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Fourth Sunday in Advent

2015-12-20, post № 92

art, #Advent, #animated, #animated gif, #candle, #fourth, #fourth candle, #fourth Sunday in Advent, #fourth Sunday of Advent, #gif, #pixel guy, #Sunday

Lighting the fourth candle…

fourth-sunday-in-advent.gif

𝜋 Approximation

2015-12-19, post № 91

mathematics, programming, Python, #approximating, #approximation, #circle, #circle constant, #constant, #Euler, #infinite, #infinite sum, #pi, #sum

Using an infinite series shown by Euler, 𝜋 can be approximated.
The series goes as follows: \sum\limits_{n=1}^{\infty}\frac{1}{n^2}=\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+\dots=\frac{\pi^2}{6}
By rearranging the equation, you get the following: \pi=\sqrt{6\cdot\big(\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+\dots\big)}

pi-approximation.png
Source code: pi-approximation.py

Third Sunday in Advent

2015-12-13, post № 90

art, #Advent, #animated, #animated gif, #animation, #gif, #pixel candle, #pixel guy, #third, #third candle, #third Sunday, #third Sunday in Advent, #third Sunday of Advent

Lighting the third candle…

third-sunday-in-advent.gif

Mandelbrot Set

2015-12-12, post № 89

mathematics, programming, Pygame, Python, #colorful, #complex, #fractal, #f_c(z) = z^2 + c, #imaginary, #iterating, #iteration, #Mandelbrot, #repeating, #self-repeathing, #set

Working with complex numbers and iterating the function f_c(z)=z^2+c, I created this program which lets you explore the depth of this self-repeating fractal. The different colors are caused by different color schemes.

Controls

  • Left mouse click and mouse movements control the zoom frame,
  • Middle mouse click zooms in,
  • ‘Space’ takes a screenshot,
  • ‘F1’ moves a zoom back,
  • ‘F2’ zooms to default zoom.
mandelbrot-set-188_-6.75_-4.5_6.75_4.5.png
mandelbrot-set-181_-0.17466172461436666_-1.0720840874732396_-0.1746617232046618_-1.0720840865334365.png
mandelbrot-set-142_-0.16101577503429365_-1.0369693644261544_-0.16019958847736634_-1.0364252400548697.png
mandelbrot-set-124_0.25_-0.04999999999999982_0.40000000000000036_0.04999999999999982.png
mandelbrot-set-052_0.18276898469650216_-0.5821251321730682_0.18311316336591232_-0.5818956797267948.png
Source code: mandelbrot-set.py
Extra assets: mandelbrot-set-000.png, mandelbrot-set-001.png, mandelbrot-set-002.png, mandelbrot-set-003.png, mandelbrot-set-004.png, mandelbrot-set-005.png, mandelbrot-set-006.png, mandelbrot-set-007.png, mandelbrot-set-008.png, mandelbrot-set-009.png, mandelbrot-set-010.png, mandelbrot-set-011.png, mandelbrot-set-012.png, mandelbrot-set-013.png, mandelbrot-set-014.png, mandelbrot-set-015.png, mandelbrot-set-016_-6.75_-4.5_6.75_4.5.png, mandelbrot-set-017_-0.9000000000000004_-0.3250000000000002_-0.6624999999999996_0.0.png, mandelbrot-set-018_-0.17750835905349785_-1.04787792924097_-0.13265217764060344_-1.0179738082990402.png, mandelbrot-set-019_-0.1623148148148149_-1.0489506172839502_-0.15666666666666673_-1.0451851851851848.png, mandelbrot-set-020_-2.1125_-0.07500000000000018_-1.3624999999999998_0.037499999999999645.png, mandelbrot-set-021_-1.4625000000000004_-0.13750000000000018_-1.1875_0.13750000000000018.png, 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mandelbrot-set-193_-0.3731146980546613_-0.6624365468102916_-0.3730613324811546_-0.6624009697612872.png, mandelbrot-set-194_-0.3730913259099681_-0.6624228265872265_-0.373083271661374_-0.6624174570881638.png, mandelbrot-set_failure-1.py, mandelbrot-set_failure-2.py, mandelbrot-set_failure-3.py, mandelbrot-set_v3-different-coloring.py, mandelbrot-set_v3-f_c-of-z-equals-z-cubed-plus-c.py

Second Sunday in Advent

2015-12-06, post № 88

art, #Advent, #animated, #animated gif, #animation, #candle, #gif, #pixel candle, #pixel guy, #second, #second Advent, #second candle, #second Sunday, #second Sunday in Advent, #second Sunday of Advent, #Sunday

Lighting the second candle…

second-sunday-in-advent.gif

c’t Racetrack II

2015-12-05, post № 87

games, programming, Pygame, Python, #advanced, #c't, #c't-Racetrack, #car, #car race, #race, #racetrack, #vertrac't

Since the 30th of November 2015 the contest is over. The code is now visible in my post c’t-Racetrack. In this time I improved my program and added a semi-working collision detection (unfortunately it does not cover every case), a helper function (will not allow you to make an invalid move) and an additional view mode (lets you only see the car’s path).

Controls

  • Mouse movement changes the new acceleration vector applied in the next step,
  • Left click moves one step,
  • Right click is a undo for the latest move,
  • Middle click moves the frame,
  • ‘F1’ toggles view mode,
  • ‘F2’ takes a screenshot,
  • ‘F3’ exports current moves,
  • ‘F4’ resets the game,
  • ‘h’ toggles helper.
ct-racetrack-ii-13.png
Source code: ct-racetrack-ii.py

First Sunday in Advent

2015-11-29, post № 86

art, #Advent, #animated, #animated gif, #candle, #first, #first Advent, #first candle, #first of Advent, #first Sunday, #first Sunday in Advent, #first Sunday of Advent, #gif, #pixel, #pixel candle, #pixel guy, #Sunday

Lighting the first candle…

first-sunday-in-advent.gif

Sleeper

2015-11-28, post № 85

programming, Python, #sleep, #snore, #time, #time.sleep(), #z

Taking time.sleep() to the next level.

sleeper.png
Source code: sleeper.py

Bubbles

2015-11-22, post № 84

programming, Pygame, Python, #background, #bubbles, #color, #gfx, #pygame.gfxdraw()

Playing around with pygame.gfxdraw(), I created this program, which just draws some bubbles on the screen.

bubbles.png

Text Spinner

2015-11-21, post № 83

programming, Pygame, Python, #black, #input, #red, #red letters, #round, #spin, #text, #text input

This program lets you input text and spins it around the center!

Controls

  • Text input (alphabet, space and punctuation) inputs text,
  • ‘F1’ takes a screenshot.
text-spinner-1.png
text-spinner-2.png
text-spinner-3.png
Source code: text-spinner.py

Sailing

2015-11-15, post № 82

art, #beach, #boat, #ocean, #pixel, #pixel guy, #sea, #ship, #water

The little pixel guy wants to cross the water. He comes up with a good idea!

sailing.gif