
Studded constructions can create half-offsets horizontally (using either “jumper plates”, Or things like the 2-hole 1x2 beams), and 1/3rd offsets vertically (plates) – what new tricks does studless have? Well, half-stud offsets are easy enough (I demonstrated another one in the “template”)… as is, actually, anything else!
Here’s where “breaking the mindset” of the studded LEGO world is sometimes difficult for me. Since an axle can be pushed through an axle hole by any amount, all sorts of offsets are allowed if you use axles to join things. For that matter, using this property of axles lets you make fairly rigid structures with any angle you want: just use axles to make adjustable elements!

The red axle sliding through the red cross-block (also called an “axle joiner perpendicular”) makes an adjustable-length element in these structures. Another handy construction in this picture is the two-tone grey piece near the top. As shown, it’s a nice rigid way to connect two parallel beams… substitute a normal cross block for the dark grey piece on the left, and you have a half-stud offset again.
Here’s another more practical example. I recently built a NXTbot where the frame ended up with a whole lot of odd angles, but I still needed some way to direct the US sensor exactly where I wanted it: forward and parallel to the ground.

The US sensor (it's visible upside down right at the bottom middle of the image), is attached to a structure the connects to the main robot only at a single friction pin (at the bend of the inverted L beam) and via a sliding linkage on the long black axle. As a result, I could position it just like I wanted - exactly parallel to the ground and facing forward, although the robot itself has no beams in this orientation.
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Brian Davis
Comments
William, a small-time inventor [who probably doesn't know what he's doing]
I can't find the specific website that detailed that information, but I'm recalling that it was somewhere on LEGO Education.
The main reason is that RCX Lego Motors are controlled by turning power on and off, versus changing the voltage as is done in the NXT Motors. Basically, the RCX doesn't know how to change power for a NXT motor.
Well, the longer answer... the NXT motors use pulse width modulation (PWM) just like the RCX motors, but (besides the six wire connector issue) the NXT motors can pull a good bit more current than the older-style gear motors.
So while you might be able to rig a custom converter cable to power NXT motors from an RCX (I don't know if the LEGO one would work... it might), the RCX doesn't have the ability to dump a high enough current into the NXT motors to get full power from them. In fact, trying to power the NXT motors under high-load conditions from an RCX would (I think) be likely to trip the thermal protection in the RCX, and shut down the outputs temporarily.
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Brian Davis