Kaehler bracket - Revision history

Apm at 18:13, 29 March 2026

2026-03-29T18:13:32Z

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	Wikipedia:		Wikipedia:
	* [https://en.wikipedia.org/wiki/Ted_Kaehler Ted Kaehler]		* [https://en.wikipedia.org/wiki/Ted_Kaehler Ted Kaehler]

			[[Category:Far term target]]

Apm: /* Usage cases */

2025-02-28T08:58:23Z

Usage cases

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	E.g. integrating [[strained shell structure]]s (like e.g. [[Atomically precise slide bearing\|sliding strained shell sleeve bearings]]) <br>		E.g. integrating [[strained shell structure]]s (like e.g. [[Atomically precise slide bearing\|sliding strained shell sleeve bearings]]) <br>
	into a non-strained single [[The ~~benefit~~ of nonmonolithic structures\|sort of]] single crystalline global frame while <br>		into a non-strained single [[The benefits of nonmonolithic structures\|sort of]] single crystalline global frame while <br>
	* introducing minimal stresses		* introducing minimal stresses
	* getting large cross sectional support area		* getting large cross sectional support area

Apm: /* Usage cases */ added link to Atomically precise slide bearing

2025-02-28T08:45:38Z

Usage cases: added link to Atomically precise slide bearing

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	== Usage cases ==		== Usage cases ==

	E.g. integrating [[strained shell structure]]s (like e.g. sliding sleeve bearings) <br>		E.g. integrating [[strained shell structure]]s (like e.g. [[Atomically precise slide bearing\|sliding strained shell sleeve bearings]]) <br>
	into a non-strained single [[The benefit of nonmonolithic structures\|sort of]] single crystalline global frame while <br>		into a non-strained single [[The benefit of nonmonolithic structures\|sort of]] single crystalline global frame while <br>
	* introducing minimal stresses		* introducing minimal stresses

Apm: /* Effect of size on pose apporximation accuracy (and compute effort) */

2025-02-28T08:43:48Z

Effect of size on pose apporximation accuracy (and compute effort)

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	and can much more accurately approximate desired poses in space much more accurately. <br>		and can much more accurately approximate desired poses in space much more accurately. <br>

	Eventually approximation accuracy may become lower in error amplitudes than thermal motions amplitudes or <br>		Eventually approximation accuracy may become lower in error amplitudes than thermal motions amplitudes <br>
	({{speculativity warning}} even may go down towards the scale of nuclei for really big parts). <br>		(or {{speculativity warning}} even may go down towards the scale of nuclei for really big parts). <br>
	See page: [[Quasi amorphous structure]] <br>		See page: [[Quasi amorphous structure]] <br>

Apm: /* Related */ added link to Pseudo phase diagram

2025-02-28T08:41:14Z

Related: added link to Pseudo phase diagram

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	* [[Crystolecule fragment]]		* [[Crystolecule fragment]]
	* [[Dialondeite]]		* [[Dialondeite]]
	* [[Neo-polymorph]]		* [[Neo-polymorph]] & [[Pseudo phase diagram]]
	* [[Design of crystolecules]]		* [[Design of crystolecules]]
	* Solving the associated optimization problem by employing the power of [[quantum computation\|quantum computers]].		* Solving the associated optimization problem by employing the power of [[quantum computation\|quantum computers]].

Apm: /* External links */

2025-02-28T08:39:03Z

External links

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	Wikipedia:		Wikipedia:
	* [[https://en.wikipedia.org/wiki/Ted_Kaehler Ted Kaehler]]		* [https://en.wikipedia.org/wiki/Ted_Kaehler Ted Kaehler]

Apm: major cleanup some parts factored out to new page Quasi amorphous structure

2025-02-28T08:37:58Z

major cleanup some parts factored out to new page Quasi amorphous structure

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	'''Kaehler brackets''' are (usually small) structural [[crystolecule]] elements made from [[gemstone-like compound]]s <br>		'''Kaehler brackets''' (named after Ted Kaehler see in links below) <br>
	that have as their internal structure not a nicely ordered lattice <br>		are (usually small) structural [[crystolecule]] elements made from [[gemstone-like compound]]s <br>
	but rather a glassy [[quasi amorphous structure\|amorphous like structure]] that was computer optimized <br>		that have as their internal structure not in a nicely ordered lattice <br>
	to approximate a certain ideally desired geometric alignment.		but rather in a glassy [[quasi amorphous structure\|amorphous like structure]] that was computer optimized <br>
			to approximate a certain ideally desired geometric alignment. <br>

	Kaehler brackets are mentioned in the book [[Nanosystems]].		Kaehler brackets are mentioned in the book [[Nanosystems]].

