8
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MathJax version:

\begin{array} {|r|r|r|r|} \hline SNOWFLAKE & SANCTION & SHAKESPEARE & SOCCER\;BALL \\ \hline COLOSSUS & GEOMETRY & DUST & SCREW\;NUT \\ \hline GARDENS & AFTERNOON & HONEYCOMB & SEED \\ \hline BUSINESS & MAUSOLEUM & LEFT & LIGHTHOUSE \\ \hline \end{array}

CSV version:

SNOWFLAKE, SANCTION, SHAKESPEARE, SOCCER BALL
COLOSSUS, GEOMETRY, DUST, SCREW NUT
GARDENS, AFTERNOON, HONEYCOMB, SEED
BUSINESS, MAUSOLEUM, LEFT, LIGHTHOUSE

What are the 4 groups of 4 words each and how the words are connected to each other in each group?

Hint for the 4th group:

The tag has been added as a hint.

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  • $\begingroup$ Well, you should answer this. What is the criteria for each group? How is each group connected? $\endgroup$ – Maria Deleva Oct 15 '17 at 11:25
  • $\begingroup$ @MikeQ, Each group of 4 words is connected by something. And, no, the words are not connected by the column/row they are on. Similar questions with the same tag have been asked before and each group has a theme that connects the words. $\endgroup$ – Maria Deleva Oct 15 '17 at 11:32
  • $\begingroup$ Understood. It would have been helpful to restate the rules, though. Anyway I removed my earlier comments. $\endgroup$ – MikeQ Oct 15 '17 at 11:34
  • $\begingroup$ No problem. :) I guess I thought that was clear from the type of puzzle. But I should have explained it anyway. I reworded the question itself - hopefully, it is more clear now to anyone who sees the puzzle. $\endgroup$ – Maria Deleva Oct 15 '17 at 11:36
6
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Mike Q has found the first two groups.

The third group might be ...

... words that can have opposite meanings:

• to sanction can mean to approve of or to punish;
• to dust can mean to sprinkle with dust (or sugar) or to remove dust;
• to seed can mean to place seeds or to remove seeds (from fruit);
left can mean still there or having gone.

The last group is:

Shakespeare, geometry, afternoon and business: Each of those words has an A-Z sum of 108. (The A-Z sum is the sum of the letter values, where a letter's value is its position in the alphabet: A = 1, B = 2, C = 3, and so on until Z = 26.)

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  • 1
    $\begingroup$ You are right for the third group. Now only the last group needs its pattern. :) $\endgroup$ – Maria Deleva Oct 15 '17 at 17:09
  • $\begingroup$ I'm tempted to suggest "school" somewhere, but I don't think it fits these particular words, as in "business school", "afternoon school", school of shakespeare, but I don't get geometry into that $\endgroup$ – Joseph Doob Oct 15 '17 at 18:39
  • $\begingroup$ Yes, you are correct. So how can I accept an answer? @MikeQ has 2 groups correct and you have the other 2? :) $\endgroup$ – Maria Deleva Oct 17 '17 at 21:01
  • $\begingroup$ I decided to accept this answer as it gives credit to first 2 groups that have been solved by Mike Q and to just mark the puzzle as solved. :) Hopefully, this is OK with you both. $\endgroup$ – Maria Deleva Oct 17 '17 at 21:24
  • $\begingroup$ @Maria: Thanks, I'm fine with the tick. :) (But I wouldn't mind if it went to Mike. If you want a really neutral solution, write and accept your own answer where you credit the partial answers.) $\endgroup$ – M Oehm Oct 18 '17 at 6:30
7
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Partial answer

Group 1

The 7 ancient wonders of the world:
* Colossus of Rhodes
* Hanging Gardens of Babylon
* Lighthouse of Alexandria
* Mausoleum at Halicarnassus

Group 2

Stuff related to hexagonal patterns:
* A Snowflake will typically have hexagonal structure.
* A Soccer ball has hexagons and pentagons on its surface.
* A Honeycomb consists of hexagonal holes.
* A Screw nut is a hexagon with a circular hole.

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  • $\begingroup$ Except that the second in your group 2 doesn't actually fit your description of that group. $\endgroup$ – EKons Oct 15 '17 at 16:40
  • $\begingroup$ @ΈρικΚωνσταντόπουλος The groups are correct and soccer balls are actually made of hexagons and pentagons: upload.wikimedia.org/wikipedia/en/e/ec/Soccer_ball.svg $\endgroup$ – Maria Deleva Oct 15 '17 at 16:58
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For the remaining set of words (though a partial answer),

Perhaps, all are linked with the number 12

As,

Shakespeare has written a play called The Twelfth Night,
Time is denoted as afternoon only after 12:00 hrs noon,
Business has 12 golden rules for success (attributed to Forbes)
Geometry... is perhaps the one that may not be linked with 12 properly, thoug there are few posts stating that it is a framework number that decides the shape of universe geometrically !

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  • $\begingroup$ That's implausible enough that it encourages me to reveal one of my rejected candidates: Remove the first two letters and the last three and you get a word. TERN and SIN are obvious enough. OME is the opposite of "emo" and amazingly AKESPE is a place in Kazakhstan! Unfortunately LOS and REW are genuine words too: one doesn't even need to go to Urban Dictionary or the atlas! :D $\endgroup$ – Laska Oct 17 '17 at 16:59

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