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Relay method complex but highly efficient

#1 User is offline   benlessard 

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Posted 2008-April-10, 02:35

Ive already post this 2-3 years ago on BBO forum but nobody did understand or nobody was interested.

1C ! strong----???

you have a GF balanced hand and decided that 2D to 3S is reserved for balanced hand with GF values.

1-3334
2-3343
3-3343
4-4333

5-2344
6-2434
7-2443

8-3244
9-4243
10-4234

11-3424
12-4324
13-4423

14-3442
15-4342
16-4432

17-2335
18-3235
19-3325

20-2353
21-3253
22-3352

The order you want to put it is your choice. But youll need to memorize it.

Now
2D=A
2H=B
2S=C
2Nt=D
3C=E
3D=F
3H=G


A=(+1) the + is very important
B=(+2) the + is very important
C=(+3) the + is very important

D=1 (there is no+)
E=4
F=9
G=14
H=19

Lets says you have 3253 wich is hand number 21.
By looking at the letter we see that the way to make 21 = (+2)+19

So we start by B (+2)

1C-----2H (B or +2)
2S©----3S(H or 19)

The 2S by partner is only a relay but still take the letter "C"

If you have hand 13 /4432/
the way to make 13 is (+1)(+3)(+9)

1C-----2D (A == +1)
2H(B)----2S(C == +3)
2Nt(E)-----3C(F == 9)

For a 2suiter its the same thing

1H------------1S (relay)
1Nt (clubs)----2D (art GF)
???

1S-------------1Nt (relay)
2C (diamonds)--2H(art Gf)

1S-------------1Nt (relay)
2D (hearts)-----2Nt (art GF)

the hands are

5422 ==1
5431 ==2
5413 ==3
5440*==4
5521 ==5
5512 ==6
5530 ==7
5503 ==8
6421 ==9
6412 ==10
6430 ==11
6403 ==12
6511 ==13
6520 ==14
6502 ==15
7411 ==16
7420 ==17
7402 ==18
6601 ==19
6610 ==20
7501 ==21
7510 ==22

You have a 6430 wich is hand number 10.

partner just Gf at 2D so...
2H=A
2S=B
2Nt=C
3C=D
3D=E
3H=F
3S=G

2D (GF)------2H (A==+1)
2S (B)-------3H (F==9)

Lets say you have a 7402 and are lucky enough that opps dont interfere.

7402= 18

to make 18 its (+1) (+3) and 14
so its A=C=G

2D (GF)------2H (A==+1)
2S (B)-------2Nt (C==+3)
3C (D)------ 3S (G == 14)

and voila youve just showned a 7402 under 3Nt.

The chart for one suiter can be something like

6322 ==1
6232 ==2
6223 ==3
6331 ==4
6313 ==5
6133 ==6
7321 ==7
7312 ==8
7231 ==9
7213
7330
7303
7033
8221
8212
8122
8311
8313
8133
80??
8?0?
8??0

If you are not able to Gf early you can play a simpler variant. Wich is probably more practical.

A=+1
B=+2

C=1
D=3
E=6
F=9
G=12
H=15

So if you you have hand number 11

its B (+2) and F(9)

Partner bid X (GF) -----you bid X+2 (B)
he bid X+3( relay C)------you bid X+6 (F)

Feel free for any questions or comments.
From Psych "I mean, Gus and I never see eye-to-eye on work stuff.
For instance, he doesn't like being used as a human shield when we're being shot at.
I happen to think it's a very noble way to meet one's maker, especially for a guy like him.
Bottom line is we never let that difference of opinion interfere with anything."
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#2 User is offline   Echognome 

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Posted 2008-April-10, 02:45

Not that I followed all that (symmetric seems much easier in terms of rules to memorize), but where are your 3-suiters? 4441s and 5440s.
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#3 User is offline   matmat 

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Posted 2008-April-10, 02:59

Echognome, on Apr 10 2008, 03:45 AM, said:

Not that I followed all that (symmetric seems much easier in terms of rules to memorize), but where are your 3-suiters? 4441s and 5440s.

that distribution is not allowed when playing this system.
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#4 User is offline   Free 

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Posted 2008-April-10, 03:28

Interesting concept, but you're reinventing the wheel imo. Symmetric relay is extremely efficient and easy to memorize...
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#5 User is offline   benlessard 

