The Curvature of the Earth is Overwhelmed by Local Noise Nomic

Archive of Game Two


The second Game was officially declared open on July 14, 2000, with these Rules:

Rule 1  The Official Domain consists of ordered pairs of integers between zero and fifteen (inclusive); the Official Range consists of the integers zero and one; the Official Mapping consists of a mapping from the Official Domain to the Official Range. Initially, the Official Mapping maps each element of the Official Domain into zero. The Official Tableau is a 2-dimensional visual representation of the Official Mapping.

Rule 2  Any person (or other apparently sentient entity, including the scribe) in the universe may take part in this game by sending a Valid Move to the Scribe.

Rule 3  A Valid Move consists of an email message or something typed into one of those little input-boxes on the Scribe's website, clearly marked as a move, and containing either a Rule Change Suggestion, or a Mapping Modification Suggestion.

Rule 4  A Rule Change Suggestion consists of the string "I suggest the following change(s) to the Rules" (or reasonable equivalent), followed by a clear and explicit description of one or more changes to one or more existing Rules, the deletion of one or more existing Rules, or the creation of one or more new Rules.

Rule 5  A Mapping Modification Suggestion consists of the string "I suggest the following modification to the Mapping" (or reasonable equivalent), followed by a description clearly and unambiguously picking out a single member of the Official Domain, and specifying a new member of the Official Range to which that member of the Official Domain should be mapped.

Rule 6  Once a week, or whenever he or she feels like it, the Scribe shall select one of the Valid Moves that have been sent and not yet applied, and apply it. Applying a Valid Move containing a Rule Change Suggestion consists of changing the rules as specified in the Suggestion. Applying a Valid Move containing a Mapping Modification Suggestion consists of changing the Mapping as specified in the Suggestion.

Rule 7  Not very long after Applying a Valid Move, the Scribe shall make available on his or her website a copy of the Move, and the current state of the Rules and Official Tableau.

Rule 8  The Scribe is David M. Chess.

Rule 9  All entities participating in the current Nomic, regardless of the level of participation, shall be encouraged to brush and floss every morning and night. The minimum amount of encouragement to be given to the above mentioned entities is this rule itself.

Rule 10  Whenever a new Rule is created, it shall be assigned the smallest integer that is not currently assigned to any Rule, unless it is created as the result of a Rule Change Suggestion that explicitly specifies a different number, in which case it shall be assigned the number specified in the Suggestion.

On 20 July 2000 the following moves were applied:

I suggest the following change(s) to the Rules: Change Rule 10 to read as follows: Rule 10 Whenever a new Rule is created, it shall be assigned the smallest positive integer that is not currently assigned to any Rule, unless it is created as the result of a Rule Change Suggestion that explicitly specifies a different number, in which case it shall be assigned the number specified in the Suggestion.

I suggest the following change(s) to the Rules: We must all inhale deeply through the nose and exhale through the mouth. We shall breath within certain rhythmic cycles and shall not be afraid to cover our bodies in rare and exotic spices.

I suggest the following change(s) to the Rules: The scribe must not wear a special ceremonial hat whilst whether or not to apply a valid move.

I suggest the following change(s) to the Rules: The name of this nomic shall be "The Curvature of the Earth is Overwhelmed by Local Noise Nomic"

I suggest the following change(s) to the Rules: This change consists of two steps:
Step 1: The text of the existing Rule 5 shall be copied as a new rule.
Step 2: Rule 5 shall be replaced by the following text: "There is no Rule Five".

I suggest the following modification to the Mapping:
D(7,7) = 1

On 27 July 2000 the following moves were applied:

I suggest the following modification to the mapping: D(7,8)=1

I suggest the following modification to the mapping: D(4,4)=1

I suggest the following change(s) to the Rules: Add a rule reading: "The game is complete when a nomic move creates an exact replica of a Space Invaders enemy in the Tableau."

I suggest the following change(s) to the Rules: All odd prime numbered rules will have the phrase "Or so they would have you believe." appended at the end of the rule. All even numbered prime numbered rules shall have the phrase "The monkeys will then dance."

The latter move was interpreted as a one-time instantaneous change to the existing rules, not as the creation of a new rule.

On 8 August 2000 the following moves were applied:

I suggest the following change(s) to the Rules: That the wording of Rule 15 be changed as follows: the words "exact replica" changed to "exact monochrome replica". (I think they were in color, and you don't really want this game to be infinite / add color to the mapping, do you?)

I suggest the following change(s) to the Rules: Any Rule Change Suggestion submitted on a Monday is assumed to be flawed. Accordingly, any such Suggestion may be applied only if the suggested rule is first negated, e.g. by replacing "shall" with "shall not" and vice versa, et cetera.

