Blog

2021
Jul 16, 2021Math
Dates in Arithmetic Progression
Can you find all dates that are in arithmetic progression?
Feb 24, 2021
Adios & Thanks for the memories, Fry’s!
Today I was saddened to hear that Fry’s Electronics is closing all their stores all across the US! In this post, Fry’s was not just an electronics store! Each outlet was a destination by itself with a unique theme. I am capturing some fond memories of all the Fry’s outlets I have visited. Fry’s was…
Feb 6, 2021
Bernify your pictures!
My Sunday afternoon hack – “Bernify your pictures!” http://geekraj.com/bernify I made this web-based tool to add Bernie to your pictures. I forked and tinkered with a photo editor based on Cropper.js/Vue, developed by Fengyuan Chen. Your images are not sent to any server. 100% privacy ensured. Once you add Bernie, you can take a screenshot…
Jan 27, 2021Math
Squares ending in xyxyxyxyxy
If a square number ( $a^2$ ) ends with xyxyxyxyxy, then xy should be one of 21, 29, 61, 69, 84, [Inspired by this Fermat’s Library LinkedIn post] To prove this, we first write $a = 5*10^9n+k$ Now, $a^2 = 25*10^{18}n^2 + 10^{10}nk + k^2$ Hence, the last 10 digits are determined by the last 10 digits of $k^2$ , $0 \leq k < 5*10^9$ . Although it is…
2020
Dec 14, 2020Math
Limiting Ratio of Tribonacci Numbers & Beyond
The Tribonacci series is 1, 1, 2, 4, 7, 13, 24, 44, … In this article, we find the limiting value of adjacent numbers.
Nov 21, 2020Math
Some Problems from Lilavati by Bhaskara II
A friend of mine posted this on LinkedIn. Quite interesting problems. It should be solvable at 8-10th grade levels. Solutions 1. Number of Apes Let A be the number of apes. It then follows: $A = \left(A/8\right)^2 + 12$ $\implies A^2 – 64A + 12.64 = 0$ $\implies A = (64 \pm \sqrt{64^2 – 48.64})/2$ $\implies A = (64 \pm 8.\sqrt{16})/2$ $\implies A = (64 \pm 32)/2$ $\implies A =$ 48 or 16 It is interesting to note there are two solutions to this problem…
Oct 22, 2020Math2 comments
An Angel Function!
I was playing with Desmos and I needed some function that would do some interesting things around a circle. I was tinkering, and accidentally found a function that draws something like an angel with wings stretched out :) $x = \left(2+2\ \sin t\right)\cos t$ , $y = \left(2+2\ \sin\ 3t\right)\sin\ t$ , $0 < t < 2\pi$ It looks like this. Does it look like an angel to you?…
Oct 21, 2020coding
Why Coding Skills Matter?
In this era of plug and play, copy/paste programming, many programmers do not take the time to hone their coding skills, which can be detrimental to their career. In this article, we explore what is meant by coding skills, why it matters, and how a person can acquire, nurture, and improve their coding skills. I…
2015
Mar 15, 20151 comment
Game of Life on Colorduino
It is Pi day, and I don’t want to let it go by without writing a blog post! So today I want to share with you a fun project I did last November, as soon as I got hold of a Colorduino. This is an implementation of Conway’s game of life. If you are not…
2014
Dec 21, 20147 comments
Arduino Christmas Ornament
I’ve been wanting to tinker with RGB LED matrix for a while, and finally was able to do so earlier this month. It was fun programming some effects, game of life etc. on a 8×8 matrix using Arduino. Here is a Christmas ornament that I programmed. It shows a color changing star followed by scrolling…

Blog

2021

Jul 16, 2021Math

Dates in Arithmetic Progression

Can you find all dates that are in arithmetic progression?

Feb 24, 2021

Adios & Thanks for the memories, Fry’s!

Today I was saddened to hear that Fry’s Electronics is closing all their stores all across the US! In this post, Fry’s was not just an electronics store! Each outlet was a destination by itself with a unique theme. I am capturing some fond memories of all the Fry’s outlets I have visited. Fry’s was…

Feb 6, 2021

Bernify your pictures!

My Sunday afternoon hack – “Bernify your pictures!” http://geekraj.com/bernify I made this web-based tool to add Bernie to your pictures. I forked and tinkered with a photo editor based on Cropper.js/Vue, developed by Fengyuan Chen. Your images are not sent to any server. 100% privacy ensured. Once you add Bernie, you can take a screenshot…

Jan 27, 2021Math

Squares ending in xyxyxyxyxy

If a square number ( $a^2$ ) ends with xyxyxyxyxy, then xy should be one of 21, 29, 61, 69, 84, [Inspired by this Fermat’s Library LinkedIn post] To prove this, we first write $a = 5*10^9n+k$ Now, $a^2 = 25*10^{18}n^2 + 10^{10}nk + k^2$ Hence, the last 10 digits are determined by the last 10 digits of $k^2$ , $0 \leq k < 5*10^9$ . Although it is…

2020

Dec 14, 2020Math

Limiting Ratio of Tribonacci Numbers & Beyond

The Tribonacci series is 1, 1, 2, 4, 7, 13, 24, 44, … In this article, we find the limiting value of adjacent numbers.

Nov 21, 2020Math

Some Problems from Lilavati by Bhaskara II

A friend of mine posted this on LinkedIn. Quite interesting problems. It should be solvable at 8-10th grade levels. Solutions 1. Number of Apes Let A be the number of apes. It then follows: $A = \left(A/8\right)^2 + 12$ $\implies A^2 – 64A + 12.64 = 0$ $\implies A = (64 \pm \sqrt{64^2 – 48.64})/2$ $\implies A = (64 \pm 8.\sqrt{16})/2$ $\implies A = (64 \pm 32)/2$ $\implies A =$ 48 or 16 It is interesting to note there are two solutions to this problem…

Oct 22, 2020Math2 comments

An Angel Function!

I was playing with Desmos and I needed some function that would do some interesting things around a circle. I was tinkering, and accidentally found a function that draws something like an angel with wings stretched out :) $x = \left(2+2\ \sin t\right)\cos t$ , $y = \left(2+2\ \sin\ 3t\right)\sin\ t$ , $0 < t < 2\pi$ It looks like this. Does it look like an angel to you?…

Oct 21, 2020coding

Why Coding Skills Matter?

In this era of plug and play, copy/paste programming, many programmers do not take the time to hone their coding skills, which can be detrimental to their career. In this article, we explore what is meant by coding skills, why it matters, and how a person can acquire, nurture, and improve their coding skills. I…

2015

Mar 15, 20151 comment

Game of Life on Colorduino

It is Pi day, and I don’t want to let it go by without writing a blog post! So today I want to share with you a fun project I did last November, as soon as I got hold of a Colorduino. This is an implementation of Conway’s game of life. If you are not…

2014

Dec 21, 20147 comments

Arduino Christmas Ornament

I’ve been wanting to tinker with RGB LED matrix for a while, and finally was able to do so earlier this month. It was fun programming some effects, game of life etc. on a 8×8 matrix using Arduino. Here is a Christmas ornament that I programmed. It shows a color changing star followed by scrolling…