Shadow

Thinking about vectors and polygons a bit more, I came up with an idea to mimic shadows. In this program you can create colorful polygons with no limited quantity of individual points anywhere on the screen. Furthermore you then can move a light source (represented as a yellow circle) to change the polygon’s pitch black shadow.

A few polygons A few polygons, light source moved

The shadow can also be modified in that its distance to the polygon can be changed. To understand the shadow’s creation, there is also an option to visualize the path the light would – in reality – go.

A few polygons, light lines shown Jblog text and triangles, light source in center

Due to the shadow not changing in size (only in distance to its polygon) but rather in distance, I implemented the option to get a grid as the background. That way you more have the impression that the shadow is casted onto another surface beneath the surface containing all the polygons and not floating on the same surface.

A few polygons, light lines and grid shown A few polygons, grid shown Jblog text and triangles, grid shown

To have a nice contrast from the polygons to their shadow, I decided to give every polygon a randomly assigned color by creation.

Jblog text and triangles

Lastly the program will save every polygon that has been drawn in a file called ’tiles.txt’. It will be saved in the current working directory (in short ‘cwd’). If you create a new polygon or change the color of an existing one, it will automatically be saved.

Usage

  • right-clicking moves the light source
  • left-clicking adds one new point (for polygon creation)
  • left-clicking in flowdraw-mode adds points while holding the button
  • middle-clicking will connect the new points and create another polygon
  • scrolling (mouse wheel) changes the shadow-polygon distance
  • scrolling while holding ‘space’ changes the distance ten times as rapid
  • ‘l’ toggles if the path of the light is shown
  • ‘b’ toggles if the background grid is shown
  • ‘f’ toggles flowdraw-mode
  • ‘r’ removes the polygon containing a point nearest to the mouse courser
  • ‘c’ changes the polygon’s color containing a point nearest to the mouse courser
  • ‘s’ lets you manually save your progress
  • all the key bindings can be changed by linking – in the code posted below – ‘main.keys.X’ to another ‘pygame.K_X’.

Jblog text and triangles, grid shown
An example how ’tiles.txt’ can look (here for drawing ‘Jblog’ and some triangles).