I suggest the following change(s) to the Rules: Any Rule Change Suggestion submitted on a Friday is assumed to be perfect. Accordingly, any rule created or amended by any such Suggestion shall be designated a "Friday Rule" and may later be amended or repealed only by another Rule Change Suggestion submitted on a Friday.

I suggest the following change(s) to the Rules: Change Rule 14 to read: A Mapping Modification Suggestion consists of the string "I suggest the following modification(s) to the Mapping" (or reasonable equivalent), followed by a description clearly and unambiguously picking out one or more members of the Official Domain, and specifying a new member of the Official Range to which each of those members of the Official Domain should be mapped.

I suggest the following modification(s) to the Mapping D(4,11) = 1

The new Rule about Mondays was interpreted as requiring, but not authorizing, the negating of something in Rule Change Suggestions submitted on Mondays before applying them, and therefore as making it, for the time being, impossible to apply any such moves.

On 18 August 2000 the following move was applied:

I suggest the following modification(s) to the Mapping: d(11,6-9)=1, d(10,5)=1, d(10,10)= 1

resulting in a silly smiling face in the Tableau.

On 23 September 2000 the following moves were applied, in this order:

I suggest the following modification(s) to the Mapping: invert (0,0)

Whenever a new rule is created and that rule's number is a multiple of 5, the Official Mapping shall be transformed by applying one iteration of John Conway's game of life. [created a Friday Rule]

I suggest the following change(s) to the Rules: The scribe may, at his option, first negate any rule change suggestion before applying it. [made it once more possible to apply moves submitted on Mondays]

I suggest the following change(s) to the Rules: That any Rule Change be considered invalid if it contains a grammatical error. And that if the Scribe adds grammatical errors to Rule Changes, he must wear a special ceremonial hat while covering his body in rare exotic spices, but not if he's flossing or it's a Friday. He shall also inhale through the mouth and exhale shallowly through the nose 3 times for every error thus introduced. [submitted on a Monday, and thus negated before being applied; created a rule 20, and caused a Conway step in the Tableau/Mapping]

I suggest the following change(s) to the Rules: that the word "deciding" be inserted in Rule 12 between "whilst" and "whether", thus making it a correct English sentence. (I know I'm nitpicky) [also submitted on a Monday, and had no effect after negation]

I suggest the following change(s) to the Rules: Friday Rule: That odd numbers be considered Evil and even numbers be considered Pure and Good. That all new rules only get Good Even numbers, and that the existing rules get numbers that equal their current number * 2, thus also giving them Good, Even numbers. That on days of the month that have odd numbers and thus are Evil, every one shall repent and breathe in deeply an even number of times before submitting a rule to this nomic. [created a Friday rule, and renumbered all existing rules]

Due to a conflict about Rule numbering between the resulting Rule 20 and Rule 42, it became temporarily impossible to apply suggestions that would create new rules without specifying even numbers for them.

On 9 December 2000 the following moves were applied, in this order:

I suggest the following change(s) to the Rules: The text of rule 10 is replaced with: Should there exist a conflict, paradox, or other such conundrum caused by two or more rules, that conflict is resolved by giving precedence to higher numbered rules over lower numbered rules.

I suggest the following change(s) to the Rules: The sentence "Any action taken by the scribe which is not correct is definitively incorrect." is appended to rule 16.

I suggest the following change(s) to the Rules: The phrase "whilst whether" shall not be replaced by the phrase "whilst deciding whether" wherever it appears in the rules. [Submitted on a Monday, and negated before Applying.]

I suggest the following change(s) to the Rules: The text of rule 20 shall be deleted, and in its place, the following text inserted: Whenever a new rule is created, it shall be assigned the smallest positive integer allowable by the rules, unless it is created as the result of a Rule Change Suggestion that explicitly specifies a different number, in which case it shall be assigned the number specified in the Suggestion. No two rules may have the same rule number.

I suggest the following change(s) to the Rules: The text of rule 20 shall be deleted, and in its place, the following text inserted: Whenever a new rule is created, it shall be assigned the smallest positive integer allowable by the rules, unless it is created as the result of a Rule Change Suggestion that explicitly specifies a different number, in which case it shall be assigned the number specified in the Suggestion. No two rules may have the same rule number.

I suggest the following change(s) to the Rules: There shall not be established an official set. The official set shall not be a set of strings. The official set shall not initially be {official, set}. Whenever a new rule is created, the official set shall not be changed to the union of the official set and the set of the first word of the new rule. This rule shall repeal itself whenever the official set is the empty set. Any new rule resulting from this suggestion shall not be given rule numer 74. [Submitted on a Monday, and negated before Applying.]

