:User:Finell/My Sandbox

| SystematicName = Hydridohelium(1+){{Cite web

|url = https://www.ebi.ac.uk/chebi/searchId.do?chebiId=33688

|title = CHEBI:33688 - Hydridohelium(1+)

|work = Chemical Entities of Biological Interest

|location = Hinxton, Cambridgeshire, UK|publisher = European Bioinformatics Institute

|date = October 30, 2006 |access-date= April 20, 2019}}

The hydrohelium(1+) cation, HeH⁺, also known as the helium hydride ion and helium-hydride molecular ion, is a positively charged ion formed by the reaction of a proton with a helium atom in the gas state, first produced in the laboratory in 1925. It is isoelectronic with molecular hydrogen.{{cite journal |first1=T. R. |last1 = Hogness |first2=E. G. |last2 = Lunn |title = The Ionization of Hydrogen by Electron Impact as Interpreted by Positive Ray Analysis |journal = Physical Review |year = 1925 |volume = 26 |issue = 1 |pages = 44–55 |doi = 10.1103/PhysRev.26.44 |bibcode=1925PhRv...26...44H}} It is the strongest known acid, with a proton affinity of 177.8 kJ/mol.{{cite journal |doi = 10.1063/1.555719 |last1 = Lias |first1= S. G. |last2= Liebman |first2= J. F. |last3= Levin |first3=R. D. |year = 1984 |title = Evaluated Gas Phase Basicities and Proton Affinities of Molecules; Heats of Formation of Protonated Molecules|journal =Journal of Physical and Chemical Reference Data |volume = 13 |issue = 3 |pages = 695 |bibcode = 1984JPCRD..13..695L}}

Hydrohelium(1+) is the simplest heteronuclear ion , and is comparable with the hydrogen molecular ion, {{chem|H|2|+}}. Unlike {{chem|H|2|+}}, however, it has a permanent dipole moment, which makes its spectroscopic characterization easier.{{cite journal|doi = 10.1006/jmsp.1998.7740|title = Experimental Born–Oppenheimer Potential for the X₁Σ⁺ Ground State of HeH⁺: Comparison with the Ab Initio Potential|year = 1999|author = Coxon, J|journal = Journal of Molecular Spectroscopy|volume = 193|pages = 306–318|pmid = 9920707|last2 = Hajigeorgiou|first2 = PG|issue = 2|bibcode = 1999JMoSp.193..306C }} The calculated dipole moment of HeH⁺ is 2.26 or 2.84 D (D is a "Debye" or $10^\{-18\}$ statcoulomb-centimeter).{{Cite web|url=https://ned.unifenas.br/amdias/wp-admin/apostilas/hf1s.pdf|title=Dipole Moment Calculation to Small Diatomic Molecules: Implementation on a Two-Electron Self-Consistent-Field ab initio Program|last=|first=|date=|website=|access-date=}}

It had been suggested since the 1970s that HeH⁺ should occur naturally in the interstellar medium.{{cite journal |first1 = J. |last1 = Fernandez |first2=F. |last2 = Martin |title = Photoionization of the HeH⁺ molecular ion|journal = J. Phys. B: At. Mol. Opt. Phys.|date = June 2007|volume = 40|issue = 12 |pages = 2471–80 |doi = 10.1088/0953-4075/40/12/020|bibcode = 2007JPhB...40.2471F}} Its first unequivocal astrophysical detection was reported in 2019.{{Cite journal |last1 = Stutzki |first1 = Jürgen | last2 = Risacher | first2 = Christophe |last3 = Ricken |first3 = Oliver |last4 = Klein | first4 = Bernd | first5 = Karl |last5 = Jacobs |last6 = Graf |first6 = Urs U.|last7 = Menten |first7 = Karl M.|last8 = Neufeld |first8 = David |last9 = Wiesemeyer |first9 = Helmut |date=April 2019 |title = Astrophysical detection of the helium hydride ion HeH⁺

|url=https://www.nature.com/articles/s41586-019-1090-x

|journal=Nature |language=en |volume=568 |issue=7752| pages=357–359|doi=10.1038/s41586-019-1090-x|pmid = 30996316 |arxiv = 1904.09581 |bibcode = 2019Natur.568..357G |s2cid = 119548024 |issn=1476-4687}}

By the way (and I am not saying that the Cheatsheet should mention it), I have come across a few Wikipedia pages (in project space, not article space) that do use real Level 1 headings (1 equal on either side). On those pages, the Level 1 headings are the top level on the TOC.

1. The current policy is There should be a guideline for the whole encyclopedia and it should be applied consistently.
2. The only viable guidelines are:
3. If this RfC dictates a change in existing article titles, a bot can to it. That should not affect the decision of what the guideline should be.
4. A couple comments say that italic or quotation marks are needed in the text to set off titles from the text, but are not needed when the title of the article is the title of a work. However, there are some article titles that combine titles of work with other text. One examples is Euclid's Elements (could be Euclid's Elements.

Thank you for your the several careful edits you made to several articles since June 20. Wikipedia need more careful editors like yourself who are sensitive to correct writing style, formatting, and the like. Personally, a lot of my own edits to Wikipedia are copy edits and edits to conform to Wikipedia:Manual of Style, rather than contributions of new content.

Many of your edits changed correct British English spellings, date formats, etc., to their correct American English counterparts. As a matter of policy, the English language version of Wikipedia English language varieties.