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Posted 2008-April-10, 04:29

Quote

Symmetric relay is extremely efficient and easy to memorize

Easy to memorize ok but extremely efficient no.
In term of effiency there is no comparaison between symmetric relay and what ive post. Pick 8 random hand (without or after the reverser) and you will see . As for the 5440 ive put an * because sometimes there is none and sometimes there should be 2 of them. For simplicty we always carry 1 and only 1(the void is 1 under the 4 card suit)

5S+4H = only 5404 is possible.
5S+4D = only 5440 is possible
5S+4C = only 5044 is possible

5H+4S = 4504
5H+4D = 4540
5H+4C = 0544

As for the 4441 we are responding 1D or opening 1D with them. But we could treat them like 2 suiters. Just that with a structure like mine exception are a pain.
From Psych "I mean, Gus and I never see eye-to-eye on work stuff.
For instance, he doesn't like being used as a human shield when we're being shot at.
I happen to think it's a very noble way to meet one's maker, especially for a guy like him.
Bottom line is we never let that difference of opinion interfere with anything."
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Posted 2008-April-10, 05:19

benlessard, on Apr 10 2008, 11:29 AM, said:

Quote

Symmetric relay is extremely efficient and easy to memorize

Easy to memorize ok but extremely efficient no.
In term of effiency there is no comparaison between symmetric relay and what ive post. Pick 8 random hand (without or after the reverser) and you will see . ~snip~

The way you can compare relay systems is the sum of frequency * level for all possible distributions. For example, if you start of showing 5+-4+, at what step do you have the right distribution.

The normal start of a 2-suiter is 54+ with the longest suit known. In symmetric relay it goes:
A = 55+ (now B = relay ; C = high shortage, D = 6511, E = 5521,...)
B = high shortness
C = 5422
D = 5431 low shortness (+ 6511)
E = 6421 low shortness (+ 5521, 5512)
F = 6430 low shortness (+ 5530, 5503)
G = 7420 low shortness
(...)

Your method goes:
ABC = +1, +2, +3
D = 5422
E = 5431 low shortness (+ 5521, 5512, 5530, 5503)
F = 5431 high shortness (+ 6421, 6412, 6430, 6403, 6511)
...

Where do you see the better efficiency? Only the 5530's are bid lower in your method.

In function of frequency, symmetric wins huge on the frequent hands:
5422 = +1 step
5431 = +1.5 steps (1 or 2 depending on the shortness - so 50%)
6421 = +1 step
5521 = equal
5530 = -1 step
6511 = +2 steps
Your method can probably catch up one or several steps for wild hands, but that's negligible compared to the frequency of these hands (not to mention the chance you'll get to just relay out when you have such a freak B) ). So I'd say your 2-suited scheme is not as great as you might think. Comparing the singlesuiters will probably result in a similar conclusion.

This doesn't mean your system can't be more efficient than another system. If you can start this scheme at 2 while another system would have to start at 2, you gain bigtime. But using symmetric relays at 2 would be even more efficient ofcourse. B)

One important thing I noticed: your 'simpler variant' is more efficient than your standard version! (and may be more efficient than symmetric even - depends on the frequency of certain hands)
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#7 User is offline   dake50 

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Posted 2008-April-10, 10:52

So, an indexing function to a 'data base' of bal GF hands.
Add an index function for 4x singletons; 4x voids; 6x 2-suiters. With, of course, re-indexing that modified data base, eg. bal except for single Spade, or 2-suiter with single Spade.
A theoretical exercise I enjoy. But esoteric except to information theorists, isn't it ?
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#8 User is offline   jdonn 

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Posted 2008-April-10, 10:56

benlessard, on Apr 10 2008, 03:35 AM, said:

1C ! strong----???

you have a GF balanced hand and decided that 2D to 3S is reserved for balanced hand with GF values.

I stopped reading after that point. That is such a waste of bids I can barely contain myself. What an inefficient use of precious space!
Please let me know about any questions or interest or bug reports about GIB.
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#9 User is offline   awm 

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Posted 2008-April-10, 12:56

It seems like with this method the relay is sometimes not the cheapest step (see the sequences for two suiters). This obviously loses some efficiency. What are the other steps used for?

Symmetric uses the same amount of space for balanced hands, just gets there differently (starts 1NT then 2-3 in symmetric, or starts 1 then 2-3 in transfer-oriented version).

