User:Meditate085

Introduction

This page contains accelerating angle curves (AACs) that were excluded from my book but I nevertheless found 'interesting'. Each AAC's symmetry is described using group-theoretic notation (C_n for cyclic group n; D_n for dihedral group n).

Gallery of accelerating angle curves with only rotational symmetry

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  AAC [9 : 2 1 8 5 3]; C₃
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  AAC [108: 0 37 42 63 90]; C₉
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  AAC [45: 0 2 9]; C₉
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  AAC [576: 0 41 234 360]; C₉
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  AAC [360: 0 232 216 288 72]; C₉
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  AAC [240: 0 119 84]; C₁₂
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  AAC [240: 0 28 96]; C₁₂
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  AAC [840: 0 839 324]; C₁₂
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  AAC [105: 0 83 15 75 90]; C₁₅
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  AAC [105: 0 8 45]; C₁₅
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  AAC [360: 0 160 297]; C₁₈
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  AAC [360: 0 1 297]; C₁₈
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  AAC [361: 0 258 247 190 209]; C₁₉
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  AAC [361: 0 9 19]; C₁₉
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  AAC [666: 0 118 370]; C₃₇
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  AAC [666: 0 354 444]; C₃₇
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  AAC [360: 0 184 344 40 288 24]; C₄₅
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  AAC [360: 0 175 216]; C₇₂
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  AAC [360: 0 137 225]; C₉₀

Gallery of accelerating angle curves with both rotational and reflectional symmetry (dihedral)

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  AAC [360: 180 9 9 9]; D₁
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  AAC [360: 16 148 264 168]; D₂
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  AAC [9 : 2 1 0 5]; D₃
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  AAC [21: 6 8 0 3]; D₃
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  AAC [360: 24 312 216 72]; D₃
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  AAC [12: 0 2 7 7]; D₃
• 
  AAC [36: 10 32 27 8 18]; D₃
• 
  AAC [840: 42 595 690 740]; D₃
• 
  AAC [360: 33 30 324 72]; D₃
• 
  AAC [360: 4 190 57 186]; D₄
• 
  AAC [360: 49 190 57 186]; D₄
• 
  AAC [244: 59 65 184 144 36 192]; D₄
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  AAC [5: 0 0 1 1 2 3]; D₅
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  AAC [5: 0 4 0 2 4 2]; D₅
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  AAC [35: 6 28 15 20]; D₅
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  AAC [108: 3 52 66 100]; D₆
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  AAC [108: 0 72 18 84]; D₆
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  AAC [60: 9 42 2 44]; D₆
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  AAC [360: 13 9 90 168 180]; D₆
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  AAC [6: 0 2 0 1 3]; D₆
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  AAC [12: 1 8 7 5 3 6]; D₆
• 
  AAC [12: 0 8 7 1 0 6]; D₆
• 
  AAC [35: 1 18 7 14]; D₇
• 
  AAC [144 : 0 74 108 36]; D₈
• 
  AAC [360: 0 323 96 264]; D₈
• 
  AAC [120: 0 33 24 24]; D₈
• 
  AAC [36 : 1 22 9 0 18]; D₉
• 
  AAC [360 : 180 130 108 36]; D₉
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  AAC [9: 0 3 2 5 6 3]; D₉
• 
  AAC [9: 0 6 2 7 0 6]; D₉
• 
  AAC [10: 0 2 0 0 5]; D₁₀
• 
  AAC [10: 0 8 4 1 5 4]; D₁₀
• 
  AAC [96: 3 80 35 34]; D₁₂
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  AAC [840: 24 241 273 558]; D₁₂
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  AAC [96: 7 74 58 52]; D₁₂
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  AAC [240: 6 228 134 172]; D₁₂
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  AAC [378: 0 160 63 42]; D₁₄
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  AAC [60: 2 19 5 40 30]; D₁₅
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  AAC [360: 4 344 216 280 48 264]; D₁₅
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  AAC [360: 0 13 320 55]; D₁₅
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  AAC [108: 5 73 80 1 99 6]; D₁₈
• 
  AAC [108: 4 79 0 101 3 66]; D₁₈
• 
  AAC [361: 0 185 0 228]; D₁₉
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  AAC [96: 0 3 4 8]; D₂₄
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  AAC [96: 0 57 48 80]; D₂₄
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  AAC [120: 0 62 25 22 60]; D₂₄
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  AAC [360: 0 293 136 136]; D₂₄
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  AAC [336: 0 279 21 210]; D₂₈
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  AAC [364: 0 47 28 196]; D₂₈
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  AAC [720: 0 258 20 440]; D₃₀
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  AAC [720: 0 714 340 440]; D₃₀
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  AAC [720: 0 39 420 620]; D₃₀
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  AAC [720: 0 82 440 520]; D₃₀
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  AAC [248: 0 2 124]; D₃₁
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  AAC [105: 0 52 0 70 70 7]; D₃₅
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  AAC [360: 0 19 9 18]; D₃₆
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  AAC [360: 0 304 208 224 72 264]; D₄₅
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  AAC [360: 0 264 72 328 312 168]; D₄₅
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  AAC [360: 0 40 112 208 192 96]; D₄₅
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  AAC [360: 0 208 272 16 144 168]; D₄₅
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  AAC [244: 0 162 61 61]; D₆₁
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  AAC [360: 0 63 255 130 180]; D₁₂₀