Special:Contributions/121.218.85.70

• Hit single
• Hit record

• Covered
• Cover version
• Cover dab

In electrodynamics and quantum electrodynamics, in addition to the global U(1) symmetry related to the electric charge, there are also position dependent gauge transformations.{{cite journal

|last=Weyl|first=H.|authorlink=Hermann Weyl

|year=1929

|title=Elektron und Gravitation I|journal=Zeitshrift Physik|volume=56|issue=5–6|pages=330–352|doi=10.1007/BF01339504|bibcode=1929ZPhy...56..330W|s2cid=186233130}} Noether's theorem states that for every infinitesimal symmetry transformation that is local (local in the sense that the transformed value of a field at a given point only depends on the field configuration in an arbitrarily small neighborhood of that point), there is a corresponding conserved charge called the Noether charge, which is the space integral of a Noether density (assuming the integral converges and there is a Noether current satisfying the continuity equation).{{cite journal

|last=Noether|first=E.|authorlink=Emmy Noether

|year=[1918] 1971

|others=Tavel, M.A. (transl.)

|title=Invariant Variation Problems

|journal=Transport Theory and Statistical Physics

|volume=1|issue=3|pages=183–207|url=http://arxiv.org/PS_cache/physics/pdf/0503/0503066v1.pdf}} Translation of {{cite journal

|last=Noether|first=E.

|year=1918

|title=Invariante Variationsprobleme

|journal = Nachr. D. König. Gesellsch. D. Wiss. Zu Göttingen, Math-phys. Klasse|pages=235–257}}

If this is applied to the global U(1) symmetry, the result

:$Q=\backslash int\; d^3x\; \backslash rho(\backslash vec\{x\})$ (over all of space)

is the conserved charge where ρ is the charge density. As long as the surface integral

: $\backslash oint\_\{S^2\}\; \backslash vec\{J\}\backslash cdot\; d\backslash vec\{S\}$

at the boundary at spatial infinity is zero, which is satisfied if the current density J falls off sufficiently fast, the quantity QQ is the integral of the time component of the four-current J by definition. {{cite book

| author=Feynman, Richard P.

| authorlink=Richard P. Feynman

| title=The Feynman Lectures on Physics|volume=2|pages=

| publisher=Addison-Wesley|edition=2nd|year=2005|isbn=978-0805390650}}{{Page needed|date=February 2010}} is conserved. This is nothing other than the familiar electric charge.{{cite journal

| last1=Karatas|first=D.|last2=Kowalski|first2=K.

| title=Noether's Theorem for Local Gauge Transformations

| journal=American Journal of Physics

| date=February 1990|year=1990|volume=58|issue=2|pages=123–131|doi=10.1119/1.16219|bibcode=1990AmJPh..58..123K}}{{cite journal

| last1=Buchholz|first1=D.|last2=Doplicher|first2=S.|last3=Longo|first3=R.

| title=On Noether's Theorem in Quantum Field Theory

| journal=Annals of Physics|volume=170|issue = 1|pages=1–17|year=1986|date=August 1986

| doi=10.1016/0003-4916(86)90086-2|bibcode=1986AnPhy.170....1B}}

But what if there is a position-dependent (but not time-dependent) infinitesimal gauge transformation $\backslash delta\; \backslash psi(\backslash vec\{x\})=iq\backslash alpha(\backslash vec\{x\})\backslash psi(\backslash vec\{x\})$ where α is some function of position?

The Noether charge is now

: $\backslash int\; d^3x\; \backslash left[\backslash alpha(\backslash vec\{x\})\backslash rho(\backslash vec\{x\})+\backslash epsilon\_0\; \backslash vec\{E\}(\backslash vec\{x\})\backslash cdot\; \backslash nabla\backslash alpha(\backslash vec\{x\})\backslash right]$

where $\backslash vec\{E\}$ is the electric field.

Using integration by parts,

:$\backslash oint\_\{S^2\}\; \backslash alpha\; \backslash vec\{E\}\backslash cdot\; d\backslash vec\{S\}\; +\; \backslash int\; d^3x\; \backslash alpha\backslash left[\backslash rho-\backslash epsilon\_0\; \backslash nabla\backslash cdot\; \backslash vec\{E\}\backslash right]$

This assumes that the state in question approaches the vacuum asymptotically at spatial infinity. The first integral is the surface integral at spatial infinity and the second integral is zero by the Gauss law. Also assume that α(r,θ,φ) approaches α(θ,φ) as r approaches infinity (in polar coordinates). Then, the Noether charge only depends upon the value of α at spatial infinity but not upon the value of α at finite values. This is consistent with the idea that symmetry transformations not affecting the boundaries are gauge symmetries whereas those that do are global symmetries. If α(θ,φ)=1 all over the S², we get the electric charge. But for other functions, we also get conserved charges (which are not so well known).

This conclusion holds both in classical electrodynamics as well as in quantum electrodynamics. If α is taken as the spherical harmonics, conserved scalar charges (the electric charge) are seen as well as conserved vector charges and conserved tensor charges. This is not a violation of the Coleman-Mandula theorem as there is no mass gap.{{cite journal

|last1=Coleman|first1=S.|last2=Mandula|first2=J.

|title=All Possible Symmetries of the S Matrix

|journal=Physical Review|year=1967

|volume=159|issue=5|pages=1251–1256|doi=10.1103/PhysRev.159.1251|bibcode=1967PhRv..159.1251C}} In particular, for each direction (a fixed θ and φ), the quantity

:$\backslash lim\_\{r\backslash rightarrow\; \backslash infty\}\backslash epsilon\_0\; r^2\; E\_r(r,\backslash theta,\backslash phi)$

is a c-number and a conserved quantity. Using the result that states with different charges exist in different superselection sectors,{{cite web

|last=Giulini|first=D.

|title=Superselection Rules

|work=[http://philsci-archive.pitt.edu/ PhilSci Archive]

|year=2007

|url=http://philsci-archive.pitt.edu/archive/00003585/01/SSR-QMC-NetVersion.pdf}} the conclusion that states with the same electric charge but different values for the directional charges lie in different superselection sectors.

