[next] [prev] [up] Date: Fri, 11 Nov 94 21:04:45 -0500
[next] [prev] [up] From: Jerry Bryan <BRYAN@wvnvm.wvnet.edu >
[next] [prev] [up] Subject: Re: <U, R> Searches
On 11/11/94 at 15:36:00 mark.longridge@canrem.com said:

Well, that explains the fact you counted the number of antipodes but
had no processes for them, but do you know what they look like?
If you can tell me what one of the 87 positions at 25 q turns
looks like, I should be able to generate a sequence for it.

The 87 positions correspond to 27 antipodes which are
unique up to W-conjugacy. Here they are:

-----------------------------------------------------

BRL                      BRL                      BRU
BBU                      BBU                      BBF
LBF                      RBF                      LBR

UDR                      FDU                      UBD
BUU                      BUU                      DUU
FUB                      FUR                      UUF
FRD RFR DRU              URD RFB URL              FRB LFD RLB
LLL FFF RRB              LLL FFF RRB              LLL FFU RRR
LLL FFB RLU              LLL FFD RLU              LLL FFF UBR
DDU                      DDB                      DDR
DDU                      DDU                      DDU
DDB                      DDB                      DDB
-----------------------------------------------------------
BRU                      BRR                      BBU
BBF                      BBU                      BBF
DBR                      BBB                      FBD

FDU                      RDL                      LUB
UUB                      FUB                      UUU
BUR                      RUL                      LUF
RBR DFB URF              URU FFF URU              ULU BFD RRR
LLL FFU LRR              LLL FFU LRR              LLL FFB RRR
LLL FFL BRL              LLL FFR BBF              LLL FFU RRR
DDU                      DDD                      DDF
DDU                      DDU                      DDD
DDF                      DDD                      DDB
--------------------------------------------------------
BRR                      BLU                      BRB
BBU                      BBU                      BBU
LBD                      RBF                      FBF

UDB                      DUR                      UFD
UUF                      FUD                      DUU
UUR                      BUU                      UUR
FRB LFF DRR              FRR DFR BRU              RRL FLB URR
LLL FFB RRB              LLL FFB RRR              LLL FFU FRB
LLL FFU RLB              LLL FFU LBL              LLL FFB URR
DDF                      DDB                      DDL
DDU                      DDU                      DDB
DDU                      DDF                      DDD
--------------------------------------------------------
BFR                      BRR                      BRL
BBF                      BBU                      BBU
FBR                      UBU                      DBF

LUB                      FFF                      FFR
UUU                      DUU                      DUU
RBR                      BBB                      DBR
ULD BRU FRU              LRL URU RRR              RRB RRB URU
LLL FFU BRR              LLL FFU BRF              LLL FFU BRF
LLL FFB URF              LLL FFR BLF              LLL FFU LLF
DDL                      DDD                      DDB
DDD                      DDU                      DDU
DDD                      DDD                      DDU
--------------------------------------------------------
BRR                      BRF                      BRF
BBU                      BBU                      BBU
UBU                      FBF                      FBF

FFF                      RDR                      RDR
UUU                      FUU                      FUU
BBB                      DBR                      BBR
LRL URU RLR              DRB RRB URU              DRR DRB URU
LLL FFU BRF              LLL FFU BRL              LLL FFU BRL
LLL FFR BRF              LLL FFU LFU              LLL FFL BFU
DDD                      DDB                      DDU
DDD                      DDU                      DDU
DDD                      DDL                      DDL
--------------------------------------------------------
BRF                      BRR                      BRR
BBU                      BBU                      BBU
DBL                      UBR                      FBD

RFU                      FFB                      RDB
UUD                      DUU                      FUU
RBR                      RBF                      UBL
BRF DRB URB              LRD BRR UBU              DRB LRF URR
LLL FFU BRL              LLL FFU RRL              LLL FFU FRB
LLL FFU RFU              LLL FFB UFF              LLL FFR ULU
DDF                      DDL                      DDB
DDU                      DDU                      DDU
DDL                      DDD                      DDF
--------------------------------------------------------
BRB                      BRU                      BRU
BBU                      BBU                      BBU
FBL                      RBF                      BBR

RDF                      BFR                      UUU
FUU                      DUU                      DUF
UBB                      FBU                      UBD
DRF RRL URU              DRD RRL FLU              LRL FRR FRF
LLL FFU FRB              LLL FFU FRB              LLL FFU FRB
LLL FFD RLU              LLL FFB URR              LLL FFD RLR
DDB                      DDL                      DDB
DDU                      DDU                      DDU
DDR                      DDB                      DDB
--------------------------------------------------------
BRB                      BFB                      BRD
BBU                      BBF                      BBU
UBU                      UBD                      LBF

BUF                      RUR                      UBR
DUF                      DUU                      DUU
UBU                      UBR                      UFR
RRB LRL FRR              FRL FRB URF              FRB LRB URU
LLL FFU FRB              LLL FFU LRR              LLL FFU FRB
LLL FFF RLR              LLL FFB UBR              LLL FFD RLR
DDD                      DDL                      DDB
DDU                      DDU                      DDU
DDD                      DDD                      DDF
--------------------------------------------------------
BFD                      BFF                      BFR
BBF                      BBF                      BBF
BBB                      UBF                      LBR

RUL                      FUR                      UUD
UUU                      UUU                      UUU
RUL                      BUR                      UUD
URU FBF ULU              LRL UBB ULU              FRB LBR FLB
LLL FFB RRR              LLL FFB RRR              LLL FFB RRR
LLL FFD RRR              LLL FFB DRD              LLL FFR FRB
DDB                      DDR                      DDU
DDD                      DDD                      DDD
DDF                      DDR                      DDU
 = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =
Robert G. Bryan (Jerry Bryan)              (304) 293-5192
Associate Director, WVNET                  (304) 293-5540 fax
837 Chestnut Ridge Road                     BRYAN@WVNVM
Morgantown, WV 26505                        BRYAN@WVNVM.WVNET.EDU

If you don't have time to do it right today, what makes you think you are
going to have time to do it over again tomorrow?


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