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1. Other Generalizations of Continued Fractions

2. Approximation of Maximal Commutative Subgroups

3. On the Construction of Multidimensional Continued Fractions

4. Multidimensional Gauss—Kuzmin Statistics

5. Gauss Reduction in Higher Dimensions

6. Dirichlet Groups and Lattice Reduction

7. Periodicity of Klein polyhedra. Generalization of Lagrange’s Theorem

8. Multidimensional Continued Fractions in the Sense of Klein

9. On Empty Simplices, Pyramids, Parallelepipeds

10. Basic Notions and Definitions of Multidimensional Integer Geometry

11. Complete Invariant of Integer Angles

12. Continuant Representation of GL(2, ℤ) Matrices

14. Integer Trigonometry for Integer Angles

15. Geometric Continued Fractions

16. On Integer Geometry

17. Integer Angles of Integer Triangles

18. Geometry of Regular Continued Fractions

19. Classical Notions and Definitions

20. Integer Angles of Polygons and Global Relations for Toric Singularities

21. Geometry of Continued Fractions with Real Elements and Kepler’s Second Law

22. Extended Integer Angles and Their Summation

24. Geometric Aspects of Approximation

25. Gauss—Kuzmin Statistics

26. Lagrange’s Theorem

27. Semigroup of Reduced Matrices

31. Gauss Reduction in Higher Dimensions

33. Multidimensional Gauss–Kuzmin Statistics

34. Dirichlet Groups and Lattice Reduction

38. Gauss–Kuzmin Statistics

40. Lagrange’s Theorem

41. Geometry of Regular Continued Fractions

42. Integer Angles of Integer Triangles

43. Integer Trigonometry for Integer Angles

44. Complete Invariant of Integer Angles

45. Classical Notions and Definitions

47. On Integer Geometry

48. Geometric Aspects of Approximation

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