About the geometry of a marble intarsia
R\n | 15 | 14 | 13 | 12 | 11 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 |
1 | 0.66 | 0.66 | 0.66 | 0.66 | 0.66 | 0.67 | 0.67 | 0.69 | 0.70 | 0.74 | 0.78 | 0.86 | 0.98 | 1.16 | 1.41 |
2 | 1.31 | 1.31 | 1.31 | 1.32 | 1.32 | 1.33 | 1.35 | 1.37 | 1.41 | 1.47 | 1.57 | 1.72 | 1.96 | 2.32 | 2.83 |
3 | 1.97 | 1.97 | 1.97 | 1.98 | 1.98 | 2.00 | 2.02 | 2.06 | 2.11 | 2.21 | 2.35 | 2.58 | 2.94 | 3.47 | 4.24 |
4 | 2.62 | 2.62 | 2.63 | 2.63 | 2.65 | 2.66 | 2.69 | 2.74 | 2.82 | 2.94 | 3.14 | 3.44 | 3.92 | 4.63 | 5.66 |
5 | 3.28 | 3.28 | 3.28 | 3.29 | 3.31 | 3.33 | 3.37 | 3.43 | 3.52 | 3.68 | 3.92 | 4.30 | 4.90 | 5.79 | 7.07 |
6 | 3.93 | 3.93 | 3.94 | 3.95 | 3.97 | 4.00 | 4.04 | 4.11 | 4.23 | 4.41 | 4.70 | 5.17 | 5.88 | 6.95 | 8.49 |
7 | 4.59 | 4.59 | 4.60 | 4.61 | 4.63 | 4.66 | 4.71 | 4.80 | 4.93 | 5.15 | 5.49 | 6.03 | 6.86 | 8.11 | 9.90 |
8 | 5.24 | 5.25 | 5.25 | 5.27 | 5.29 | 5.33 | 5.39 | 5.48 | 5.64 | 5.88 | 6.27 | 6.89 | 7.84 | 9.27 | 11.31 |
9 | 5.90 | 5.90 | 5.91 | 5.93 | 5.95 | 5.99 | 6.06 | 6.17 | 6.34 | 6.62 | 7.06 | 7.75 | 8.82 | 10.42 | 12.73 |
10 | 6.55 | 6.56 | 6.57 | 6.59 | 6.61 | 6.66 | 6.73 | 6.85 | 7.05 | 7.35 | 7.84 | 8.61 | 9.80 | 11.58 | 14.14 |
11 | 7.21 | 7.21 | 7.23 | 7.24 | 7.28 | 7.33 | 7.41 | 7.54 | 7.75 | 8.09 | 8.63 | 9.47 | 10.78 | 12.74 | 15.56 |
12 | 7.86 | 7.87 | 7.88 | 7.90 | 7.94 | 7.99 | 8.08 | 8.22 | 8.46 | 8.82 | 9.41 | 10.33 | 11.76 | 13.9 | 16.97 |
13 | 8.52 | 8.52 | 8.54 | 8.56 | 8.60 | 8.66 | 8.75 | 8.91 | 9.16 | 9.56 | 10.19 | 11.19 | 12.74 | 15.06 | 18.38 |
14 | 9.17 | 9.18 | 9.20 | 9.22 | 9.26 | 9.32 | 9.43 | 9.60 | 9.86 | 10.29 | 10.98 | 12.05 | 13.72 | 16.22 | 19.8 |
15 | 9.83 | 9.84 | 9.85 | 9.88 | 9.92 | 9.99 | 10.1 | 10.28 | 10.57 | 11.03 | 11.76 | 12.91 | 14.7 | 17.37 | 21.21 |
16 | 10.48 | 10.49 | 10.51 | 10.54 | 10.58 | 10.66 | 10.78 | 10.97 | 11.27 | 11.76 | 12.55 | 13.78 | 15.68 | 18.53 | 22.63 |
17 | 11.14 | 11.15 | 11.17 | 11.2 | 11.24 | 11.32 | 11.45 | 11.65 | 11.98 | 12.5 | 13.33 | 14.64 | 16.65 | 19.69 | 24.04 |
18 | 11.79 | 11.8 | 11.82 | 11.85 | 11.91 | 11.99 | 12.12 | 12.34 | 12.68 | 13.24 | 14.11 | 15.5 | 17.63 | 20.85 | 25.46 |
19 | 12.45 | 12.46 | 12.48 | 12.51 | 12.57 | 12.65 | 12.8 | 13.02 | 13.39 | 13.97 | 14.9 | 16.36 | 18.61 | 22.01 | 26.87 |
