Talk:Alignments of random points

message: Perhaps this page could be developed positively to deal with a realistic appraisal of the question of the alignement of random points.Harry Potter 21:19, 5 Aug 2003 (UTC)
thread_title: Comments

message: "...estimate of the likelihood of alignments, assuming a plane covered with uniformly distributed "significant" points."
I thought the idea was that the points are distributed randomly, not uniformly. Davilla 20:43, 29 August 2006 (UTC)
replies: text: The random points are distributed uniformly, i.e. they occur with equal likelyhood everywhere, as opposed to being clustered in one corner. linas 14:22, 14 September 2006 (UTC)
thread_title:  Uniform distribution 

message: Davilla 20:45, 29 August 2006 (UTC)
replies: text: I'm removing the OR tag as there is no explanation as to why you think its OR. It looks plausible to me.  linas 14:22, 14 September 2006 (UTC)
thread_title:  Original Research 

message: This looks like it might be relevant:
 Alignments in Two-Dimensional Random Sets of Points
 David G. Kendall and Wilfrid S. Kendall
 Advances in Applied Probability
 Vol. 12, No. 2 (Jun., 1980), pp. 380-424
 Published by: Applied Probability Trust
 Article Stable URL: http://www.jstor.org/stable/1426603 
-- 80.168.164.171 (talk) 18:08, 23 February 2013 (UTC)
replies: text: Cool. I've added it to the article. -- The Anome (talk) 10:58, 8 May 2014 (UTC)
thread_title:  Possibly relevant paper? 

message: * "Landscape alignments among 21 natural features and 61 Anasazi great kiva sites on the Southern Colorado Plateau: a comparison with random patterns" 
* The expected number of alignments in a random set of points 
* Point pattern analysis with Past 
* Hammer, Ø. 2009. "New methods for the statistical detection of point alignments." Computers & Geosciences 35:659 - 666. doi:10.1016/j.cageo.2008.03.012 
* "Comprehensive Strip Based Lineament Detection Method (COSBALID) from point-like features: a GIS approach" doi:10.1016/j.cageo.2003.09.004
* "Numerical recognition of alignments in monogenetic volcanic areas: Examples from the Michoacán-Guanajuato Volcanic Field in Mexico and Calatrava in Spain" 
Lineament is a nice word used in the geological sense to refer to linear features.
-- The Anome (talk) 23:57, 14 May 2014 (UTC)
replies: text: MFlet1 Very funny. Not as funny, we have Tom Brooks (writer) which more or less takes him seriously. Dougweller (talk) 17:12, 17 March 2015 (UTC)
thread_title:  More relevant stuff... 

message: In my opinion the Torah Codes seem to be essentially based on the same sort of cognitive phenomenon as ley lines: the power of combinatorial explosion in creating apparently impossible coincidences overwhelms intuition, leading to conviction that something deep and mysterious has been found. -- The Anome (talk) 23:48, 14 May 2014 (UTC)
thread_title:  Similarity to the Bible Code phenomenon 

message: For non-math experts, the equations are hard to visualize. Could they be graphed to show the relationship between n and k? 198.96.2.93 (talk) 15:22, 27 February 2020 (UTC)
thread_title:  Graphs 

message: The problem of "Alignements of random points" is not even defined! The article must start by defining it first. I cannot even manage to understand what this article is about at all.  — Preceding unsigned comment added by 207.134.139.130 (talk) 15:32, 21 March 2018 (UTC)
replies: text: I rewrote the first few sentences. McKay (talk) 05:36, 10 March 2023 (UTC)
thread_title:  Lead 

message: The Furstenberg set conjecture sounds like it would be relevant to this: 
* https://www.quantamagazine.org/mathematicians-cross-the-line-to-get-to-the-point-20230925/
* https://isp.page/news/the-furstenberg-set-conjecture-a-longstanding-mathematical-puzzle-finally-solved/
* https://arxiv.org/abs/2308.08819
— The Anome (talk) 14:26, 29 September 2023 (UTC)
thread_title:  Furstenberg set conjecture