Point groups in three dimensions: Revision history

11 February 2024

• curprev 08:5108:51, 11 February 2024‎ Beland talk contribs‎ 61,285 bytes +287‎ {{MOS}} undo Tag: nowiki added

26 January 2024

• curprev 18:5018:50, 26 January 2024‎ Kku talk contribs‎ m 60,998 bytes +4‎ link Lie group undo

15 July 2023

• curprev 08:1508:15, 15 July 2023‎ Eric Kvaalen talk contribs‎ 60,994 bytes −1‎ That should have said →‎The seven remaining point groups: Added information about subgroups. undo
• curprev 08:1308:13, 15 July 2023‎ Eric Kvaalen talk contribs‎ 60,995 bytes +490‎ →‎The seven infinite series of axial groups: Added information about subgroups. undo

14 July 2023

• curprev 21:2421:24, 14 July 2023‎ Jacobolus talk contribs‎ m 60,505 bytes +12‎ Undid revision 1165378776 by Beland (talk) regression undo Tag: Undo
• curprev 20:1220:12, 14 July 2023‎ Beland talk contribs‎ 60,493 bytes −12‎ convert special characters found by Wikipedia:Typo Team/moss (via WP:JWB) undo Tag: Reverted

1 July 2023

• curprev 16:0116:01, 1 July 2023‎ Eric Kvaalen talk contribs‎ 60,505 bytes +17‎ →‎3D isometries that leave origin fixed: S_n does not generate the S_n group unless n is even. undo

28 September 2022

• curprev 00:1600:16, 28 September 2022‎ MadeOfAtoms talk contribs‎ 60,488 bytes +292‎ →‎Finite isometry groups: section links to indicate that more details follow; copy edit; add selected details. undo

27 September 2022

• curprev 08:4508:45, 27 September 2022‎ MadeOfAtoms talk contribs‎ 60,196 bytes +882‎ →‎3D isometries that leave origin fixed: specify symbols for the operations undo
• curprev 08:3908:39, 27 September 2022‎ MadeOfAtoms talk contribs‎ 59,314 bytes +61‎ →‎3D isometries that leave origin fixed: rewrite section for clarity; omit distinction between 180 degrees vs not. undo

1 September 2022

• curprev 11:5711:57, 1 September 2022‎ Eric Kvaalen talk contribs‎ 59,253 bytes +199‎ The set of points on a circle at rational numbers of degrees around the circle illustrates a point group requiring an infinite number of generators. undo

24 August 2022

• curprev 16:3716:37, 24 August 2022‎ Eric Kvaalen talk contribs‎ 59,054 bytes +404‎ →‎The seven infinite series of axial groups: The continuous groups are limits of the finite groups only in the sense that they arise when the main rotation is replaced by rotation by an arbitrary angle, so not necessarily a rational number of degrees as with the finite groups. undo
• curprev 16:1616:16, 24 August 2022‎ Eric Kvaalen talk contribs‎ m 58,650 bytes +11‎ →‎Infinite isometry groups: The seven continuous groups are limits only in a sense. undo
• curprev 16:1416:14, 24 August 2022‎ Eric Kvaalen talk contribs‎ 58,639 bytes +106‎ →‎Infinite isometry groups: Not all of these are possible for physical objects. undo
• curprev 13:3213:32, 24 August 2022‎ Eric Kvaalen talk contribs‎ 58,533 bytes +41‎ →‎The seven infinite series of axial groups: The groups with continuous rotations are not related to Z_\infty (whatever that means!). undo
• curprev 12:5612:56, 24 August 2022‎ Eric Kvaalen talk contribs‎ 58,492 bytes +192‎ →‎Infinite isometry groups: It's vector fields that may lack the mirror. I don't see any exception for ∞∞ versus ∞∞m. undo

23 August 2022

• curprev 09:1309:13, 23 August 2022‎ Wiki LIC talk contribs‎ m 58,300 bytes −1‎ →‎The seven infinite series of axial groups undo

