Intersection PuzzleOptimal play for 2 by 2 dots and boxesIn the Undead Game, what makes one board more difficult than another?Oct - Dots and Boxes on Steroids!A Total Masyu puzzleLatin square puzzleLatin Square Puzzle - Difficult$verb|Eight Circles|$Finding the hidden path (new grid puzzle concept?)A “Find the Path” PuzzleMasyu puzzles with many circles

How to show a landlord what we have in savings?

What is the most common color to indicate the input-field is disabled?

Size of subfigure fitting its content (tikzpicture)

Do UK voters know if their MP will be the Speaker of the House?

Detention in 1997

What reasons are there for a Capitalist to oppose a 100% inheritance tax?

Would Slavery Reparations be considered Bills of Attainder and hence Illegal?

How writing a dominant 7 sus4 chord in RNA ( Vsus7 chord in the 1st inversion)

What killed these X2 caps?

What type of content (depth/breadth) is expected for a short presentation for Asst Professor interview in the UK?

Why do bosons tend to occupy the same state?

Forgetting the musical notes while performing in concert

CAST throwing error when run in stored procedure but not when run as raw query

Bullying boss launched a smear campaign and made me unemployable

Is it logically or scientifically possible to artificially send energy to the body?

Examples of smooth manifolds admitting inbetween one and a continuum of complex structures

Plagiarism or not?

Why no variance term in Bayesian logistic regression?

Could the museum Saturn V's be refitted for one more flight?

Method Does Not Exist error message

Can my sorcerer use a spellbook only to collect spells and scribe scrolls, not cast?

Do scales need to be in alphabetical order?

Is there an expression that means doing something right before you will need it rather than doing it in case you might need it?

What does “the session was packed” mean in this context?



Intersection Puzzle


Optimal play for 2 by 2 dots and boxesIn the Undead Game, what makes one board more difficult than another?Oct - Dots and Boxes on Steroids!A Total Masyu puzzleLatin square puzzleLatin Square Puzzle - Difficult$verb|Eight Circles|$Finding the hidden path (new grid puzzle concept?)A “Find the Path” PuzzleMasyu puzzles with many circles













5












$begingroup$


I have invented a new puzzle called Intersection. Let's find out what it is!




Intersection



You are given an $ntimes n$ grid with circles and boxes inside arbitrary squares. A circle cannot be in the same grid square as another box; there must always be at least two circles, but at least one box; the circles and/or boxes cannot fill up every square in the grid. Now onto the real rules of the game!



Suppose we let $n=3$ and have the following configuration:




$$beginarray hline
& & \ hline
&bigcirc &square \ hline
bigcirc & & \ hline
endarray$$




The aim of the game in this case is to connect the two circles with lines, but the lines must intersect at the grid square with the box in the middle.



  • Lines only start from circles, not boxes or anywhere else;

  • When a line reaches an outer edge of the grid from a particular grid square, the line can be continued from the grid square on the directly opposite end of the same row/column, unless a line or circle is in the grid square on that very opposite end (kind of like how Pac-Man can leave the maze from one end and enter it back in from the directly opposite end);

  • Lines cannot start from a circle and then connect back to the same circle;

  • Lines cannot interfere with each other in regular grid squares, but only on the squares where the boxes are in;

  • Lines can only travel in rows and columns, no diagonals;

  • Up to four lines can protrude from a given circle in general, but that can vary depending on the position of a circle.

  • Lines can only connect to other circles by crossing at least one grid square — if two circles are in grid squares adjacent to each other, a line cannot connect them in between.

  • Lines must fill every grid square!

With those rules, here is the solution (though there could be more than one, but that I don't know for sure):




$qquadqquadqquadqquadqquadquad$Solution




How about something else?




$$beginarray hline
& &bigcirc \ hline
&bigcirc & \ hline
square & & \ hline
endarray$$




The solution to this is:




$qquadqquadqquadqquadqquadqquadquad$Solution 2
(sorry for the bad drawing skill; trust me, I'm better by hand than by software, but that's besides the point)




So, let's bump it up to something a little harder, shall we?




Puzzle



Solve the following intersection grid!




$$beginarray hline
bigcirc& & & \ hline
& &bigcirc & \ hline
&square &square & \ hline
& &bigcirc &square \ hline
endarray$$




The first user to answer with a solution will get the tick; another answer to follow that might also have a solution will get a $+50$ rep bounty; if an answer holds more than one solution, then it will get a $+100$ rep bounty (and if that one comes first, it will instead get the tick).



I hope my puzzle makes sense.