20 | 13.1 | 13.11 | 13.14 | 13.17 | 13.23 | 13.32 | 13.47 | 13.71 | 14.09 | 14.71 | 15.68 | 17.22 | 19.59 | 23.17 | 28.28 |
21 | 13.76 | 13.77 | 13.79 | 13.83 | 13.89 | 13.99 | 14.14 | 14.39 | 14.8 | 15.44 | 16.47 | 18.08 | 20.57 | 24.32 | 29.7 |
22 | 14.41 | 14.43 | 14.45 | 14.49 | 14.55 | 14.65 | 14.82 | 15.08 | 15.5 | 16.18 | 17.25 | 18.94 | 21.55 | 25.48 | 31.11 |
23 | 15.07 | 15.08 | 15.11 | 15.15 | 15.21 | 15.32 | 15.49 | 15.76 | 16.21 | 16.91 | 18.04 | 19.8 | 22.53 | 26.64 | 32.53 |
24 | 15.72 | 15.74 | 15.76 | 15.81 | 15.87 | 15.98 | 16.16 | 16.45 | 16.91 | 17.65 | 18.82 | 20.66 | 23.51 | 27.8 | 33.94 |
25 | 16.38 | 16.39 | 16.42 | 16.46 | 16.54 | 16.65 | 16.84 | 17.13 | 17.61 | 18.38 | 19.6 | 21.52 | 24.49 | 28.96 | 35.36 |
26 | 17.03 | 17.05 | 17.08 | 17.12 | 17.2 | 17.32 | 17.51 | 17.82 | 18.32 | 19.12 | 20.39 | 22.38 | 25.47 | 30.12 | 36.77 |
27 | 17.69 | 17.71 | 17.73 | 17.78 | 17.86 | 17.98 | 18.18 | 18.51 | 19.02 | 19.85 | 21.17 | 23.25 | 26.45 | 31.27 | 38.18 |
28 | 18.34 | 18.36 | 18.39 | 18.44 | 18.52 | 18.65 | 18.86 | 19.19 | 19.73 | 20.59 | 21.96 | 24.11 | 27.43 | 32.43 | 39.6 |
29 | 19.0 | 19.02 | 19.05 | 19.1 | 19.18 | 19.32 | 19.53 | 19.88 | 20.43 | 21.32 | 22.74 | 24.97 | 28.41 | 33.59 | 41.01 |
30 | 19.65 | 19.67 | 19.71 | 19.76 | 19.84 | 19.98 | 20.2 | 20.56 | 21.14 | 22.06 | 23.52 | 25.83 | 29.39 | 34.75 | 42.43 |
31 | 20.31 | 20.33 | 20.36 | 20.42 | 20.5 | 20.65 | 20.88 | 21.25 | 21.84 | 22.79 | 24.31 | 26.69 | 30.37 | 35.91 | 43.84 |
32 | 20.96 | 20.98 | 21.02 | 21.08 | 21.17 | 21.31 | 21.55 | 21.93 | 22.55 | 23.53 | 25.09 | 27.55 | 31.35 | 37.07 | 45.25 |
33 | 21.62 | 21.64 | 21.68 | 21.73 | 21.83 | 21.98 | 22.22 | 22.62 | 23.25 | 24.27 | 25.88 | 28.41 | 32.33 | 38.22 | 46.67 |
34 | 22.27 | 22.3 | 22.33 | 22.39 | 22.49 | 22.65 | 22.9 | 23.3 | 23.96 | 25.0 | 26.66 | 29.27 | 33.31 | 39.38 | 48.08 |
35 | 22.93 | 22.95 | 22.99 | 23.05 | 23.15 | 23.31 | 23.57 | 23.99 | 24.66 | 25.74 | 27.44 | 30.13 | 34.29 | 40.54 | 49.5 |
36 | 23.58 | 23.61 | 23.65 | 23.71 | 23.81 | 23.98 | 24.24 | 24.67 | 25.37 | 26.47 | 28.23 | 30.99 | 35.27 | 41.7 | 50.91 |
37 | 24.24 | 24.26 | 24.3 | 24.37 | 24.47 | 24.64 | 24.92 | 25.36 | 26.07 | 27.21 | 29.01 | 31.85 | 36.25 | 42.86 | 52.33 |