25 April 2022

• curprev 18:3118:31, 25 April 2022‎ MadeOfAtoms talk contribs‎ 58,301 bytes +188‎ →‎Infinite isometry groups: Distinguish symmetries of 3D shapes from physical objects undo

11 April 2022

• curprev 05:5405:54, 11 April 2022‎ MadeOfAtoms talk contribs‎ 58,113 bytes +47‎ →‎Correspondence between rotation groups and other groups: copy edit and misc detail undo

10 April 2022

• curprev 21:4521:45, 10 April 2022‎ MadeOfAtoms talk contribs‎ 58,066 bytes −447‎ →‎Correspondence between rotation groups and other groups: Replace lists of prose with tables; divide into subsections undo
• curprev 21:1821:18, 10 April 2022‎ MadeOfAtoms talk contribs‎ 58,513 bytes −134‎ Merge most of →‎Group structure: into →‎Correspondence between rotation groups and other groups: since they cover the same subject. Split off the paragraph on normal subgroups into its own section. undo

9 April 2022

• curprev 23:1723:17, 9 April 2022‎ MadeOfAtoms talk contribs‎ 58,647 bytes +270‎ →‎Top: Repair definition of rotation group, which assumed a bounded object, by moving the oddly placed mention of E+ out of →‎Group structure: and into the lead for this purpose. undo
• curprev 22:0422:04, 9 April 2022‎ MadeOfAtoms talk contribs‎ 58,377 bytes +23‎ →‎top: objects needs to be bounded for this defn of chirality undo

9 December 2021

• curprev 03:4403:44, 9 December 2021‎ MadeOfAtoms talk contribs‎ 58,354 bytes +35‎ →‎The seven infinite series of axial groups: twistane as a D2 example undo
• curprev 01:1001:10, 9 December 2021‎ MadeOfAtoms talk contribs‎ 58,319 bytes −218‎ →‎The seven infinite series of axial groups: Removed example molecules for D2 symmetry that are confusing because they also have tetrahedral symmetry. undo

3 December 2021

• curprev 15:1915:19, 3 December 2021‎ 60.227.230.233 talk‎ 58,537 bytes +13‎ →‎The seven infinite series of axial groups: chirality is a property of the whole system. Whilst it's use here was correct, the phrasing could be easily misinterpretted. "absolute configuration" is better phrasing as it is less likely to be misinterpretted undo

2 December 2021

• curprev 19:4019:40, 2 December 2021‎ Eric Kvaalen talk contribs‎ 58,524 bytes +1‎ →‎The seven infinite series of axial groups: Restored a right parenthesis. undo

1 December 2021

• curprev 09:3209:32, 1 December 2021‎ MadeOfAtoms talk contribs‎ 58,523 bytes −599‎ →‎Relation between orbifold notation and order: Remove entire small section: this algorithm provides excessive detail, given that orbifold notation provides it and is repeatedly linked; orbifold notation has not been specified or summarized first in this article; and the article is overly-long. The final statement about wallpaper groups and frieze groups is already given in a previous section. undo
• curprev 08:4608:46, 1 December 2021‎ MadeOfAtoms talk contribs‎ 59,122 bytes −7‎ details: typo and italics undo
• curprev 08:4208:42, 1 December 2021‎ MadeOfAtoms talk contribs‎ 59,129 bytes +167‎ →‎Reflective Coxeter groups: Give the finite reflective groups in Schoenflies notation. undo
• curprev 08:1508:15, 1 December 2021‎ MadeOfAtoms talk contribs‎ 58,962 bytes +23‎ Move Coxeter group notation and details from lead to ==Reflective Coxeter groups== undo
• curprev 07:3707:37, 1 December 2021‎ MadeOfAtoms talk contribs‎ 58,939 bytes −3‎ Omit real space R in O(n,R) and SO(n,R), leaving it implied, rather than have the R come and go. undo

24 October 2021

• curprev 02:3202:32, 24 October 2021‎ 2601:445:4380:7dd0:e063:b69:3cb1:9a7c talk‎ 58,942 bytes +4‎ →‎Group structure undo

