All of internal angles in miraculous pentagram are...

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Pentagramma mirificum (Latin for miraculous pentagram) is a star polygon on a sphere, composed of five great circle arcs, whose all internal angles are right angles. This shape was described by John Napier in his 1614 book along with rules that link the values of trigonometric functions of five parts of a right spherical triangle (two angles and three sides). The properties of pentagramma mirificum were studied, among others, by Carl Friedrich Gauss.
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flagthe Netherlands
60%
10%
10%
20%
10
flagFrance
54%
0%
9%
36%
11
flagGreece
50%
16%
27%
5%
18
flagthe Philippines
50%
10%
20%
20%
10
flagPakistan
45%
0%
18%
36%
11
flagPoland
40%
23%
12%
22%
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flagIndia
37%
28%
15%
18%
83
flagAustralia
34%
19%
3%
42%
26
flagthe United States
28%
22%
30%
18%
83
flagCanada
26%
33%
6%
33%
15
flagGermany
24%
20%
12%
40%
25
flagthe United Kingdom
22%
27%
14%
35%
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