The Blue Marble

Expression 51: "z" Subscript, 8 , Baseline equals cosine left parenthesis, "l" Subscript, "a" 8 , Baseline , right parenthesis cosine left parenthesis, negative "l" Subscript, "o" 8 , Baseline , right parenthesis

equals

negative 0.3 6 3 3 1 0 7 9 9 7 1 4

negative 0.3 9 1 3 0 8 3 4 6 6 4 1

negative 0.4 0 3 6 5 4 1 2 7 2 9 4

negative 0.3 9 9 6 3 1 9 3 0 5 2 6

negative 0.4 0 9 8 6 7 1 1 3 1 0 6

negative 0.4 2 3 5 4 0 8 8 3 7 6 2

negative 0.4 4 7 7 2 9 7 1 8 5 6 5

negative 0.4 4 7 9 9 5 3 7 1 8 3 8

negative 0.4 7 3 2 6 9 9 1 2 7 3 9

negative 0.4 9 2 0 3 2 8 4 9 0 5 2

negative 0.5 1 6 9 7 4 9 6 3 3 9 9

negative 0.5 0 6 0 1 7 3 5 0 3 2 2

negative 0.4 6 7 7 7 1 2 7 6 5 8

negative 0.4 8 3 7 6 2 8 0 8 6 8 3

negative 0.4 7 7 4 4 6 2 2 2 8 6 7

124 element list

Expression 52: "x" Subscript, 9 , Baseline equals cosine left parenthesis, "l" Subscript, "a" 9 , Baseline , right parenthesis sine left parenthesis, negative "l" Subscript, "o" 9 , Baseline , right parenthesis

equals

0.6 2 0 3 4 8 4 4 3 6 9 4

0.5 9 9 3 9 5 0 8 2 5 5 6

0.5 8 4 7 7 4 2 8 6 3 7 1

0.5 8 2 8 1 4 0 3 3 9 9 4

0.5 5 2 9 7 0 7 8 0 6 0 2

0.5 2 6 8 0 5 9 1 0 4 1 5

0.4 8 7 0 1 7 2 1 1 0 2

0.4 7 9 8 5 2 7 2 5 3 8 1

0.5 4 1 3 1 5 1 1 5 3 5

0.5 2 6 5 5 3 1 2 2 5 5 6

0.5 2 4 0 1 8 5 7 0 7 5 3

0.4 9 1 7 4 4 5 3 6 0 1 4

0.4 6 4 7 5 8 7 6 3 8 2 5

0.4 6 0 9 3 4 9 4 9 6 4 1

0.4 7 7 7 9 2 1 0 8 7 5 7

159 element list

Expression 53: "y" Subscript, 9 , Baseline equals sine left parenthesis, "l" Subscript, "a" 9 , Baseline , right parenthesis

equals

negative 0.1 6 0 3 0 5 3 5 4 0 7 4

negative 0.1 4 7 4 6 0 2 9 2 7 6

negative 0.1 3 2 6 0 8 2 4 0 4 8 6

negative 0.1 4 0 5 3 3 2 6 0 7 0 4

negative 0.1 7 5 0 9 2 7 7 6 9 1 4

negative 0.1 8 5 9 1 2 0 3 6 8 2 6

negative 0.1 8 0 0 1 3 3 2 7 4 4

negative 0.1 1 8 7 1 9 3 3 8 9 6 2

negative 0.1 1 3 7 5 3 2 3 6 4 0 2

negative 0.0 9 8 8 3 8 3 6 2 7 3 0 7

negative 0.1 1 0 7 7 2 2 0 1 8 8

negative 0.0 9 1 8 7 0 2 7 3 5 7 9 1

negative 0.0 7 6 9 2 3 9 3 3 7 2

negative 0.0 7 2 9 3 5 1 8 1 1 0 6 7

159 element list

Expression 54: "z" Subscript, 9 , Baseline equals cosine left parenthesis, "l" Subscript, "a" 9 , Baseline , right parenthesis cosine left parenthesis, negative "l" Subscript, "o" 9 , Baseline , right parenthesis

