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What, Why, How, When: added associated 3D printing projects
Adding text on a local instance of this mediawiki.
 
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= Safe spaces for reprap wiki pre-writes – due to the logout time there being waaaaay to short =
* [[RepRec pick & place robots (RepRap)]]
== Testing image layouts ==
== Testing image layouts ==
<center>
<center>
Line 32: Line 36:
<math> \phi= \int_{-\pi}^{\pi}sin(x) dx </math>
<math> \phi= \int_{-\pi}^{\pi}sin(x) dx </math>


* [[Useful math]]
* [[Exotic math]]
* [[Pages containing math]]


=== For real p orbitals ''ℓ'' = 1 ===
<math display="block">\begin{align}
  Y_{1,-1} & = p_y =  i \sqrt{\frac{1}{2}} \left( Y_1^{- 1} + Y_1^1 \right) = \sqrt{\frac{3}{4 \pi}} \cdot \frac{y}{r} = \sqrt{\frac{3}{4 \pi}} \sin( \theta) \sin \varphi  \\
  Y_{1,0} & = p_z = Y_1^0 = \sqrt{\frac{3}{4 \pi}} \cdot \frac{z}{r} = \sqrt{\frac{3}{4 \pi}} \cos( \theta) \\
  Y_{1,1} & = p_x = \sqrt{\frac{1}{2}} \left( Y_1^{- 1} - Y_1^1 \right) = \sqrt{\frac{3}{4 \pi}} \cdot \frac{x}{r} = \sqrt{\frac{3}{4 \pi}} \sin( \theta) \cos \varphi
\end{align}</math>
=== For real d orbitals ''ℓ'' = 2 ===
* For page: [[Atomic orbitals]]
* Source: https://en.m.wikipedia.org/wiki/Table_of_spherical_harmonics#Real_spherical_harmonics
<math display="block"> \begin{align}
Y_{2,-2} & = d_{xy} = i \sqrt{\frac{1}{2}} \left( Y_2^{- 2} - Y_2^2\right) = \frac{1}{2} \sqrt{\frac{15}{\pi}} \cdot \frac{x y}{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin^{2}\theta \sin(2\varphi) \\
Y_{2,-1} & = d_{yz} = i \sqrt{\frac{1}{2}} \left( Y_2^{- 1} + Y_2^1 \right) = \frac{1}{2} \sqrt{\frac{15}{\pi}} \cdot \frac{y \cdot z}{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin(2 \theta) \sin \varphi \\
Y_{2,0} & = d_{z^2} = Y_2^0 = \frac{1}{4} \sqrt{\frac{5}{\pi}} \cdot \frac{3z^2 - r^2}{r^2}  = \frac{1}{4} \sqrt{\frac{5}{\pi}} (3\cos^{2}\theta -1)\\
Y_{2,1} & = d_{xz} = \sqrt{\frac{1}{2}} \left( Y_2^{- 1} - Y_2^1 \right) = \frac{1}{2} \sqrt{\frac{15}{\pi}} \cdot \frac{x \cdot z}{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin(2 \theta) \cos \varphi\\
Y_{2,2} & = d_{x^2-y^2} = \sqrt{\frac{1}{2}} \left( Y_2^{- 2} + Y_2^2 \right) = \frac{1}{4} \sqrt{\frac{15}{\pi}} \cdot \frac{x^2 - y^2 }{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin^{2}\theta \cos(2\varphi)
\end{align}</math>


= For New Main Page =
= For New Main Page =


== A Myth A Concept and An Idea ==
Don't fall pray to the [[prime distractions]].
 
