Subject: ackanomic digest V3 #347
From: [email-masked] (ackanomic digest)
To: [email-masked]

ackanomic digest       Saturday, October 3 1998       Volume 03 : Number 347

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

Date: Sat, 03 Oct 1998 00:59:20 -0400 (EDT)
From: Gabe Drummond-Cole <[email-masked]>
Subject: Acka: chesspieceface

Since my demon-nose is too lazy and short-attention-spanned to respond to
the creation of all the other noses individually, e does the following:

Smashes the chess-board-shaped one into tiny little bits, then glues it
back together into a mosaic of a pentagram

Finds some ugly off-white paint, paints the black one white, and then sets
it on fire.

Stomps on the green one until it squishes and exudes a stinky jelly-ish
chess-piece-innards-fluid

Runs in fear from K2's until e realizes that it isn't that scary, then
peels it like a banana and swallows it whole

Eats any noses that I might have missed

Amends the rules so that eating too many noses does not cause a tummyache

Amends the rules so that the official name of this nomic is demonnosenomic
and its official motto is "All hail the demon nose"
- --Anathema
  Dungeon Master - Religious Caste - Crazy French Scotsman - Really Weird

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

Date: Sat, 03 Oct 1998 01:40:40 -0400 (EDT)
From: [email-masked] (Dice server)
Subject: acka: alf's stats

- -----BEGIN PGP SIGNED MESSAGE-----

Dice rolls requested by: Gabe Drummond-Cole <[email-masked]>
Rolls also sent to:
    [email-masked]

# Alfvaen's Characteristic Rolls
# Str
# Int
# Wis
# Dex
# Con
# Cha
# Hubert
# Dungeon Masters are cool

No. of sides on every die:      6
No. of dice for every roll:     3
No. of dice rolls requested:    6
No. of rolls per line:          6

      8      5     14      5      8     10

Information on the dice server:
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Original message follows:
> From [email-masked]  Fri Oct  2 22:40:34 1998
> Received: (from smtp@localhost) by xkey.com
>       id WAA04408 for <[email-masked]>; Fri, 2 Oct 1998 22:40:34 -0700
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>       id sma004406; Fri Oct  2 22:40:27 1998
> Received: from nor-90-114 (nor-90-114.Reshall.Berkeley.EDU [169.229.90.114])
>       by uclink4.berkeley.edu (8.8.8/8.8.8) with SMTP id WAA07472
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> Date: Sat, 03 Oct 1998 01:45:27 -0400
> To: [email-masked]
> From: Gabe Drummond-Cole <[email-masked]>
> Subject: 
> Mime-Version: 1.0
> Content-Type: text/plain; charset="us-ascii"
> 
> #P [email-masked]
> #S 6
> #D 3
> #R 6
> #L 6
> #C Alfvaen's Characteristic Rolls
> #C Str
> #C Int
> #C Wis
> #C Dex
> #C Con
> #C Cha
> #C Hubert
> #C Dungeon Masters are cool
> #T acka: alf's stats
> --Anathema
>   Dungeon Master - Religious Caste - Crazy French Scotsman - Really Weird
>   

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

Date: Sat, 03 Oct 1998 03:19:33 -0400 (EDT)
From: [email-masked]
Subject: Re: Acka: ASS

In a message dated 03/10/98 03:12:35 GMT, Alfvaen wrote:

> 
>  The nose of my main head is the chess piece known as a Tolvaj.  
>  It can only move on the board if both the
>  horizontal and vertical components of its move are prime numbers, and these
>  numbers also form the sides of a right triangle whose hypotenuse's length's
>  an integer.

That means it can never move.

My nose becomes the chess piece called a Merlin. It looks just like
its namesake. He has no move of its own but any piece that attempts to enter
his square becomes a frog and hops off the board. Furthermore the first
piece he names each day becomes my devoted slave, doing only as I desire.

Today he names the demon that is anathema's nose, which from now on
will move only as I see fit.

