What is the slope of this line? [closed]

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I have a lattice that has infinite length (directions) in $+x$ (leftwards) and $+y$ (downwards).
What is the slope-value of the line shown on the graph when the magnitude of the line increases?



enter image description here



My guess is that there is a fraction there, but I dont know how to find it.
Ok, after counting the cells of the interior rectangle of $3times5$ I found out it might be $3/5 = 0.6$. But dunno if its correct.




real-analysis discrete-mathematics binary integer-lattices




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closed as off-topic by amWhy, Arnaud Mortier, Xander Henderson, max_zorn, Taroccoesbrocco Aug 1 at 11:27


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, Arnaud Mortier, Xander Henderson, max_zorn, Taroccoesbrocco
If this question can be reworded to fit the rules in the help center, please edit the question.








  • 1




    What exactly is the repeating pattern?
    – Arnaud Mortier
    Jul 31 at 22:07










  • Why are not happy just considering the ratio of the sides of your rectangle?
    – Arnaud Mortier
    Jul 31 at 22:10










  • Ok, I tried and found $3/5 = 0.6$, but is there another fraction for this value?
    – Natural Number Guy
    Jul 31 at 22:13










  • @Arnaud Mortier the left edge on-bits (binary expansion) (that is iterations) of $f(2^n-1)$ in Odd Collatz function: $(3n+1)/2$ without the even results. So this is line is just some sub-section of the outputs.
    – Natural Number Guy
    Jul 31 at 22:20











  • Then there is definitely no way to answer from so little information. You are probably after the asymptotics of some function but it's hard to tell.
    – Arnaud Mortier
    Jul 31 at 22:28















up vote
0
down vote

favorite
1












I have a lattice that has infinite length (directions) in $+x$ (leftwards) and $+y$ (downwards).
What is the slope-value of the line shown on the graph when the magnitude of the line increases?



enter image description here



My guess is that there is a fraction there, but I dont know how to find it.
Ok, after counting the cells of the interior rectangle of $3times5$ I found out it might be $3/5 = 0.6$. But dunno if its correct.




real-analysis discrete-mathematics binary integer-lattices




share|cite|improve this question













closed as off-topic by amWhy, Arnaud Mortier, Xander Henderson, max_zorn, Taroccoesbrocco Aug 1 at 11:27


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, Arnaud Mortier, Xander Henderson, max_zorn, Taroccoesbrocco
If this question can be reworded to fit the rules in the help center, please edit the question.








  • 1




    What exactly is the repeating pattern?
    – Arnaud Mortier
    Jul 31 at 22:07










  • Why are not happy just considering the ratio of the sides of your rectangle?
    – Arnaud Mortier
    Jul 31 at 22:10










  • Ok, I tried and found $3/5 = 0.6$, but is there another fraction for this value?
    – Natural Number Guy
    Jul 31 at 22:13










  • @Arnaud Mortier the left edge on-bits (binary expansion) (that is iterations) of $f(2^n-1)$ in Odd Collatz function: $(3n+1)/2$ without the even results. So this is line is just some sub-section of the outputs.
    – Natural Number Guy
    Jul 31 at 22:20











  • Then there is definitely no way to answer from so little information. You are probably after the asymptotics of some function but it's hard to tell.
    – Arnaud Mortier
    Jul 31 at 22:28













up vote
0
down vote

favorite
1









up vote
0
down vote

favorite
1






1





I have a lattice that has infinite length (directions) in $+x$ (leftwards) and $+y$ (downwards).
What is the slope-value of the line shown on the graph when the magnitude of the line increases?



enter image description here



My guess is that there is a fraction there, but I dont know how to find it.
Ok, after counting the cells of the interior rectangle of $3times5$ I found out it might be $3/5 = 0.6$. But dunno if its correct.




real-analysis discrete-mathematics binary integer-lattices




share|cite|improve this question













I have a lattice that has infinite length (directions) in $+x$ (leftwards) and $+y$ (downwards).
What is the slope-value of the line shown on the graph when the magnitude of the line increases?



