All classes attended a Math and Art exhibition put on by ANU.
8 : Zoltan : Proof of ToT 2006 Spring JO Q2.
9 : Tryon : Mathemagic - Part 1
10: ????? : Make biggest sequence of cardinals from 4 single
digit numbers and + - x / ^ operators.
11&12 : Peter : Group axioms and examples.
8 : Zoltan : Half solved ToT 2006 Spring JO Q3.
9 : Elizabeth : Towers of Hanoi ... Induction.
10: ????? : Ants walking in a square problem.
11&12 : Peter : Rings, modular arithmetic, unit groups (Z/NZ)*.
8 : Zoltan : ToTT 2006 Spring JO Q3 explicit working.
Talked through Q5.
9+10:Ralph : A study of the addition and multiplication
tables for Z/NZ when N=2,3,4,5,6,7,8.
Compared N=prime to N=composite and noticed
the former were all fields ... but not the latter.
11+12:Peter: Rings, mostly Z/NZ. Claim axb=0 --> no inverse to a or b.
Claim in Z/NZ there is a^{-1} iff (a,N)=1.