1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
|
class IGPTheGreatMosqueOfKairouan extends IGPSquare{
PVector[][] cornerPieces;
PVector[][] sidePieces;
PVector[][] middlePieces;
PVector[][] starPieces;
ArrayList <PVector> middleStar;
IGPTheGreatMosqueOfKairouan(float x, float y, float d){
super(x, y, d, 0);
setVectorsOnOuterSquare();
setCornerPieces();
setSidePieces();
setMiddlePieces();
setStarPieces();
setMiddleStar();
}
void setVectorsOnOuterSquare(){
vectorsOnOuterSquare = new ArrayList <PVector>(24);
vectorsOnOuterSquare.add(alphaCircleVectors.get(0));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(2), alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(0)), getLineIntersection(alphaCircleVectorsSixteen.get(10), alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(4)), mid.x+radius, false));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(2), mid.x+radius, false));
vectorsOnOuterSquare.add(new PVector(mid.x+radius, mid.y+radius));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(0), alphaCircleVectorsSixteen.get(2), mid.y+radius, true));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(2), alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(0)), getLineIntersection(alphaCircleVectorsSixteen.get(10), alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(12), alphaCircleVectorsSixteen.get(0)), mid.y+radius, true));
vectorsOnOuterSquare.add(new PVector(mid.x, mid.y+radius));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(2), alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(4)), getLineIntersection(alphaCircleVectorsSixteen.get(10), alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(12)), mid.y+radius, true));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(6), mid.y+radius, true));
vectorsOnOuterSquare.add(new PVector(mid.x-radius, mid.y+radius));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(6), mid.x-radius, false));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(10), alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(8)), getLineIntersection(alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(0), alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(2)), mid.x-radius, false));
vectorsOnOuterSquare.add(new PVector(mid.x-radius, mid.y));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(12), alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(10)), getLineIntersection(alphaCircleVectorsSixteen.get(12), alphaCircleVectorsSixteen.get(0), alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(2)), mid.x-radius, false));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(12), alphaCircleVectorsSixteen.get(10), mid.x-radius, false));
vectorsOnOuterSquare.add(new PVector(mid.x-radius, mid.y-radius));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(10), mid.y-radius, true));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(10), alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(12)), getLineIntersection(alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(2)), mid.y-radius, true));
vectorsOnOuterSquare.add(new PVector(mid.x, mid.y-radius));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(10), alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(12), alphaCircleVectorsSixteen.get(0)), getLineIntersection(alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(0), alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(2)), mid.y-radius, true));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(0), alphaCircleVectorsSixteen.get(14), mid.y-radius, true));
vectorsOnOuterSquare.add(new PVector(mid.x+radius, mid.y-radius));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(12), alphaCircleVectorsSixteen.get(14), mid.x+radius, false));
vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(2), alphaCircleVectorsSixteen.get(12), alphaCircleVectorsSixteen.get(0)), getLineIntersection(alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(10), alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(12)), mid.x+radius, false));
}
void setMiddleStar(){
middleStar = new ArrayList <PVector>(16);
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8)));
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8)));
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1)));
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1)));
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14)));
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1)));
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1)));
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4)));
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4)));
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10)));
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13)));
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13)));
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2)));
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2)));
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5)));
middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5)));
}
void setCornerPieces(){
cornerPieces = new PVector[4][4];
PVector[] cornerPiece = new PVector[4];
cornerPiece[0] = vectorsOnOuterSquare.get(2);
cornerPiece[1] = vectorsOnOuterSquare.get(3);
cornerPiece[2] = vectorsOnOuterSquare.get(4);
cornerPiece[3] = alphaCircleVectorsSixteen.get(2);
cornerPieces[0] = cornerPiece;
cornerPiece = new PVector[4];
cornerPiece[0] = vectorsOnOuterSquare.get(8);
cornerPiece[1] = vectorsOnOuterSquare.get(9);
cornerPiece[2] = vectorsOnOuterSquare.get(10);
cornerPiece[3] = alphaCircleVectorsSixteen.get(6);
cornerPieces[1] = cornerPiece;
cornerPiece = new PVector[4];
cornerPiece[0] = vectorsOnOuterSquare.get(14);
