# 𝜑 generator

2015-04-09, post № 15

mathematics, programming, Python, #Fibonacci, #generates, #generator, #golden ratio, #𝜑, #phi, #ratio, #simulation, #terminal, #the golden ratio

This program generates 𝜑, also called the golden ratio. It creates the fibonacci sequence $\big\{1,1,2,3,5,8,13,\dots\big\}$ and divides the newly generated number by the last one. In theory this program would generate exactly [1] 𝜑.

## Fibonacci sequence

• $\text{Start: }x_1=1\text{ and }x_2=1$
• $\text{Generation: }x_n=x_{n-1}+x_{n-2}$
• $1+1=2$
• $1+2=3$
• $2+3=5$
• $3+5=8$
• $5+8=13$
• $8+13=\dots$

## The golden ratio (𝜑)

• $\phi\text{ is the ratio between }x_n\text{ and }x_{n-1}\text{.}$
• $\phi=\frac{x_n}{x_{n-1}}$
Source code: phi-generator.py

# Bobbles

2015-04-08, post № 14

programming, Pygame, Python, #blue, #change, #changing, #circle, #color, #different, #different colors, #entity, #experiment, #fill, #generates, #generator, #movement, #refill, #spawn, #spawn in, #spawn time, #spawning

In this program you can spawn in circular entities. Their color is defined by their position and they will move randomly across the screen. You can also toggle if their spawn time (in ticks) is shown or not and if the screen gets refilled.

## Usage

• Left-clicking spawns in a new entity (at current mouse position),
• ‘f’ toggles if the screen gets refilled (view example number 3 for reference),
• ‘n’ toggles if numbers are shown.
Source code: bobbles.py