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The Group Theory of Rubik's Cube Personal Notes Fred Olness

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Page 1: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came

The Group Theory of Rubik's Cube

Personal Notes

Fred Olness

Page 2: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 3: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 4: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 5: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 6: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 7: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 8: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 9: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 10: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 11: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 12: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 13: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 14: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 15: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 16: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 17: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 18: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 19: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 20: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 21: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 22: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 23: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 24: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 25: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 26: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 27: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 28: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 29: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 30: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 31: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 32: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 33: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 34: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 35: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 36: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 37: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 38: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 39: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 40: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 41: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 42: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 43: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 44: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 45: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 46: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 47: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 48: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came
Page 49: The Group Theory of Rubik's Cubeolness/ftp/misc2/6321/LEC/rubik... · 2019-02-12 · pest. Seeking to sharpen his students' ability to visualize three-dimensional objects, he came

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