# Foundation

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Apr 13th, 2015
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1. This achieves 248 points without use of the integer x, factorials, radicals, or parentheses.
2.
3. $1 = \lfloor\phi\rfloor$
4. $2 = \lceil\phi\rceil$
5. $3 = \lfloor\tau\div\phi\rfloor$
6. $4 = \lfloor\tau-\phi\rfloor$
7. $5 = \lceil\tau-\phi\rceil$
8. $6 = \lfloor\tau\rfloor$
9. $7 = \lceil\tau\rceil$
10. $8 = \lceil\tau+\phi\rceil$
11. $9 = \lceil\tau\rceil + \lceil\phi\rceil$
12. $10 = \lfloor\tau\times\phi\rfloor$
13. $11 = \lceil\tau\times\phi\rceil$
14. $12 = \lfloor\tau+\tau\rfloor$
15. $13 = \lceil\tau+\tau\rceil$
16. $14 = \lceil\tau\rceil\times\lceil\phi\rceil$
17. $15 = \lceil\phi^\tau-\tau\rceil$
18. $16 = \lfloor\tau\times\phi+\tau\rfloor$
19. $17 = \lfloor\phi^{\lfloor\tau\rfloor}\rfloor$
20. $18 = \lceil\phi^{\lfloor\tau\rfloor}\rceil$
21. $19 = \lfloor\tau^\phi\rfloor$
22. $20 = \lceil\tau^\phi\rceil$
23. $21 = \lceil\phi^\tau\rceil$
24. $22 = \lfloor\phi^\tau+\phi\rfloor$
25. $23 = \lfloor\lceil\tau\rceil^\phi\rfloor$
26. $24 = \lceil\lceil\tau\rceil^\phi\rceil$
27. $25 = \lfloor\tau^\phi+\tau\rfloor$
28. $26 = \lfloor\phi^\tau+\tau\rfloor$
29. $27 = \lceil\phi^\tau+\tau\rceil$
30. $28 = \lceil\phi^{\lceil\tau\rceil}-\phi\rceil$
31. $29 = \lfloor\phi^{\lceil\tau\rceil}\rfloor$
32. $30 = \lceil\phi^{\lceil\tau\rceil}\rceil$
33. $31 = \lfloor\phi\times\tau^\phi\rfloor$
34. $32 = \lceil\phi\times\tau^\phi\rceil$
35. $33 = \lfloor\phi\times\phi^\tau\rfloor$
36. $34 = \lceil\phi\times\phi^\tau\rceil$
37. $35 = \lfloor\phi^{\lceil\tau\rceil}+\tau\rfloor$
38. $36 = \lfloor\tau\rfloor^{\lceil\phi\rceil}$
39. $37 = \lfloor\lfloor\tau\rfloor\times\tau\rfloor$
40. $38 = \lceil\lfloor\tau\rfloor\times\tau\rceil$
41. $39 = \lfloor\tau\times\tau\rfloor$
42. $40 = \lceil\tau\times\tau\rceil$
43. $41 = \lfloor\tau\times\tau+\phi\rfloor$
44. $42 = \lfloor\tau\rfloor\times\lceil\tau\rceil$
45. $43 = \lfloor\lceil\tau\rceil\times\tau\rfloor$
46. $44 = \lceil\lceil\tau\rceil\times\tau\rceil$
47. $45 = \lceil\phi^{\tau+\phi}\rceil$
48. $46 = \lceil\tau\times\tau+\tau\rceil$
49. $47 = \lceil\phi^{\lceil\tau+\phi\rceil}\rceil$
50. $48 = \lfloor\lceil\tau\times\phi\rceil^\phi\rfloor$
51. $49 = \lceil\tau\rceil^{\lceil\phi\rceil}$
52. $50 = \lfloor\lceil\tau\rceil\times\tau+\tau\rfloor$
53.
54. Points per line:
55.
56.     2 2 4 4 4   2 2 4 5 4
57.     4 4 4 5 6   6 5 5 4 4
58.     4 6 5 5 6   6 6 7 5 5
59.     6 6 6 6 7   5 5 5 4 4
60.     6 5 5 5 6   6 7 7 5 7
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