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

Date: Sat, 03 Oct 1998 03:19:50 -0400 (EDT)
From: [email-masked]
Subject: Re: Acka: ASS

In a message dated 03/10/98 03:12:35 GMT, Alfvaen wrote:

> 
>  The nose of my main head is the chess piece known as a Tolvaj.  
>  It can only move on the board if both the
>  horizontal and vertical components of its move are prime numbers, and these
>  numbers also form the sides of a right triangle whose hypotenuse's length's
>  an integer.

That means it can never move.

My nose becomes the chess piece called a Merlin. It looks just like
its namesake. He has no move of its own but any piece that attempts to enter
his square becomes a frog and hops off the board. Furthermore the first
piece he names each day becomes my devoted slave, doing only as I desire.

Today he names the demon that is anathema's nose, which from now on
will move only as I see fit.

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

Date: Sat, 03 Oct 1998 03:43:14 -0400 (EDT)
From: Gabe Drummond-Cole <[email-masked]>
Subject: Re: Acka: ASS

>That means it can never move.
>
>My nose becomes the chess piece called a Merlin. It looks just like
>its namesake. He has no move of its own but any piece that attempts to enter
>his square becomes a frog and hops off the board. Furthermore the first
>piece he names each day becomes my devoted slave, doing only as I desire.
>
>Today he names the demon that is anathema's nose, which from now on
>will move only as I see fit.
> 

The demon awaits its new master's will

Meanwhile, i use the demon to alter the rules to prevent the demon from
hurting me or Robin Hood

- --Anathema
  Dungeon Master - Religious Caste - Crazy French Scotsman - Really Weird

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

Date: Sat, 03 Oct 1998 08:58:01 -0400 (EDT)
From: "Duncan C. \"Slakko\" Richer" <[email-masked]>
Subject: Re: Acka: A thought

On Fri, 2 Oct 1998, K 2 wrote:

> JT wrote:
> 
> > On Fri, 2 Oct 1998, Aaron V. Humphrey wrote:
> > >> I suggest instead that the TWITS purchase an Excavation Permit :)
> >
> > In case I need to, I approve my own suggestion :)

I denounce this suggestion.

> > >Oh, yeah?  Well I suggest that the twiTs purchase a Secret Laboratory!

I approve the Twits purchase of a Secret Laboratory.
I approve of the Twits chewing the gumball.

I also point out, as part of this thread, that JT did not award K 2 a 
Blue Cross Bonus.  The Blue Cross Bonus is awarded _automatically_ at the
end of the term of a President or Senator, provided that the term was of
the appropriate length.

- -- 
Duncan C. "" Richer aka
Slakko (Lost) Warner - http://dcr24.quns.cam.ac.uk/ - Queens' College
Cambridge, 1st Year PhD(Pure Maths), CUDipSoc, CUSFS, CUSTS, CURS etc
Ackanomic - Web-Harfer, ChessUmpire, Map-Harfer, Clerk of the Court

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

Date: Sat, 03 Oct 1998 09:00:05 -0400 (EDT)
From: "Duncan C. \"Slakko\" Richer" <[email-masked]>
Subject: Acka: cpf

My Chess Piece Nose is a Tornado.  It looks like a Tornado (grey and
swirly), it moves like the old Tornado used to do before Alfvaen crippled
it (before it was repealed), and its game effect is that it captures every
piece on the board not owned by the SPAM Swinger.

6 points merci.

- -- 
Duncan C. "" Richer aka
Slakko (Lost) Warner - http://dcr24.quns.cam.ac.uk/ - Queens' College
Cambridge, 1st Year PhD(Pure Maths), CUDipSoc, CUSFS, CUSTS, CURS etc
Ackanomic - Web-Harfer, ChessUmpire, Map-Harfer, Clerk of the Court

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

Date: Sat, 03 Oct 1998 09:05:31 -0400 (EDT)
From: "Duncan C. \"Slakko\" Richer" <[email-masked]>
Subject: Acka: Apologies

We apologise for the inconvenience.