Even though this result is expressed in terms of a particular spherical coordinates with a given origin, translations changing the origin do not affect spatial infinity.

Jimbo blocked Bishonen for 3 hours on May 22. Bishonen's last two salvos were on July 3, on this talk page.[http://en.wikipedia.org/w/index.php?title=User_talk:Jimbo_Wales&diff=299996366&oldid=299992470][http://en.wikipedia.org/w/index.php?title=User_talk:Jimbo_Wales&diff=300102140&oldid=300055716]

That is 6 weeks. If Bishonen had simply endured her 3-hour block and then returned to business as usual, this issue would have ended on May 22. It is Bishonen who created this controversy and kept alive. Since her block expired, almost all of of Bishonen's "contributions" to Wikipedia have been her arguing, arguing, and arguing about Jimbo's 3-hour block. Throughout, Bishonen very skillfully shifted the issue from her personal attack of Daedalus969 (who deserved a reprimand, but not to be cursed at and then then repeatedly baited) to whether Jimbo's 3-hour block conformed to the letter of the blocking policy—she framed the issue as a misuse of the block to punish her—and rallied other admins and friends to join her campaign against Jimbo.

I don't know if Jimbo looked at Bishonen's prior edit history before he blocked her, but she also lost it a week earlier. Bishonen was supporting an RfA (the candidate was previously de-sysoped; the RfA failed) and got into an argument with someone who opposed it. Again, in addition to cursing at the other editor, she expressed anger that the other editor disregarded Bishonen's "advice" to stop arguing against the RfA. The discussion on Bishonen's talk page, which Bishonen later deleted, shows her uncivil conduct and contemptuous attitude toward another editor who crossed her[http://en.wikipedia.org/w/index.php?title=User_talk:Bishonen&oldid=290267897#Correction.3F] (indents omitted):

[http://en.wikipedia.org/w/index.php?title=Wikipedia%3ARequests_for_adminship%2FEveryking_5&diff=289542232&oldid=289541929 You mean] supporters, no? And the talk page only shows the level of hate that Everyking will put forth, so I doubt it really supports your argument in any kind of regard. Thankfully, Crats don't do what Everyking would do (merely count votes) so your argument definitely wont hold up. Ottava Rima (talk) 21:46, 12 May 2009 (UTC)

It definitely won't, will it? That's interesting. Are you suffering from some kind of hysteria, to be addressing me like that after I advise you to not—not—keep blathering against the opposers [sic: should be "supporters"]? Or are you trying to avoid the childishness of immediately doing what I asked you not to do, by posting on my page instead of on the RFA? Or, Machiavellian thought, are you deliberately making yourself look absurd in order to make Everyking look the better? Are you secretly on his side? Whichever it is, and, believe me, I don't really want to know, piss off my page and stay off. Bishonen | talk 00:17, 13 May 2009 (UTC).

Hrmph. A crude edit summary ["Har har. Piss off."] is fine in small doses. Use one too much and you ruin its mystique. --MZMcBride (talk) 02:10, 13 May 2009 (UTC)

The mystique is perhaps not necessary, MZMcBride. Got any suggestions? What do you think of "Fuck off"? Bishonen | talk 20:18, 13 May 2009 (UTC).

Bishonen's abusive behaviour toward editors, her continuing argument that Jimbo's 3-hour block of her was unjustified, and, most distressing, other admins' supporting Bishonen throughout her campaign, are germane to the community poll on the adequacy of Wikipeida's civility policy, the adequacy of the policy's enforcement, and particularly whether selective enforcement unfairly favors admins. Suppressing discussion of these issues of legitimate community concern is damaging to the already frayed morale of many active editors, and also ineffective. If there is concern that the poll questions should have been phrased more neutrally, that can be fixed (provided the facts are stated accurately). But the questions and the discussion should be restored to the poll. In fact, the civility policy poll is probably the least confrontational forum for discussing the matter. But if community discussion continues to be suppressed there, it will arise elsewhere. That is what happens when debate is suppressed, and why suppression is counterproductive. Finell (Talk) 07:05, 7 July 2009 (UTC)

Dear Risker: I very respectfully disagree with your removal of a large segment of the discussion, to which many Wikipedians contributed, and disagree even more with your reasoning. First, this is not a case of an admin who wants to put the matter behind her after serving her 3-hour block. To the contrary, she has kept stirring and re-stirring this issue constantly on her talk page, on a special sub-page, and on Jimbo's talk page (Jimbo quickly deleted most of her and others' posts there so the discussion would occur on Bishonen's special talk sub-page). On July 3, 6 weeks after her 3-hour block expired, she posts on Jimbo's talk page: Her discussion with Jimbo on her talk sub-page about the block is over, but the subject should be returned to Jimbo's talk page so that others who have expressed themselves on Jimbo's 3-hour block (i.e., her supporters) can "have a fuller discussion" of the subject.[http://en.wikipedia.org/w/index.php?title=User_talk:Jimbo_Wales&diff=299996366&oldid=299992470] So they have been carrying on her battle back on Jimbo's talk page.