== Whats new on this wiki? ==
 
{{template:APMwiki news}}


=== Miraculous Nanobots – <span style="color:#A00000; background:#FFAFAF">A Widespread Myth<span> ===
== Where we're at and where we're headed to. ==
{| style="margin-left: 10px; float:right; clear:right"
 
|[[File:Prey-cover.jpg|x120px|thumb|right|book cover<br>–]]
=== Current state ===
|[[File:the-smooze-engulfes-the-castle_my-little-pony.jpg|x120px|thumb|right|Screencap: My Little Pony: The Smooze]]
 
|}
{{Template:Cutting edge}}<br>
A viral idea that spread in the public consciousness.
{{wikitodo|make cutting edge info-box with: sketch of structural DNA hinge mechanism & atom placement demo}}<br>
{{wikitodo|add infobox with structural DNA hinge left and atom placement example right plus contxt images?}}
 
=== Far term target ===
 
{{Template:Nanofactory introduction}}
{{wikitodo|Nanofactory introduction infobox: both images need to go - (not anymore?)! make new better sketch of nanofactory - maybe add censored products pic - ditch or improve on covergent assemby}}


<b>
== What, Why, How, When ==
Its about swarms of<br>
"living" nanobots (nanobugs)<br>
which spread uncontrolledly like pests.
</b>


Hoorofable: Grey Goo<br>
moved to main page (removed here)
"the unavoidable total apocalypse"<br>
such a thing always sells well


=== Gem-Gum Pants-Pockets Factories – <span style="color:#009000; background:#DFDFFF">The Current Concept</span> ===
== Pick your favorite concern ==
{| style="margin-left: 10px; float:right; clear:right"
|[[File:Nanosystems-cover.jpg|x120px|thumb|right|book cover]]
|[[File:Nanofactory-cut-open.jpg|x120px|thumb|right|Composition of screencaps from the video: "Productive Nanosystems"]]
|}
A reliably predictable but
hard to reach far term goal (since 1992)
that is barely known.


<b>In contrast to the mythology such a device can:
This does not work because of ...<br>
* not "crawl away / buzz away"
[[Friction]] • [[Thermal motion]] • [[Thermal decay at room temperature]] ([[Thermodynamics]]) • [[Fat finger problem|Fat fingers]] • [[Sticky finger problem|Sticky fingers]] • [[bootstrapping|Chicken egg problem]] • [[Nature does it differently]] • [[Quantum mechanics]]
* not "devour" everything
* not "mutate"
</b>
=== Molecular Assemblers – <span style="color:#A00000; background:#FFFF6F">A Dated Idea</span> ===


{| style="margin-left: 10px; float:right; clear:right"
= For a new orientation page =
|[[File:Engines_of_Creation.jpg|x120px|thumb|right|book cover]]
|[[File:Replicating-molecular-assemblers_screencap_BBC-Horizon_Nano-utopia_1995_480p_high-contrast.jpg|x120px|thumb|right|Screencap: BBC Horizon: "Nanoutopia" (1995)]]
|}


An obvious bio-analogy (1986)
Moved to: [[Tour by map]]
from which the "Nanobug-Mythology" emerged.


'''The idea is dated since it turned out that assemblers'''
= Misc =
* '''are significantly more difficult to reach''' – (but not fundamentally impossible)
* '''would be pretty inefficient''' – (due to missing space inside for specialization)
* '''are not desirable''' – (because of forms of grey goo that are toned down to more realistic levels)


{{Todo|Upload leas missing pic}}
* [[Miscellaneous]]
* [[Pages with math]]


== Whats new on this wiki? ==
[[Category:Pages with math]]


{{template:APMwiki news}}
= Refeencetests =


== Where we're at and where we're headed to. ==
[https://www.mediawiki.org/wiki/Help:Cite References explained on the mediawiki wiki.]


=== Far term target ===
Referring to the same reference with its name: <ref name="refname1"/> <br>
Creating a reference plus it's name: <ref name="refname1"> Reference one with a link inside [[Main Page]] – [https://orf.at orf.at]</ref> <br>
See: This works in reverse too.