enter image description here



My guess is that there is a fraction there, but I dont know how to find it.
Ok, after counting the cells of the interior rectangle of $3times5$ I found out it might be $3/5 = 0.6$. But dunno if its correct.





real-analysis discrete-mathematics binary integer-lattices





share|cite|improve this question












share|cite|improve this question




share|cite|improve this question








edited Jul 31 at 23:40
























asked Jul 31 at 21:52









Natural Number Guy

362315




362315




closed as off-topic by amWhy, Arnaud Mortier, Xander Henderson, max_zorn, Taroccoesbrocco Aug 1 at 11:27


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, Arnaud Mortier, Xander Henderson, max_zorn, Taroccoesbrocco
If this question can be reworded to fit the rules in the help center, please edit the question.




closed as off-topic by amWhy, Arnaud Mortier, Xander Henderson, max_zorn, Taroccoesbrocco Aug 1 at 11:27


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, Arnaud Mortier, Xander Henderson, max_zorn, Taroccoesbrocco
If this question can be reworded to fit the rules in the help center, please edit the question.







  • 1




    What exactly is the repeating pattern?
    – Arnaud Mortier
    Jul 31 at 22:07










  • Why are not happy just considering the ratio of the sides of your rectangle?
    – Arnaud Mortier
    Jul 31 at 22:10










  • Ok, I tried and found $3/5 = 0.6$, but is there another fraction for this value?
    – Natural Number Guy
    Jul 31 at 22:13










  • @Arnaud Mortier the left edge on-bits (binary expansion) (that is iterations) of $f(2^n-1)$ in Odd Collatz function: $(3n+1)/2$ without the even results. So this is line is just some sub-section of the outputs.
    – Natural Number Guy
    Jul 31 at 22:20











  • Then there is definitely no way to answer from so little information. You are probably after the asymptotics of some function but it's hard to tell.
    – Arnaud Mortier
    Jul 31 at 22:28













  • 1




    What exactly is the repeating pattern?
    – Arnaud Mortier
    Jul 31 at 22:07










  • Why are not happy just considering the ratio of the sides of your rectangle?
    – Arnaud Mortier
    Jul 31 at 22:10










  • Ok, I tried and found $3/5 = 0.6$, but is there another fraction for this value?
    – Natural Number Guy
    Jul 31 at 22:13










  • @Arnaud Mortier the left edge on-bits (binary expansion) (that is iterations) of $f(2^n-1)$ in Odd Collatz function: $(3n+1)/2$ without the even results. So this is line is just some sub-section of the outputs.
    – Natural Number Guy
    Jul 31 at 22:20











  • Then there is definitely no way to answer from so little information. You are probably after the asymptotics of some function but it's hard to tell.
    – Arnaud Mortier
    Jul 31 at 22:28








1




1




What exactly is the repeating pattern?
– Arnaud Mortier
Jul 31 at 22:07




What exactly is the repeating pattern?
– Arnaud Mortier
Jul 31 at 22:07












Why are not happy just considering the ratio of the sides of your rectangle?
– Arnaud Mortier
Jul 31 at 22:10




Why are not happy just considering the ratio of the sides of your rectangle?
– Arnaud Mortier
Jul 31 at 22:10












Ok, I tried and found $3/5 = 0.6$, but is there another fraction for this value?
– Natural Number Guy
Jul 31 at 22:13




Ok, I tried and found $3/5 = 0.6$, but is there another fraction for this value?
– Natural Number Guy
Jul 31 at 22:13












@Arnaud Mortier the left edge on-bits (binary expansion) (that is iterations) of $f(2^n-1)$ in Odd Collatz function: $(3n+1)/2$ without the even results. So this is line is just some sub-section of the outputs.
– Natural Number Guy
Jul 31 at 22:20





