Technologies for supporting high-order geodesic mesh frameworks for computational astrophysics and space sciences

Table 2 Triangular geodesic mesh properties at divisions 0–8

Div	Vertices	Edges	Faces	Avg. edge	Avg. angle	Average area	Edge ratio	Angle ratio	Area ratio
0	12	30	20	63.4^∘	72.0^∘	6.28 × 10⁻¹	1.00	1.00	1.00
1	42	120	80	33.9^∘	63.0^∘	1.57 × 10⁻¹	1.14	1.24	1.20
2	162	480	320	17.2^∘	60.8^∘	3.93 × 10⁻²	1.18	1.31	1.28
3	642	1920	1280	8.64^∘	60.2^∘	9.82 × 10⁻³	1.19	1.33	1.29
4	2562	7680	5120	4.33^∘	60.0^∘	2.45 × 10⁻³	1.19	1.33	1.30
5	10,242	30,720	20,480	2.16^∘	60.0^∘	6.14 × 10⁻⁴	1.19	1.33	1.30
6	40,962	122,880	81,920	1.08^∘	60.0^∘	1.53 × 10⁻⁴	1.19	1.33	1.30
7	163,842	491,520	327,680	0.54^∘	60.0^∘	3.84 × 10⁻⁵	1.19	1.33	1.30
8	655,362	1,966,080	1,310,720	0.27^∘	60.0^∘	1.16 × 10⁻⁵	1.19	1.33	1.30