main.TILES.append( tile([[266, 194], [267, 194], [268, 194], [269, 194], [270, 194], [274, 194], [276, 195], [278, 195], [280, 195], [282, 195], [284, 195], [287, 195], [289, 195], [292, 195], [295, 195], [299, 196], [303, 196], [307, 196], [310, 197], [313, 197], [315, 197], [316, 197], [318, 197], [319, 197], [321, 197], [323, 197], [324, 197], [326, 197], [326, 198], [326, 199], [326, 207], [326, 208], [326, 209], [326, 211], [325, 213], [325, 215], [325, 217], [325, 219], [325, 221], [325, 224], [325, 227], [325, 230], [324, 236], [323, 242], [322, 249], [322, 256], [322, 263], [320, 270], [320, 276], [320, 281], [320, 285], [320, 289], [320, 293], [320, 297], [320, 300], [320, 303], [320, 306], [320, 309], [320, 312], [320, 313], [321, 315], [321, 316], [321, 317], [321, 318], [321, 319], [321, 320], [321, 321], [321, 322], [321, 323], [321, 324], [321, 325], [321, 326], [321, 327], [321, 328], [321, 329], [321, 330], [321, 331], [321, 332], [321, 333], [321, 334], [317, 334], [317, 335], [316, 336], [312, 336], [311, 336], [310, 337], [310, 339], [309, 339], [308, 339], [307, 340], [306, 340], [305, 340], [304, 341], [303, 341], [302, 341], [301, 341], [299, 341], [298, 341], [298, 339], [296, 339], [294, 338], [292, 337], [290, 336], [287, 335], [284, 333], [282, 331], [280, 330], [277, 328], [276, 326], [276, 325], [275, 323], [274, 321], [273, 320], [273, 318], [273, 317], [273, 316], [273, 315], [273, 313], [273, 312], [273, 311], [273, 310], [273, 309], [275, 307], [275, 306], [275, 305], [277, 304], [278, 303], [278, 302], [280, 302], [281, 302], [282, 302], [283, 302], [284, 302], [285, 301], [286, 301], [287, 301], [288, 301], [289, 301], [289, 302], [297, 302], [298, 303], [298, 305], [298, 306], [298, 307], [299, 307], [299, 308], [299, 309], [300, 310], [300, 311], [300, 312], [301, 313], [302, 314], [303, 316], [305, 316], [306, 316], [306, 315], [306, 313], [307, 311], [307, 308], [307, 305], [307, 302], [307, 299], [307, 297], [307, 295], [307, 293], [307, 291], [307, 289], [307, 284], [307, 281], [307, 278], [307, 275], [307, 272], [307, 268], [307, 264], [307, 260], [307, 253], [308, 250], [308, 247], [308, 244], [308, 241], [308, 238], [308, 236], [308, 234], [308, 233], [308, 232], [308, 231], [307, 231], [306, 231], [305, 231], [303, 231], [302, 231], [301, 231], [299, 231], [297, 231], [293, 231], [291, 231], [290, 231], [286, 231], [283, 231], [281, 231], [279, 231], [277, 231], [276, 231], [274, 230], [273, 229], [272, 229], [272, 227], [272, 225], [272, 222], [272, 219], [271, 216], [271, 213], [271, 210], [271, 207], [271, 204], [271, 202], [271, 201], [271, 200]], [184, 216, 171]) )
main.TILES.append( tile([[355, 205], [355, 207], [355, 208], [355, 210], [355, 211], [355, 213], [355, 216], [355, 223], [355, 230], [355, 237], [354, 244], [354, 249], [353, 253], [353, 257], [353, 262], [353, 266], [352, 270], [352, 274], [351, 278], [351, 281], [351, 285], [351, 288], [351, 291], [351, 294], [351, 296], [351, 298], [351, 300], [351, 302], [351, 304], [351, 306], [350, 308], [350, 310], [350, 312], [349, 314], [348, 315], [348, 317], [347, 317], [347, 318], [347, 319], [347, 320], [347, 321], [347, 322], [347, 323], [347, 324], [347, 325], [347, 326], [347, 327], [347, 328], [347, 329], [347, 330], [348, 331], [348, 332], [349, 333], [351, 334], [352, 334], [353, 335], [355, 336], [357, 337], [359, 337], [361, 337], [364, 337], [367, 337], [370, 337], [373, 337], [376, 337], [378, 337], [379, 337], [381, 337], [383, 335], [384, 334], [385, 333], [387, 333], [388, 332], [389, 329], [391, 328], [392, 326], [393, 323], [394, 321], [395, 319], [395, 317], [395, 315], [396, 313], [396, 311], [396, 309], [396, 307], [396, 306], [396, 303], [395, 301], [393, 299], [393, 298], [391, 297], [390, 296], [388, 294], [380, 294], [377, 293], [375, 293], [373, 292], [371, 291], [369, 290], [368, 290], [367, 288], [366, 287], [365, 287], [365, 285], [365, 283], [365, 282], [365, 280], [365, 279], [366, 278], [366, 276], [367, 274], [368, 272], [369, 270], [371, 268], [371, 266], [372, 264], [372, 262], [372, 260], [373, 257], [373, 255], [374, 253], [376, 250], [377, 247], [378, 244], [379, 241], [381, 238], [382, 234], [383, 230], [383, 227], [384, 224], [385, 221], [385, 218], [385, 216], [385, 215], [385, 214], [385, 212], [383, 212], [382, 211], [380, 211], [379, 211], [377, 210], [375, 209], [373, 208], [371, 208], [369, 208], [368, 208], [364, 208], [362, 208], [362, 207], [361, 207], [360, 207], [360, 206], [359, 206]], [240, 120, 26]) )