@Arnaud Mortier the left edge on-bits (binary expansion) (that is iterations) of $f(2^n-1)$ in Odd Collatz function: $(3n+1)/2$ without the even results. So this is line is just some sub-section of the outputs.
– Natural Number Guy
Jul 31 at 22:20













Then there is definitely no way to answer from so little information. You are probably after the asymptotics of some function but it's hard to tell.
– Arnaud Mortier
Jul 31 at 22:28





Then there is definitely no way to answer from so little information. You are probably after the asymptotics of some function but it's hard to tell.
– Arnaud Mortier
Jul 31 at 22:28











1 Answer
1






active

oldest

votes

















up vote
0
down vote



accepted










We have



  • $Delta x =10$


  • $Delta y =15$


then



  • slope $= tan theta =fracDelta yDelta x=frac1510=frac32$





share|cite|improve this answer





















  • The OP shows only a small part of the line, there is no way to answer the actual question being asked.
    – Arnaud Mortier
    Jul 31 at 23:09










  • @ArnaudMortier I’m assuming that the pattern will repeat and at an infinite length the slope is equal to 3/2. I cannot see anybother interpretation of the OP.
    – gimusi
    Jul 31 at 23:11











  • I tried asking additional details and although the answer wasn't clear, I'm almost certain that this is not the case.
    – Arnaud Mortier
    Jul 31 at 23:13










  • Sorry for being unclear. The line is a straight line. I've updated the diagram for more clarity hopefully. Gimusi is close to what I want.
    – Natural Number Guy
    Jul 31 at 23:16










  • @NaturalNumberGuy gimusi's answer is correct if the pattern repeats identically outside the visible box, which you haven't made clear.
    – Arnaud Mortier
    Jul 31 at 23:19


















1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes








up vote
0
down vote



accepted










We have



  • $Delta x =10$


  • $Delta y =15$


then



  • slope $= tan theta =fracDelta yDelta x=frac1510=frac32$





share|cite|improve this answer





















  • The OP shows only a small part of the line, there is no way to answer the actual question being asked.
    – Arnaud Mortier
    Jul 31 at 23:09










  • @ArnaudMortier I’m assuming that the pattern will repeat and at an infinite length the slope is equal to 3/2. I cannot see anybother interpretation of the OP.
    – gimusi
    Jul 31 at 23:11











  • I tried asking additional details and although the answer wasn't clear, I'm almost certain that this is not the case.
    – Arnaud Mortier
    Jul 31 at 23:13










  • Sorry for being unclear. The line is a straight line. I've updated the diagram for more clarity hopefully. Gimusi is close to what I want.
    – Natural Number Guy
    Jul 31 at 23:16










  • @NaturalNumberGuy gimusi's answer is correct if the pattern repeats identically outside the visible box, which you haven't made clear.
    – Arnaud Mortier
    Jul 31 at 23:19















up vote
0
down vote



accepted










We have



  • $Delta x =10$


  • $Delta y =15$


then



  • slope $= tan theta =fracDelta yDelta x=frac1510=frac32$





share|cite|improve this answer





















  • The OP shows only a small part of the line, there is no way to answer the actual question being asked.
    – Arnaud Mortier
    Jul 31 at 23:09










  • @ArnaudMortier I’m assuming that the pattern will repeat and at an infinite length the slope is equal to 3/2. I cannot see anybother interpretation of the OP.
    – gimusi
    Jul 31 at 23:11











  • I tried asking additional details and although the answer wasn't clear, I'm almost certain that this is not the case.
    – Arnaud Mortier
    Jul 31 at 23:13










  • Sorry for being unclear. The line is a straight line. I've updated the diagram for more clarity hopefully. Gimusi is close to what I want.
    – Natural Number Guy
    Jul 31 at 23:16