Good luck! :D




P.S. This game is like Flow for those who know that game, except the lines, well, intersect each other.










share|improve this question











$endgroup$











  • $begingroup$
    Must we fill in every square? Asking this given the "Flow" reference.
    $endgroup$
    – EKons
    3 hours ago










  • $begingroup$
    This is like the sequel Flow Free: Bridges.
    $endgroup$
    – noedne
    3 hours ago










  • $begingroup$
    @EKons yes! I will add that in
    $endgroup$
    – user477343
    3 hours ago










  • $begingroup$
    @noedne I have never heard of that... please don't tell me my game is the exact concept :(
    $endgroup$
    – user477343
    3 hours ago










  • $begingroup$
    I don't think it's the exact concept, since we have to connect all pairs of circles, not just each pair of same-colored circles (your grid has three such pairs, for example, Flow Free: Bridges needs an even number of circles because of the way it works).
    $endgroup$
    – EKons
    3 hours ago















5












$begingroup$


I have invented a new puzzle called Intersection. Let's find out what it is!




Intersection



You are given an $ntimes n$ grid with circles and boxes inside arbitrary squares. A circle cannot be in the same grid square as another box; there must always be at least two circles, but at least one box; the circles and/or boxes cannot fill up every square in the grid. Now onto the real rules of the game!



Suppose we let $n=3$ and have the following configuration:




$$beginarray hline
& & \ hline
&bigcirc &square \ hline
bigcirc & & \ hline
endarray$$




The aim of the game in this case is to connect the two circles with lines, but the lines must intersect at the grid square with the box in the middle.



  • Lines only start from circles, not boxes or anywhere else;

  • When a line reaches an outer edge of the grid from a particular grid square, the line can be continued from the grid square on the directly opposite end of the same row/column, unless a line or circle is in the grid square on that very opposite end (kind of like how Pac-Man can leave the maze from one end and enter it back in from the directly opposite end);

  • Lines cannot start from a circle and then connect back to the same circle;

  • Lines cannot interfere with each other in regular grid squares, but only on the squares where the boxes are in;

  • Lines can only travel in rows and columns, no diagonals;

  • Up to four lines can protrude from a given circle in general, but that can vary depending on the position of a circle.

  • Lines can only connect to other circles by crossing at least one grid square — if two circles are in grid squares adjacent to each other, a line cannot connect them in between.

  • Lines must fill every grid square!

With those rules, here is the solution (though there could be more than one, but that I don't know for sure):




$qquadqquadqquadqquadqquadquad$Solution




How about something else?




$$beginarray hline
& &bigcirc \ hline
&bigcirc & \ hline
square & & \ hline
endarray$$




The solution to this is:




$qquadqquadqquadqquadqquadqquadquad$Solution 2
(sorry for the bad drawing skill; trust me, I'm better by hand than by software, but that's besides the point)




So, let's bump it up to something a little harder, shall we?




Puzzle



Solve the following intersection grid!




$$beginarray hline
bigcirc& & & \ hline
& &bigcirc & \ hline
&square &square & \ hline
& &bigcirc &square \ hline
endarray$$




The first user to answer with a solution will get the tick; another answer to follow that might also have a solution will get a $+50$ rep bounty; if an answer holds more than one solution, then it will get a $+100$ rep bounty (and if that one comes first, it will instead get the tick).



I hope my puzzle makes sense.



Good luck! :D




P.S. This game is like Flow for those who know that game, except the lines, well, intersect each other.










share|improve this question











$endgroup$











  • $begingroup$
    Must we fill in every square? Asking this given the "Flow" reference.
    $endgroup$
    – EKons
    3 hours ago










  • $begingroup$
    This is like the sequel Flow Free: Bridges.
    $endgroup$
    – noedne
    3 hours ago










  • $begingroup$
    @EKons yes! I will add that in
    $endgroup$
    – user477343
    3 hours ago










  • $begingroup$
    @noedne I have never heard of that... please don't tell me my game is the exact concept :(
    $endgroup$
    – user477343
    3 hours ago










  • $begingroup$
    I don't think it's the exact concept, since we have to connect all pairs of circles, not just each pair of same-colored circles (your grid has three such pairs, for example, Flow Free: Bridges needs an even number of circles because of the way it works).
    $endgroup$
    – EKons
    3 hours ago













5












5








5





$begingroup$


I have invented a new puzzle called Intersection. Let's find out what it is!




Intersection



You are given an $ntimes n$ grid with circles and boxes inside arbitrary squares. A circle cannot be in the same grid square as another box; there must always be at least two circles, but at least one box; the circles and/or boxes cannot fill up every square in the grid. Now onto the real rules of the game!