main.TILES.append( tile([[423, 206], [423, 207], [423, 208], [423, 209], [423, 210], [423, 211], [423, 212], [422, 215], [422, 218], [421, 221], [420, 224], [420, 228], [419, 234], [419, 236], [419, 238], [418, 241], [418, 246], [418, 248], [418, 250], [417, 254], [417, 256], [417, 258], [417, 263], [417, 266], [416, 272], [416, 276], [416, 284], [416, 287], [416, 294], [415, 297], [415, 303], [415, 306], [415, 311], [415, 314], [415, 318], [415, 320], [416, 322], [417, 323], [417, 325], [419, 326], [421, 328], [426, 330], [429, 332], [432, 333], [435, 333], [437, 333], [441, 333], [443, 333], [444, 333], [446, 331], [446, 330], [447, 328], [447, 327], [448, 325], [448, 318], [448, 316], [448, 314], [448, 313], [447, 312], [446, 309], [444, 307], [441, 306], [440, 305], [438, 304], [436, 304], [435, 303], [434, 303], [434, 302], [433, 301], [431, 300], [431, 298], [431, 297], [431, 296], [431, 294], [431, 291], [431, 290], [431, 286], [432, 284], [433, 278], [433, 276], [433, 271], [433, 268], [433, 265], [433, 262], [434, 260], [434, 255], [435, 253], [435, 250], [435, 248], [437, 243], [437, 241], [438, 236], [439, 233], [439, 231], [439, 228], [439, 223], [439, 221], [439, 218], [439, 217], [439, 215], [439, 214], [438, 214], [438, 213], [437, 212], [436, 211], [436, 209], [435, 209], [435, 208], [433, 208], [431, 207], [430, 207], [429, 206], [428, 206], [428, 205], [426, 205]], [47, 219, 39]) )
main.TILES.append( tile([[485, 282], [486, 281], [489, 281], [490, 279], [492, 279], [493, 279], [495, 278], [497, 277], [498, 277], [500, 277], [504, 276], [506, 276], [508, 276], [512, 275], [514, 275], [516, 275], [517, 275], [519, 277], [521, 278], [523, 279], [525, 281], [526, 283], [527, 284], [528, 285], [529, 288], [529, 289], [529, 293], [529, 295], [529, 298], [528, 300], [528, 303], [527, 305], [526, 307], [526, 309], [525, 310], [525, 311], [523, 312], [522, 313], [521, 313], [513, 313], [511, 313], [510, 313], [508, 314], [507, 314], [505, 314], [502, 314], [498, 314], [496, 314], [493, 314], [490, 313], [481, 313], [479, 312], [478, 310], [477, 308], [477, 305], [477, 303], [477, 302], [477, 301], [477, 299], [477, 298], [477, 296], [477, 295], [478, 293], [479, 292], [481, 290], [481, 288], [482, 288], [483, 286], [484, 286], [484, 284], [484, 283], [484, 281], [484, 280]], [154, 123, 153]) )
main.TILES.append( tile([[575, 280], [573, 280], [571, 280], [567, 280], [564, 280], [562, 280], [554, 281], [552, 282], [552, 283], [550, 285], [549, 286], [548, 288], [548, 290], [548, 291], [547, 293], [547, 294], [547, 296], [547, 297], [547, 298], [547, 299], [548, 301], [549, 301], [549, 303], [550, 304], [552, 305], [553, 307], [554, 308], [557, 308], [558, 308], [560, 308], [561, 308], [563, 308], [563, 307], [566, 307], [567, 306], [571, 304], [573, 303], [574, 300], [576, 299], [576, 297], [577, 296], [577, 295], [577, 294], [578, 292], [578, 291], [578, 289], [578, 288], [578, 286], [578, 285], [578, 296], [578, 298], [578, 301], [578, 303], [578, 306], [577, 310], [577, 314], [577, 318], [577, 322], [577, 326], [577, 330], [577, 332], [577, 334], [577, 338], [577, 339], [577, 344], [577, 347], [577, 352], [577, 354], [576, 358], [576, 360], [576, 361], [575, 362], [575, 363], [574, 364], [573, 365], [565, 366], [564, 367], [561, 368], [560, 369], [558, 369], [556, 369], [555, 369], [553, 369], [552, 369], [550, 369], [549, 369], [549, 368], [549, 366], [547, 365], [547, 362], [547, 360], [547, 358], [547, 356], [548, 355], [549, 355], [550, 353], [551, 352], [551, 350], [552, 349], [553, 347], [554, 347], [555, 344], [556, 343], [557, 340], [558, 340], [558, 339], [559, 339], [560, 336], [561, 334], [562, 333], [562, 332], [563, 332], [563, 330], [565, 328], [565, 326], [566, 324], [566, 323], [567, 321], [568, 319], [568, 318], [570, 317], [570, 315], [570, 313], [570, 312], [570, 311], [571, 310], [571, 308]], [73, 14, 43]) )