It does seem like immediately showing balanced shape is poorly thought out -- say opponents are going to crash the auction after the response; if opener knows responder is balanced GF he usually can make an okay decision without the exact shape (so squishing the balanced hands into one bid to unroll later is no big deal) whereas a distributional responder hand (i.e. responder has "clubs") will be harder to deal with. Also, the balanced hand type is a good time for opener to use a relay break and describe his own hand if he has shape (another reason to keep balanced hands low on first response).
Adam W. Meyerson
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#10 User is offline   glen 

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Posted 2008-April-10, 14:11

jdonn, on Apr 10 2008, 12:56 PM, said:

benlessard, on Apr 10 2008, 03:35 AM, said:

1C ! strong----???

you have a GF balanced hand and decided that 2D to 3S is reserved for balanced hand with GF values.

I stopped reading after that point. That is such a waste of bids I can barely contain myself. What an inefficient use of precious space!

You could think of it as 1-1NT(GF bal)-2(ask)-then 2 etc. following the +chart+
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#11 User is offline   jdonn 

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Posted 2008-April-10, 14:23

officeglen, on Apr 10 2008, 03:11 PM, said:

jdonn, on Apr 10 2008, 12:56 PM, said:

benlessard, on Apr 10 2008, 03:35 AM, said:

1C ! strong----???

you have a GF balanced hand and decided that 2D to 3S is reserved for balanced hand with GF values.

I stopped reading after that point. That is such a waste of bids I can barely contain myself. What an inefficient use of precious space!

You could think of it as 1-1NT(GF bal)-2(ask)-then 2 etc. following the +chart+

That is true but it's really not my point. It's a hand that should be shown using one bid since so often opener either doesn't care at all what the shape is, or only cares about one aspect (3 card support for a major, for example). This method uses tons of bids to give information that will so often help the opponents. It would also require shapely hands to start much lower, which puts them at huge risk of preemption. Perhaps inefficient wasn't the right word though.
Please let me know about any questions or interest or bug reports about GIB.
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#12 User is offline   gwnn 

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Posted 2008-April-10, 14:24

Apparently Dr. Roy Kerr solved some mathematical physics problems that Einstein could not have solved.

Dr. Roy Kerr designed Symmetric Relay.

erm...
... and I can prove it with my usual, flawless logic.
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#13 User is offline   the hog 

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Posted 2008-April-10, 21:33

jdonn, on Apr 10 2008, 11:56 PM, said:

benlessard, on Apr 10 2008, 03:35 AM, said:

1C ! strong----???

you have a GF balanced hand and decided that 2D to 3S is reserved for balanced hand with GF values.

I stopped reading after that point. That is such a waste of bids I can barely contain myself. What an inefficient use of precious space!

I totally agree with Josh. Ben, playing that many bids to show balanced hands is a ridiculous waste of space and unbelievably inefficient. WHY?
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#14 User is offline   benlessard 

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Posted 2008-April-10, 23:29

Im not fond of relaying balanced hand so this was purely an example.

Quote

You could think of it as 1♣-1NT(GF bal)-2♣(ask)-then 2D etc. following the +chart+

that why ive started as 2D.

In symmetric relay the hands that are showned 0,0,2,3,3,3,3 in my method its 0,0,0,3,5,5,5 if there is an ensemble of less then 13 hands my method isnt optimal with more then 13 my method take the upper hands.

Quote

Your method goes:
ABC = +1, +2, +3
D = 5422
E = 5431 low shortness (+ 5521, 5512, 5530, 5503)
F = 5431 high shortness (+ 6421, 6412, 6430, 6403, 6511)

5431 & 5413 is also at D (D,ABD & BCD)
Under E or at E i have showned 8 hand wich is the same of sym relay.
(D,ABD & BCD) + E,AE,BE+CE+ACE
At F ive showned 13 hand, all the previous+F,AF,BF,CF,ACF
At G ive showned 18 hands wich is 4 more then symm relay. Also the frequency is where my method gain because my hand are in frequency order wich is not always the case in symm relay. Unless im wrong the 5512 exit at 2S while the 5431 are at 2nt.

a recap to show you where i exit the hands if my first possible bid is 2D (A=2D)

2Nt= 5422+5431+5413
3C= 5440+5521+5512+5530+5503
3D= 6421+6412+6430+6403+6511
3H=6520+6502+7411+7420+7402

Do the same with symm relay and you will see.
From Psych "I mean, Gus and I never see eye-to-eye on work stuff.
For instance, he doesn't like being used as a human shield when we're being shot at.
I happen to think it's a very noble way to meet one's maker, especially for a guy like him.
Bottom line is we never let that difference of opinion interfere with anything."
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#15 User is offline   awm 

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Posted 2008-April-11, 00:04

It's not clear what's going on because you need to explain how responder shows his two suits and indicates which is longer. It's not going to be the case that your A step on two suiters is 2 because that would mean you can somehow always show two suits and indicate which is longer than the other and still have opener's next relay at 2. There 12 possible suit pairs (4 longer, then 3 shorter) and not nearly so many sequences where opener's relay is 2.

