Sunday, May 4, 2008

Pi Sudoku

The challenge is (was) to fit in as many digits of pi as possible in a sudoku grid. The first 0 that appears in pi's decimal expansion is in the 33rd digit (pi = 3. 1415926535 8979323846 2643383279 5028841971 ...), so we are trying to fit the first 32 digits in a 9x9 grid so that we will have a regular sudoku puzzle with a unique solution. You start with 3 at any square, then proceed to put 1 in a neighboring square (horizontal, vertical or diagonal), and so on. You cannot pass through a square once you used that square.

The task didn't prove too difficult. I used an online sudoku solver for help, and it seems 32 digits is not too many to fit in the grid. The solution I got:



Another challenge here could be only allowing horizontal and vertical steps.

Thursday, February 28, 2008

President Hillary Clinton

I am writing this post at February 28th, 2008. As of yet, Obama and Clinton are in a tight race which Obama seems to be leading. There is still few primaries left, and supposedly there are superdelegates who can vote either way. I am writing this to guess/estimate/prophesize that Hillary will win this race, and subsequently she will win the race for the White House and be the next president of the USA.

Few things here:

1. I do not support either candidate, and I am not a voter.

2. I believe that future, just like past can be read into. If there are enough causes for an event to happen, if that event is a logical necessity, you do not need to know the situation at hand, that event is bound to happen. The way I see things, USA just is not ready to have a non-white president, and even if the voters are ready for it, there are many levels a presidential candidate can trip over an obstacle.

3. As with any statement, there's a possibility that I may be proven wrong (if Obama wins the Democratic candidacy, or if Clinton wins the candidacy however loses the race for the White House). I have the scientific view on this: If you are wrong with your hypothesis, that means one of your assumptions is wrong or you disregarded an important cause.

I will not edit this post.

Wednesday, September 5, 2007

a geometry question - 4


AB = BC = CA
BD = 8
CD = 7
AD = 5
Find the BDA angle.

Answer:
120°
(The solution method other than a "brute force" method eludes me. I prepared this question 12 years ago, and I assume there was an easier method. If anybody knows such a method, let me know at karakusk at yahoo dot com.)

Tuesday, September 4, 2007

a geometry question - 3


BD =DC and AE = EC given.

Find the unknown angle.

Answer:
20°

Monday, September 3, 2007

a geometry question - 2


Find the unknown angle.

Answer:
70°

a geometry question - 1


Find the unknown angle.

Answer:
130°