Author |
Topic: Bee Genealogy (Read 1331 times) |
|
yolinda
Newbie
Posts: 7
|
 |
Bee Genealogy
« on: Jan 12th, 2007, 1:27pm » |
 Quote  Modify
|
Male bees hatch from unfertilized eggs and so have a mother but no father. Female bees hatch from fertilized eggs. How many ancestors does a male bee have in the 12th generation back? How many of these are males?
|
|
 IP Logged |
|
|
|
SMQ
wu::riddles Moderator
Uberpuzzler
Gender: 
Posts: 2084
|
|
Re: Bee Genealogy
« Reply #1 on: Jan 12th, 2007, 1:47pm » |
Quote Modify
|
Quick by hand:
Gen 0: M
Gen 1: F
Gen 2: FM
Gen 3: FM F
Gen 4: FM F FM
Gen 5: FM F FM FM F
Gen 6: FM F FM FM F FM F FM
Gen 7: FM F FM FM F FM F FM FM F FM FM F
Gen 8: FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM
Gen 9: FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM FM F
Gen 10: FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM
Gen 11: FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM FM F
Gen 12: FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM FM F FM FM F FM F FM FM F FM F FM
So that's 233 ancestors in the 12th generation, of which 89 are male, if I didn't make any typing or counting errors...
--SMQ
|
|
IP Logged |
--SMQ
|
|
|
towr
wu::riddles Moderator
Uberpuzzler
Some people are average, some are just mean.
Gender:
Posts: 13730
|
|
Re: Bee Genealogy
« Reply #2 on: Jan 13th, 2007, 9:45am » |
Quote Modify
|
That's what I got too..
Code:| javascript:m=1,f=0; for(i=0; i<12;i++) {t=f; f=f+m; m=t;} alert([m,f]) |
|
|
|
IP Logged |
Wikipedia, Google, Mathworld, Integer sequence DB
|
|
|
Eigenray
wu::riddles Moderator
Uberpuzzler
Gender:
Posts: 1948
|
|
Re: Bee Genealogy
« Reply #3 on: Jan 13th, 2007, 10:15pm » |
Quote Modify
|
But what if the bees are incestuous (like rabbits are well known to be)?
|
|
IP Logged |
|
|
|
towr
wu::riddles Moderator
Uberpuzzler
Some people are average, some are just mean.
Gender:
Posts: 13730
|
|
Re: Bee Genealogy
« Reply #4 on: Jan 14th, 2007, 7:26am » |
Quote Modify
|
on Jan 13th, 2007, 10:15pm, Eigenray wrote:| But what if the bees are incestuous (like rabbits are well known to be)? |
|
Then there may be only one.
|
|
IP Logged |
Wikipedia, Google, Mathworld, Integer sequence DB
|
|
|
rmsgrey
Uberpuzzler
    
Gender:
Posts: 2873
|
|
Re: Bee Genealogy
« Reply #5 on: Jan 14th, 2007, 7:37am » |
Quote Modify
|
on Jan 14th, 2007, 7:26am, towr wrote:
Then there may be only one. |
|
Two. Every generation descends from at least one female, so every generation before the first has to have parents for a female - so you need both a male and a female.
Unless, of course, the hypothetical ancestor is a gymnastic incestuous hermaphrodite...
|
|
IP Logged |
|
|
|
towr
wu::riddles Moderator
Uberpuzzler
Some people are average, some are just mean.
Gender:
Posts: 13730
|
|
Re: Bee Genealogy
« Reply #6 on: Jan 14th, 2007, 8:26am » |
Quote Modify
|
on Jan 14th, 2007, 7:37am, rmsgrey wrote:| Two. Every generation descends from at least one female, so every generation before the first has to have parents for a female - so you need both a male and a female. |
|
Well, the generations might mix, mightn't they.
Queens can generally last more than one season/generation.
|
|
IP Logged |
Wikipedia, Google, Mathworld, Integer sequence DB
|
|
|
Eigenray
wu::riddles Moderator
Uberpuzzler
Gender:
Posts: 1948
|
|
Re: Bee Genealogy
« Reply #7 on: Jan 14th, 2007, 4:24pm » |
Quote Modify
|
We can replace non-incestuous bees, male and female, with highly incestuous rabbits, new-born and mature.
|
|
IP Logged |
|
|
|
towr
wu::riddles Moderator
Uberpuzzler
Some people are average, some are just mean.
