Maths Day Crossword

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Across
  1. 2. A theorem implying inevitable existence of cowlicks
  2. 4. Aryabhatta
  3. 7. Middle of it all
  4. 12. Corner
  5. 15. Approaches but never quite reaches
  6. 17. Repeating pattern of interlocking shapes
  7. 18. Complex numbers in 4-D
  8. 20. The Last Universalist
  9. 21. Logic diagram pioneered by John _ _ _ _
  10. 23. Idea without proof
  11. 27. Smallest infinite number
  12. 28. 2-D object having single surface
  13. 29. Higher dimensional vector
  14. 30. 1729
  15. 31. Space-time geometry
Down
  1. 1. A famous sequence related to golden ratio
  2. 3. Arrangements
  3. 5. Mandelbrot is an example
  4. 6. Path taken by predator chasing a prey
  5. 8. Complex plane
  6. 9. A judge and mathematician who loved margins
  7. 10. Truncated cone
  8. 11. A scalar associated with a matrix
  9. 13. Curve of shortest distance
  10. 14. A two-dimensional array
  11. 16. Kepler's orbit
  12. 19. A random process
  13. 22. Negative curvature
  14. 24. Geometry
  15. 25. Matrix to transform one coordinate system to another
  16. 26. Perpendicular