::Second, as other remaining sections of the discussion on the poll page shows, there is a widespread perception that admins and other, favored, "experienced" editors get away with incivility, while sanctions are more liberally imposed on "ordinary" Wikipedians. The Bishonen incident—her flagrant misconduct, the mild sanction of a 3-hour block, and the expressed outrage of Bishonen and several supporters over the 3-hour block—are Exhibit A in support of that perception. If an "ordinary" editor had called another editor a "little shit", even without Bishonen's additional misconduct, no one would be upset or surprised by a 3-day block or worse. No one would be questioning whether the block was preventative (OK), punitive (not OK), or exemplary (not OK)In my opinion, the Bishonen incident, which is widely known and widely discussed, is one of the main reasons behind this re-examination of the civility policy and its enforcement (as well as a few other policy proposals). That is why the topic is relevant to the discussion. Further, your deletion of this topic, wiping out the thoughtful (and perhaps some less thoughtful)

:*With all due respect to Arbitrator Risker, in the long run her deleting that entire item from the poll, after the item had drawn very extensive commentary about a subject that is of concern to the community—wiping out 20–30 editors' good faith comments on all sides of the issue, including Jimbo's—is causing more, rather than less drama about the matter. And that drama is further exacerbated by another admin closing the Talk page discussion of Risker's action: Wikipedia talk:Civility/Poll#Risker's removal of discussion. Silencing community members who express themselves on important policies and their application breeds resentment, not trust and collegiality.

As other remaining sections of the discussion on the poll page shows, there is a widespread perception that admins and other, favored, "experienced" editors get away with incivility, while sanctions are more liberally imposed on "ordinary" Wikipedians. Personally, I believe this perception is exaggerated, but not entirely baseless. However, the whole Bishonen incident—her flagrant misconduct, the mild sanction of a 3-hour block, and the expressed outrage of Bishonen and several supporters over the 3-hour block—are Exhibit A in support of that perception. If an "ordinary" editor had called another editor a "little shit"—even without Bishonen's additional misconduct, subsequent unrepentant attitude, and 6 weeks of whining and campaigning against Jimbo—no one would be upset or surprised by a 3-day block or worse. No one would be questioning whether the block was preventative (OK), punitive (not OK), or exemplary (not OK). And if Jimbo himself blocked the plebeian-editor, without warning, no one would be clamoring to remove his "block button" or other nonsense.

In my opinion, the entire Bishonen incident, which is widely known and widely discussed, is one of the main reasons behind this re-examination of the civility policy and its enforcement (as well as a few other policy proposals). That is why the topic is relevant to the discussion. It was not primarily an ad hominem attack on Bishonen, as those who want to sweep it all under the rug maintain. And it feeds the perception that there is a double standard, and that the admins watch each others' back. As I say, I believe the perception is overstated. But the way admins rallied to Bishonen's defense, and attacked Jimbo for a 3-hour block, is one instance where the facts matched the perception. Finell (Talk) 04:42, 7 July 2009 (UTC)

[http://en.wikipedia.org/w/index.php?title=User_talk:CallMeNow&direction=next&oldid=310469607]

She also blew off Wikipedian who asked for list of her accounts.

I strongly oppose the proposal to change the layout of the lead in Joseph Priestley.

In my opinion, the question in the RfC is misstated. The real question is: What is the best layout for this article? Comparing the two lead layouts above, the one with the left-aligned portrait is much more attractive than the alternative.

For those who believe that, as a matter of interpretation, the MOS statement about beginning an article with a right-aligned infobox or image trumps the recommendation about how portraits should be aligned, the answer is that it is permissible to depart from the MOS, which is a guideline, when there is good reason to do so—and in this case aesthetics strongly favor left-aligning the Priestley portrait. For those who believe that the MOS does not prescribe the alignment because these two MOS guidelines are in conflict, aesthetics provides the basis for resolving the conflict. This is not a matter of WP:IAR; that is a straw man, or red herring.

But wikilawyering over MOS interpretation is really beside the point in this case. For people with some background in art or design, right-aligning this Priestley portrait looks awful. To me, it is a bit like the sound of fingernails scratching a chalk board. (The lead of the George Armstrong Custer, cited as an example above, looks even worse, in my opinion). To many other individuals, alignment toward or away from the center makes no difference. Almost no-one believes that facing away from the center looks better than the alternative. Madcoverboy never said that right-aligning this portrait looks better or contributes to the article; his sole point is based on a narrow and rigidity reading of the MOS. Likewise, the argument is not merely that there is is a very long standing consensus in favor of the present layout, but that the supporters of the consensus do so for a reason.

The MOS's guideline about aligning portraits grows from a basic proposition about composing figures (people) in drawing and painting. Normal composition is for figures (people) to be generally oriented toward the compositional center of the work; the closer one gets to the edge of a painting, the more jarring (worse) it is for a figure to face the nearest edge. When a major figure in a painting is near the edge of the composition and is facing away, it is usually to signify that the person is alienated from the other people or to create a feeling of tension and unease. In photography, one is instructed not compose a shot so that people look like they "are running out of the frame"—unless the intention is to show that they are running away from the scene. This same principle carries into page composition in books and periodicals: were figures and text are combined, with the principle that if a picture of a person is aligned at one edge of the page or the other, the person should be facing toward the center rather than away; if the image is centered, it does not generally matter which way the figure faces, although the layout of other figures on the same page may affect this.

In this particular image, Priestley's body (a line through his shoulders) faces about about 60 degrees toward to the right of the composition (his left), his head or face (a line through his ears) is about 45 degrees right, and his eyes look straight forward. These angles, whichever way they face, make for a harmonious, graduated portrait. Priestley's black coat emphasizes, or strengthens, the body angle. This composition calls for left, or center, alignment.

Historically, the MOS-sticklers at the FA review promoted the article, although a couple of them questioned the left-alignment. However, the majority of the FA reviewers voted for FA without even commenting on the left-alignment, and the few who raised the question seemed satisfied by the reasons given for it. The discussion has followed the same path to the same conclusion on this talk page both before and after the FA promotion, and the consensus has thus far always favored the present alignment.

