It was a strange round. 5 players voted too start a new round, yet only 2 of them did play, plus Garth who came in at the end. (Come to think of it though, 3 players do equal 4 players and one more would have been serious trouble because then we would have been 5 which cannot equal 3+1... It was all for the best probably). The round was also very short, and I ended up invalidating the rules I liked best. Final standings: Winner: Oerjan Score: -1 Wizard: Garth Score: 2 Ronald Score: -1 Everyone else Score: 0 (Lookahere! Zero mean scoring!) The new judge is Oerjan (who has promised to be a style point Meanie, too - haw haw haw [evil grin]). ROUND 15 - FINAL RULES SET FANTASY RULE 15:1 (Oerjan) Every fantasy rule must contain a mathematical puzzle. Every fantasy rule must answer the puzzle in the previous rule, if any. Now, what is two plus two? VERDICT: Rule 15:1 is judged VALID SCORE: -2 FANTASY RULE 15:2 (Ronald) ************** *Two plus two* *equals four!* *All Rules,* *that have a* *number that* *is a prime,* *(like mine)* *shall have* *the shape of* *a square. Is* *67 a prime,* *I ask y'all?* ************** VERDICT: Rule 15:2 is judged VALID SCORE: -2 FANTASY RULE 15:3 (Oerjan) 67 is no prime. Because when you multiply 6 by 9, you get 42, as documented in The Hitch- hiker Series. Adding 9, we get 7*9 = 51. Dividing by 3, we get 7*3 = 17, and then subtracting 7 gives us 7*2 = 10. Now 7*13 = 7*(3+2*5) = 17 + 10*5 = 67, Q.E.D. I shall leave it to my successor to show why 3 is not a prime number, either. To increase the mathematical standard of our rules, each future rule must contain a proof or a diagram, like this: 7 ---\ * }-> (7,13) ----> 67 13 --/ VERDICT: Rule 15:3 is judged VALID SCORE: 1 KUNNE's COROLLARY: Oerjan's Last Theorem (that 3 is not prime) has interesting consequences. 3 is not prime, so there must be an integer other than 1 and 3, that divides 3. This can only be 2. Hence 2*2=3 or 4=3. In Fantasy Rule terms this can only mean that Rule 15:4 is identical to 15:3! FANTASY RULE 15:5 (Ronald) *************************** *"prime" : first rate,* * fundamental.* *"odd" : irregular, * * unusual.* * * *Everybody knows that 3 is* *"odd". But an odd, that* *is, an irregular and un-* *usual number can not be* *fundamental and first as* *well. * *Hence: 3 is not prime.* *The puzzle: * *find the number that goes* *in the last corner. * * * * 5 --- 8 --- 21 * * | | | * * | | | * * | | | * * 7 --- 4 --- 15 * * | | | * * | | | * * | | | * * 19 --- 16 --- ?? * *************************** VERDICT: Rule 15:5 is judged VALID SCORE: 0 FANTASY RULE 15:i (Garth) The missing number of the square is 1. This rule shall be numbered 15:i, where i is the square root of -1. Rule 15:3 proves that 3 is not a prime. Therefore, an integer between 1 and 3 must divide evenly into 3. The only such integer is 2. Hence 2*2=3, and 3=4, as previously discussed. But if 3=4, then 3+1=4+1 and 4=5. Similarly 5=6. By the same argument, all integers after 5 are equal to 5. Additionally, all rational numbers are equal to 1, since 5/5=1. The puzzle: What numbers are left to number rules by? :) Note: 5 is not a prime, because it is equal to 67 which is not a prime. VERDICT: Rule 15:i is judged INVALID SCORE: 2 FANTASY RULE 15:e (Ronald) Their are no integers left to number my Rules. But Oerjan and I are not quite fools! N included in Z included in Q included in R included in C: there is an infinite set of numbers still left for me. All future Rules shall only be validated by Stein, when the poster has obeyed this law of mine: Thou shalt not use any more, any of the ten digits we have used before! Oerjan requires that I symbolically spell it: _ [0,1,2,3,4,5,6,7,8,9] ( ) Rule = empty ==> Rule = VALID. Dear players, no tell me: how would you *describe* the tangens of pi? VERDICT: Rule 15:e is judged INVALID SCORE: 1 ROSE's LEMMA: ALL irrationals are equal to e (or infinity)! Any irrational can be expressed as a non-repeating decimal, say for example 0.abcdefg..... But that number is just equivalent to a/10 + b/100 + c/1000 + ... Each term is rational, and so is equal to 1. So the number as a whole is 1+1+1+1+1... = infinity -- Stein stein.kulseth@tf.tele.no G=Stein;S=Kulseth;O=TF;P=tele;A=telemax;C=no;