My Centrex line is being delayed, because the forms keep getting delayed
and/or lost.  I hope this will be fixed Real Soon Now (tm) but cannot give
any guarantees.
As a result, it is difficult for me to update the web pages
(I would need to download the pine folder onto a disk, physically
transport the disk to my room at Maids Causeway, read the mail folder on
it while I update the pages, then transfer the updated pages onto the disk
to take back to maths the next morning).
Hopefully this will be fixed soon.

To make things a little more legal, I am now issuing a Committee Call (in
my capacity as Senator), naming the office of Web-Harfer.  That way any of
my duties will not be actually due until this time on Wednesday (hopefully
giving me a bit of breathing space without worrying about CFCJs).

Those of you who have outstanding business with the CotC, please be
patient.  I will be delayed for a few days, but hopefully that will be the
only problem.

Yours,
Slakko
Web-Harfer, Clerk of the Court, and So Much More (tm)

- -- 
Duncan C. "" Richer aka
Slakko (Lost) Warner - http://dcr24.quns.cam.ac.uk/ - Queens' College
Cambridge, 1st Year PhD(Pure Maths), CUDipSoc, CUSFS, CUSTS, CURS etc
Ackanomic - Web-Harfer, ChessUmpire, Map-Harfer, Clerk of the Court

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

Date: Sat, 03 Oct 1998 09:26:56 -0400 (EDT)
From: Tom Walmsley <[email-masked]>
Subject: Acka: Approval

I approve of all org actions for shell #10 and the twits whhich I have
yet to approve of.

Rambo R Minuteman.

- --
Tom Walmsley [email-masked]
http://website.lineone.net/~t.walmsley/index.html
AIM: TGW666 ICQ 2925739
Bonvolu alsendi la pordiston, lausajne estas rano en mia bideo.

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

Date: Sat, 03 Oct 1998 11:27:10 -0400 (EDT)
From: Alexandre Muniz <[email-masked]>
Subject: Re: Acka: ASS

404 Not Found wrote:
> 
>   As DeeJay, I must announce that the ASS is now currently playing "Chess
> Piece Face" by They Might Be Giants as JT has won a Stabber's Knife in the
> game of Party Chess.
> 
>   While this song is playing, the nose of the main head of each and every Acka
> player is replaced by a chess piece. Players are encouraged to describe the
> color, shape, board move, and game effects of their chess pieces while this
> song is playing, and a player shall gain 6 points the first time e publically
> describes all four of the above. Players are also encouraged to mock other
> players' choice of pieces, but are subject to Rule 374 (Politeness Moon) while
> doing so. Players may state that their chess piece has any game effect they
> like, but chess pieces, as defined by this Rule, have no game effect
> whatsoever."

My chess piece nose is called the Bubble Machine. It may move to an
adjacent cell, or it may be used to create a new cell at the position of
one of the vertices of its current cell. The new cell borders the cells
that that vertex bodered. It's ascii representation is '*', and it has a
material value of the square root of 3.

**two-star

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

Date: Sat, 03 Oct 1998 11:38:52 -0400 (EDT)
From: Alexandre Muniz <[email-masked]>
Subject: Re: Acka: ASS

Alexandre Muniz wrote:
> 
> 404 Not Found wrote:
> >
> >   As DeeJay, I must announce that the ASS is now currently playing "Chess
> > Piece Face" by They Might Be Giants as JT has won a Stabber's Knife in the
> > game of Party Chess.
> >
> >   While this song is playing, the nose of the main head of each and every Acka
> > player is replaced by a chess piece. Players are encouraged to describe the
> > color, shape, board move, and game effects of their chess pieces while this
> > song is playing, and a player shall gain 6 points the first time e publically
> > describes all four of the above. Players are also encouraged to mock other
> > players' choice of pieces, but are subject to Rule 374 (Politeness Moon) while
> > doing so. Players may state that their chess piece has any game effect they
> > like, but chess pieces, as defined by this Rule, have no game effect
> > whatsoever."
> 
> My chess piece nose is called the Bubble Machine. It may move to an
> adjacent cell, or it may be used to create a new cell at the position of
> one of the vertices of its current cell. The new cell borders the cells
> that that vertex bodered. It's ascii representation is '*', and it has a
> material value of the square root of 3.
> 
> **two-star

