[Info-vax] Re 3D Printers (was Re: Nice printers for OpenVMS?)

[VAXman- at SendSpamHere.ORG]

In article <jvpt5h$ddi$2 at reader1.panix.com>, JohnF <john at please.see.sig.for.email.com> writes:
>VAXman- wrote:
>> Stephen Hoffman <seaohveh at hoffmanlabs.invalid> writes:
>>> JohnF said:
>>>
>>>> Wonder if it could do a klein bottle, or other such stuff.
>>>
>>>With some of the 3D printers units available, yes.  That wouldn't even 
>>>be that difficult.   There are a half-dozen or so videos posted around 
>>>the 'net, showing printers performing this exact task.  Folks are also 
>>>printing functional sequences of wacky and very 3D-warped gears, 
>>>architectural models of buildings (where you can remove the roofing or 
>>>a wall to look inside, too), and complete models of pre-production 
>>>sneakers.
>> 
>> It can't make a "true" Klein bottle. ;)
>
>That's what I thought, based on that avillage.web.virginia.edu/rpc/FDM.pdf
>document. The prerequisite decomposition of the 3d object into 2d slices
>wouldn't seem to work right for a klein-bottle-like-shape.
>But I could (easily) be wrong.

A "true" Klein bottle (surface) can not be realized in 3 dimensions!
A true Klein "bottle" would be 1 surface and genus 0.  What has been
suggested for a Klein bottle is a single surface genus 1 form.  Part
of the bottle intersects and penetrates itself to effect the single
surface requirement but that will yield a genus 1 form.

-- 
VAXman- A Bored Certified VMS Kernel Mode Hacker    VAXman(at)TMESIS(dot)ORG

Well I speak to machines with the voice of humanity.