	== ~~Avoiding high internal stresses~~ and ~~strains~~ ==		== Effect of size on pose apporximation accuracy (and compute effort) ==

	~~Avoiding high~~ internal ~~tensions will usually be~~ desired ~~to:~~		Bigger Kaehler brackets have more internal volume thus vastly more arrangement options <br>
	* retain full mechanical strength		and can much more accurately approximate desired poses in space much more accurately. <br>
	* avoid fire hazard or even explosion hazard

	~~== Size and search space ==~~		Eventually approximation accuracy may become lower in error amplitudes than thermal motions amplitudes or <br>
			({{speculativity warning}} even may go down towards the scale of nuclei for really big parts). <br>
			See page: [[Quasi amorphous structure]] <br>

	~~The bigger~~ the ~~bracket~~ the ~~more accurate a desired alignement can be approximated. <br>~~		With larger size also the size of the search space grows extremely (to uber astronomical sizes). <br>
	~~The~~ search-space ~~quickly becomes hyper gigantic though~~. <br>		See page: [[Quasi amorphous structure]]
	[[~~quantum computation\|Quantum computers~~]] ~~could be used to find optimal atomic arrangements for desired geometries.~~

	== ~~Going to the extreme~~ ==		== Usage cases ==

	~~Even if thermal motions are bigger than the achieved accuracy over large scales~~ (~~macroscale~~) ~~that can average out.~~ <br>		E.g. integrating [[strained shell structure]]s (like e.g. sliding sleeve bearings) <br>
	~~Gravitational detectors e.g.~~ can ~~detect distances far below~~ the ~~diameter of an atomic core~~.		into a non-strained single [[The benefit of nonmonolithic structures\|sort of]] single crystalline global frame while <br>
			* introducing minimal stresses
			* getting large cross sectional support area

			Lower remnant stresses can …
			* … increase thermal, chemical, and mechanical stability and …
			* … reduce system internal energy that otherwise could increase flammability <br>or possibly make thing even explosive in the worst case.

	== Related ==		== Related ==

			* '''[[Quasi amorphous structure]]''', [[glassolecule]], [[quasicrystolecule]]
	* [[Crystolecule fragment]]		* [[Crystolecule fragment]]
	* [[Dialondeite]]		* [[Dialondeite]]
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	* [[Design of crystolecules]]		* [[Design of crystolecules]]
	* Solving the associated optimization problem by employing the power of [[quantum computation\|quantum computers]].		* Solving the associated optimization problem by employing the power of [[quantum computation\|quantum computers]].
	* [[~~Quasi amorphous structure~~]]
			== External links ==

			Wikipedia:
			* [[https://en.wikipedia.org/wiki/Ted_Kaehler Ted Kaehler]]

Apm: added link to yet unwritten page * Quasi amorphous structure

2025-02-28T07:21:49Z

added link to yet unwritten page * Quasi amorphous structure

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	'''Kaehler brackets''' are (usually small) structural [[crystolecule]] elements made from [[gemstone-like compound]]s <br>		'''Kaehler brackets''' are (usually small) structural [[crystolecule]] elements made from [[gemstone-like compound]]s <br>
	that have as their internal structure not a nicely ordered lattice <br>		that have as their internal structure not a nicely ordered lattice <br>
	but rather a glassy amorphous like structure that was computer optimized <br>		but rather a glassy [[quasi amorphous structure\|amorphous like structure]] that was computer optimized <br>
	to approximate a certain ideally desired geometric alignment.		to approximate a certain ideally desired geometric alignment.

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	* [[Design of crystolecules]]		* [[Design of crystolecules]]
	* Solving the associated optimization problem by employing the power of [[quantum computation\|quantum computers]].		* Solving the associated optimization problem by employing the power of [[quantum computation\|quantum computers]].
			* [[Quasi amorphous structure]]

Apm: fixed supposed typo

2025-02-28T07:20:04Z

fixed supposed typo

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	to approximate a certain ideally desired geometric alignment.		to approximate a certain ideally desired geometric alignment.

	Kaehler brackets ~~fing mention~~ in [[Nanosystems]].		Kaehler brackets are mentioned in the book [[Nanosystems]].

	== Avoiding high internal stresses and strains ==		== Avoiding high internal stresses and strains ==

Apm: /* Related / added Crystolecule fragment

2022-05-20T18:14:29Z

Related: added * Crystolecule fragment

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	== Related ==		== Related ==

			* [[Crystolecule fragment]]
	* [[Dialondeite]]		* [[Dialondeite]]
	* [[Neo-polymorph]]		* [[Neo-polymorph]]
	* [[Design of crystolecules]]		* [[Design of crystolecules]]
	* Solving the associated optimization problem by employing the power of [[quantum computation\|quantum computers]].		* Solving the associated optimization problem by employing the power of [[quantum computation\|quantum computers]].