main.TILES.append( tile([[280, 353], [281, 353], [281, 352], [283, 352], [285, 352], [286, 352], [287, 352], [287, 351], [290, 351], [293, 351], [294, 351], [296, 351], [297, 351], [299, 350], [301, 350], [303, 350], [307, 350], [311, 349], [314, 349], [316, 349], [319, 349], [325, 348], [331, 348], [333, 348], [337, 348], [339, 348], [343, 348], [345, 348], [350, 348], [353, 348], [359, 348], [362, 348], [369, 348], [372, 348], [375, 348], [383, 348], [387, 348], [390, 348], [393, 348], [403, 348], [407, 348], [417, 348], [422, 348], [436, 348], [441, 348], [450, 347], [460, 347], [467, 346], [477, 346], [484, 345], [490, 345], [496, 345], [503, 344], [510, 344], [513, 344], [514, 344], [516, 343], [518, 343], [519, 343], [519, 342], [521, 342], [522, 342], [524, 342], [525, 342], [525, 343], [526, 343], [528, 344], [528, 345], [528, 347], [528, 348], [528, 350], [528, 352], [529, 356], [529, 360], [530, 363], [531, 366], [531, 370], [532, 373], [535, 377], [538, 380], [540, 380], [545, 380], [549, 381], [559, 381], [563, 381], [572, 381], [581, 380], [584, 380], [587, 380], [589, 379], [597, 379], [597, 378], [597, 377], [598, 376], [598, 375], [600, 371], [600, 369], [601, 365], [602, 363], [602, 358], [602, 353], [602, 351], [602, 347], [602, 343], [603, 340], [603, 337], [603, 329], [605, 328], [606, 327], [608, 327], [612, 325], [614, 325], [618, 325], [620, 325], [624, 325], [626, 325], [627, 325], [629, 325], [631, 325], [633, 325], [634, 325], [637, 325], [637, 326], [639, 326], [639, 327], [639, 328], [639, 329], [639, 330], [639, 333], [639, 335], [639, 339], [639, 344], [638, 349], [638, 354], [638, 358], [638, 363], [638, 369], [638, 376], [638, 382], [638, 387], [638, 391], [637, 394], [636, 397], [636, 398], [633, 399], [632, 399], [630, 400], [629, 400], [625, 401], [623, 401], [617, 401], [614, 401], [609, 401], [606, 401], [602, 401], [598, 401], [592, 401], [590, 401], [585, 401], [583, 402], [577, 402], [574, 402], [572, 402], [566, 402], [561, 403], [555, 403], [550, 403], [546, 403], [542, 403], [538, 403], [534, 403], [531, 403], [529, 403], [525, 403], [519, 403], [517, 403], [511, 403], [508, 403], [504, 403], [501, 403], [496, 403], [494, 403], [491, 403], [489, 403], [485, 403], [483, 403], [481, 403], [480, 403], [478, 403], [476, 403], [472, 403], [470, 403], [464, 403], [459, 403], [449, 402], [439, 402], [431, 402], [427, 402], [417, 402], [407, 402], [400, 402], [392, 402], [378, 401], [366, 399], [356, 398], [340, 393], [336, 392], [331, 390], [328, 389], [325, 389], [324, 389], [322, 388], [321, 388], [316, 388], [315, 387], [313, 387], [312, 387], [311, 387], [309, 387], [305, 387], [303, 387], [302, 386], [294, 386], [292, 385], [289, 385], [287, 384], [285, 382], [282, 380], [280, 379], [279, 376], [279, 374], [279, 372], [278, 369], [278, 367], [278, 363], [278, 359], [278, 355], [278, 354], [278, 349], [278, 348], [278, 346]], [114, 236, 243]) )
main.TILES.append( tile([[904, 115], [957, 132], [903, 188], [815, 282]], [38, 109, 45]) )
main.TILES.append( tile([[990, 482], [1021, 539], [804, 472]], [182, 147, 233]) )
main.TILES.append( tile([[802, 683], [726, 695], [706, 571]], [3, 69, 112]) )
main.TILES.append( tile([[922, 626], [1012, 581], [751, 524]], [25, 120, 138]) )
main.TILES.append( tile([[1011, 348], [1035, 429], [818, 391]], [156, 162, 83]) )
main.TILES.append( tile([[988, 176], [1034, 269], [862, 324]], [216, 76, 87]) )
main.TILES.append( tile([[640, 179], [614, 47], [684, 49]], [207, 124, 3]) )
main.TILES.append( tile([[723, 216], [747, 69], [838, 84]], [85, 35, 17]) )
main.TILES.append( tile([[311, 61], [421, 84], [419, 86], [304, 102], [302, 103], [316, 119], [319, 119], [331, 119], [347, 120], [354, 121], [356, 124], [354, 137], [352, 142], [347, 142], [338, 136], [326, 123], [325, 118], [340, 104], [373, 102], [382, 102], [396, 105], [405, 106], [413, 103], [413, 97]], [205, 172, 248]) )

