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A different kind of chaos game

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Presentation on theme: "A different kind of chaos game"— Presentation transcript:

1 A different kind of chaos game

2 Start with a square

3 Rule #1: First squish......

4 Rule #1: First squish......

5 Rule #1: First squish......

6 Rule #1: First squish......

7 Rule #1: First squish......

8 Rule #1: First squish......

9 Rule #1: First squish......

10 Rule #1: First squish......

11 Rule #1: First squish......

12 Rule #1: First squish......

13 Rule #1: First squish......

14 Rule #1: First squish......

15 Rule #1: First squish....

16 Rule #1: ...then rotate a bit

17 Rule #1: ...then rotate a bit

18 Rule #1: ...then rotate a bit

19 Rule #1: ...then rotate a bit

20 Rule #1: ...then rotate a bit

21 Rule #1: ...then rotate a bit

22 Rule #1: ...then rotate a bit

23 That’s rule #1

24 Rule #2: Squish more......

25 Rule #2: Squish more......

26 Rule #2: Squish more......

27 Rule #2: Squish more......

28 Rule #2: Squish more......

29 Rule #2: Squish more......

30 Rule #2: Squish more......

31 Rule #2: Squish more......

32 Rule #2: Squish more......

33 Rule #2: Squish more......

34 Rule #2: Squish more......

35 Rule #2: Squish more......

36 Rule #2: Squish more......

37 Rule #2: Squish more......

38 Rule #2: Squish more......

39 Rule #2: Squish more......

40 Rule #2: Squish more......

41 Rule #2: Squish more......

42 Rule #2: Squish more......

43 Rule #2: Squish more......

44 Rule #2: Squish more......

45 Rule #2: Squish more......

46 Rule #2: Squish more......

47 Rule #2: Squish more......

48 Rule #2: Squish more......

49 Rule #2: Squish more......

50 Rule #2: Squish more......

51 Rule #2: Squish more......

52 Rule #2: Squish more......

53 Rule #2: Squish more......

54 Rule #2: Squish more......

55 Rule #2: then rotate left

56 Rule #2: then rotate left

57 Rule #2: then rotate left

58 Rule #2: then rotate left

59 Rule #2: then rotate left

60 Rule #2: then rotate left

61 Rule #2: then rotate left

62 Rule #2: then rotate left

63 Rule #2: then rotate left

64 Rule #2: then rotate left

65 Rule #2: then rotate left

66 Rule #2: then rotate left

67 Rule #2: then rotate left

68 Rule #2: then rotate left

69 Rule #2: then rotate left

70 That’s rule #2

71 Rule #3: First flip......

72 Rule #3: First flip......

73 Rule #3: First flip......

74 Rule #3: First flip......

75 Rule #3: First flip......

76 Rule #3: First flip......

77 Rule #3: First flip......

78 Rule #3: First flip......

79 Rule #3: First flip......

80 Rule #3: First flip......

81 Rule #3: First flip......

82 Rule #3: First flip......

83 Rule #3: First flip......

84 Rule #3: First flip......

85 Rule #3: First flip......

86 Rule #3: First flip......

87 Rule #3: First flip......

88 Rule #3: First flip......

89 Rule #3: First flip......

90 Rule #3: First flip......

91 Rule #3: First flip......

92 Rule #3: First flip......

93 Rule #3: First flip......

94 Rule #3: First flip......

95 Rule #3: First flip......

96 Rule #3: First flip......

97 Rule #3: First flip......

98 Rule #3: First flip......

99 Rule #3: First flip......

100 Rule #3: then squish and rotate

101 Rule #3: then squish and rotate

102 Rule #3: then squish and rotate

103 Rule #3: then squish and rotate

104 Rule #3: then squish and rotate

105 Rule #3: then squish and rotate

106 Rule #3: then squish and rotate

107 Rule #3: then squish and rotate

108 Rule #3: then squish and rotate

109 Rule #3: then squish and rotate

110 Rule #3: then squish and rotate

111 Rule #3: then squish and rotate