Elements.Euclid, Elements, Book 6, Definition 3

Livio..{{cite book|last=Livio|first=Mario|year=2002|title=The Golden Ratio: The Story of Phi, The World's Most Astonishing Number|publisher=Broadway Books|location=New York|isbn=0-7679-0815-5 | pages = p. 6}}

{{Rouse History of Mathematics}}

http://www.1911encyclopedia.org/Dodecahedron:

DODECAHEDRON (Gr. SccSerca, twelve, and Spa, a face or base), in geometry, a solid enclosed by twelve plane faces. The "ordinary dodecahedron" is one of the Platonic solids (see Polyhedron). The Greeks discovered that if a line be divided in extreme and mean proportion, then the whole line and the greater segment are the lengths of the edge of a cube and dodecahedron inscriptible in the same sphere. The "small stellated dodecahedron," the "great dodecahedron" and the "great stellated dodecahedron" are Kepler-Poinsot solids; and the "truncated" and "snub dodecahedra" are Archimedean solids (see Polyhedron). In crystallography, the regular or ordinary dodecahedron is an impossible form since the faces cut the axes in irrational ratios; the "pentagonal dodecahedron" of crystallographers has irregular pentagons for faces, while the geometrical solid, on the other hand, has regular ones. The "rhombic dodecahedron," one of the geometrical semiregular solids, is an important crystal form. Many other dodecahedra exist as crystal forms, for which see Crystallography.

This section would benefit from more references, preferably from books on art and design rather than books on the golden ratio, many of which have a promoting or debunking POV.

{{cite book

| last = Paulos

| first = John Allen

| authorlink = John Allen Paulos

| title = Beyond Numeracy

| year = 1991

| publisher = Alfred A. Knopf

| location = New York

| pages = 98–101

| isbn = 0-394-58640-9

| quote =

}}

"Not surprisingly, the Parthenon in Athens can be framed by a golden rectangle, as can many of the smaller areas within it. Much other Greek art made use of the proportions of the golden rectangle, as have subsequent works from da Vinci to Mondrian and Le Corbusier." p. 99

"The golden rectangle and the static harmony it exemplifies is typical of classic Greek geometry ...." p. 101

----

{{cite book

| last = Devlin

| first = Keith

| authorlink = Keith Devlin

| title = Mathematics: The Science of Patterns

| year = 1994

| publisher = Scientific American Library

| location = New York

| pages =

| isbn = 0-7167-5047-3

| quote =

}}

"Mathematical patterns sometimes reflect visual patterns that the human eye finds particularly aesthetic. One famous example of such mathematical pattern is the golden ratio. p. 108

"According to the Greeks, the golden ratio is the ideal proportion for the sides of a rectangle that the eye finds most pleasing. The rectangular face of the front of the Parthenon has sides whose ratio is in this proportion, and it may be observed elsewhere in Greek architecture." p. 108

Penrose discovered his tiling in 1974. p. 167 Dimensions are ratios of 1/φ, 1, and φ. pp. 167–69. Penrose tiling has local 5-fold symmetry, but the infinate tiling of the plane does not. p. 169.

Quasicrystal alloy Al_5.1Li₃Cu has 5-fold symmetry in the 5 rhombic facesthat meet at a single point, forming a starlike shape. Likewise, quasicrystal material Al₆₅Co₂₀Cu₁₅ has local 5-fold symmetry. p. 169.

----

{{cite book

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Excellent bibliography here: http://www.research.att.com/~njas/sequences/A001622

{{cite book

| last = Euclid

| title = Elements

| origyear = c. 300 BC

| url = http://aleph0.clarku.edu/~djoyce/java/elements/toc.html

| accessdate = 2006-08-30

| date = David E. Joyce, ed. 1997

}} Citations in the text are to this online edition.

{{cite book

| last = Hemenway

| first = Priya

| title = Divine Proportion: Phi In Art, Nature, and Science

| year = 2005

| publisher = Sterling

| location = New York

| pages = | isbn = 1-4027-3522-7

}}

{{cite book

| last = Heath

| first = Thomas L.

| authorlink = T. L. Heath

| editor =

| title = The Thirteen Books of Euclid's Elements

| origyear =

| url =

| format = 3 vols.

| accessdate =

| edition = 2nd ed. [Facsimile. Originally published: Cambridge University Press, 1925]

| year = 1956

| publisher = Dover Publications

| location = New York

| language =

| id = (v. 1), (v. 2), (v. 3)

| doi =

| pages =

| chapter =

| isbn = 0-486-60088-2

| chapter-url =

| quote =

}}

{{cite book

| last = Heath

| first = Thomas L.

| authorlink = T. L. Heath

| editor =

| title = A History of Greek Mathematics

| origyear =

| url =

| format = 2 vols.

| accessdate =

| edition = [Reprint. Originally published: Oxford: Clarendon Press, 1921]

| year = 1981

| publisher = Dover Publications

| location = New York

| language =

| id = (v. 1), (v. 2)

| doi =

| pages =

| chapter =

| isbn = 0-486-24073-8

| chapter-url =

| quote =

}}

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| chapter-url =

| quote =

}}

{{cite book

| last =

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}}

;To order from library:

{{cite book

| last = Cook

| first = Theodore Andrea

| authorlink =

| title = The Curves of Life

| origyear = 1914

| url =

| year = 1979| publisher = Dover Publications

| location = New York

| isbn = 0-48623-701-X

}}

{{cite book

| last = Heath

| first = Thomas L.

| authorlink = T. L. Heath

| editor =

| title = A History of Greek Mathematics

| origyear =

| url =

| format = 2 vols.

| accessdate =

| edition = [Reprint. Originally published: Oxford: Clarendon Press, 1921]

| year = 1981

| publisher = Dover Publications

| location = New York

| language =

| id = (v. 1), (v. 2)

| doi =

| pages =

| chapter =

| isbn = 0-486-24073-8

| chapter-url =

| quote =

}}

PADOVAN, RICHARD. 1999. Padovan: Proportion, Science, Philosophy, Architecture.

