Structure of Romantic and Sexual relationship

In summary, the sociological survey conducted in Jefferson High school found that there is a lot of romantic and sexual activity going on amongst students. There are a lot of connected relationships amongst the students. It seems that the best place to find people to date are amongst friends of friends.
  • #71
wrongusername said:
... why are there no trapezoids?

KingNothing said:
... does it not strike anyone else as a bit odd that this whole thing turned out to be planar?

Indeed. Where are the concave polygons, dodecahedra, and 4-dimensional hypercubes? Clearly the data has been doctored with.
 
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  • #72
Redbelly98 said:
Indeed. Where are the concave polygons, dodecahedra, and 4-dimensional hypercubes? Clearly the data has been doctored with.

Funny man, but I'm actually serious about the graph being 100% planar. It does seem strange to me, although I can't quite figure out what it means for sex.
 
  • #73
KingNothing said:
Funny man, but I'm actually serious about the graph being 100% planar. It does seem strange to me, although I can't quite figure out what it means for sex.

Were you hoping for a 3D pornographic picture of students having sex? :tongue2:

A 2D graph is enough to explain this relationship. We understand the 6 month time dimension is not shown here. Is that what you are talking about?
 
  • #74
I think the question is it's curious that you can draw all those figures and avoid having to cross lines. For example, how would yo do this with a group of five people, all of who have had sex with each other?
 
  • #75
I see KingNothing's point. There could theoretically be groups of relationships that cannot be represented without crossing lines (or without requiring a third dimension to the graph).

Following OfficeShredders lead, I was about to ask what the simplest group of relationships is. OfficeShredder went for the group of five, but he missed the simpler one: 4 people. i.e. a tetrahedron.

4 people, all of whom have had romantic relationships with each other, cannot be represented in only 2 dimensions without crossing lines.

And that sheds light on the answer to KingNothing's point. This simplest relationship requires some statistically highly unlikely connections. 4 people all having had relationships with each other is unlikely enough, but to do so, it requires a minimum of two same-sex relationships.

Code:
  M
 /|\
F-+-F
 \|/
  M
 
  • #76
DaveC426913 said:
Following OfficeShredders lead, I was about to ask what the simplest group of relationships is. OfficeShredder went for the group of five, but he missed the simpler one: 4 people. i.e. a tetrahedron.

4 people, all of whom have had romantic relationships with each other, cannot be represented in only 2 dimensions without crossing lines.

And that sheds light on the answer to KingNothing's point. This simplest relationship requires some statistically highly unlikely connections. 4 people all having had relationships with each other is unlikely enough, but to do so, it requires a minimum of two same-sex relationships.

Code:
  M
 /|\
F-+-F
 \|/
  M

No, K_4 is planar:


Code:
  M
 / \\
F---F|
 \ //
  M

Kuratowski's theorem says that a graph is planar iff it avoids K_5 (OfficeShredder's example) and K_3,3. I can't conveniently ASCII art K_3,3 for you, but it's much easier to imagine in this context since doesn't require homosexual relationships.
 
  • #77
CRGreathouse said:
No, K_4 is planar:


Code:
  M
 / \\
F---F|
 \ //
  M

Kuratowski's theorem says that a graph is planar iff it avoids K_5 (OfficeShredder's example) and K_3,3. I can't conveniently ASCII art K_3,3 for you, but it's much easier to imagine in this context since doesn't require homosexual relationships.

Oh, right. I had a hidden assumption of using only straight lines.

I don't know Kuratowskian math, but reading up on it, I can see that there are some groups that cannot be made, even allowing for circuitous paths. This seems highly reminescent of the 5 house puzzle. (Shoot, I can't remember what it's called. It the one where you have to join 5 people to 5 houses without any paths crossing.)
 
  • #78
Minor (ha, ha) correction: planar graphs can't contain K_5 or K_3,3 or any subdivision of either. (Obvious only in my own head.)

DaveC426913 said:
I can see that there are some groups that cannot be made, even allowing for circuitous paths.

Well you can make them, just not on a plane without crossing.K_3,3 could be three males and three females, where each person is adjacent to/has had a romantic relationship with everyone of the opposite sex.
 
<h2>What is the difference between romantic and sexual relationships?</h2><p>Romantic relationships involve emotional connections, while sexual relationships involve physical intimacy. However, the two can overlap and often coexist in a healthy relationship.</p><h2>What are the key components of a healthy romantic and sexual relationship?</h2><p>Communication, trust, respect, and mutual understanding are essential components of a healthy romantic and sexual relationship. It is also important to have a strong emotional and physical connection with your partner.</p><h2>How do societal norms and cultural influences impact romantic and sexual relationships?</h2><p>Societal norms and cultural influences can greatly influence the expectations and dynamics of romantic and sexual relationships. These influences can shape our beliefs and behaviors, as well as impact the way we view and approach relationships.</p><h2>What are some common challenges in romantic and sexual relationships?</h2><p>Some common challenges in romantic and sexual relationships include communication issues, trust issues, and differences in values and expectations. Other challenges may arise from external factors such as stress, financial difficulties, or family conflicts.</p><h2>How can individuals maintain a healthy balance between their romantic and sexual relationships?</h2><p>Maintaining a healthy balance between romantic and sexual relationships requires open and honest communication, setting boundaries, and prioritizing self-care. It is also important to make time for both partners and to work together to find a balance that works for both individuals.</p>

What is the difference between romantic and sexual relationships?

Romantic relationships involve emotional connections, while sexual relationships involve physical intimacy. However, the two can overlap and often coexist in a healthy relationship.

What are the key components of a healthy romantic and sexual relationship?

Communication, trust, respect, and mutual understanding are essential components of a healthy romantic and sexual relationship. It is also important to have a strong emotional and physical connection with your partner.

How do societal norms and cultural influences impact romantic and sexual relationships?

Societal norms and cultural influences can greatly influence the expectations and dynamics of romantic and sexual relationships. These influences can shape our beliefs and behaviors, as well as impact the way we view and approach relationships.

What are some common challenges in romantic and sexual relationships?

Some common challenges in romantic and sexual relationships include communication issues, trust issues, and differences in values and expectations. Other challenges may arise from external factors such as stress, financial difficulties, or family conflicts.

How can individuals maintain a healthy balance between their romantic and sexual relationships?

Maintaining a healthy balance between romantic and sexual relationships requires open and honest communication, setting boundaries, and prioritizing self-care. It is also important to make time for both partners and to work together to find a balance that works for both individuals.

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