{{Template:Nanofactory introduction}}
= PatreonBanner Template test =
{{todo|Nanofactory introduction infobox: both images need to go! make new better sketch of nanofactory - maybe add censored products pic - ditch or improve on covergent assemby}}


=== Current state ===
{{PatreonBanner}}


{{Template:Cutting edge}}<br>
Embeddable button: [https://www.patreon.com/dashboard/widgets (offered here)]<br>
{{todo|make cutting edge info-box with: sketch of structural DNA hinge mechanism & atom placement demo}}
<a href="https://www.patreon.com/bePatron?u=3816093" data-patreon-widget-type="become-patron-button">Become a Patron!</a><script async src="https://c6.patreon.com/becomePatronButton.bundle.js"></script>


== What, Why, How, When ==
= Misc tests =


{|style="background-color:#ccccff;" cellpadding="5"
Adding text on a local instance of this mediawiki.
|DEFINITION:
|'''[[About APM]]'''
|'''What''' APM is not and what it is.
|-
|MOTIVATION:
|[[Reasons for APM]]
| '''Why''' we need APM.
|-
|APPROACH:
|[[Pathways to advanced APM systems|Pathways to advanced APM]]
|'''How''' we get to advanced APM.
|-
|PROGRESSION:
|[[Time till advanced APM]]
|'''When''' we will get to advanced APM?
|}
----
Also there are:
* the '''[[goals of this wiki]]''' and
* this wiki's [[APM:About|impressum]]
* related 3D printing projects: [[The DAPMAT demo project|educational illustration of various principles]]; [[ReChain project]]; [[RepRec project]]


= For a new orientation page =
= References =


== The big picture – Tour by map ==
<references/>
{{todo|improve formulation; match up with main chapters - replacing "template:Orientation" -- WANTED: two colum info-boxes with minithumbs and maybe circled numbers ❶ ①}}
[[File:Possibility_space_overview_-_original_size.svg|450px|thumb|right|Main article: "[[possibility space]]"<br>'''TODO: reformat to be more vertical and reformulate''']]
* (1) R&D with <br>(1a) untargeted research discovering more surprising pathway entry points <br>(1b) targeted engineering marching forward on identified pathway entry points;
* (2) [[Pathways to advanced APM systems|path]], especially [[incremental path]] with three technology levels ([[Technology level I|2a]],[[Technology level II|2b]],[[Technology level III|2c]]);
* (3) target backward [[preparatory design]]
* (4) far off target: [[Nanofactory|gem-gum factory]];
* (5a) [[gemstone based metamaterial]]s, <br>(5b) [[Products of advanced atomically precise manufacturing|advanced products]] and <br>(5c) more abstract consequences ([[Opportunities|good]] and [[Dangers|bad]])  hard to quantify and blurring into speculation -- (green areas) [[Exploratory engineering]]. (dark green) known today.

Latest revision as of 23:44, 19 January 2026

Safe spaces for reprap wiki pre-writes – due to the logout time there being waaaaay to short

Testing image layouts

several images side by side – center:
the steep direct path
the long incremental path


several images side by side – on the right:
the steep direct path
the long incremental path

info-box-template snatched from Wikidata

Wanted: Better layout for main-page. => learn from Wikidata.


  {{{title}}}
{{{content}}}

Template:DocumentationTemplate:Protected

Test math

<math> \phi= \int_{-\pi}^{\pi}sin(x) dx </math>

For real p orbitals = 1

<math display="block">\begin{align}

 Y_{1,-1} & = p_y =  i \sqrt{\frac{1}{2}} \left( Y_1^{- 1} + Y_1^1 \right) = \sqrt{\frac{3}{4 \pi}} \cdot \frac{y}{r} = \sqrt{\frac{3}{4 \pi}} \sin( \theta) \sin \varphi  \\
 Y_{1,0} & = p_z = Y_1^0 = \sqrt{\frac{3}{4 \pi}} \cdot \frac{z}{r} = \sqrt{\frac{3}{4 \pi}} \cos( \theta) \\
 Y_{1,1} & = p_x = \sqrt{\frac{1}{2}} \left( Y_1^{- 1} - Y_1^1 \right) = \sqrt{\frac{3}{4 \pi}} \cdot \frac{x}{r} = \sqrt{\frac{3}{4 \pi}} \sin( \theta) \cos \varphi

