December 28th, 2016, 06:54 AM  #1 
Senior Member Joined: Dec 2012 Posts: 917 Thanks: 23  Two Hands Clock
Here a serie of nice Power bijection (what I call Complicate Modulus Algebra) n=2: n=3: And so on using $M_n= (X^n(X1)^n)$ ... With some work it can be pulled into the Rationals too. The first fact it's trivial (but has lot of conseguences): Theorem 1: No Irrationals Values / Angles, can be reached with such clocks. If you can prove your value (f.ex. $A^n+B^n$ ) lead to a root depending by an Irrational, you prove you can't use Integer / Rational, Powers or Roots, to rise it. Ciao Stefano Last edited by complicatemodulus; December 28th, 2016 at 07:02 AM. 

Tags 
clock, hands 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
How to find the angle between clock hands  burgess  Trigonometry  8  June 25th, 2014 11:39 AM 
Finding the angles of the two hands of a clock  josh2499  Algebra  2  March 28th, 2012 07:26 AM 
Hands of Clock  TheMytique  Applied Math  2  April 18th, 2011 12:06 PM 
the clock hands  Monique20  Number Theory  4  August 16th, 2010 10:47 AM 