I have used various graphics packages to hunt for a quartic formula. Over the years I had settled for a formula that is one order down, the cubic formula. For a polynomial of the form $latex f(x) = ax^3 + Continue Reading
The Lo Shu method generated the only 3×3 magic square that exists (rotations and reversals of the same 3×3 arrangement notwithstanding), and was the first magic square known to be discovered by humans, over 3000 years ago in China. Because Continue Reading
Pedagogical content knowledge is a type of knowledge that is unique to teachers, and is based on the manner in which teachers relate their pedagogical knowledge (what they know about teaching) to their subject matter knowledge (what they know about Continue Reading
I was playing with a geometry software package and decided to explore Thales Theorem. The theorem states that for any diameter line drawn through the circle with endpoints B and C on the circle (obviously passing through the circle’s center Continue Reading
There has been a lot of interest recently in the Collatz Conjecture. A lot of video blogs are going into it, particularly Numberphile, a vlog present on YouTube. It might have something to do with the fact that this year Continue Reading
For π day 2017, this video posted back in 2015 about Pi day, 2019. That is when 2015 students graduate at MIT. Students at MIT registering in 2015 would now be in their second year.
Even-ordered magic squares are not difficult just because they are even, in my opinion. They are difficult to design because their order is composite. My experience has shown that by far the easiest to design are magic squares whose order Continue Reading
This article was inspired by a vlog from Numberphile, on the discussion of “5040: an anti-prime number”, or some title like that. A contributor to the OEIS named Jean-François Alcover came up with a short bit of Mathematica code that Continue Reading
The Lucas sequence follows the same rules for its generation as the Fibonacci sequence, except that the Lucas sequence begins with t1 = 2 and t2 =1. Lucas numbers are found in the petal counts of flowing plants and pinecone Continue Reading
It seems that there are a lot of videos celebrating π. Here is one of a person setting up a domino spiral with π in the center of it.