I should also note that the color of my chess piece nose is lemon
chiffon, and that it is shaped like the surface with minimal area that
has the edges of the Earth as its periphery.

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

Date: Sat, 03 Oct 1998 13:23:39 -0400 (EDT)
From: [email-masked] (Dice server)
Subject: acka: K2's stats 

- -----BEGIN PGP SIGNED MESSAGE-----

Dice rolls requested by: Gabe Drummond-Cole <[email-masked]>
Rolls also sent to:
    [email-masked]

# K 2's Characteristic Rolls
# Str
# Int
# Wis
# Dex
# Con
# Cha
# Hubert
# Dungeon Masters are cool

No. of sides on every die:      6
No. of dice for every roll:     3
No. of dice rolls requested:    6
No. of rolls per line:          6

     12     10      9      7      9     17

Information on the dice server:
   DO NOT REPLY TO THIS MESSAGE!
   Replies to [email-masked] vanish into a seldom-read mailbox.

   For instructions on using the dice server, send a message with
   subject "help" to [email-masked], or see http://www.pbm.com/dice/

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      http://www.pbm.com/

=================================================
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    An army of editors surfing the web for you!
               http://www.NewHoo.com/
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Original message follows:
> From [email-masked]  Sat Oct  3 10:23:25 1998
> Received: (from smtp@localhost) by xkey.com
>       id KAA26484 for <[email-masked]>; Sat, 3 Oct 1998 10:23:25 -0700
> Received: from uclink4.Berkeley.EDU(128.32.25.39) by xkey.com via smtp (V1.3)
>       id sma026482; Sat Oct  3 10:23:22 1998
> Received: from nor-90-114 (nor-90-114.Reshall.Berkeley.EDU [169.229.90.114])
>       by uclink4.berkeley.edu (8.8.8/8.8.8) with SMTP id KAA14191
>       for <[email-masked]>; Sat, 3 Oct 1998 10:23:22 -0700 (PDT)
> Message-Id: <[email-masked]>
> X-Sender: [email-masked]
> X-Mailer: QUALCOMM Windows Eudora Pro Version 4.0.2 
> Date: Sat, 03 Oct 1998 13:27:47 -0400
> To: [email-masked]
> From: Gabe Drummond-Cole <[email-masked]>
> Subject: 
> Mime-Version: 1.0
> Content-Type: text/plain; charset="us-ascii"
> 
> #P [email-masked]
> #S 6
> #D 3
> #R 6
> #L 6
> #C K 2's Characteristic Rolls
> #C Str
> #C Int
> #C Wis
> #C Dex
> #C Con
> #C Cha
> #C Hubert
> #C Dungeon Masters are cool
> #T acka: K2's stats 
> --Anathema
>   Dungeon Master - Religious Caste - Crazy French Scotsman - Really Weird
>   

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

Date: Sat, 03 Oct 1998 13:25:15 -0400 (EDT)
From: JT <[email-masked]>
Subject: Acka: Otzma auction

Map Shard: A$30

[-------------------------------------------------------------------------]
[ Practice random kindness and senseless acts of beauty.                  ]
[ It's hard to seize the day when you must first grapple with the morning ]
[-------------------------------------------------------------------------]

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

Date: Sat, 03 Oct 1998 13:27:16 -0400 (EDT)
From: Gabe Drummond-Cole <[email-masked]>
Subject: Acka: Chess Pieces and Permission

