Difference between revisions of "Sandbox"

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m (→‎Test math: added === For real p orbitals ''ℓ'' = 1 ===)
 
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= Safe spaces for reprap wiki pre-writes – due to the logout time there being waaaaay to short =
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* [[RepRec pick & place robots (RepRap)]]
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== Testing image layouts ==
 
== Testing image layouts ==
 
<center>
 
<center>
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<math> \phi= \int_{-\pi}^{\pi}sin(x) dx </math>
 
<math> \phi= \int_{-\pi}^{\pi}sin(x) dx </math>
  
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* [[Useful math]]
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* [[Exotic math]]
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* [[Pages containing math]]
  
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=== For real p orbitals ''ℓ'' = 1 ===
  
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= For New Main Page =
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<math display="block">\begin{align}
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  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  \\
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  Y_{1,0} & = p_z = Y_1^0 = \sqrt{\frac{3}{4 \pi}} \cdot \frac{z}{r} = \sqrt{\frac{3}{4 \pi}} \cos( \theta) \\
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  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
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\end{align}</math>
  
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== A Myth A Concept and An Idea ==
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=== For real d orbitals ''ℓ'' = 2 ===
  
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=== Miraculous Nanobots – <span style="color:#A00000; background:#FFAFAF">A Widespread Myth<span> ===
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* For page: [[Atomic orbitals]]
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{| style="margin-left: 10px; float:right; clear:right"
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* Source: https://en.m.wikipedia.org/wiki/Table_of_spherical_harmonics#Real_spherical_harmonics
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|[[File:Prey-cover.jpg|x120px|thumb|right|book cover<br>–]]
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|[[File:the-smooze-engulfes-the-castle_my-little-pony.jpg|x120px|thumb|right|Screencap: My Little Pony: The Smooze]]
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|}
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A viral idea that spread in the public consciousness.
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<b>
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<math display="block"> \begin{align}
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Its about swarms of<br>
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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) \\
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"living" nanobots (nanobugs)<br>
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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 \\
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which spread uncontrolledly like pests.
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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)\\
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</b>
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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\\
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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)
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\end{align}</math>
  
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Hoorofable: Grey Goo<br>
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= For New Main Page =
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"the unavoidable total apocalypse"<br>
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such a thing always sells well
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=== Gem-Gum Pants-Pockets Factories – <span style="color:#009000; background:#DFDFFF">The Current Concept</span> ===
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Don't fall pray to the [[prime distractions]].
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{| style="margin-left: 10px; float:right; clear:right"
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|[[File:Nanosystems-cover.jpg|x120px|thumb|right|book cover]]
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|[[File:Nanofactory-cut-open.jpg|x120px|thumb|right|Composition of screencaps from the video: "Productive Nanosystems"]]
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|}
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A reliably predictable but
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hard to reach far term goal (since 1992)
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that is barely known.
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<b>In contrast to the mythology such a device can:
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* not "crawl away / buzz away"
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* not "devour" everything
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* not "mutate"
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</b>
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=== Molecular Assemblers – <span style="color:#A00000; background:#FFFF6F">A Dated Idea</span> ===
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{| style="margin-left: 10px; float:right; clear:right"
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|[[File:Engines_of_Creation.jpg|x120px|thumb|right|book cover]]
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|[[File:Replicating-molecular-assemblers_screencap_BBC-Horizon_Nano-utopia_1995_480p_high-contrast.jpg|x120px|thumb|right|Screencap: BBC Horizon: "Nanoutopia" (1995)]]
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|}
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An obvious bio-analogy (1986)
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from which the "Nanobug-Mythology" emerged.
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'''The idea is dated since it turned out that assemblers'''
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* '''are significantly more difficult to reach''' – (but not fundamentally impossible)
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* '''would be pretty inefficient''' – (due to missing space inside for specialization)
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* '''are not desirable''' – (because of forms of grey goo that are toned down to more realistic levels)
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{{Todo|Upload leas missing pic}}
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== Whats new on this wiki? ==
 
== Whats new on this wiki? ==
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== Where we're at and where we're headed to. ==
 
== Where we're at and where we're headed to. ==
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=== Current state ===
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{{Template:Cutting edge}}<br>
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{{wikitodo|make cutting edge info-box with: sketch of structural DNA hinge mechanism & atom placement demo}}<br>
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{{wikitodo|add infobox with structural DNA hinge left and atom placement example right – plus contxt images?}}
  