I suggest the following change(s) to the Rules: Should the Scribe be unable or unwilling to apply valid moves, e may select any other entity to perform this duty instead.

I suggest the following change(s) to the Rules: No Rule Change Suggestion submitted on a holiday may be applied, unless the suggestion contains a phrase appropriate to the holiday.
There are no holidays not explicitly defined in the rules.
These are holidays:
01/29 - Old Ceolnn Independence Day
04/01 - April Fools' Day
07/14 - Ceolnn Independence Day
10/01 - Palindrome Day
10/24 - David Chess Day
11/13 - Paradox of Self-Amendment Day
[submitted on a Friday]

I suggest the following change(s) to the Rules: No animal shall sleep on a bed with sheets [submitted on a Friday]

I suggest the following change(s) to the Rules: Roman numerals shall be accepted as the official numbering system of this nomic. All numbers currently used or subsequently introduced into this nomic shall be expressed in Roman numerals, except in such cases as this rule does not have the power to affect them. This rule shall be given rule number XC.

I suggest the following change(s) to the Rules: All changes to the Rules from here on must begin with a haiku. All modifications to the mapping must end with a couplet. [submitted on a Friday]

Friday Rules already present at the adoption of the Roman Numeral Rule were unchanged (left with their numbers expressed in conventional numbering), whereas the Friday Rule enacted after the Roman Numeral Rule (the haiku/couplet Rule) was numbered L. Due to the creation of new Rules numbered XC and L, two generations of Conway's Life were run on the Tableau.

On 15 February 2001 the following move was applied:

I suggest the following change(s) to the Rules:
Frigid howling winds
Bring winter to our doorstep
Nomic stirs again
New rule: For purposes of this game, the word "here" is defined to mean "this lexical point in the ruleset."

This suggests that Rule Modification Suggestions that modify Rules prior to Rule L need not start with a haiku.

On 16 February 2001 the following move was applied:

I suggest the following modification(s) to the Mapping:
(X, IX) = I
(X, VIII) = 0
(XI, VII) = I

Julius Ceasar, I think you're a snot. And I don't care if you like me or not.

Resulting in a glider (not, as originally written in this space, "a cute stable pentomino") in the Tableau.

On 18 February 2001 the following move was applied:

I suggest the following change(s) to the Rules:
Whenever the scribe
adds a rule to the nomic
e gets VII points.

Whenever a generation of life is run, John Conway is awarded XX points.

Introducing the concept of "points" into the game for the first time.

On 19 February 2001 the following move was applied:

I suggest the following modification(s) to the Mapping:
(I,II) = I
(II,II) = I
(III,II) = I


How do you know when your nomic died?
I'm a miracle worker, not a doctor.

Adding a traffic light, perhaps in the path of the glider.

On 21 February 2001 the following move was applied:

I suggest the following change(s) to the Rules:
Change Rule XXX
Because it would be better
If it read like this:

The game is complete when a nomic move creates an exact monochrome replica of a Space Invaders enemy in the Tableau, or on 1 June 2001, whichever comes first.

putting a time-limit on the game.

On 26 February 2001 the following moves were applied:

I suggest the following change(s) to the Rules:
It just isn't fair
for the scribe and John Conway
to hog all the points

As such, create the following rule: I am the avacado rule. Whenever a mapping modification suggestion is applied, I am awarded I point for each occurance of the word avacado in the rules.

I suggest the following change(s) to the Rules:
haiku is defined
to be any word not in
the official set

So now any change to the Rules at (lexically) Rule L or beyond must begin with a word not in the Official Set, and the Scribe has XIV points.

On 1 March 2001 the following move was applied:

avocado The official spelling of the word "avocado" shall be "avocado." All Rules containing one or more misspellings of the word "avocado" (defined as a spelling of the word "avocado" that begins with the letter "a" and contains exactly three consonants (which must include at least two of the following: {v,c,d}) separated by single vowels) shall be deemed invalid.

This gives the Scribe a total of XXI points, and throws Rule LVI and the newly-minted Rule LX into an infinite-frequency fluctuation between validity and invalidity, since the new Rule LX declares both Rule LVI and itself to be invalid. It also fires off a round of Conway's Life, and gives John Conway his first XX points.

On 18 April 2001 the following move was applied:

Bolivia Any Rule that invalidates itself shall be interpreted and, if necessary, rewritten, by the Scribe so it no longer invalidates itself, in as simple and non-amendatory a manner as possible. (This should be a Friday Rule, and should eliminate that pesky infinite-cycle problem with Rule LX. D'oh!)