3 October 2021

• curprev 05:0805:08, 3 October 2021‎ MadeOfAtoms talk contribs‎ 58,938 bytes +676‎ Italicize all Shoenflies symbols as IUPAC recommends (https://goldbook.iupac.org/terms/view/P04703); was intermixed italic and upright. Otherwise, use italics for variables only. (Leaving →‎Group structure: alone for now.) undo

2 October 2021

• curprev 01:2301:23, 2 October 2021‎ MadeOfAtoms talk contribs‎ 58,262 bytes +11‎ T_d repairs undo
• curprev 01:0401:04, 2 October 2021‎ MadeOfAtoms talk contribs‎ 58,251 bytes +143‎ copyedit and misc updates to text for new tetrahedral images undo
• curprev 00:3400:34, 2 October 2021‎ MadeOfAtoms talk contribs‎ 58,108 bytes +660‎ add images for tetrahedral symmetries undo

26 September 2021

• curprev 23:5723:57, 26 September 2021‎ MadeOfAtoms talk contribs‎ 57,448 bytes +99‎ →‎Rotation groups: list the seven polyhedral groups explicitly, instead of "one of the other seven"; italics typos undo

25 September 2021

• curprev 09:5209:52, 25 September 2021‎ MadeOfAtoms talk contribs‎ 57,349 bytes −4‎ →‎The seven infinite series of axial groups: factor of 2 in subscripts on Dih undo
• curprev 09:4209:42, 25 September 2021‎ MadeOfAtoms talk contribs‎ 57,353 bytes +12‎ →‎The seven infinite series of axial groups: Consistently use Dih instead of D for the Dihedral group to avoid confusion undo
• curprev 09:2809:28, 25 September 2021‎ MadeOfAtoms talk contribs‎ 57,341 bytes −1‎ →‎The seven infinite series of axial groups: repair column order undo
• curprev 07:1607:16, 25 September 2021‎ Tomruen talk contribs‎ 57,342 bytes +16‎ →‎The seven infinite series of axial groups undo
• curprev 05:0305:03, 25 September 2021‎ Tomruen talk contribs‎ 57,326 bytes −72‎ →‎The seven infinite series of axial groups: split order column undo

22 September 2021

• curprev 20:0220:02, 22 September 2021‎ Eric Kvaalen talk contribs‎ 57,398 bytes +1‎ →‎The seven infinite series of axial groups: S_{2n} is call'd a 2n-fold rotoreflexion, not an n-fold one. undo

17 September 2021

• curprev 19:5019:50, 17 September 2021‎ HTinC23 talk contribs‎ 57,397 bytes +28‎ update ref url (Burban's ''Du Val Singularities'') undo

12 September 2021

• curprev 08:3608:36, 12 September 2021‎ HTinC23 talk contribs‎ 57,369 bytes 0‎ →‎The groups arranged by abstract group type: typo: should be 4n+1 and 4n+3, not 2n+1 and 2n+3, also need n >= 8 taking into account the polyhedral groups below undo
• curprev 08:3308:33, 12 September 2021‎ HTinC23 talk contribs‎ 57,369 bytes +6‎ →‎Other: # of order 2 elements are wrong: see https://groupprops.subwiki.org/ undo

8 September 2021

• curprev 21:0721:07, 8 September 2021‎ HTinC23 talk contribs‎ m 57,363 bytes −12‎ typo: I has T subgroups but not T_h undo
• curprev 21:0621:06, 8 September 2021‎ HTinC23 talk contribs‎ m 57,375 bytes +2‎ →‎The seven infinite series of axial groups: typo? undo

4 September 2021

• curprev 13:2513:25, 4 September 2021‎ Eric Kvaalen talk contribs‎ 57,373 bytes +73‎ In spite of its name, T_h does not apply to a tetrahedron (contrary to the fact that the other point groups here do apply to tetrahedra, octrahedra, or icosahedra). undo