Gender:
Posts: 13730
|
|
Re: Bee Genealogy
« Reply #8 on: Jan 15th, 2007, 1:34am » |
Quote Modify
|
If you want to get the same result, you'd have to look at future generations, not past ones.
|
|
IP Logged |
Wikipedia, Google, Mathworld, Integer sequence DB
|
|
|
Grimbal
wu::riddles Moderator
Uberpuzzler
Gender:
Posts: 7527
|
|
Re: Bee Genealogy
« Reply #9 on: Jan 15th, 2007, 3:58am » |
Quote Modify
|
on Jan 14th, 2007, 7:37am, rmsgrey wrote:
Two. Every generation descends from at least one female, so every generation before the first has to have parents for a female - so you need both a male and a female.
Unless, of course, the hypothetical ancestor is a gymnastic incestuous hermaphrodite... |
|
You could start with a single female that generates a male, and they together produce as many generation as you (er.. they) like.
|
|
IP Logged |
|
|
|
Ghost Sniper
Senior Riddler
Do not hide. It is useless.
Gender:
Posts: 599
|
|
Re: Bee Genealogy
« Reply #10 on: Jan 15th, 2007, 4:37pm » |
Quote Modify
|
on Jan 13th, 2007, 9:45am, towr wrote:That's what I got too..
Code:| javascript:m=1,f=0; for(i=0; i<12;i++) {t=f; f=f+m; m=t;} alert([m,f]) |
|
|
|
I just have one question. Why does everyone use java and not C++?
|
|
IP Logged |
*sob* I miss my mommy... *blows nose* huh, I'm on? oh right.
(thinks to self) Time for my speech to these college kids.
"Reason is more important than all emotions..."
|
|
|
Eigenray
wu::riddles Moderator
Uberpuzzler
Gender:
Posts: 1948
|
|
Re: Bee Genealogy
« Reply #11 on: Jan 15th, 2007, 5:12pm » |
Quote Modify
|
on Jan 15th, 2007, 1:34am, towr wrote:| If you want to get the same result, you'd have to look at future generations, not past ones. |
|
Yeah I know, but I was just surprised nobody mentioned the F-word.
|
|
IP Logged |
|
|
|
towr
wu::riddles Moderator
Uberpuzzler
Some people are average, some are just mean.
Gender:
Posts: 13730
|
|
Re: Bee Genealogy
« Reply #12 on: Jan 16th, 2007, 12:51am » |
Quote Modify
|
on Jan 15th, 2007, 4:37pm, hiyathere wrote:| I just have one question. Why does everyone use java and not C++? |
|
I didn't use java, I used javascript.
Because C/C++ doesn't run in my browser's location bar.
|
| « Last Edit: Jan 16th, 2007, 12:56am by towr » |
IP Logged |
Wikipedia, Google, Mathworld, Integer sequence DB
|
|
|
jollytall
Senior Riddler
Gender:
Posts: 585
|
|
Re: Bee Genealogy
« Reply #13 on: Jan 16th, 2007, 3:49am » |
Quote Modify
|
For a while i did not realise what the F-world was. Then I wrote up the list:
s1 = 1 (M)
s2 = 1 (F)
s3 = 2 (FM), that happens to be s1+s2
s4 = 3 (FM, F) what is nothing else the next steps after the two individual parts, i.e. F and M (s1, s2), so the next ones are s2 + s3
s5 = 5 (FM F FM). Again s4 we know is s2+s3 and so s5 can be derived as the next ones right after them (s3 + s4)
And so on
s6 = s4 + s5
s(n) = s(n-2) + s(n-1)
So it is that F. Now I only need Dr. Langdon to solve it.
|
|
IP Logged |
|
|
|
towr
wu::riddles Moderator
Uberpuzzler
Some people are average, some are just mean.
Gender:
Posts: 13730
|
|
Re: Bee Genealogy
« Reply #14 on: Jan 16th, 2007, 3:56am » |
Quote Modify
|
on Jan 16th, 2007, 3:49am, jollytall wrote:"Da Vinci Code"? At least that's what google seems to suggest; can't say I've read or watched it, or intend to..
|
|
IP Logged |
Wikipedia, Google, Mathworld, Integer sequence DB
|
|
|
Grimbal
wu::riddles Moderator
Uberpuzzler
Gender:
Posts: 7527
|
|
Re: Bee Genealogy
« Reply #15 on: Jan 16th, 2007, 4:57am » |
Quote Modify
|
Actually Sophie Neveu would be a better choice.
Yes, it was in Da Vinci Code, a riddle involving the Fibonacci sequence
|
|
IP Logged |
|
|
|
|
RIDDLES SITE
WRITE MATH!
Home 
Help 
Search 
Members 
Login 
Register
Reply
Notify of replies
Send Topic
Print