 
=== Far term target ===
 
=== Far term target ===
  
 
{{Template:Nanofactory introduction}}
 
{{Template:Nanofactory introduction}}
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{{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}}
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{{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}}
  
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=== Current state ===
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== What, Why, How, When ==
  
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{{Template:Cutting edge}}<br>
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moved to main page (removed here)
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{{todo|make cutting edge info-box with: sketch of structural DNA hinge mechanism & atom placement demo}}
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== What, Why, How, When ==
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== Pick your favorite concern ==
  
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{|style="background-color:#ccccff;" cellpadding="5"
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This does not work because of ...<br>
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|DEFINITION:
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[[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]]
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|'''[[About APM]]'''
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|'''What''' APM is not and what it is.
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|-
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|MOTIVATION:
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|[[Reasons for APM]]
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| '''Why''' we need APM.
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|-
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|APPROACH:
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|[[Pathways to advanced APM systems|Pathways to advanced APM]]
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|'''How''' we get to advanced APM.
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|-
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|PROGRESSION:
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|[[Time till advanced APM]]
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|'''When''' we will get to advanced APM?
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|}
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----
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Also there are:
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* the '''[[goals of this wiki]]''' and
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* this wiki's [[APM:About|impressum]]
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= For a new orientation page =
 
= For a new orientation page =
  
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== The big picture – Tour by map ==
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Moved to: [[Tour by map]]
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{{todo|improve formulation; match up with main chapters - replacing "template:Orientation" -- WANTED: two colum info-boxes with minithumbs and maybe circled numbers ❶ ①}}
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[[File:Possibility_space_overview_-_original_size.svg|450px|thumb|right|Main article: "[[possibility space]]"<br>'''TODO: reformat to be more vertical and reformulate''']]
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= Misc =
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* (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;
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* (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]]);
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* [[Miscellaneous]]
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* (3) target backward [[preparatory design]]
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* [[Pages with math]]
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* (4) far off target: [[Nanofactory|gem-gum factory]];
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* (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.
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[[Category:Pages with math]]
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= Refeencetests =
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[https://www.mediawiki.org/wiki/Help:Cite References explained on the mediawiki wiki.]
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Referring to the same reference with its name: <ref name="refname1"/> <br>
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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>
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See: This works in reverse too.
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= PatreonBanner Template test =
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{{PatreonBanner}}
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Embeddable button: [https://www.patreon.com/dashboard/widgets (offered here)]<br>
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<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>
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= References =
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<references/>

Latest revision as of 01:50, 9 February 2025

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.

27px   {{{title}}}
{{{content}}}
Template:DocumentationTemplate:Protected

Test math

ϕ=∫π−πsin(x)dx

For real p orbitals ℓ = 1

Y1,−1=py=i√12(Y−11+Y11)=√34π⋅yr=√34πsin(θ)sinφY1,0=pz=Y01=√34π⋅zr=√34πcos(θ)Y1,1=px=√12(Y−11−Y11)=√34π⋅xr=√34πsin(θ)cosφ

For real d orbitals ℓ = 2

Y2,−2=dxy=i√12(Y−22−Y22)=12√15π⋅xyr2=14√15πsin2θsin(2φ)Y2,−1=dyz=i√12(Y−12+Y12)=12√15π⋅y⋅zr2=14√15πsin(2θ)sinφY2,0=dz2=Y02=14√5π⋅3z2−r2r2=14√5π(3cos2θ−1)Y2,1=dxz=√12(Y−12−Y12)=12√15π⋅x⋅zr2=14√15πsin(2θ)cosφY2,2=dx2−y2=√12(Y−22+Y22)=14√15π⋅x2−y2r2=14√15πsin2θcos(2φ)

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 ...
Friction • Thermal motion • Thermal decay at room temperature (Thermodynamics) • Fat fingers • Sticky fingers • Chicken egg problem • Nature does it differently • Quantum 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: [1]
Creating a reference plus it's name: [1]
See: This works in reverse too.

PatreonBanner Template test

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>

References

  1. ↑ 1.0 1.1 Reference one with a link inside Main Page – orf.at
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