equals

negative 0.7 6 7 7 6 9 4 9 7 8 7 2

negative 0.7 8 4 2 3 7 0 3 5 8 9 1

negative 0.7 9 7 6 8 0 6 9 8 0 6 1

negative 0.8 0 1 7 1 2 4 5 2 4 0 1

negative 0.8 2 1 2 6 3 4 8 9 0 4 4

negative 0.8 3 1 7 5 6 0 0 5 2 2 3

negative 0.8 5 3 3 7 6 2 0 7 0 3 5

negative 0.8 5 8 6 8 3 0 4 0 4 1 1

negative 0.8 3 2 3 9 6 3 3 8 5 6 1

negative 0.8 4 2 4 9 7 4 8 3 8 7 4

negative 0.8 4 5 9 5 2 4 3 1 0 2 6

negative 0.8 6 3 6 6 4 7 6 7 4 8 3

negative 0.8 8 0 6 5 8 3 5 8 4 3 5

negative 0.8 8 4 0 9 3 7 0 5 7 9 2

negative 0.8 7 5 4 3 9 9 8 0 9 0 4

159 element list

Center of the night hemisphere, which lets me compute which points should be shadowed more efficiently.

Expression 56: "n" Subscript, "x" , Baseline equals "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, cos left parenthesis, theta Subscript, "t" , Baseline , right parenthesis , 0 , negative sin left parenthesis, theta Subscript, "t" , Baseline , right parenthesis , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis

equals

Expression 57: "n" Subscript, "y" , Baseline equals "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, cos left parenthesis, theta Subscript, "t" , Baseline , right parenthesis , 0 , negative sin left parenthesis, theta Subscript, "t" , Baseline , right parenthesis , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis

equals

Expression 58: "n" Subscript, "z" , Baseline equals "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, cos left parenthesis, theta Subscript, "t" , Baseline , right parenthesis , 0 , negative sin left parenthesis, theta Subscript, "t" , Baseline , right parenthesis , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis

equals

Oceans

Expression 60: StartAbsoluteValue, "x" "y" , EndAbsoluteValue greater than negative 1 left brace, "x" squared plus "y" squared less than 1 , right brace

Expression 61: StartAbsoluteValue, "x" "y" , EndAbsoluteValue greater than negative 1 left brace, "x" squared plus "y" squared less than 1 , right brace

Landmasses

Expression 63: polygon left parenthesis, left parenthesis, "T" Subscript, "X" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , "z" Subscript, 1 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , "z" Subscript, 1 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , "z" Subscript, 1 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis , "T" Subscript, "Y" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , "z" Subscript, 1 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , "z" Subscript, 1 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , "z" Subscript, 1 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis left brace, max left parenthesis, "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , "z" Subscript, 1 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , right parenthesis greater than 0 , right brace , right parenthesis , right parenthesis

Expression 64: polygon left parenthesis, left parenthesis, "T" Subscript, "X" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , "z" Subscript, 2 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , "z" Subscript, 2 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , "z" Subscript, 2 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis , "T" Subscript, "Y" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , "z" Subscript, 2 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , "z" Subscript, 2 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , "z" Subscript, 2 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis left brace, max left parenthesis, "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , "z" Subscript, 2 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , right parenthesis greater than 0 , right brace , right parenthesis , right parenthesis

Expression 65: polygon left parenthesis, left parenthesis, "T" Subscript, "X" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 3 , Baseline , "y" Subscript, 3 , Baseline , "z" Subscript, 3 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 3 , Baseline , "y" Subscript, 3 , Baseline , "z" Subscript, 3 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 3 , Baseline , "y" Subscript, 3 , Baseline , "z" Subscript, 3 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis , "T" Subscript, "Y" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 3 , Baseline , "y" Subscript, 3 , Baseline , "z" Subscript, 3 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 3 , Baseline , "y" Subscript, 3 , Baseline , "z" Subscript, 3 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 3 , Baseline , "y" Subscript, 3 , Baseline , "z" Subscript, 3 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis left brace, max left parenthesis, "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 3 , Baseline , "y" Subscript, 3 , Baseline , "z" Subscript, 3 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , right parenthesis greater than 0 , right brace , right parenthesis , right parenthesis

