2016-07-30, post № 135

**programming**, **Pygame**, **Python**, #clock, #complex number, #hour, #minute, #plane, #time

Interpreting the hour hand on a clock as a two-dimensional object on a plane, the hand’s tip can be seen as a complex number.

This clock converts the hour hand’s position into a complex number, sets the number’s length to the current minutes and displays it in the form .

The angle 𝜑 is determined by the hours passed () but has to be slightly modified because a complex number starts at the horizontal axis and turns anti-clockwise whilst an hour hand starts at the vertical axis and turns — as the name implies — clockwise. Thus, .

The complex number’s length is simply determined by the minutes passed. Because the length must not be equal to 𝟢, I simply add 𝟣: .

Lastly, to convert a complex number of the form into the form , I use the formula .

2016-07-23, post № 134

**programming**, **Python**, #calculation, #date, #day, #month, #time, #year

Determining the weekday based on a date composed of day, month and year.

The program counts up all the days from the 1st of January 1 to the given date, divides it by 𝟩, looks at the remainder and returns the weekday.

2016-07-16, post № 133

**programming**, **Python**, **Wolfram Language**, #equation, #number, #number theory, #numbers, #OEIS, #square, #triangle, #triangles

In a recent video, Matt Parker showed a triangular number that also is a square number, 𝟨, and asked if there were more.

A triangular number has the form — shown by Euler — and a square number has the form .

Triangular squares are those numbers for which with .

Examples are (sequence A001109 in OEIS).

To check if triangular numbers are square numbers is easy (code listed below), but a mathematical function would be nicer.

The first thing I tried was to define the triangular number’s square root as a whole number, . This function does not return the square numbers that are triangular but the triangular numbers that are square.

The resulting sequence is (sequence A001108 in OEIS).

2016-07-09, post № 132

**games**, **programming**, **Pygame**, **Python**, #blue, #color, #colors, #colour, #colours, #green, #guess, #guessing, #red

This is a clone of The Great RGB Guessing Challenge. The challenge works like this: You are presented three numbers ranging from 𝟢 to 𝟤𝟧𝟧 representing a rgb color and three color bubbles. To get a point you must choose the color bubble corresponding to the rgb values. The more points you get, the higher your score.

## Controls

- Click on the bubble to choose it.

2016-07-02, post № 131

**mathematics**, **programming**, **Python**, #p(n), #sum

To get a number’s palindrome in a programming language like python is easy. There are ways to swap between integer and string and strings can be manipulated.

>>> n = 1234
>>> int(str(n)[::-1])
4321

But I wanted to create a mathematical function 𝑝(𝑛), which returns an integer’s palindrome. Thus 𝑝(𝟣𝟤𝟥𝟦) = 𝟦𝟥𝟤𝟣.

Firstly, I needed a way of determining the number’s size. In base 𝟣𝟢 the length is calculated using the logarithm to said base.

Secondly, I need a way to isolate a specific digit. Using the floor function, this function returns the 𝑖-th digit (starting on the right with 𝑖 = 𝟢).

Thirdly, both of these functions can be used to split up the number into a sum.

Fourthly, I only need to swap the power of ten at the end to get my palindrome function.

Thus the final function 𝑝(𝑛) is defined.

To check if the formula is correct, I use 𝟣𝟤𝟥𝟦 (as seen above).

2016-06-25, post № 130

**games**, **programming**, **Pygame**, **Python**, #color, #color memory, #memeory, #memory game, #remember, #sequence, #Simon, #Simon Says

This game is a recreation of the famous game Simon. In the game there are four colors which form a sequence that is expanding every cycle. The aim of the game is to memorize said sequence as far as possible.For more information on the Simon game visit this Wikipedia entry.

## Controls

- Click on the colored buttons to press them.

2016-06-18, post № 129

**programming**, **Python**, #number words, #numbers, #numbers to words, #numeral, #words

This program takes a number and calculate it’s linguistic numeral.The number 𝟥 returns the numeral ‘three’, 𝟧𝟪 returns ‘fifty-eight’ and 𝟥𝟣𝟦𝟣𝟧.𝟫𝟤𝟨𝟧𝟥𝟧 returns ‘thirty-one thousand four hundred fifteen point nine two six five three five’.

2016-06-11, post № 128

**art**, **haiku**, **poetry**, #anim gif, #animated, #animated gif, #cliff, #fall, #foliage, #gif

A leaf on a tree

gets blown away by the wind

and falls down a cliff.

Posts:

287-280, 279-272, 271-264, 263-256, 255-248, 247-240, 239-232, 231-224, 223-216, 215-208, 207-200, 199-192, 191-184, 183-176, 175-168, 167-160, 159-152, 151-144, 143-136, **135-128**, 127-120, 119-112, 111-104, 103-96, 95-88, 87-80, 79-72, 71-64, 63-56, 55-48, 47-40, 39-32, 31-24, 23-16, 15-8, 7-1Jonathan Frech's blog; built 2024/05/27 06:43:58 CEST