\end{align}</math>

For real d orbitals = 2

<math display="block"> \begin{align} Y_{2,-2} & = d_{xy} = i \sqrt{\frac{1}{2}} \left( Y_2^{- 2} - Y_2^2\right) = \frac{1}{2} \sqrt{\frac{15}{\pi}} \cdot \frac{x y}{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin^{2}\theta \sin(2\varphi) \\ Y_{2,-1} & = d_{yz} = i \sqrt{\frac{1}{2}} \left( Y_2^{- 1} + Y_2^1 \right) = \frac{1}{2} \sqrt{\frac{15}{\pi}} \cdot \frac{y \cdot z}{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin(2 \theta) \sin \varphi \\ Y_{2,0} & = d_{z^2} = Y_2^0 = \frac{1}{4} \sqrt{\frac{5}{\pi}} \cdot \frac{3z^2 - r^2}{r^2} = \frac{1}{4} \sqrt{\frac{5}{\pi}} (3\cos^{2}\theta -1)\\ Y_{2,1} & = d_{xz} = \sqrt{\frac{1}{2}} \left( Y_2^{- 1} - Y_2^1 \right) = \frac{1}{2} \sqrt{\frac{15}{\pi}} \cdot \frac{x \cdot z}{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin(2 \theta) \cos \varphi\\ Y_{2,2} & = d_{x^2-y^2} = \sqrt{\frac{1}{2}} \left( Y_2^{- 2} + Y_2^2 \right) = \frac{1}{4} \sqrt{\frac{15}{\pi}} \cdot \frac{x^2 - y^2 }{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin^{2}\theta \cos(2\varphi) \end{align}</math>

For New Main Page

Don't fall pray to the prime distractions.

Whats new on this wiki?

Template:APMwiki news

Where we're at and where we're headed to.

Current state

Template:Cutting edge
(wiki-TODO: make cutting edge info-box with: sketch of structural DNA hinge mechanism & atom placement demo)
(wiki-TODO: add infobox with structural DNA hinge left and atom placement example right – plus contxt images?)

Far term target

A personal desktop gem-gum factory fabblet with dynamically deployed protective hood.

The personal gem gum factory is:

  • Your personal device that can push out virtually every thing* of your daily use.
    (* at least every inedible thing)

The personal gem gum factory makes:

  • Your products that are as cheap as the abundant mining-free raw materials that it processes.
  • Your products that are far superior to today's best and ridiculously expensive high tech products.
  • Your products potentially in an environmentally friendly effluent free way
    (also advanced recycling is faster than producing from scratch)
Graphical Infosheets: [1] (work in progress)

(wiki-TODO: Nanofactory introduction infobox: both images need to go - (not anymore?)! make new better sketch of nanofactory - maybe add censored products pic - ditch or improve on covergent assemby)

What, Why, How, When

moved to main page (removed here)

Pick your favorite concern

This does not work because of ...
FrictionThermal motionThermal decay at room temperature (Thermodynamics) • Fat fingersSticky fingersChicken egg problemNature does it differentlyQuantum mechanics

For a new orientation page

Moved to: Tour by map

Misc

Refeencetests

References explained on the mediawiki wiki.

Referring to the same reference with its name: <ref name="refname1"/>
Creating a reference plus it's name: <ref name="refname1"> Reference one with a link inside Main Pageorf.at</ref>
See: This works in reverse too.

PatreonBanner Template test

https://www.patreon.com/mechadense
https://www.patreon.com/mechadense

Support this wiki via Patreon. 🙏
Pages with recent activity documented on page: Logs.
For other possible ways to support see page: Support

Embeddable button: (offered here)
<a href="https://www.patreon.com/bePatron?u=3816093" data-patreon-widget-type="become-patron-button">Become a Patron!</a><script async src="https://c6.patreon.com/becomePatronButton.bundle.js"></script>

Misc tests

Adding text on a local instance of this mediawiki.

References

<references/>