My nose looks hungrily at **'s nose (note that Slakko's nose, along with
the rest of Slakko, is already in my nose's stomach) and hopefully at Robin
Hood.  Then my nose remembers, with its tiny brain, a thread that escaped
it yesterday.  With the tiny amount of free will that it still has, it
sneaks up behind Rambo R Minuteman and throttles him with an unambiguous
reference.
- --Anathema
  Dungeon Master - Religious Caste - Crazy French Scotsman - Really Weird

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

Date: Sat, 03 Oct 1998 13:32:31 -0400 (EDT)
From: [email-masked]
Subject: Re: Acka: cpf

> My Chess Piece Nose is a Tornado.  It looks like a Tornado (grey and
> swirly), it moves like the old Tornado used to do before Alfvaen crippled
> it (before it was repealed), and its game effect is that it captures every
> piece on the board not owned by the SPAM Swinger.

I use the alter the rules such that 
a/ if any piece I control is ever off the board it reappears there
b/ no piece I control can be captured by any other player
c/ any attempt to do so causes the attempting player and
their nose to burst into bright black flames for 24 hours.
The flames smell like the sound of fingernails of a blackboard.

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

Date: Sat, 03 Oct 1998 15:13:49 -0400 (EDT)
From: Matt Miller <[email-masked]>
Subject: Acka: OC Stuff.

I bid A$50 on the ACME Insta Gadget

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

Date: Sat, 03 Oct 1998 16:19:37 -0400 (EDT)
From: JT <[email-masked]>
Subject: Acka: Otzma Auctions

The following auctions ended today at 16:08 Acka time.   The winning
bids for the cards are shown along with who won them.

Paratroop (2)         : JT (A$10)       Studge (A$15)
Training Regime (2)   : JT (A$10)       Altra (A$20)
Lay Off! (1)          : Studge (A$6)
Enslavement (1)       : JT (A$35)
Roulette Wheel (1)    : Altra (A$22)
Arctic Explorer (2)   : JT (A$20)       K 2 (A$25)
Share My Expenses (1) : Altra (A$8)

Thus:
K 2 gains 1 Arctic Explorer paying A$25
Studge gains 1 Paratroop, and 1 Lay Off! paying A$21.
Altra gain 1 Training Regime, 1 Roulette Wheel, and 1 Share My Expenses
paying A$50
JT aquires 1 Paratroop, 1 Training Regime, 1 Enslavement, and 1 Arctic
Explorer paying A$75

The following auctions are still going.  Ending times and current bids are
shown.

Share Your Income (2) : Alfvaen (A$5)   Anathema (A$6)  ends: 10/3/98 16:36
Map Shard (1)         : JT (A$30)                       ends: 10/3/98 16:25
Truthseeker (1)       : Anathema (A$11)                 ends: 10/3/98 16:36
ACME InstaGadget (1)  : IdiotBoy (A$50)                 ends: 10/3/98 18:13

- --JT

[-------------------------------------------------------------------------]
[ Practice random kindness and senseless acts of beauty.                  ]
[ It's hard to seize the day when you must first grapple with the morning ]
[-------------------------------------------------------------------------]

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

Date: Sat, 03 Oct 1998 16:23:51 -0400 (EDT)
From: JT <[email-masked]>
Subject: Re: Acka: Otzma Auctions

On Sat, 3 Oct 1998, JT wrote:
>The following auctions ended today at 16:08 Acka time.   The winning
>bids for the cards are shown along with who won them.
>
>Paratroop (2)         : JT (A$10)       Studge (A$15)
>Training Regime (2)   : JT (A$10)       Altra (A$20)
>Lay Off! (1)          : Studge (A$6)
>Enslavement (1)       : JT (A$35)
>Roulette Wheel (1)    : Altra (A$22)
>Arctic Explorer (2)   : JT (A$20)       K 2 (A$25)
>Share My Expenses (1) : Altra (A$8)

Ack!  I apologize for a misreport.. the rules are now 12 hours past most
recent bid.