  • @NaturalNumberGuy gimusi's answer is correct if the pattern repeats identically outside the visible box, which you haven't made clear.
    – Arnaud Mortier
    Jul 31 at 23:19













up vote
0
down vote



accepted







up vote
0
down vote



accepted






We have



  • $Delta x =10$


  • $Delta y =15$


then



  • slope $= tan theta =fracDelta yDelta x=frac1510=frac32$





share|cite|improve this answer













We have



  • $Delta x =10$


  • $Delta y =15$


then



  • slope $= tan theta =fracDelta yDelta x=frac1510=frac32$






share|cite|improve this answer













share|cite|improve this answer



share|cite|improve this answer











answered Jul 31 at 22:52









gimusi

64.1k73480




64.1k73480











  • The OP shows only a small part of the line, there is no way to answer the actual question being asked.
    – Arnaud Mortier
    Jul 31 at 23:09










  • @ArnaudMortier I’m assuming that the pattern will repeat and at an infinite length the slope is equal to 3/2. I cannot see anybother interpretation of the OP.
    – gimusi
    Jul 31 at 23:11











  • I tried asking additional details and although the answer wasn't clear, I'm almost certain that this is not the case.
    – Arnaud Mortier
    Jul 31 at 23:13










  • Sorry for being unclear. The line is a straight line. I've updated the diagram for more clarity hopefully. Gimusi is close to what I want.
    – Natural Number Guy
    Jul 31 at 23:16










  • @NaturalNumberGuy gimusi's answer is correct if the pattern repeats identically outside the visible box, which you haven't made clear.
    – Arnaud Mortier
    Jul 31 at 23:19

















  • The OP shows only a small part of the line, there is no way to answer the actual question being asked.
    – Arnaud Mortier
    Jul 31 at 23:09










  • @ArnaudMortier I’m assuming that the pattern will repeat and at an infinite length the slope is equal to 3/2. I cannot see anybother interpretation of the OP.
    – gimusi
    Jul 31 at 23:11











  • I tried asking additional details and although the answer wasn't clear, I'm almost certain that this is not the case.
    – Arnaud Mortier
    Jul 31 at 23:13










  • Sorry for being unclear. The line is a straight line. I've updated the diagram for more clarity hopefully. Gimusi is close to what I want.
    – Natural Number Guy
    Jul 31 at 23:16










  • @NaturalNumberGuy gimusi's answer is correct if the pattern repeats identically outside the visible box, which you haven't made clear.
    – Arnaud Mortier
    Jul 31 at 23:19
















The OP shows only a small part of the line, there is no way to answer the actual question being asked.
– Arnaud Mortier
Jul 31 at 23:09




The OP shows only a small part of the line, there is no way to answer the actual question being asked.
– Arnaud Mortier
Jul 31 at 23:09












@ArnaudMortier I’m assuming that the pattern will repeat and at an infinite length the slope is equal to 3/2. I cannot see anybother interpretation of the OP.
– gimusi
Jul 31 at 23:11





@ArnaudMortier I’m assuming that the pattern will repeat and at an infinite length the slope is equal to 3/2. I cannot see anybother interpretation of the OP.
– gimusi
Jul 31 at 23:11













I tried asking additional details and although the answer wasn't clear, I'm almost certain that this is not the case.
– Arnaud Mortier
Jul 31 at 23:13




I tried asking additional details and although the answer wasn't clear, I'm almost certain that this is not the case.
– Arnaud Mortier
Jul 31 at 23:13












Sorry for being unclear. The line is a straight line. I've updated the diagram for more clarity hopefully. Gimusi is close to what I want.
– Natural Number Guy
Jul 31 at 23:16




Sorry for being unclear. The line is a straight line. I've updated the diagram for more clarity hopefully. Gimusi is close to what I want.
– Natural Number Guy
Jul 31 at 23:16












@NaturalNumberGuy gimusi's answer is correct if the pattern repeats identically outside the visible box, which you haven't made clear.
– Arnaud Mortier
Jul 31 at 23:19





@NaturalNumberGuy gimusi's answer is correct if the pattern repeats identically outside the visible box, which you haven't made clear.
– Arnaud Mortier
Jul 31 at 23:19



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