38 | 24.89 | 24.92 | 24.96 | 25.03 | 25.13 | 25.31 | 25.59 | 26.05 | 26.77 | 27.94 | 29.8 | 32.72 | 37.23 | 44.02 | 53.74 |
39 | 25.55 | 25.57 | 25.62 | 25.69 | 25.8 | 25.98 | 26.26 | 26.73 | 27.48 | 28.68 | 30.58 | 33.58 | 38.21 | 45.17 | 55.15 |
40 | 26.2 | 26.23 | 26.27 | 26.34 | 26.46 | 26.64 | 26.94 | 27.42 | 28.18 | 29.41 | 31.37 | 34.44 | 39.19 | 46.33 | 56.57 |
41 | 26.86 | 26.89 | 26.93 | 27.0 | 27.12 | 27.31 | 27.61 | 28.1 | 28.89 | 30.15 | 32.15 | 35.3 | 40.17 | 47.49 | 57.98 |
42 | 27.51 | 27.54 | 27.59 | 27.66 | 27.78 | 27.97 | 28.28 | 28.79 | 29.59 | 30.88 | 32.93 | 36.16 | 41.15 | 48.65 | 59.4 |
43 | 28.17 | 28.2 | 28.24 | 28.32 | 28.44 | 28.64 | 28.96 | 29.47 | 30.3 | 31.62 | 33.72 | 37.02 | 42.13 | 49.81 | 60.81 |
44 | 28.82 | 28.85 | 28.9 | 28.98 | 29.1 | 29.31 | 29.63 | 30.16 | 31.0 | 32.35 | 34.5 | 37.88 | 43.11 | 50.97 | 62.23 |
45 | 29.48 | 29.51 | 29.56 | 29.64 | 29.76 | 29.97 | 30.31 | 30.84 | 31.71 | 33.09 | 35.29 | 38.74 | 44.09 | 52.12 | 63.64 |
46 | 30.13 | 30.16 | 30.21 | 30.3 | 30.43 | 30.64 | 30.98 | 31.53 | 32.41 | 33.82 | 36.07 | 39.6 | 45.07 | 53.28 | 65.05 |
47 | 30.79 | 30.82 | 30.87 | 30.95 | 31.09 | 31.3 | 31.65 | 32.21 | 33.12 | 34.56 | 36.85 | 40.46 | 46.05 | 54.44 | 66.47 |
48 | 31.44 | 31.48 | 31.53 | 31.61 | 31.75 | 31.97 | 32.33 | 32.9 | 33.82 | 35.29 | 37.64 | 41.33 | 47.03 | 55.6 | 67.88 |
49 | 32.1 | 32.13 | 32.18 | 32.27 | 32.41 | 32.64 | 33.0 | 33.58 | 34.53 | 36.03 | 38.42 | 42.19 | 48.0 | 56.76 | 69.3 |
50 | 32.75 | 32.79 | 32.84 | 32.93 | 33.07 | 33.3 | 33.67 | 34.27 | 35.23 | 36.77 | 39.21 | 43.05 | 48.98 | 57.92 | 70.71 |
51 | 33.41 | 33.44 | 33.5 | 33.59 | 33.73 | 33.97 | 34.35 | 34.96 | 35.93 | 37.5 | 39.99 | 43.91 | 49.96 | 59.07 | 72.12 |
52 | 34.06 | 34.1 | 34.16 | 34.25 | 34.39 | 34.63 | 35.02 | 35.64 | 36.64 | 38.24 | 40.78 | 44.77 | 50.94 | 60.23 | 73.54 |
53 | 34.72 | 34.75 | 34.81 | 34.91 | 35.06 | 35.3 | 35.69 | 36.33 | 37.34 | 38.97 | 41.56 | 45.63 | 51.92 | 61.39 | 74.95 |
54 | 35.37 | 35.41 | 35.47 | 35.56 | 35.72 | 35.97 | 36.37 | 37.01 | 38.05 | 39.71 | 42.34 | 46.49 | 52.9 | 62.55 | 76.37 |
55 | 36.03 | 36.07 | 36.13 | 36.22 | 36.38 | 36.63 | 37.04 | 37.7 | 38.75 | 40.44 | 43.13 | 47.35 | 53.88 | 63.71 | 77.78 |