On 16/08/12 20:58, drllau wrote:
> Moore's Law related to the density of transistors on a chip. However,
> your argument relates to the cost per printed widget is harder to
> justify. If you used say solid gold as printing substrate, the cost
> will be dominated by the material. Sure you could do things in
> parallel (multiple rep-rap) but that only improves throughput, not
> necessarily resolution or cost. Where is the exponential accelerating
> return coming from?
>
Re-reading this after writing quite a bit I see the answer is that this
is actually quite a simple misunderstanding (but I'll leave the rest of
this anyway): I'm not talking about cost per printed widget, I am
primarily talking about cost of the printer for a certain performance
metric (resolution, speed, number of materials etc.)
----------------------------------------
If you don't want to read the entire thing, a repeat of the summary at
the end is: what I am doing is categorising 3D printers as a
"successful" but currently "immature" technology and specifically the
Reprap variants as "primarily information based".
This is primarily a reworking/rewording of Ray Kurzweil's ideas that I
agree with (most people don't have a problem with his ideas, its his
extrapolations that are the problem).
First off, this is something in the tradition of "psycho-history" where
it is easier to predict what happens to a lot of people rather than a
small number because their behaviour averages out so I'll be talking
about laws and rules in the sense of observed social trends of large
groups over time so I could be wrong in a particular instance of 3D
printing that I'm actually talking about.
Something that has been observed is that adoption of a (successful)
technology follows an S-curve. This could be divided into an exponential
part at the start and a logarithmic part at the end - to give them
labels we can call the two halves "immature" and "maturing". One of the
interesting things to come out of the long term case study of the
r/evolution driven by the self-fulfilling prophecy of Moore's Law is the
idea that the broader computer industry is made up of a series of
overlapping S-curves for the adoption of various technologies used, or
"paradigms" as Ray Kurzweil calls them. As one technology tops out in
the "maturing" part of the curve there is an incentive for companies to
search for a better way of doing things. When one is found, it starts at
the "immature" part of the curve and then people jump on the bandwagon
and away it goes again.
So lets unpack the consequences of this a bit, starting with the simple
example of a open source project where the number of people using it
gives a direct correspondence to the rate of change of the project.
There are complications added by the complexities of communication
and/or the synergistic "the whole is greater than the sum of the parts"
but this just squashes or stretches a rate of change S-curve (compared
to the number of people S curve) but it is still an S curve.
We can get a similar rate of change S curve from a number of people S
curve for general technologies as well but it is a bit more indirect as
we have two kinds of people: developers and consumers. As you get more
of one you are likely to get more of the other due to the forces of
profit and competition on the supply/demand equilibrium point (its a bit
complicated and not my main point so think about it for a while).
So what does an S-curve for rate of change mean? This rate of change is
the first derivative of some other function which people want to
maximise for a "mature" or "perfect" technology. Lets make this some
single number called consumer price/performance (for zero-price projects
we treat free as constant cost and so maximise performance by itself).
Integrating or differentiating an exponential function gives another
exponential function so for the first part of the S-curve of adoption
for an "immature" technology we therefore have an exponential increase
in price/performance as well.
This answers one part of the question "Where is the exponential
accelerating return coming from?" as this is all based on a generally
observed phenomena in the adoption rate of immature but ultimately
successful technologies. There is still a bit of wiggle room as if this
doesn't happen with a particular technology then it just means it isn't
successful (there is no demand for it generally). I don't think this is
the case with 3D printing but the outstanding question is where the S
curve goes from exponential to logarithmic which is in turn related to
the maximum number of people who will every have a use for one and
reference adoption rate at a certain point in time.
The other part that I talked about in my response yesterday was
something that I've been thinking about a lot lately(in part because it
is something that Ray Kurzweil talks a lot about) is the extra
advantages you get from piggy-backing on Moore's Law when your
technology is not primarily physical but is all about data/information
processing.
This in turn can lead to a super-exponential price/performance curve
which is easiest expressed by a shortening of the price/performance
doubling time going from the past on into the future. For example "The
power of computers for the same price doubled every 3 years in around
1900, every 2 years around 1950, it was 12 months in the year 2000, it's
now down to 11 months" - Ray Kurzweil 21 June 2012
http://gf2045.com/read/181/ (you can scroll to the bottom of the page
for the 50 minute video)
The more information processing is needed in the evolution of the next
generation of your technology, the greater this extra kick will be. In
the same talk Ray Kurzweil also said "Today with a three-dimensional
printer you can print out 70% of the parts you need to build another
three-dimensional printer. And that will be a hundred percent within 10
years." I have no idea where he is getting his numbers from (common
Reprap figures are 50-60% replication) so I don't know if his timeline
means anything. What is obvious though is that if the Reprap project
reaches it goal, the continued evolution of an immature 100% printable
3D printer (being by definition only manipulation of design files) is
only going to be sped up by faster/cheaper computers and additional
tools to automate what is now done ala the board design tools Paul and
Brian have demonstrated. It doesn't take too much effort to also see
that the evolution of 70% printable printer would probably also go
faster than a 50% printable one for similar reasons.
While this is specifically about the Reprap project and the lower end of
the market, due to competition this also affects any current 3D printer
manufacturer who doesn't want to go out of business as they will have to
compete with this.
In summary, what I am doing is categorising 3D printers as a
"successful" but currently "immature" technology and specifically the
Reprap variants as "primarily information based".
In the case of the Reprap project a study in 2010 showed that the number
of people involved had been doubling every 6 months over the time since
the start of the project so if I'm right then a lot of maturing is
coming very fast.