London: E & F Spon; USA and Canada: Routledge.

HAMBIDGE, JAY. 1926. The Elements of Dynamic Symmetry. Rpt. 1953, New York:

Dover.

{{cite journal

| last =

| first =

| authorlink =

| date =

| year =

| title =

| journal =

| volume =

| issue =

| pages =

| doi =

| id =

| url =

| format =

| accessdate =

}}

{{cite book

| last = Cook

| first = Theodore Andrea

| authorlink =

| title = The Curves of Life

| origyear = 1914

| url =

| year = 1979

| publisher = Dover Publications

| location = New York

| isbn = 0-48623-701-X

}}

Pearl Drums positions the air vents on its Masters Premium models based on the golden ratio. The company claims that this arrangement improves bass response and has applied for a patent on this design.

{{cite web

| url = http://www.pearldrum.com/premium-birch.asp

| title = Pearl Masters Premium

| accessdate =December 2, 2007

| publisher = Pearl Corporation

| archiveurl =

| archivedate =

}}

• {{cite book

| last = Doczi

| first = György

| authorlink =

| title = The Power of Limits: Proportional Harmonies in Nature, Art, and Architecture

| origyear = 1981

| year = 2005

| publisher = Shambhala Publications

| location = Boston

| isbn = 1-590-30259-1

}}

• {{cite book

| last = Euclid

| title = Elements

| origyear = c. 300 BC

| url = http://aleph0.clarku.edu/~djoyce/java/elements/toc.html

| accessdate = 2006-08-30

| date = David E. Joyce, ed. 1997

}} Citations in the text are to this online edition.

• {{cite book

| last = Ghyka

| first = Matila

| authorlink =

| title = The Geometry of Art and Life

| origyear = 1946

| edition = reprint of 1946 ed., slightly corrected

| year = 1977

| publisher = Dover Publications

| location = New York

| isbn = 0-486-23542-4

}}

• {{cite book

| last = Huntley

| first = H. E.

| authorlink =

| title = The Divine Proportion: A Study in Mathematical Proportion

| url =

| year = 1970

| publisher = Dover Publications

| location = New York

| isbn = 0-486-22254-3

}}

• {{cite book

| last = Joseph

| first = George G.

| authorlink =

| title = The Crest of the Peacock: The Non-European Roots of Mathematics

| origyear = 1991

| url =

| edition = New

| year = 2000

| publisher = Princeton University Press

| location = Princeton, NJ

| isbn = 0-691-00659-8

}}

• {{cite web

| last = Plato

| authorlink = Plato

| date = 360 BC) (Benjamin Jowett trans.

| url = http://classics.mit.edu/Plato/timaeus.html

| title = Timaeus

| publisher = The Internet Classics Archive

| accessdate = May 30, 2006

}}

• {{cite book

| last = Schneider

| first = Michael S.

| authorlink =

| title = A Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science

| url =

| year = 1994

| publisher = HarperCollins

| location = New York

| isbn = 0-060-16939-7

}}

• {{cite book

| last = Walser

| first = Hans

| authorlink =

| others = Peter Hilton trans.

| title = The Golden Section

| origyear = Der Goldene Schnitt 1993

| url =

| year = 2001

| publisher = The Mathematical Association of America

| location = Washington, DC

| isbn = 0-88385-534-8

}}

• {{cite journal

| quote = yes

| last = Markowsky

| first = George

| authorlink =

| year = 1992

| month = Jan.

| title = Misconceptions about the Golden Ratio

| journal = College Mathematics Journal

| volume = 23

| issue = 1

| pages = 2–19

| doi = 10.1080/07468342.1992.11973428

| id =

| url = http://www.umcs.maine.edu/~markov/GoldenRatio.pdf

| accessdate =

}}

Mathematician and historian W. W. Rouse Ball remarked that despite the criticisms, "the fact that for two thousand years it was the usual text-book on the subject raises a strong presumption that it is not unsuitable for that purpose." {{cite book | last = Ball | first = W.W. Rouse | authorlink = W. W. Rouse Ball | title = A Short Account of the History of Mathematics | edition = 4th ed. [Reprint. Original publication: London: Macmillan & Co., 1908] | year = 1960 | publisher = Dover Publications | location = New York | pages = 50–62| isbn = 0-486-20630-0 }}

{{cite book

| last = Euclid

| title = Elements

| origyear = c. 300 BC

| url = http://aleph0.clarku.edu/~djoyce/java/elements/toc.html

| accessdate = 2006-08-30

| date = David E. Joyce, ed. 1997

}} Citations in the text are to this online edition.

{{cite book

| last = Heath

| first = Thomas L.

| authorlink = T. L. Heath

| title = The Thirteen Books of Euclid's Elements

| origyear =

| url =

| format = 3 vols.

| accessdate =

| edition = 2nd ed. [Facsimile. Original publication: Cambridge University Press, 1925]

| year = 1956

| publisher = Dover Publications

| location = New York

| language =

| id = (vol. 1), (vol. 2), (vol. 3)

| doi =

| pages =

| chapter =

| isbn = 0-486-60088-2

| chapter-url =

| quote =

}} Heath's translation of the text plus extensive historical research and detailed commentary throughout the text.