Assuming you start in roughly the same style as transfer-oriented symmetric, let's take some example hands:

5-4-3-1

Both start 1 (spades) .... 2 (diams) .... now 2 shows the reverser so I guess 2 is step A. 5-4-3-1 is 2 on your chart, so you need to bid A (2) followed by D (3). So you resolve this shape at 3. So does symmetric.

5-5-2-1

Same start, again 2 is step A. Total is 4 (disallow 5440 hands, they are bid via a different start) so you need to bid now E (3). You resolve this shape at 3 and so does symmetric.

6-4-2-1

Same start, again 2 is step A. Total now is 9, so you need to bid F (3). You resolve this shape at 3 and symmetric resolves the same shape at 3.

6-5-0-2

Same start, again 2 is step A. Total now is 14, so you need to bid G (3NT). You resolve this shape at 3NT and symmetric resolves the same shape at 4.

Basically, you are doing roughly the same as symmetric on these hands. However:

(1) You generally do slightly better on the very rare shapes and slightly worse on the very common shapes. This is bad.

(2) The scheme seems more complex/harder to remember than symmetric.
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#16 User is offline   benlessard 

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Posted 2008-April-11, 05:10

Quote

It's not clear what's going on because you need to explain how responder shows his two suits and indicates which is longer. It's not going to be the case that your A step on two suiters is 2♦ because that would mean you can somehow always show two suits and indicate which is longer than the other and still have opener's next relay at 2♣. There 12 possible suit pairs (4 longer, then 3 shorter) and not nearly so many sequences where opener's relay is 2♣.

Agree this was just an example to show a 2 suiter after or without the reverser. There is of course no practical need to exit a 7402 at 3H.

Quote

(1) You generally do slightly better on the very rare shapes and slightly worse on the very common shapes. This is bad.
The word slightly is adequate, however showing the common shape earlier isnt that much important compared to showing some critical shapes earlier. If you prefer to go by odds tables the 6421 is before the 5530 and before the 5440 but a 6421 suggest 2 trumps suit while a 5530/5440 suggest 3 trumps suit, a case can be said for showing tough 3suiters shapes before common ones. Anyway the fact that you can put the shapes everyway you want is a nice feature of my method.

Remembering A=+1,B=+2,C=+3,D=1,E=4,F=9,G=14 H=19 is easy. The table isnt that hard if you already know your odds tables. For example i can easily do a chart without the reverser

1C---1H (pos with S)
1S?---2C(diamonds could be 4S+longer diamonds)
2D ?----

Now 2H is A and 2S is B but there is no reverser. Put purely in odds frequency and without 3-suiter. First column is my method 2nd is symmetric relay(reverser needed with longer D)

S+D 2 suiter/no 3 suiters


5422=D........3C.......3C
4522=AD......3C.....3D reverser followed by +3
5431=BD......3C.....3D directly= low shortness
4531=E........3D......3D reverse+directly
5413=AE......3D......3D high short follwed by step1
4513=BE......3D......3D reverse +high short +step1
5521=CE......3D......3H
5512=ACE....3D......3D or 3H im not sure
6421=F........3H.......3H
4621=AF......3H.......3H
6412=BF......3H.......3H
4612=CF......3H.......3H
5530=ACF....3H.......
5503=G........3S.......
6430=AG......3S.......
4630=BG......3S.......
6403=CG......3S.......
4603=ACG....3S.....
6511=H......3nt.........
5611=AH......3nt.......
6520=BH......3nt.......
5620=CH......3nt.......
6502=ACH......3nt.......
5602=I......4C.......

