A Heatmap of FACTORS using Scratch pen. Math is FUN! *Use Turbo Mode! (shift click green flag) It is advisable to read this whole thing before using this project ;) Controls: Left and Right Arrows > Move graph left or right (by 20) Up and Down Arrows > Change colour of graph (maybe also scroll) A and D > Adjust bevel effect of graph W and S > Change contrast levels of graph r > Reset these values back to default Space > Bring up sliders f > Toggle text: number and amount of factors g > Toggle list of factors h > Update list of factors 1 > Search for a number (will appear in left column of graph) 4 > If your graph glitches out, press this then click and it will be fixed 0 and 9 > Reset how high the graph can render up to (default 1000) Some cool presets: 18, 0, 12 14, 27, 9.8 31, 65, 8.3 19.5, 0, 6.4 22.5, 84, 2.2 0, 29, 2.1 7, 29, 0 Description: This was a little experiment that I made. I started getting into data visualization and I can proudly say that this is my first ever. I wanted to see what would happen if you used a heat map to colour squares according to the number of factors of its corresponding number. By factors it is not meant prime factors: e.g. 70 = 2x5x7 Rather it means all possible values (besides 1 and itself) which are factors of x: e.g. 70 = 2, 5, 7, 10, 14, 35 (which is 6 factors). If you don't know what "mod 20" means: The graph just goes down from 1-20 and then moves to the next column and goes down from 21-40 and then does the same thing over and over. Brighter squares have more factors. What is really cool about this graph is that it shows prime numbers which are kind of a big deal in math. All black squares are prime numbers (besides 1) meaning they aren't divisible by any number. Tips: When confronted with big data, it can sometimes be hard to see the correlation between its graph and what it represents. Try these few activities: 1. Starting from the one square, look down each row then move up to the next column and repeat. a) Observe how the distance between different black squares fluctuate. b) Slowly contemplate that each square represents its own number. c) Observe how the brightness of the squares change over time. 2. Try to find perfect squares (2x2=4, 3x3=9, etc.). Observe the number of factors for each square. 3. Looking from the side, observe how the number (1-10) describes what digit the number will end in. a) Look at which digits prime numbers likely end in b) Look at which ending digits, make a higher number of factors. Think about how this happens, i.e. any number ending in 5 is a multiple of 5 and therefore cannot be a prime. 4. Look at the digits horizontally from 20. These are the numbers ending in 0 and whos first digit is even. Why are the numbers beside 20 so much brighter than the rest? (Think about the factors of 20) 5. Look at the graph in general. Observe how the graph gets lighter as the numbers increase. Notice how the number of primes decrease over the x axis. 6. Look for other patterns. Investigate any question you have with the tools. Try to explain certain phenomenon you see. and 7. Just try to appreciate the overall beauty of this simple yet stinning visualization. Remember that this is all a simple concept. Have fun! Credits: —Adapted factor finder from Change Log: 29.09.2018 Initial release (1.1) Troubleshooting issues (1.2) Changed the default starting value from 2080 to 1000 30.09.2018 (1.3) Updated Render Method —2.0— (2.0) Added list of factors, Added "f" text box toggle (2.1) Added "h" text box toggle