112 Rule #3: then squish and rotate

113 Rule #3: then squish and rotate

114 Rule #3: then squish and rotate

115 Rule #3: then squish and rotate

116 Rule #3: then squish and rotate

117 Rule #3: then squish and rotate

118 Rule #3: then squish and rotate

119 Rule #3: then squish and rotate

120 Rule #3: then squish and rotate

121 Rule #3: then squish and rotate

122 Rule #3: then squish and rotate

123 Rule #3: then squish and rotate

124 Rule #3: then squish and rotate

125 Rule #3: then squish and rotate

126 Rule #3: then squish and rotate

127 Rule #3: then squish and rotate

128 Rule #3: then squish and rotate

129 That’s rule #3

130 Rule #4: Squish almost completely

131 Rule #4: Squish almost completely

132 Rule #4: Squish almost completely

133 Rule #4: Squish almost completely

134 Rule #4: Squish almost completely

135 Rule #4: Squish almost completely

136 Rule #4: Squish almost completely

137 Rule #4: Squish almost completely

138 Rule #4: Squish almost completely

139 Rule #4: Squish almost completely

140 Rule #4: Squish almost completely

141 Rule #4: Squish almost completely

142 Rule #4: Squish almost completely

143 Rule #4: Squish almost completely

144 Rule #4: Squish almost completely

145 Rule #4: Squish almost completely

146 Rule #4: Squish almost completely

147 Rule #4: Squish almost completely

148 That’s rule #4

149 Summary

150 Rule #1

151 Rule #2

152 Rule #3

153 Rule #4

154 Now go play the chaos game...

155 Here are the rules:

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180 Why do we get the fern?

181 Apply rule # 1 to the fern

182

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198 Apply rule # 2 to the fern

199 Apply rule # 2 to the fern

200 Apply rule # 2 to the fern

201 Apply rule # 2 to the fern

202 Apply rule # 2 to the fern

203 Apply rule # 2 to the fern

204 Apply rule # 2 to the fern

205 Apply rule # 2 to the fern

206 Apply rule # 2 to the fern

207 Apply rule # 2 to the fern

208 Apply rule # 2 to the fern

209 Apply rule # 2 to the fern

210 Apply rule # 2 to the fern

211 Apply rule # 2 to the fern

212 Apply rule # 2 to the fern

213 Apply rule # 2 to the fern

214 Apply rule # 2 to the fern

215 Apply rule # 2 to the fern

216 Apply rule # 2 to the fern

217 Apply rule # 3: first flip

218 Apply rule # 3: first flip

219 Apply rule # 3: first flip

220 Apply rule # 3: first flip

221 Apply rule # 3: first flip

222 Apply rule # 3: first flip

223 Apply rule # 3: first flip

224 Apply rule # 3: first flip

225 Apply rule # 3: first flip

226 Apply rule # 3: first flip

227 Apply rule # 3: first flip

228 Apply rule # 3: first flip

229 Then squish and rotate

230 Then squish and rotate

231 Then squish and rotate

232 Then squish and rotate

233 Then squish and rotate

234 Then squish and rotate

235 Then squish and rotate

236 Then squish and rotate

237 Then squish and rotate

238 Then squish and rotate

239 Then squish and rotate

240 Then squish and rotate

241 Then squish and rotate

242 Then squish and rotate

243 Then squish and rotate

244 Then squish and rotate

245 Then squish and rotate

246 Then squish and rotate

247 Then squish and rotate

248 Then squish and rotate

249 Then squish and rotate

250 What’s missing?

251 Apply rule #4

252 Squish almost completely

253 Squish almost completely

254 Squish almost completely

255 Squish almost completely

256 Squish almost completely

257 Squish almost completely

258 Squish almost completely

259 Squish almost completely

260 Squish almost completely

261 Squish almost completely

262 Squish almost completely

263 Squish almost completely

264


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