Expression 66: polygon left parenthesis, left parenthesis, "T" Subscript, "X" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 4 , Baseline , "y" Subscript, 4 , Baseline , "z" Subscript, 4 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 4 , Baseline , "y" Subscript, 4 , Baseline , "z" Subscript, 4 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 4 , Baseline , "y" Subscript, 4 , Baseline , "z" Subscript, 4 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis , "T" Subscript, "Y" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 4 , Baseline , "y" Subscript, 4 , Baseline , "z" Subscript, 4 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 4 , Baseline , "y" Subscript, 4 , Baseline , "z" Subscript, 4 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 4 , Baseline , "y" Subscript, 4 , Baseline , "z" Subscript, 4 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis left brace, max left parenthesis, "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 4 , Baseline , "y" Subscript, 4 , Baseline , "z" Subscript, 4 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , right parenthesis greater than 0 , right brace , right parenthesis , right parenthesis

Expression 67: polygon left parenthesis, left parenthesis, "T" Subscript, "X" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 5 , Baseline , "y" Subscript, 5 , Baseline , "z" Subscript, 5 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 5 , Baseline , "y" Subscript, 5 , Baseline , "z" Subscript, 5 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 5 , Baseline , "y" Subscript, 5 , Baseline , "z" Subscript, 5 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis , "T" Subscript, "Y" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 5 , Baseline , "y" Subscript, 5 , Baseline , "z" Subscript, 5 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 5 , Baseline , "y" Subscript, 5 , Baseline , "z" Subscript, 5 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 5 , Baseline , "y" Subscript, 5 , Baseline , "z" Subscript, 5 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis left brace, max left parenthesis, "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 5 , Baseline , "y" Subscript, 5 , Baseline , "z" Subscript, 5 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , right parenthesis greater than 0 , right brace , right parenthesis , right parenthesis

Expression 68: polygon left parenthesis, left parenthesis, "T" Subscript, "X" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 6 , Baseline , "y" Subscript, 6 , Baseline , "z" Subscript, 6 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 6 , Baseline , "y" Subscript, 6 , Baseline , "z" Subscript, 6 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 6 , Baseline , "y" Subscript, 6 , Baseline , "z" Subscript, 6 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis , "T" Subscript, "Y" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 6 , Baseline , "y" Subscript, 6 , Baseline , "z" Subscript, 6 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 6 , Baseline , "y" Subscript, 6 , Baseline , "z" Subscript, 6 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 6 , Baseline , "y" Subscript, 6 , Baseline , "z" Subscript, 6 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis left brace, max left parenthesis, "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 6 , Baseline , "y" Subscript, 6 , Baseline , "z" Subscript, 6 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , right parenthesis greater than 0 , right brace , right parenthesis , right parenthesis

Expression 69: polygon left parenthesis, left parenthesis, "T" Subscript, "X" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 7 , Baseline , "y" Subscript, 7 , Baseline , "z" Subscript, 7 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 7 , Baseline , "y" Subscript, 7 , Baseline , "z" Subscript, 7 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 7 , Baseline , "y" Subscript, 7 , Baseline , "z" Subscript, 7 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis , "T" Subscript, "Y" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 7 , Baseline , "y" Subscript, 7 , Baseline , "z" Subscript, 7 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 7 , Baseline , "y" Subscript, 7 , Baseline , "z" Subscript, 7 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 7 , Baseline , "y" Subscript, 7 , Baseline , "z" Subscript, 7 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis left brace, max left parenthesis, "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 7 , Baseline , "y" Subscript, 7 , Baseline , "z" Subscript, 7 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , right parenthesis greater than 0 , right brace , right parenthesis , right parenthesis