Some of the above are incorrect as they had bids within the past 12 hours.
I will correct and update this momentarily.

I donate A$1 to the twits for being a ninny and misremembering the rules.

- --JT

[-------------------------------------------------------------------------]
[ Practice random kindness and senseless acts of beauty.                  ]
[ It's hard to seize the day when you must first grapple with the morning ]
[-------------------------------------------------------------------------]

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

Date: Sat, 03 Oct 1998 16:38:06 -0400 (EDT)
From: Jonathan David Amery <[email-masked]>
Subject: Re: Acka: Otzma Auctions

On Sat, 3 Oct 1998, JT wrote:

> Share Your Income (2) : Alfvaen (A$5)   Anathema (A$6)  ends: 10/3/98 16:36

 I bid A$8

> Map Shard (1)         : JT (A$30)                       ends: 10/3/98 16:25
> Truthseeker (1)       : Anathema (A$11)                 ends: 10/3/98 16:36

 I bid A$13

> ACME InstaGadget (1)  : IdiotBoy (A$50)                 ends: 10/3/98 18:13

 Wild Card.

- -- 
Jonathan David Amery, Trinity Hall, CAMBRIDGE, CB2 1TJ.             #####
http://www.trinhall.cam.ac.uk/~jda23/home.html                  o__#######
Wild Card of Acka, member of SPAM, wearing a Silly Agenda Hat.   \'#######
Follower of Banna, the EBS and Odo.  Holding the Silver Key to the Vault.

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

Date: Sat, 03 Oct 1998 17:06:43 -0400 (EDT)
From: [email-masked] (Aaron V. Humphrey)
Subject: Re: Acka: ASS

> >  The nose of my main head is the chess piece known as a Tolvaj.  
> >  It can only move on the board if both the
> >  horizontal and vertical components of its move are prime numbers, and these
> >  numbers also form the sides of a right triangle whose hypotenuse's length's
> >  an integer.

> That means it can never move.

Well, it seemed like a good idea at the time.  Also, I wasn't sure whether
there were any numbers satisfying those conditions.  (So the sum of the
squares of two prime numbers is never a prime number?  Is there a simple
proof of this?)

- --
- --Alfvaen(Web page: http://www.connect.ab.ca/~alfvaen/ )
Current Album--Daft Punk:Homework
Current Book--William Wharton:Birdy
I was born to speak all mirth and no matter.

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

Date: Sat, 03 Oct 1998 17:09:03 -0400 (EDT)
From: [email-masked] (Aaron V. Humphrey)
Subject: Acka: Another thought

I suggest that MetaMorph build a Secret Laboratory.

- --
- --Alfvaen(Web page: http://www.connect.ab.ca/~alfvaen/ )
Current Album--Daft Punk:Homework
Current Book--William Wharton:Birdy
"Pepsi brings your ancestors back from the grave."

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

Date: Sat, 03 Oct 1998 18:17:36 -0400 (EDT)
From: Tom Walmsley <[email-masked]>
Subject: Re: Acka: Another thought

Aaron V. Humphrey wrote:

> I suggest that MetaMorph build a Secret Laboratory.

I suggest that the church of the Good Ballot Stuffer approve this
suggestion which happens because I am the founder.

Rambo.

- --
Tom Walmsley [email-masked]
http://website.lineone.net/~t.walmsley/index.html
AIM: TGW666 ICQ 2925739
Bonvolu alsendi la pordiston, lausajne estas rano en mia bideo.

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

Date: Sat, 03 Oct 1998 19:23:25 -0400 (EDT)
From: "Gavin M. Doig" <[email-masked]>
Subject: Re: Acka: A thought

>> I suggest instead that the TWITS purchase an Excavation Permit :)
>

I approve of this.

>Oh, yeah?  Well I suggest that the twiTs purchase a Secret Laboratory!
>I also approve the above suggestion about the Excavation Permit thing,
>and suggest that the Twist chew the Gumball.
>
And I approve of both of these.