# Python 2.7.7 Code
# Pygame 1.9.1 (for Python 2.7.7)
# Jonathan Frech 12th of May, 2015
#         edited 13th of May, 2015

Continue reading

Star

I had an idea to make a simulation which generates stars. Using my ‘getCirclePos()’ function, two radii – an inner and an outer one – and a number of points I realized the idea in this program.

How it works

\frac{360^\circ}{\text{number of points}} = \text{circle sector}
\frac{360^\circ}{\text{number of points} \cdot 2} = \text{shifted circle sector}

Using those to sectors – and alternating between the inner (shifted) and outer radius – the program connects the points and out comes a star shape.

How to use

  • ‘d’ toggles debug mode (gray circles)
  • ‘f’ toggles points being drawn (blue points at the corners)

The First Example The Second Example The Third Example


# Python 2.7.7 Code
# Pygame 1.9.1 (for Python 2.7.7)
# Jonathan Frech 24th of April, 2015

Continue reading

Bouncing

This simulation lets you spawn in circular entities which then bounce off the groung and fade into the background. You can toggle if they are moving, the screen gets refilled and if they have a black border around them. The three-dimensional illusion comes from the balls getting slowly smaller and blending to the background color. Eventually the balls will ‘die’ (be removed), when they have reached a minimum size.

Usage

  • Clicking on the screen spawns in a new ball
  • ‘b’ toggles if the black border is shown
  • ‘f’ toggles if screen gets refilled
  • ‘m’ toggles if balls are moving
  • ‘k’ kills all the balls

The First ExampleThe Second ExampleThe Third Example


# Python 2.7.7 Code
# Pygame 1.9.1 (for Python 2.7.7)
# Jonathan Frech 16th of April, 2015
#         edited 17th of April, 2015

Continue reading