{{cite book

| last = Heath

| first = Thomas L.

| authorlink = T. L. Heath

| editor =

| title = A History of Greek Mathematics

| origyear =

| url =

| format = 2 vols.

| accessdate =

| edition = [Reprint. Original publication: Oxford: Clarendon Press, 1921]

| year = 1981

| publisher = Dover Publications

| location = New York

| language =

| id = (vol. 1), (vol. 2)

| doi =

| pages =

| chapter =

| isbn = 0-486-24073-8

| chapter-url =

| quote =

}}

{{cite book

| last = Ball

| first = W.W. Rouse

| authorlink = W. W. Rouse Ball

| title = A Short Account of the History of Mathematics

| origyear =

| url =

| edition = 4th ed. [Reprint. Original publication: London: Macmillan & Co., 1908]

| year = 1960

| publisher = Dover Publications

| location = New York

| doi =

| pages = 50–62

| isbn = 0-486-20630-0

| quote =

}}

{{cite book

| last =

| first =

| authorlink =

| editor =

| title =

| origyear =

| url =

| format =

| accessdate =

| edition =

| date =

| year =

| publisher =

| location =

| language =

| id =

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}}

{{cite book

| last =

| first =

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| title =

| origyear =

| url =

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}}

;Notes:

{{cite book | last = Cook| first = Theodore Andrea| authorlink = | editor = | title = The Curves of Life| origyear = | url = | format = | accessdate = | edition = |date=1979| publisher = Dover Publications| location = New York| language = | doi = | pages = 420| chapter = | isbn = 0-48623-701-X| chapter-url = | quote = }}

{{cite book | last = | first = | authorlink = | editor = | title = | origyear = | url = | format = | accessdate = | edition = |date = | publisher = | location = | language = | id = | doi = | pages = | chapter = | chapter-url = | quote = }}

{{cite book | last = | first = | authorlink = | editor = | title = | origyear = | url = | format = | accessdate = | edition = |date = | publisher = | location = | language = | id = | doi = | pages = | chapter = | chapter-url = | quote = }}

Nationality Polish:

While the Catholic Encyclopedia does not attribute a nationalityCatholic Encyclopedia: In 1497 Nicolaus was enrolled in the University of Bologna as of German nationality and a student in canon law. [http://www.newadvent.org/cathen/04352b.htm], Encyclopædia Britannica{{cite encyclopedia|encyclopedia=Encyclopædia Britannica Online|title=Copernicus, Nicolaus|url=http://www.britannica.com/eb/article-9105759|accessdate=2007-09-21|edition= |year=2007|publisher=Encyclopædia Britannica}} and Microsoft Encarta{{cite encyclopedia|encyclopedia=Encyclopædia Encarta Online|title=Nicolaus Copernicus, Polish astronomer|url=http://encarta.msn.com/encnet/refpages/RefArticle.aspx?refid=761571204|accessdate=2007-09-21|edition= |year=2007|publisher=Encyclopædia Encarta}} introduce him as "Polish astronomer", while refering to the cities of his life by their German names, not the Polish ones.

{{cite book

|last=

|first=

|authorlink=

|editor=

|title=

|origyear=

|url=

|format=

|accessdate=

|edition=

|date=

|year=

|publisher=

|location=

|language=

|id=

|doi=

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|chapter=

|chapter-url=

|quote=

}}

{{cite book

|author=Gassendi, Pierre, and Oliver Thill

|title=The Life of Copernicus (1473-1543)

|publisher=Xulon Press

|location=Fairfax, VA

|year=2002

|pages=

|isbn=1-59160-193-2

|oclc=

|doi=

}}

{{cite web

| url = http://remixmag.com/artists/remix_clara_rockmore/

| title = Clara Rockmore

| accessdate = 2006-10-19

| last = Strauss

| first = D.

| date = June 1, 2006

}}

• {{cite web

| url = http://www.thereminvox.com/article/articleview/21/1/22/

| title = In Clara's Words: An Interview with Clara Rockmore

| accessdate = 2006-10-19

| last = Moog

| first = Robert

| authorlink = Robert Moog

| date = October 27, 2002

}}

• {{cite book

| last = Glinsky

| first = Albert

| title = Theremin: Ether Music and Espionage

| location = Urbana, Illinois

| publisher = University of Illinois Press

| year = 2000

| isbn = 0-252-02582-2

}}

• {{cite video

| people = Olsen, William (Director)

|date= 1995

| title = Mastering the Theremin

| url =

| medium = Videotape (VHS)

| location =

| publisher = Moog Music and Little Big Films

}}

• {{cite video

| people = Martin, Steven M. (Director)

|date= 1995

| title = Theremin: An Electronic Odyssey

| url =

| medium = Film and DVD

| location =

| publisher = MGM

}}

• {{cite video

| people = Moog, Robert (Producer)

|date= 1998

| title = Clara Rockmore: The Greatest Theremin Virtuosa

| url =

| medium = Videotape (VHS)

| location =

| publisher = Moog Music and Little Big Films

}}

{{cite book

| last = Manchester

| first = William

| authorlink = William Manchester

| title = A world lit only by fire : the medieval mind and the Renaissance : portrait of an age

| year = 1992

| publisher = Little, Brown

| location = Boston

| pages =

| isbn = 0316545317

| quote =

}}

Magellan: pp. 223-292

Subjects: Renaissance.

Learning and scholarship--History--Medieval, 500-1500.

Lavoisier first established the law of conservation of mass.

{{cite book

| last = Schwinger

| first = Julian

| authorlink = Julian Schwinger

| title = Einstein's Legacy

| year = 1986

| publisher = Scientific American Library

| location = New York

| pages = 93

| isbn = 0-7167-5011-2

}}

McEvoy, John G. "Priestley Responds to Lavoisier's Nomenclature: Language, Liberty, and Chemistry in the English Enlightenment". Lavoisier in European Context: Negotiating a New Language for Chemistry. Eds. Bernadette Bensaude-Vincent and Ferdinando Abbri. Canton, MA: Science History Publications, 1995. {{ISBN|088135189X}}.