Rex Mundi.

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

Date: Sat, 03 Oct 1998 20:06:17 -0400 (EDT)
From: Matt Miller <[email-masked]>
Subject: Re: Acka: Another thought

On Sat, 3 Oct 1998, Tom Walmsley wrote:

> I suggest that the church of the Good Ballot Stuffer approve this
> suggestion which happens because I am the founder.
> 
> Rambo.
> 

Send.... more.... abstraction...

IB

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

Date: Sat, 03 Oct 1998 20:09:58 -0400 (EDT)
From: [email-masked]
Subject: Re: Acka: ASS

In a message dated 03/10/98 21:07:59 GMT, you write:

> 
>  Well, it seemed like a good idea at the time.  Also, I wasn't sure whether
>  there were any numbers satisfying those conditions.  (So the sum of the
>  squares of two prime numbers is never a prime number?  Is there a simple
>  proof of this?)

The sides of a right-angled triangle can only be all integer if they are
given by x^2-y^2,2xy,x^2+y^2 with the largest number being the hypotenuse.
2xy is only prime if x=y=1, but that would give sides 0,2,2 and triangles
can't have sides of zero length.

Furthermore if all 3 sides are odd, the square of any odd number is odd
but the sum of two odd numbers is even which is a contradiction so at
least one side must be even.

Robin Hood

Robin Hood

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Date: Sat, 03 Oct 1998 22:16:51 -0400 (EDT)
From: [email-masked] (Aaron V. Humphrey)
Subject: Re: Acka: ASS

> The sides of a right-angled triangle can only be all integer if they are
> given by x^2-y^2,2xy,x^2+y^2 with the largest number being the hypotenuse.
> 2xy is only prime if x=y=1, but that would give sides 0,2,2 and triangles
> can't have sides of zero length.

> Furthermore if all 3 sides are odd, the square of any odd number is odd
> but the sum of two odd numbers is even which is a contradiction so at
> least one side must be even.

Well, I didn't prohibit the _hypotenuse_ from being prime, only from being
nonintegral.  So your argument would hold if 2xy were never the largest
number...

- --
- --Alfvaen(Web page: http://www.connect.ab.ca/~alfvaen/ )
Current Album--XTC:English Settlement
Current Book--Michael Moorcock:The Shores of Death
This article has no next sibling.

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Date: Sat, 03 Oct 1998 22:24:57 -0400 (EDT)
From: Jonathan David Amery <[email-masked]>
Subject: Re: Acka: ASS

On Sat, 3 Oct 1998, Aaron V. Humphrey wrote:

> 
> > The sides of a right-angled triangle can only be all integer if they are
> > given by x^2-y^2,2xy,x^2+y^2 with the largest number being the hypotenuse.
> > 2xy is only prime if x=y=1, but that would give sides 0,2,2 and triangles
> > can't have sides of zero length.
> 
> > Furthermore if all 3 sides are odd, the square of any odd number is odd
> > but the sum of two odd numbers is even which is a contradiction so at
> > least one side must be even.
> 
> Well, I didn't prohibit the _hypotenuse_ from being prime, only from being
> nonintegral.  So your argument would hold if 2xy were never the largest
> number...

 Ah, but that is trivial.

 xx+yy+2xy=(x+y)(x+y)
 xx+yy-2xy=(x-y)(x-y)
 2xx+2yy=(x+y)(x+y)+(x-y)(x-y)
 4xy=(x+y)(x+y)-(x-y)(x-y)

 QED.

- -- 
Jonathan David Amery, Trinity Hall, CAMBRIDGE, CB2 1TJ.             #####
http://www.trinhall.cam.ac.uk/~jda23/home.html                  o__#######
Wild Card of Acka, member of SPAM, wearing a Silly Agenda Hat.   \'#######
Follower of Banna, the EBS and Odo.  Holding the Silver Key to the Vault.

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