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Welcome to perplexus.info, flooble's perplexing puzzle portal. Here, we collect all sorts of puzzles, from simple logic questions and word tricks to in-depth math problems like probability and geometry. Click around and see if your brain is up to the task! If you're new here, make sure you sign up so that you can leave comments and submit your own problems!
> Logic> Probability> Shapes (1)> General
> Numbers (1)> Games> Paradoxes> Riddles
> Just Math (3)> Science> Algorithms
<begin> For a triangle with integer sides a,b,c (none over 2000) evaluate the triplet of its medians ma , mb , mc .
Let those three become sides of a new triangle i.e. (a,b,c) =(ma , mb , mc ).
<end>

It is up to you to find a triplet (a,b,c) such that the above procedure can be executed a maximal number of times, creating sets of “medians“ with integer values only.

The answer should include: (a,b,c) and all interim sets of medians.

Rem: Can be solved analytically.

(No Solution Yet, 5 Comments) Submitted on 2014-12-20 by Ady TZIDON   
Difficulty: 3 of 5 Bonus: Sequence E.T. cetera (in Cryptography) Rating: 3.33
Call me a "simple Simon", but I think this one hurts. Find the next 4 digit number in the sequence, and explain.

2084 1816 1979 1816 2106 2329 1943 2247 2106 2084 2106 2188 2329 2061 2329 2084 1943 2084 2188 1979 2247 1943 2247 1979 2084 2084 2188 2084 1943 2061 2329 2106
(Solution Posted, 11 Comments) Submitted on 2005-04-05 by Larry   
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Posted on 2014-12-12 by Ady TZIDON (No Solution Yet, 2 Comments)

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