For example, the 17th-century philospher Baruch Spinoza argued for absolute determinism and absolute materialism.

Nadler, Steven M. Spinoza's Ethics: An Introduction. New York: Cambridge University Press, 2006: 84–87, 108–11, 143–49. {{ISBN|9780521836203}}. As an example, Proposition 48 of Spinoza's Ethics states: "In the mind there is no absolute or free will, but the mind is determined to this or that volition by a cause, which is also determined by another cause, and this again by another, and so on ad infinitum." Spinoza, Baruch. The Collected Works of Spinoza. Ed. & trans. Edwin Curley. Princeton: Princeton University Press, 1985: Vol. I, 483. {{ISBN|0691072221}}.

Leibniz, Gottfried Wilhelm. Confessio Philosphi: Papers Concerning the Problem of Evil, 1671-1678. Trans. Robert C. Sleigh, Jr. New Haven: Yale University Press 2004: xxxviii, 109. {{ISBN|9780300089585}}. The original Latin text and an English translation of Leibniz's A Philosopher's Creed can be found on the Latin and English Wikisources, respectively. Like Spinoza

Stewart, Matthew. The Courtier and the Heretic: Leibniz, Spinoza, and the Fate of God in the Modern World. New York: W. W. Norton, 2006: 171. {{ISBN|0393058980}}. and Priestley,McEvoy and McGuire, 341.

Leibniz argued that human will was completely determined by natural laws;

Adams, Robert Merrihew. Leibniz: Determinist, Theist, Idealist. New York: Oxford University Press, 1998: 10–13, 1–20, 41–44. {{ISBN|0195084608}}.

however, unlike them, Leibniz argued for a "parallel universe" of immaterial objects (such as human souls) so arranged by God that its outcomes agree exactly with those of the material universe.

Rutherford, 213–18.

Leibniz

Rutherford, 46.

and Priestley

Schofield (2004), 78-79.

share an optimism that God has chosen the chain of events benevolently; however, Priestley believed that the events were leading to a glorious Millennial conclusion, whereas for Leibniz the entire chain of events was optimal in and of itself, as when compared with other conceivable entire chains of events.

Rutherford, 12-15, 22-45, 49-54.

• Rutherford, Donald. Leibniz and the Rational Order of Nature. Cambridge: Cambridge University Press, 1995. {{ISBN|0521461553}}.

{{Ul|7107delicious}}

[http://en.wikipedia.org/w/index.php?title=Garuda_Indonesia&diff=prev&oldid=330421821 Bare URL and wikicode blunder]

[http://en.wikipedia.org/w/index.php?title=User_talk:ZooPro&diff=328006017&oldid=327919901 solemn apology, prior thread, self-outed]

User talk:StephenBuxton Mentor (see archives)

Wikipedia:Tools

Wikipedia:Citing sources#Tools

[http://diberri.dyndns.org/wikipedia/templates/ Diberri Wikipedia template filling] [http://diberri.crabdance.com/cgi-bin/templatefiller/ Alternate URL]: Enter ISBN, URL, DrugBank ID, HGNC ID, PubMed ID, or PubChem ID to fill out an appropriate template that can be pasted into a Wikipedia article; links to an ISBN database.

[http://isbndb.com/ ISBNdb.com -- unique book & ISBN database]: ISBNdb.com project is a database of books in different languages providing on-line and remote research tools for individuals, librarians, scientists, etc. Taking data from hundreds of libraries across the world ISBNdb is a unique tool you won't find anywhere else. Please check the FAQ for more details. As an additional service we also provide book price comparison, one of the fastest on the net!

[http://tools.wikimedia.de/~interiot/cgi-bin/tstoc Toolserver Table of Contents]

User:AmiDaniel/WhodunitQuery

List of online encyclopedias

[http://tools.wikimedia.de/~magnus/index.html Magnus' toys] can be discussed at Magnus' talk page

[http://tools.wikimedia.de/~magnus/prepbio.php PrepBio] can be used to prepare a biographical entry on en.wikipedia (templates, categories, formatting etc.). Get the [http://tools.wikimedia.de/~magnus/sources.php?script=prepbio.php source of this script]. For more information, see [http://meta.wikipedia.org/wiki/PrepBio PrepBio] on meta.

[http://tools.wikimedia.de/~magnus/makeref.php Reference generator] generates a reference (footnote) using the templates for citing news on the Web, a paper in a journal, or a Web site from a form. The following is an example journal cite:

Example. {{cite journal|title=Self-replication and scrapie|journal=Nature|date=1967-09-02|volume=215|issue=105|pages=1043–4|pmid= 4964084 |doi=10.1038/2151043a0|s2cid=4171947|url=http://example.com|format=PDF|accessdate=2007-02-19|last1=Griffith |first1=J. S. }}

;References

Wikipedia:Editnotice

{{Tl|Editnotice}}

See Wikipedia:Template messages

{{#if:|== {{{heading}}} ==|}}

width="100%" style="background:transparent" |style="width: 50%; border:1px solid #{{#switch:{{{color}}}|pink=800808|084080}}; background-color:#{{#switch:{{{color}}}|pink=FFF5F5|F5FFFA}}; vertical-align:top"| {| width="100%" cellpadding="2" style="vertical-align:top; background-color:#{{#switch:{{{color}}}|pink=FFF5F5|F5FFFA}}" | Hello, Finell, and Welcome to Wikipedia! Please remember to sign your name on talk pages by clicking Image:Signature icon.png or using four tildes (~~~~); this will automatically produce your username and the date. Also, please do your best to always fill in the edit summary field. Below are some useful links to facilitate your involvement. {{#if:| {{{1}}}

}

Happy editing! —Finell 01:48, 20 November 2009 (UTC)