Hierarchical progressive surveys - Multi-resolution HEALPix data structures for astronomical images, catalogues, and 3-dimensional data cubes

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Table 1

HiPS tile and pixel properties for n_tile = 512.

k	N_side = 2^k	N_pix	θ_pix	k_tile,512	N_tile,512	θ_tile,512



0	1	12	58.̊6
1	2	48	29.̊3
2	4	192	14.̊7
3	8	768	7.̊33
4	16	3072	3.̊66
5	32	12 288	1.̊83
6	64	49 152	55.́0
7	128	196 608	27.́5
8	256	786 432	13.́7
9	512	3 145 728	6.́87	0	12	58.̊6
10	1024	12 582 912	3.́44	1	48	29.̊3
11	2048	50 331 648	1.́72	2	192	14.̊7
12	4096	201 326 592	51.̋5	3	768	7.̊33
13	8192	805 306 368	25.̋8	4	3072	3.̊66
14	2¹⁴	3.22 × 10⁹	12.̋9	5	12 288	1.̊83
15	2¹⁵	1.29 × 10¹⁰	6.̋44	6	49 152	55.́0
16	2¹⁶	5.15 × 10¹⁰	3.̋22	7	196 608	27.́5
17	2¹⁷	2.06 × 10¹¹	1.̋61	8	786 432	13.́7
18	2¹⁸	8.25 × 10¹¹	0.̋81	9	3 145 728	6.́87
19	2¹⁹	3.30 × 10¹²	0.̋40	10	12 582 912	3.́44
20	2²⁰	1.32 × 10¹³	0.̋20	11	50 331 648	1.́72
21	2²¹	5.28 × 10¹³	0.̋10	12	201 326 592	51.̋5
22	2²²	2.11 × 10¹⁴	50.3 mas	13	805 306 368	25.̋8
23	2²³	8.44 × 10¹⁴	25.1 mas	14	3.22 × 10⁹	12.̋9
24	2²⁴	3.38 × 10¹⁵	12.6 mas	15	1.29 × 10¹⁰	6.̋44
25	2²⁵	1.35 × 10¹⁶	6.29 mas	16	5.15 × 10¹⁰	3.̋22
26	2²⁶	5.40 × 10¹⁶	3.15 mas	17	2.06 × 10¹¹	1.̋61
27	2²⁷	2.16 × 10¹⁷	1.57 mas	18	8.25 × 10¹¹	0.̋81
28	2²⁸	8.65 × 10¹⁷	0.786 mas	19	3.30 × 10¹²	0.̋40
29	2²⁹	3.46 × 10¹⁸	0.393 mas	20	1.32 × 10¹³	0.̋20

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