February 6th, 2017, 07:21 AM  #1 
Member Joined: Feb 2017 From: Canada Posts: 30 Thanks: 1  A different view of the triangle
So I was doing some primitive math with the triangle and I stumbled on a view that I had never encountered before. I have always known the triangle to be the standard 3x3 configuration (meaning there are 3 sides and 3 points). When I was doing these primitive calculations, I got a 4x2 statement where only 2 points and 2 sides were defined; the 3rd point and side were dynamic/silent. I found this intriguing and have still to do the definition and math behind it. Cheers
Last edited by skipjack; February 6th, 2017 at 03:04 PM. 
February 6th, 2017, 03:06 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 17,739 Thanks: 1361 
How did you manage to define a second side without using a third point?

February 6th, 2017, 11:15 PM  #3 
Senior Member Joined: Dec 2012 Posts: 1,027 Thanks: 24 
Sure you don't miss the definition of the Origin ?

February 7th, 2017, 12:29 AM  #4 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,293 Thanks: 442 Math Focus: Yet to find out. 
Dynamic/silent? Are the sides and points ninjas?

February 7th, 2017, 08:00 AM  #5 
Member Joined: Feb 2017 From: Canada Posts: 30 Thanks: 1 
I wasn't planing to do the math behind the 4x2 statement, but I saw 3 interesting replies to my definition of the triangle... so I sat down and worked on it for a bit. I was trying to define and at the same time to work with your questions and I concluded indefinitely that one of the answers is "the definition of the line". If you define the line properly, you will be able to say that in a triangle only one of the points has to be dynamic to make it a dynamic triangle instead of a static one like the statement 3x3 defines.
Last edited by skipjack; February 7th, 2017 at 04:55 PM. 
February 8th, 2017, 01:36 AM  #6  
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,039 Thanks: 674 Math Focus: Physics, mathematical modelling, numerical and computational solutions  Quote:
What do you mean by "primitive calculations"? What do you mean by a "statement"? What do you mean by "dynamic/silent"?  
February 8th, 2017, 02:31 PM  #7 
Member Joined: Feb 2017 From: Canada Posts: 30 Thanks: 1  3x3 and 4x2
A configuration in the case of the Triangle consists of 3 point and 3 sides, And that is the universal rule of a Triangle. A 3x3 statement is as follows: ( point),(side), (point), (side), (point), (side). The Array starts with a (point) and ends with a (side) that's the 2 in the statement 4x2, the four is the sum of the remaining sides and points. In the statement (4)x2 the four represents 2 pairs of (points) and (side) which are defined, they have a (point) and a (side). The Elements are further explained unlike the remaining (point) witch starts the array and the (side) that ends the array. These two lonely elements need to be defined just like the two pairs in the middle. In order to define those two undefined elements a point and a side, you have to close the array. You can close the array by examining the 4x2 statement which is as follows: (point)x3 and (sides)x3. Which loops as back to the 3x3 statement but with an explanation, that is far more advanced than just drawing a triangle and saying I made a triangle. Your statement “4 points and 2 sides” is not flawed because it pinpoints the lonely element of the (point) and the other statement that is in close proximity to it is the statement “4 sides 2 points” witch pinpoints the lonely (side) of the array in 3x3 triangle. This concludes that there is a (point) and a (side) in the case of the triangle that can be dynamic(defined) or silent(not defined). Hence giving us the right to define the triangle as we wish when we close the array. Of course it is more complicated because in a 3x3 triangle we are allowed to put any random value and call it any triangle which makes us escape from the math. The math of “the point” and the math of the “line” and so forth. I hope this gives you an insight why there are only 4 elements defined in the statement 4x2 and 2 elements are “floating”. This is part of the “why” when you draw a triangle. Now I call these “primitive calculations” because they are older than planet Earth. A statement is an element within a rule and part of that rule. Can you guess which is the statement 1x5? Last edited by skipjack; February 9th, 2017 at 01:50 AM. 
February 8th, 2017, 03:49 PM  #8 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,570 Thanks: 613 Math Focus: Wibbly wobbly timeywimey stuff. 
Oh, heck. Why not let things get really interesting and draw the triangles on a Klein bottle? You'd get some really neat stuff like a triangle that intersects itself. Dan 
February 8th, 2017, 04:39 PM  #9 
Member Joined: Feb 2017 From: Canada Posts: 30 Thanks: 1  In defence.
I wonder how many times you can intersect a triangle and call it an accomplishment and win a trophy that looks like a Klein bottle? (Btw, I had to google what a Klein bottle is to check whether you are a genius who had something to contribute in my thread.)
Last edited by skipjack; February 10th, 2017 at 01:19 AM. 
February 8th, 2017, 05:32 PM  #10 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,878 Thanks: 2240 Math Focus: Mainly analysis and algebra  Nope. It's clear as mud. That sounds like pseudomystical balderdash. It's the sort of statement designed to cast doubt on everything else you write and also your sanity. Last edited by skipjack; February 10th, 2017 at 01:20 AM. 

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