Suppose we let $n=3$ and have the following configuration:




$$beginarray hline
& & \ hline
&bigcirc &square \ hline
bigcirc & & \ hline
endarray$$




The aim of the game in this case is to connect the two circles with lines, but the lines must intersect at the grid square with the box in the middle.



  • Lines only start from circles, not boxes or anywhere else;

  • When a line reaches an outer edge of the grid from a particular grid square, the line can be continued from the grid square on the directly opposite end of the same row/column, unless a line or circle is in the grid square on that very opposite end (kind of like how Pac-Man can leave the maze from one end and enter it back in from the directly opposite end);

  • Lines cannot start from a circle and then connect back to the same circle;

  • Lines cannot interfere with each other in regular grid squares, but only on the squares where the boxes are in;

  • Lines can only travel in rows and columns, no diagonals;

  • Up to four lines can protrude from a given circle in general, but that can vary depending on the position of a circle.

  • Lines can only connect to other circles by crossing at least one grid square — if two circles are in grid squares adjacent to each other, a line cannot connect them in between.

  • Lines must fill every grid square!

With those rules, here is the solution (though there could be more than one, but that I don't know for sure):




$qquadqquadqquadqquadqquadquad$Solution




How about something else?




$$beginarray hline
& &bigcirc \ hline
&bigcirc & \ hline
square & & \ hline
endarray$$




The solution to this is:




$qquadqquadqquadqquadqquadqquadquad$Solution 2
(sorry for the bad drawing skill; trust me, I'm better by hand than by software, but that's besides the point)




So, let's bump it up to something a little harder, shall we?




Puzzle



Solve the following intersection grid!




$$beginarray hline
bigcirc& & & \ hline
& &bigcirc & \ hline
&square &square & \ hline
& &bigcirc &square \ hline
endarray$$




The first user to answer with a solution will get the tick; another answer to follow that might also have a solution will get a $+50$ rep bounty; if an answer holds more than one solution, then it will get a $+100$ rep bounty (and if that one comes first, it will instead get the tick).



I hope my puzzle makes sense.



Good luck! :D




P.S. This game is like Flow for those who know that game, except the lines, well, intersect each other.










share|improve this question











$endgroup$




I have invented a new puzzle called Intersection. Let's find out what it is!




Intersection



You are given an $ntimes n$ grid with circles and boxes inside arbitrary squares. A circle cannot be in the same grid square as another box; there must always be at least two circles, but at least one box; the circles and/or boxes cannot fill up every square in the grid. Now onto the real rules of the game!



Suppose we let $n=3$ and have the following configuration:




$$beginarray hline
& & \ hline
&bigcirc &square \ hline
bigcirc & & \ hline
endarray$$




The aim of the game in this case is to connect the two circles with lines, but the lines must intersect at the grid square with the box in the middle.



  • Lines only start from circles, not boxes or anywhere else;

  • When a line reaches an outer edge of the grid from a particular grid square, the line can be continued from the grid square on the directly opposite end of the same row/column, unless a line or circle is in the grid square on that very opposite end (kind of like how Pac-Man can leave the maze from one end and enter it back in from the directly opposite end);

  • Lines cannot start from a circle and then connect back to the same circle;

  • Lines cannot interfere with each other in regular grid squares, but only on the squares where the boxes are in;

  • Lines can only travel in rows and columns, no diagonals;

  • Up to four lines can protrude from a given circle in general, but that can vary depending on the position of a circle.

  • Lines can only connect to other circles by crossing at least one grid square — if two circles are in grid squares adjacent to each other, a line cannot connect them in between.

  • Lines must fill every grid square!

With those rules, here is the solution (though there could be more than one, but that I don't know for sure):




$qquadqquadqquadqquadqquadquad$Solution




How about something else?




$$beginarray hline
& &bigcirc \ hline
&bigcirc & \ hline
square & & \ hline
endarray$$




The solution to this is:




$qquadqquadqquadqquadqquadqquadquad$Solution 2
(sorry for the bad drawing skill; trust me, I'm better by hand than by software, but that's besides the point)




So, let's bump it up to something a little harder, shall we?




Puzzle



Solve the following intersection grid!




$$beginarray hline
bigcirc& & & \ hline
& &bigcirc & \ hline
&square &square & \ hline
& &bigcirc &square \ hline
endarray$$




The first user to answer with a solution will get the tick; another answer to follow that might also have a solution will get a $+50$ rep bounty; if an answer holds more than one solution, then it will get a $+100$ rep bounty (and if that one comes first, it will instead get the tick).



