*This is not a puzzle. So, for those of you who follow this puzzle blog, please bear with me for just one post. Interesting Math in this article though :P*
Most of my friends already read an article that I wrote more than an year back - "

Speak Up"

Here, inspired by the movie, The Beautiful Mind, I give a mathematical analysis of asking a girl out. Nice time it is. Feb 10. No plans for Feb 14 and I am sure this article makes me look even more geekier and all the more reason for me to believe that I will be alone, yet again. But what the hell, lets do it!

Note: This is not an independent analysis. There are many "mathematics sites" which does "similar" analysis.

@Consultants, correct me if I am wrong in my estimates. :P

Why is there a need to be selective?

From the age of 15, I guess there are approximately 3,600 girls I have liked (On average days, I don't see new girls. But going outside, I like about 30 girls. Saying that I go out once every week right …

divide the triangle into 16 congruent equilateral triangles (by the obvious method). Now number them 1-16.. as 1 for the top one, 2 3 4 from left to right of the next three and so on

ReplyDeleteSo we are removing the bottom left part i.e 5,10,11,12..

the 4 congruent parts are: (1,2,3),(6,7,13),(14,15,16) and (4,8,9)

Draw a triangle ABC with P, Q and R as mid-points of AB, BC and CA respectively. Remove the triangle PQB (as asked in the question).

ReplyDeleteLet mid-points of AR, PR, QR and RC be X, Y, Z and W respectively. Join XY, YZ and ZW.

Thus, the four identical shapes are:

AXYP, PYZQ, XYZW and ZWCQ :)

@Siddhant, Shaunak..

ReplyDeleteBoth the solutions are correct (and identical!)

@Shaunak.. Nice explanation. Thanks!

P is midpoint of AB, Q is midpoint of BC, R is midpoint of CA. Remove triangle PQB. Divide segment PQ into 4 parts of ratio(1:5:1:1)by points P1 PQ1 and Q1 . Divide AC into 4 segments of ratio(5:1:5:5) by points P2 PQ2 and Q2 [Note that PQ:AC=1:2]. 4equal parts are A P P1 P2, P1 P2 PQ1 PQ2, PQ1 PQ2 Q1 Q2 , Q1 Q2 C Q

ReplyDelete