re: The power of Mindstorms
 
Thanks to Peter and Jim for your references, I am sorry to see that my first posting was not accurate. We have studied these excellent pages on how to reinforce Lego structures at an earlier point (and the interesting Math behind it!). However, our (...) (26 years ago, 5-Mar-99, to lugnet.robotics)

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