I hope my puzzle makes sense.



Good luck! :D




P.S. This game is like Flow for those who know that game, except the lines, well, intersect each other.







grid-deduction puzzle-creation pencil-and-paper-games connections-puzzle






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 3 hours ago







user477343

















asked 3 hours ago









user477343user477343

3,2261857




3,2261857











  • $begingroup$
    Must we fill in every square? Asking this given the "Flow" reference.
    $endgroup$
    – EKons
    3 hours ago










  • $begingroup$
    This is like the sequel Flow Free: Bridges.
    $endgroup$
    – noedne
    3 hours ago










  • $begingroup$
    @EKons yes! I will add that in
    $endgroup$
    – user477343
    3 hours ago










  • $begingroup$
    @noedne I have never heard of that... please don't tell me my game is the exact concept :(
    $endgroup$
    – user477343
    3 hours ago










  • $begingroup$
    I don't think it's the exact concept, since we have to connect all pairs of circles, not just each pair of same-colored circles (your grid has three such pairs, for example, Flow Free: Bridges needs an even number of circles because of the way it works).
    $endgroup$
    – EKons
    3 hours ago
















  • $begingroup$
    Must we fill in every square? Asking this given the "Flow" reference.
    $endgroup$
    – EKons
    3 hours ago










  • $begingroup$
    This is like the sequel Flow Free: Bridges.
    $endgroup$
    – noedne
    3 hours ago










  • $begingroup$
    @EKons yes! I will add that in
    $endgroup$
    – user477343
    3 hours ago










  • $begingroup$
    @noedne I have never heard of that... please don't tell me my game is the exact concept :(
    $endgroup$
    – user477343
    3 hours ago










  • $begingroup$
    I don't think it's the exact concept, since we have to connect all pairs of circles, not just each pair of same-colored circles (your grid has three such pairs, for example, Flow Free: Bridges needs an even number of circles because of the way it works).
    $endgroup$
    – EKons
    3 hours ago















$begingroup$
Must we fill in every square? Asking this given the "Flow" reference.
$endgroup$
– EKons
3 hours ago




$begingroup$
Must we fill in every square? Asking this given the "Flow" reference.
$endgroup$
– EKons
3 hours ago












$begingroup$
This is like the sequel Flow Free: Bridges.
$endgroup$
– noedne
3 hours ago




$begingroup$
This is like the sequel Flow Free: Bridges.
$endgroup$
– noedne
3 hours ago












$begingroup$
@EKons yes! I will add that in
$endgroup$
– user477343
3 hours ago




$begingroup$
@EKons yes! I will add that in
$endgroup$
– user477343
3 hours ago












$begingroup$
@noedne I have never heard of that... please don't tell me my game is the exact concept :(
$endgroup$
– user477343
3 hours ago




$begingroup$
@noedne I have never heard of that... please don't tell me my game is the exact concept :(
$endgroup$
– user477343
3 hours ago












$begingroup$
I don't think it's the exact concept, since we have to connect all pairs of circles, not just each pair of same-colored circles (your grid has three such pairs, for example, Flow Free: Bridges needs an even number of circles because of the way it works).
$endgroup$
– EKons
3 hours ago




$begingroup$
I don't think it's the exact concept, since we have to connect all pairs of circles, not just each pair of same-colored circles (your grid has three such pairs, for example, Flow Free: Bridges needs an even number of circles because of the way it works).
$endgroup$
– EKons
3 hours ago










2 Answers
2






active

oldest

votes


















3












$begingroup$


solution­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­







share|improve this answer









$endgroup$




















    2












    $begingroup$

    I think I've got an alternative solution to noedne




    enter image description here







    share|improve this answer









    $endgroup$













      Your Answer





      StackExchange.ifUsing("editor", function ()
      return StackExchange.using("mathjaxEditing", function ()
      StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
      StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
      );
      );
      , "mathjax-editing");

      StackExchange.ready(function()
      var channelOptions =
      tags: "".split(" "),
      id: "559"
      ;
      initTagRenderer("".split(" "), "".split(" "), channelOptions);

      StackExchange.using("externalEditor", function()
      // Have to fire editor after snippets, if snippets enabled
      if (StackExchange.settings.snippets.snippetsEnabled)
      StackExchange.using("snippets", function()
      createEditor();
      );

      else
      createEditor();

      );

      function createEditor()
      StackExchange.prepareEditor(
      heartbeatType: 'answer',
      autoActivateHeartbeat: false,
      convertImagesToLinks: false,
      noModals: true,
      showLowRepImageUploadWarning: true,
      reputationToPostImages: null,
      bindNavPrevention: true,
      postfix: "",
      imageUploader:
      brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
      contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
      allowUrls: true
      ,
      noCode: true, onDemand: true,
      discardSelector: ".discard-answer"
      ,immediatelyShowMarkdownHelp:true
      );



