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Wed Apr 4, 2012, 12:35 AM

Mathematics of Sex [View all]

Last edited Wed Apr 4, 2012, 04:53 PM - Edit history (1)

My earlier thread on 'Oral Sex Etymology' appealed to one of the "Two Cultures" described by C. P. Snow. For proper balance, I thought it advisable to offer another thread which would appeal to the other "Culture", (i.e., nerdy, scientific types).

I shall grossly oversimplify the rich variety of human sexuality as follows: every person has one of two genders (M or F) and one of three orientations (S, G, or B). There are thus six types of people. Each entry in the following table is a '1' if the type of person indicated to the left can perform a particular act (designated by the letter 'C') on the type of person indicated above.

    |   M   |   F   |
  C | S G B | S G B |
____|_______|_______|
  S | 0 0 0 | 1 0 1 |
M G | 0 0 0 | 0 0 0 |
  B | 0 0 0 | 1 0 1 |
____|_______|_______|
  S | 0 0 0 | 0 0 0 |
F G | 0 0 0 | 0 1 1 |
  B | 0 0 0 | 0 1 1 |
____|_______|_______|

All the entries in the first three columns are zeros, because the act in question can only be performed on a female. All the entries in the fourth row are zeros, because a straight female would refuse to perform any sexual act on another female. Can you explain the other entries in the table?

Here are tables for two other acts that people sometimes perform on other people.

    |   M   |   F   |
  F | S G B | S G B |
____|_______|_______|
  S | 0 0 0 | 0 0 0 |
M G | 0 1 1 | 0 0 0 |
  B | 0 1 1 | 0 0 0 |
____|_______|_______|
  S | 1 0 1 | 0 0 0 |
F G | 0 0 0 | 0 0 0 |
  B | 1 0 1 | 0 0 0 |
____|_______|_______|


    |   M   |   F   |
  T | S G B | S G B |
____|_______|_______|
  S | 0 0 0 | 0 0 0 |
M G | 0 0 0 | 0 0 0 |
  B | 0 0 0 | 0 0 0 |
____|_______|_______|
  S | 0 0 0 | 0 0 0 |
F G | 0 0 0 | 0 1 1 |
  B | 0 0 0 | 0 1 1 |
____|_______|_______|

Easy questions: what do the letters 'C' and 'F' stand for?
Harder question: what does the letter 'T' stand for?


On edit: Following is an advanced topic which assumes you know how to multiply matrices.
The 6 by 6 matrices C and F are related by a similarity transformation:

C = A F A  and  F = A C A,

where A is another 6 by 6 matrix:
     _           _
    |             |
    | 0 0 0 1 0 0 |
    | 0 0 0 0 1 0 |
A = | 0 0 0 0 0 1 | .
    | 1 0 0 0 0 0 |
    | 0 1 0 0 0 0 |
    | 0 0 1 0 0 0 |
    |_           _|

The matrix A represents a permutation which replaces males with females, and vice versa, while preserving the orientations S, G, B defined earlier. The matrix A is symmetric and is its own inverse, i.e.,

A A = I,

where I is the identity matrix:
     _           _
    |             |
    | 1 0 0 0 0 0 |
    | 0 1 0 0 0 0 |
I = | 0 0 1 0 0 0 | .
    | 0 0 0 1 0 0 |
    | 0 0 0 0 1 0 |
    | 0 0 0 0 0 1 |
    |_           _|

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Lionel Mandrake Apr 2012 OP
CaliforniaPeggy Apr 2012 #1
Lionel Mandrake Apr 2012 #4
opiate69 Apr 2012 #2
Lionel Mandrake Apr 2012 #3
Dr. Strange Apr 2012 #5
Lionel Mandrake Apr 2012 #13
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Dr. Strange Apr 2012 #18
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Lionel Mandrake Apr 2012 #29
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Lionel Mandrake Apr 2012 #31
Dr. Strange Apr 2012 #32
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CreekDog Apr 2012 #20
Dr. Strange Apr 2012 #21
CreekDog Apr 2012 #22
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CreekDog Apr 2012 #24
Dr. Strange Apr 2012 #25
TZ Apr 2012 #26
Dr. Strange Apr 2012 #28
rug Apr 2012 #6
Lionel Mandrake Apr 2012 #15
JustABozoOnThisBus Apr 2012 #7
Lionel Mandrake Apr 2012 #10
MadrasT Apr 2012 #8
Shining Jack Apr 2012 #9
Lionel Mandrake Apr 2012 #12
MadrasT Apr 2012 #19
edbermac Apr 2012 #11
JustABozoOnThisBus Apr 2012 #16
Lionel Mandrake Apr 2012 #17