This created a new Friday Rule, Rule LXII, and gave the Scribe a total of XXVIII points. The scribe, as instructed by the new Rule, inserted the word "other" into the existing Rule LX, changing "All Rules" into "All other Rules", ending the fluctuation, and causing Rule LVI to be deemed invalid.

On 28 May 2001 the following move was applied:

I suggest the following modification(s) to the Mapping:
Set Member 8,8 of the offical domain to 1
And I cannot think of an appropriately witty pun
How fun

which sabotaged the glider. The Scribe also noted that future Rule Change Suggestions, in order to be accepted, should actually describe a change to the Rules, rather than simply giving without explanation the text of a new Rule (e.g. "Add a new Rule reading 'foo'", rather than simply "foo").

On 1 June 2001 the Game ended (per Rule XXX), although this was not remarked upon until June 5th.


The final status of Game Two was:

The Rules:

Rule II  The Official Domain consists of ordered pairs of integers between zero and XV (inclusive); the Official Range consists of the integers zero and I; the Official Mapping consists of a mapping from the Official Domain to the Official Range. Initially, the Official Mapping maps each element of the Official Domain into zero. The Official Tableau is a II-dimensional visual representation of the Official Mapping.

Rule IV  Any person (or other apparently sentient entity, including the scribe) in the universe may take part in this game by sending a Valid Move to the Scribe. The monkeys will then dance.

Rule VI  A Valid Move consists of an email message or something typed into one of those little input-boxes on the Scribe's website, clearly marked as a move, and containing either a Rule Change Suggestion, or a Mapping Modification Suggestion. Or so they would have you believe.

Rule VIII  A Rule Change Suggestion consists of the string "I suggest the following change(s) to the Rules" (or reasonable equivalent), followed by a clear and explicit description of one or more changes to one or more existing Rules, the deletion of one or more existing Rules, or the creation of one or more new Rules.

Rule X  Should there exist a conflict, paradox, or other such conundrum caused by two or more rules, that conflict is resolved by giving precedence to higher numbered rules over lower numbered rules.

Rule XII  Once a week, or whenever he or she feels like it, the Scribe shall select one of the Valid Moves that have been sent and not yet applied, and apply it. Applying a Valid Move containing a Rule Change Suggestion consists of changing the rules as specified in the Suggestion. Applying a Valid Move containing a Mapping Modification Suggestion consists of changing the Mapping as specified in the Suggestion.

Rule XIV  Not very long after Applying a Valid Move, the Scribe shall make available on his or her website a copy of the Move, and the current state of the Rules and Official Tableau. Or so they would have you believe.

Rule XVI  The Scribe is David M. Chess. Any action taken by the scribe which is not correct is definitively incorrect.

Rule XVIII  All entities participating in the current Nomic, regardless of the level of participation, shall be encouraged to brush and floss every morning and night. The minimum amount of encouragement to be given to the above mentioned entities is this rule itself.

Rule XX  Whenever a new rule is created, it shall be assigned the smallest positive integer allowable by the rules, unless it is created as the result of a Rule Change Suggestion that explicitly specifies a different number, in which case it shall be assigned the number specified in the Suggestion. No two rules may have the same rule number.

Rule XXII  We must all inhale deeply through the nose and exhale through the mouth. We shall breath within certain rhythmic cycles and shall not be afraid to cover our bodies in rare and exotic spices. Or so they would have you believe.

Rule XXIV  The scribe must not wear a special ceremonial hat whilst deciding whether or not to apply a valid move.

Rule XXVI  The name of this nomic shall be "The Curvature of the Earth is Overwhelmed by Local Noise Nomic" Or so they would have you believe.

Rule XXVIII  A Mapping Modification Suggestion consists of the string "I suggest the following modification(s) to the Mapping" (or reasonable equivalent), followed by a description clearly and unambiguously picking out one or more members of the Official Domain, and specifying a new member of the Official Range to which each of those members of the Official Domain should be mapped.

Rule XXX  The game is complete when a nomic move creates an exact monochrome replica of a Space Invaders enemy in the Tableau, or on 1 June 2001, whichever comes first.

Rule XXXII  Any Rule Change Suggestion submitted on a Monday is assumed to be flawed. Accordingly, any such Suggestion may be applied only if the suggested rule is first negated, e.g. by replacing "shall" with "shall not" and vice versa, et cetera.