      );













      draft saved

      draft discarded


















      StackExchange.ready(
      function ()
      StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fpuzzling.stackexchange.com%2fquestions%2f81367%2fintersection-puzzle%23new-answer', 'question_page');

      );

      Post as a guest















      Required, but never shown

























      2 Answers
      2






      active

      oldest

      votes








      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      3












      $begingroup$


      solution­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­







      share|improve this answer









      $endgroup$

















        3












        $begingroup$


        solution­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­







        share|improve this answer









        $endgroup$















          3












          3








          3





          $begingroup$


          solution­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­







          share|improve this answer









          $endgroup$




          solution­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­








          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 3 hours ago









          noednenoedne

          8,51412365




          8,51412365





















              2












              $begingroup$

              I think I've got an alternative solution to noedne




              enter image description here







              share|improve this answer









              $endgroup$

















                2












                $begingroup$

                I think I've got an alternative solution to noedne




                enter image description here







                share|improve this answer









                $endgroup$















                  2












                  2








                  2





                  $begingroup$

                  I think I've got an alternative solution to noedne




                  enter image description here







                  share|improve this answer









                  $endgroup$



                  I think I've got an alternative solution to noedne




                  enter image description here








                  share|improve this answer












                  share|improve this answer



                  share|improve this answer










                  answered 1 hour ago









                  hexominohexomino

                  45.4k4139219




                  45.4k4139219



























                      draft saved

                      draft discarded
















































                      Thanks for contributing an answer to Puzzling Stack Exchange!


                      • Please be sure to answer the question. Provide details and share your research!

                      But avoid


                      • Asking for help, clarification, or responding to other answers.

                      • Making statements based on opinion; back them up with references or personal experience.

                      Use MathJax to format equations. MathJax reference.


                      To learn more, see our tips on writing great answers.




                      draft saved


                      draft discarded














                      StackExchange.ready(
                      function ()
                      StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fpuzzling.stackexchange.com%2fquestions%2f81367%2fintersection-puzzle%23new-answer', 'question_page');

                      );

                      Post as a guest















                      Required, but never shown





















































                      Required, but never shown














                      Required, but never shown












                      Required, but never shown







                      Required, but never shown

































                      Required, but never shown














                      Required, but never shown












                      Required, but never shown







                      Required, but never shown







                      Popular posts from this blog

                      Can not update quote_id field of “quote_item” table magento 2Magento 2.1 - We can't remove the item. (Shopping Cart doesnt allow us to remove items before becomes empty)Add value for custom quote item attribute using REST apiREST API endpoint v1/carts/cartId/items always returns error messageCorrect way to save entries to databaseHow to remove all associated quote objects of a customer completelyMagento 2 - Save value from custom input field to quote_itemGet quote_item data using quote id and product id filter in Magento 2How to set additional data to quote_item table from controller in Magento 2?What is the purpose of additional_data column in quote_item table in magento2Set Custom Price to Quote item magento2 from controller

                      How to solve knockout JS error in Magento 2 Planned maintenance scheduled April 23, 2019 at 23:30 UTC (7:30pm US/Eastern) Announcing the arrival of Valued Associate #679: Cesar Manara Unicorn Meta Zoo #1: Why another podcast?(Magento2) knockout.js:3012 Uncaught ReferenceError: Unable to process bindingUnable to process binding Knockout.js magento 2Cannot read property `scopeLabel` of undefined on Product Detail PageCan't get Customer Data on frontend in Magento 2Magento2 Order Summary - unable to process bindingKO templates are not loading in Magento 2.1 applicationgetting knockout js error magento 2Product grid not load -— Unable to process binding Knockout.js magento 2Product form not loaded in magento2Uncaught ReferenceError: Unable to process binding “if: function()return (isShowLegend()) ” magento 2

                      Nissan Patrol Зміст Перше покоління — 4W60 (1951-1960) | Друге покоління — 60 series (1960-1980) | Третє покоління (1980–2002) | Четверте покоління — Y60 (1987–1998) | П'яте покоління — Y61 (1997–2013) | Шосте покоління — Y62 (2010- ) | Посилання | Зноски | Навігаційне менюОфіційний український сайтТест-драйв Nissan Patrol 2010 7-го поколінняNissan PatrolКак мы тестировали Nissan Patrol 2016рвиправивши або дописавши її