My practice isnt that good with Symm relay so im sure ive made some mistakes. Please double check and finish the chart if you please thanks in advance.
From Psych "I mean, Gus and I never see eye-to-eye on work stuff.
For instance, he doesn't like being used as a human shield when we're being shot at.
I happen to think it's a very noble way to meet one's maker, especially for a guy like him.
Bottom line is we never let that difference of opinion interfere with anything."
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Posted 2008-April-11, 07:28

benlessard, on Apr 11 2008, 06:29 AM, said:

Im not fond of relaying balanced hand so this was purely an example.

Quote

You could think of it as 1♣-1NT(GF bal)-2♣(ask)-then 2D etc. following the +chart+

that why ive started as 2D.

In symmetric relay the hands that are showned 0,0,2,3,3,3,3 in my method its 0,0,0,3,5,5,5 if there is an ensemble of less then 13 hands my method isnt optimal with more then 13 my method take the upper hands.

Quote

Your method goes:
ABC = +1, +2, +3
D = 5422
E = 5431 low shortness (+ 5521, 5512, 5530, 5503)
F = 5431 high shortness (+ 6421, 6412, 6430, 6403, 6511)

5431 & 5413 is also at D (D,ABD & BCD)
Under E or at E i have showned 8 hand wich is the same of sym relay.
(D,ABD & BCD) + E,AE,BE+CE+ACE
At F ive showned 13 hand, all the previous+F,AF,BF,CF,ACF
At G ive showned 18 hands wich is 4 more then symm relay. Also the frequency is where my method gain because my hand are in frequency order wich is not always the case in symm relay. Unless im wrong the 5512 exit at 2S while the 5431 are at 2nt.

a recap to show you where i exit the hands if my first possible bid is 2D (A=2D)

2Nt= 5422+5431+5413
3C= 5440+5521+5512+5530+5503
3D= 6421+6412+6430+6403+6511
3H=6520+6502+7411+7420+7402

Do the same with symm relay and you will see.

Ok, looks like I made an error :) Still I share the opinion that you're losing (slightly) on common hand types. Your simpler variant does not because you save a step (the +3) so common hands are bid an entire step lower. The really extreme shapes can still be bid pretty low (step H = 3NT when you can start at 2) but then again, I'll argue that these will get rarely patterned out. I've played symmetric relays for years now, and only once I had a problem: I held a 9220 and opps didn't intervene after my partner's strong 1 opening... In every other case where I had an 8-card suit or a 6-6, opponents intervened and relays were off.

So I think in practice, the simpler variant is supreme. In theory, no idea :)
It also depends on how high you can start relaying: if you start at 2, the normal version may be better (to always stay below 3NT if you prefer this).
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#18 User is offline   benlessard 

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Posted 2008-April-11, 22:01

I also made a mistake saying symm werent highly efficient. Both ways are efficient and the difference are minimal. Question regarding symm when you are using the reverser (there is no 55 right) its only high shortage and low shortage (in a direct way?) if so where is the 5611 ?
From Psych "I mean, Gus and I never see eye-to-eye on work stuff.
For instance, he doesn't like being used as a human shield when we're being shot at.
I happen to think it's a very noble way to meet one's maker, especially for a guy like him.
Bottom line is we never let that difference of opinion interfere with anything."
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#19 User is offline   jdonn 

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Posted 2008-April-11, 22:18

benlessard, on Apr 11 2008, 11:01 PM, said:

I also made a mistake saying symm werent highly efficient. Both ways are efficient and the difference are minimal. Question regarding symm when you are using the reverser (there is no 55 right) its only high shortage and low shortage (in a direct way?) if so where is the 5611 ?

After 2 suits, 2 is reverser, 2 is 5-5 with its own track. 2NT+ (with or without 2 first - ergo the symmetry!) is all the 4, 5+ hands.
Please let me know about any questions or interest or bug reports about GIB.
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Posted 2008-April-12, 05:16

benlessard, on Apr 12 2008, 05:01 AM, said:

I also made a mistake saying symm werent highly efficient. Both ways are efficient and the difference are minimal. Question regarding symm when you are using the reverser (there is no 55 right) its only high shortage and low shortage (in a direct way?) if so where is the 5611 ?

6-5 is considered 55+. In the 55+ scheme we have:
A = high shortage
B = 6511 or 5611 (if possible)
C = 5521
D = 5530
E = 6520
F = 5620 (if possible)

The rest of the 2-suited scheme is, like Josh says, with exactly a 4 card in one suit, and 5+ in the other, with or without the reverser.
"It may be rude to leave to go to the bathroom, but it's downright stupid to sit there and piss yourself" - blackshoe
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