Sunday, October 01, 2023

## Potential Sculpture Designs

Here’s a quick scratch pad note about a couple of shapes (one is hyperbolic paraboloid and another one has no name…will have to come up with an artificial one!)…playing with the equations a+b+c=bc and a+b+c=abc Their shapes are mesmerizing to me and in addition to them being artistic, cool, I also see practical uses of […]

## Tip: Matrix to a column transpose

You have a table or a matrix composed of several columns and rows. Your objective is to transform it into a single continuous column using all the values from the matrix. So, you have this: And you want this:   How would you do it? There isn’t a simple formula that I could find (or […]

## The 3n+1 Problem & More! (Part 2)

This is a continuation (part 2) of my blog titled The 3n+1 Problem & More!  I recommend you read that first to get the context, or it’ll be really boring or at least confusing 🙂 In the previous blog we generated a sequence of numbers starting from ANY number and converging to 1…always! I also […]

## The 3n+1 Problem & More! (Beyond Collatz)

Recently, I was reading a post about an mathematical formula when applied to any number (positive integers) will end up at 1, no matter odd or even. It’s called the 3n+1 problem or the Collatz Conjecture. So, of course, I tested the theory and sure it works. Actually, when you think about it, it’s no […]

## What is the mean age of 11-15?

This is an easy question “What is the mean age of 11-15?” really but it’s worth for people to understand the different concepts and differences between “mean“, “arithmetic mean“, “statistical mean“, “average“, “midrange“, “median“, and “mode“. The arithmetic mean and average are the same thing. So, if you find the average of the numbers 11 to […]

## y^2 = -x and x= 2y…so?

y^2 = -x and x= 2y; and neither can be zero. Solve for x and y 🙂 Fun one. If I share the solution, it’d be no fun, but I’ll give you a hint below (you can do this) but do the process to get to this 🙂

## Beauty of sequence…

Someone sent me this found on the web. Very interesting sequences and numbers patterns.

## More Metamobius Prototypes

Welcome back. In a recent post, I talked about my most favorite geometric shape here. Continuing with that “obsession”, here are a handful of more prototypes of Metamobius shapes. The algorithm generates different shapes…I don’t know the limit yet (can be in thousands as far as I can tell), but I’ve selected a few that just […]

## Break Time…Cube inside a square!

Howdy, so this one I really enjoyed because it has so much practical applications…no? Ok, at least we should ALL know this! This question and solution comes from Quora. And I posted it also on my Quora blog, but don’t bother following me everywhere…this place is enough, so I’m posting it here as well. Challenge: […]

## My Favorite Shape!

Howdy! Let me share with you a personal bit…my most favorite shape in the world (to-date, known to man so far) is Metamobius! Invented/discovered by Ted Gibbons of ON. There’s very little information on this on the Internet at the time of this accidental discovery, but I’m sure it’ll get more populated. Anyway, his algorithm […]