cornerPiece[1] = vectorsOnOuterSquare.get(15);
cornerPiece[2] = vectorsOnOuterSquare.get(16);
cornerPiece[3] = alphaCircleVectorsSixteen.get(10);
cornerPieces[2] = cornerPiece;
cornerPiece = new PVector[4];
cornerPiece[0] = vectorsOnOuterSquare.get(20);
cornerPiece[1] = vectorsOnOuterSquare.get(21);
cornerPiece[2] = vectorsOnOuterSquare.get(22);
cornerPiece[3] = alphaCircleVectorsSixteen.get(14);
cornerPieces[3] = cornerPiece;
}
void setSidePieces(){
sidePieces = new PVector[8][6];
PVector[] sidePiece = new PVector[6];
sidePiece[0] = vectorsOnOuterSquare.get(0);
sidePiece[1] = vectorsOnOuterSquare.get(2);
sidePiece[2] = alphaCircleVectorsSixteen.get(2);
sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(4));
sidePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(6));
sidePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(4));
sidePieces[0] = sidePiece;
sidePiece = new PVector[6];
sidePiece[0] = alphaCircleVectorsSixteen.get(2);
sidePiece[1] = vectorsOnOuterSquare.get(4);
sidePiece[2] = vectorsOnOuterSquare.get(6);
sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19));
sidePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
sidePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
sidePieces[1] = sidePiece;
sidePiece = new PVector[6];
sidePiece[0] = vectorsOnOuterSquare.get(6);
sidePiece[1] = vectorsOnOuterSquare.get(8);
sidePiece[2] = alphaCircleVectorsSixteen.get(6);
sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(22));
sidePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(22));
sidePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
sidePieces[2] = sidePiece;
sidePiece = new PVector[6];
sidePiece[0] = alphaCircleVectorsSixteen.get(6);
sidePiece[1] = vectorsOnOuterSquare.get(10);
sidePiece[2] = vectorsOnOuterSquare.get(12);
sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1));
sidePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20));
sidePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(12));
sidePieces[3] = sidePiece;
sidePiece = new PVector[6];
sidePiece[0] = alphaCircleVectorsSixteen.get(10);
sidePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
sidePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13));
sidePiece[4] = vectorsOnOuterSquare.get(12);
sidePiece[5] = vectorsOnOuterSquare.get(14);
sidePieces[4] = sidePiece;
sidePiece = new PVector[6];
sidePiece[0] = vectorsOnOuterSquare.get(18);
sidePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
sidePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16));
sidePiece[4] = alphaCircleVectorsSixteen.get(10);
sidePiece[5] = vectorsOnOuterSquare.get(16);
sidePieces[5] = sidePiece;
sidePiece = new PVector[6];
sidePiece[0] = alphaCircleVectorsSixteen.get(14);
sidePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10));
sidePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10));
sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
sidePiece[4] = vectorsOnOuterSquare.get(18);
sidePiece[5] = vectorsOnOuterSquare.get(20);
sidePieces[6] = sidePiece;
sidePiece = new PVector[6];
sidePiece[0] = vectorsOnOuterSquare.get(22);
sidePiece[1] = vectorsOnOuterSquare.get(0);
sidePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13));
sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13));
sidePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8));
sidePiece[5] = alphaCircleVectorsSixteen.get(14);
sidePieces[7] = sidePiece;
}
void setMiddlePieces(){
middlePieces = new PVector[8][6];
PVector[] middlePiece = new PVector[6];
middlePiece[0] = vectorsOnOuterSquare.get(0);
middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(4));
middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(6));
middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13));
middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13));
middlePieces[0] = middlePiece;
middlePiece = new PVector[6];
middlePiece[0] = alphaCircleVectorsSixteen.get(2);
middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19));
middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16));
middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16));
middlePieces[1] = middlePiece;
middlePiece = new PVector[6];
middlePiece[0] = vectorsOnOuterSquare.get(6);
middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19));
middlePieces[2] = middlePiece;
middlePiece = new PVector[6];
middlePiece[0] = alphaCircleVectorsSixteen.get(6);
middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20));
middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20));
middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(10));
middlePieces[3] = middlePiece;
middlePiece = new PVector[6];
middlePiece[0] = vectorsOnOuterSquare.get(12);
middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23));
middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23));
middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20));
middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20));
middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(12));
middlePieces[4] = middlePiece;
middlePiece = new PVector[6];
middlePiece[0] = alphaCircleVectorsSixteen.get(10);
middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23));
middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23));
middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(16));
middlePieces[5] = middlePiece;
middlePiece = new PVector[6];
middlePiece[0] = alphaCircleVectorsSixteen.get(12);
middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(18));
middlePieces[6] = middlePiece;
middlePiece = new PVector[6];
middlePiece[0] = alphaCircleVectorsSixteen.get(14);
middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8));
middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8));
middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(22));
middlePieces[7] = middlePiece;
}
void setStarPieces(){
starPieces = new PVector[8][4];
PVector[] starPiece = new PVector[4];
starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(6));
starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19));
starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8));
starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8));
starPieces[0] = starPiece;
starPiece = new PVector[4];
starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19));
starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19));
starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11));
starPieces[1] = starPiece;
starPiece = new PVector[4];
starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(12));
starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4));
starPieces[2] = starPiece;
starPiece = new PVector[4];
starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4));
starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1));
starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1));
starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4));
starPieces[3] = starPiece;
starPiece = new PVector[4];
starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7));
starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4));
starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4));
starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7));
starPieces[4] = starPiece;
starPiece = new PVector[4];
starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10));
starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
starPieces[5] = starPiece;
starPiece = new PVector[4];
starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10));
starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
starPieces[6] = starPiece;
starPiece = new PVector[4];
starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8));
starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8));
starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
starPieces[7] = starPiece;
}
void createMiddleStar(){
useStrokeColor();
useFillColor();
beginShape();
for (PVector middleStarVector: middleStar) {
vertex(middleStarVector.x, middleStarVector.y);
}
endShape();
}
void createCornerPieces(){
useStrokeColor();
useFillColor();
for(int i=0; i<cornerPieces.length; i++){
if(cornerPieces[i].length>0){
beginShape();
for(int j=0; j<cornerPieces[i].length; j++){
vertex(cornerPieces[i][j].x, cornerPieces[i][j].y);
}
endShape();
}
}
}
void createSidePieces(){
useStrokeColor();
useFillColor();
for(int i=0; i<sidePieces.length; i++){
if(sidePieces[i].length>0){
beginShape();
for(int j=0; j<sidePieces[i].length; j++){
vertex(sidePieces[i][j].x, sidePieces[i][j].y);
}
endShape();
}
}
}
void createMiddlePieces(){
useStrokeColor();
useFillColor();
for(int i=0; i<middlePieces.length; i++){
if(middlePieces[i].length>0){
beginShape();
for(int j=0; j<middlePieces[i].length; j++){
if (middlePieces[i][j] != null) {
vertex(middlePieces[i][j].x, middlePieces[i][j].y);
}
}
endShape();
}
}
}
void createStarPieces(){
useStrokeColor();
useFillColor();
for(int i=0; i<starPieces.length; i++){
if(starPieces[i].length>0){
beginShape();
for(int j=0; j<starPieces[i].length; j++){
vertex(starPieces[i][j].x, starPieces[i][j].y);
}
endShape();
}
}
}
void createParallelLines(){
createLine(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11));
createLine(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16));
createLine(vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
createLine(vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19));
createLine(vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
createLine(vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(22));
createLine(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20));
createLine(vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23));
}
void createOuterLines(){
createLine(vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(4));
createLine(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(6));
createLine(vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(10));
createLine(vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(12));
createLine(vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(16));
createLine(vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(18));
createLine(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(22));
createLine(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(0));
}
void display(){
setStrokeColor(new Float[] {0.0, 0.0, 0.0, 0.0});
setFillColor(new Float[] {1.0, 1.0, 1.0, 1.0});
createCornerPieces();
setStrokeColor(new Float[] {0.66, 0.66, 0.8, 0.0});
setFillColor(new Float[] {0.0, 1.0, 0.0, 1.0});
createSidePieces();
setStrokeColor(new Float[] {0.66, 0.0, 0.0, 0.0});
setFillColor(new Float[] {0.5, 0.5, 1.0, 1.0});
createMiddlePieces();
setStrokeColor(new Float[] {0.0, 0.0, 0.0, 0.0});
setFillColor(new Float[] {1.0, 0.0, 0.0, 1.0});
createStarPieces();
setStrokeColor(new Float[] {0.0, 0.0, 0.0, 0.0});
setFillColor(new Float[] {0.0, 0.0, 1.0, 1.0});
createMiddleStar();
}
void displayConstructionLines(){
super.displayConstructionLines();
setStrokeColor(new Float[] {0.4, 0.4, 0.8, 1.0});
setFillColor(new Float[] {0.0, 0.0, 0.0, 0.0});
createDiagonalConstructionLinesOnOuterSquare();
createInnerSquare();
createInnerSquareTilted(45);
createParallelLines();
createOuterLines();
setStrokeColor(new Float[] {0.8, 0.0, 0.0, 1.0});
setFillColor(new Float[] {0.8, 0.8, 0.8, 1.0});
createVectorIndicatorOnOuterSquare(4);
setStrokeColor(new Float[] {0.4, 0.4, 0.8, 1.0});
setFillColor(new Float[] {0.0, 0.0, 0.0, 0.0});
}
}
|