Rule XXXIV  Any Rule Change Suggestion submitted on a Friday is assumed to be perfect. Accordingly, any rule created or amended by any such Suggestion shall be designated a "Friday Rule" and may later be amended or repealed only by another Rule Change Suggestion submitted on a Friday.

Rule 36  Whenever a new rule is created and that rule's number is a multiple of 5, the Official Mapping shall be transformed by applying one iteration of John Conway's game of life. (Friday Rule)

Rule XXXVIII  The scribe may, at his option, first negate any rule change suggestion before applying it.

Rule XL  Any Rule Change shall not be considered invalid if it contains a grammatical error. And if the Scribe adds grammatical errors to Rule Changes, he must not wear a special ceremonial hat while covering his body in rare exotic spices, but not if he's not flossing or it's not a Friday. He shall not also inhale through the mouth and exhale shallowly through the nose 3 times for every error not thus introduced.

Rule 42  Odd numbers are considered Evil and even numbers are considered Pure and Good. All new rules only get Good Even numbers, and the existing rules get numbers that equal their current number * 2, thus also giving them Good, Even numbers. On days of the month that have odd numbers and thus are Evil, every one shall repent and breathe in deeply an even number of times before submitting a rule to this nomic. (Friday Rule)

Rule XLIV  Should the Scribe be unable or unwilling to apply valid moves, e may select any other entity to perform this duty instead.

Rule 46  No Rule Change Suggestion submitted on a holiday may be applied, unless the suggestion contains a phrase appropriate to the holiday. There are no holidays not explicitly defined in the rules. These are holidays:
01/29 - Old Ceolnn Independence Day
04/01 - April Fools' Day
07/14 - Ceolnn Independence Day
10/01 - Palindrome Day
10/24 - David Chess Day
11/13 - Paradox of Self-Amendment Day
(Friday Rule)

Rule 48  No animal shall sleep on a bed with sheets (Friday Rule)

Rule L  All changes to the Rules from here on must begin with a haiku. All modifications to the mapping must end with a couplet. (Friday Rule)

Rule LII  For purposes of this game, the word "here" is defined to mean "this lexical point in the ruleset."

Rule LIV  Whenever the scribe adds a rule to the nomic e gets VII points. Whenever a generation of life is run, John Conway is awarded XX points.

Rule LVI  I am the avacado rule. Whenever a mapping modification suggestion is applied, I am awarded I point for each occurance of the word avacado in the rules.

Rule LVIII 
haiku is defined
to be any word not in
the official set

Rule LX  avocado The official spelling of the word "avocado" shall be "avocado." All other Rules containing one or more misspellings of the word "avocado" (defined as a spelling of the word "avocado" that begins with the letter "a" and contains exactly three consonants (which must include at least two of the following: {v,c,d}) separated by single vowels) shall be deemed invalid.

Rule LXII  Any Rule that invalidates itself shall be interpreted and, if necessary, rewritten, by the Scribe so it no longer invalidates itself, in as simple and non-amendatory a manner as possible. (Friday Rule)

Rule LXXIV  There shall be established an official set. The official set shall be a set of strings. The official set shall initially be {official, set}. Whenever a new rule is created, the official set shall be changed to the union of the official set and the set of the first word of the new rule. This rule shall not repeal itself whenever the official set is the empty set.

Rule XC  Roman numerals shall be accepted as the official numbering system of this nomic. All numbers currently used or subsequently introduced into this nomic shall be expressed in Roman numerals, except in such cases as this rule does not have the power to affect them.

The Official Set:

official, set, Should, No, Roman, All, for, haiku, I, avocado, bolivia

Scores:

Scribe: XXVIII; John Conway: XX

Official Tableau: (ASCII-art version)

    - - - - - - - - - - - - - - - -
    - - - - - - - - - - - - - - - -
    - * * * - - - - - - - - - - - -
    - - - - - - - - - - - - - - - -
    - - - - - - - - - - - - - - - -
    - - - - - - - - - - - - - - - -
    - - - - - - - - - - - - - - - -
    - - - - - - - - - - - - - - - -
    - - - - - - - - * - - - - - - -
    - - - - - - - * * - - - - - - -
    - - - - - - * * - - - - - - - -
    - - - - - - - - * - - - - - - -
    - - - - - - - - - - - - - - - -
    - - - - - - - - - - - - - - - -
    - - - - - - - - - - - - - - - -
    - - - - - - - - - - - - - - - -

(The first row represents (0,0) to (0,XV), and so on in the obvious way. A dash represents a zero, an asterisk represents a one.)

Official Tableau: (image version)

(Locations mapped as above. The lighter color represents zero, the darker color represents one.)


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June 5, 2001