Expression 70: polygon left parenthesis, left parenthesis, "T" Subscript, "X" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 8 , Baseline , "y" Subscript, 8 , Baseline , "z" Subscript, 8 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 8 , Baseline , "y" Subscript, 8 , Baseline , "z" Subscript, 8 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 8 , Baseline , "y" Subscript, 8 , Baseline , "z" Subscript, 8 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis , "T" Subscript, "Y" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 8 , Baseline , "y" Subscript, 8 , Baseline , "z" Subscript, 8 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 8 , Baseline , "y" Subscript, 8 , Baseline , "z" Subscript, 8 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 8 , Baseline , "y" Subscript, 8 , Baseline , "z" Subscript, 8 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis left brace, max left parenthesis, "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 8 , Baseline , "y" Subscript, 8 , Baseline , "z" Subscript, 8 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , right parenthesis greater than 0 , right brace , right parenthesis , right parenthesis

Expression 71: polygon left parenthesis, left parenthesis, "T" Subscript, "X" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 9 , Baseline , "y" Subscript, 9 , Baseline , "z" Subscript, 9 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 9 , Baseline , "y" Subscript, 9 , Baseline , "z" Subscript, 9 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 9 , Baseline , "y" Subscript, 9 , Baseline , "z" Subscript, 9 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis , "T" Subscript, "Y" , Baseline left parenthesis, "R" Subscript, "x" "y" "z" "X" , Baseline left parenthesis, "x" Subscript, 9 , Baseline , "y" Subscript, 9 , Baseline , "z" Subscript, 9 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Y" , Baseline left parenthesis, "x" Subscript, 9 , Baseline , "y" Subscript, 9 , Baseline , "z" Subscript, 9 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 9 , Baseline , "y" Subscript, 9 , Baseline , "z" Subscript, 9 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , 0 , 0 , 0 , 1 , right parenthesis left brace, max left parenthesis, "R" Subscript, "x" "y" "z" "Z" , Baseline left parenthesis, "x" Subscript, 9 , Baseline , "y" Subscript, 9 , Baseline , "z" Subscript, 9 , Baseline , 0 , 0 , 0 , "a" Subscript, "x" , Baseline , "a" Subscript, "y" , Baseline , "a" Subscript, "z" , Baseline , right parenthesis , right parenthesis greater than 0 , right brace , right parenthesis , right parenthesis

Atmosphere

Expression 73: StartAbsoluteValue, "x" "y" , EndAbsoluteValue greater than negative 1 left brace, "x" squared plus "y" squared greater than 1 , right brace

Expression 74: StartAbsoluteValue, "x" "y" , EndAbsoluteValue greater than negative 1 left brace, "x" squared plus "y" squared greater than 1 , right brace

Expression 75: StartAbsoluteValue, "x" "y" , EndAbsoluteValue greater than negative 1 left brace, "x" squared plus "y" squared greater than left bracket, 1.0 2 , 1.0 4 , ... , 1.1 4 , right bracket , right brace

Night shadow. It also darkens the corresponding part of the atmosphere.

Expression 77: StartAbsoluteValue, "x" "y" , EndAbsoluteValue greater than negative 1 left brace, left parenthesis, StartFraction, "x" Over max left parenthesis, StartRoot, "x" squared plus "y" squared , EndRoot , 1 , right parenthesis , EndFraction minus "n" Subscript, "x" , Baseline , right parenthesis squared plus left parenthesis, StartFraction, "y" Over max left parenthesis, StartRoot, "x" squared plus "y" squared , EndRoot , 1 , right parenthesis , EndFraction minus "n" Subscript, "y" , Baseline , right parenthesis squared plus left parenthesis, StartRoot, max left parenthesis, 1 minus "x" squared minus "y" squared , 0 , right parenthesis , EndRoot minus "n" Subscript, "z" , Baseline , right parenthesis squared less than left bracket, 2.2 , 2.1 2 , 2.0 4 , 1.9 6 , 1.8 8 , 1.8 , right bracket , right brace left brace, "n" Subscript, "i" "g" "h" "t" , Baseline equals 1 , right brace

Black background

Expression 79: StartAbsoluteValue, "x" "y" , EndAbsoluteValue greater than negative 1 left brace, "x" squared plus "y" squared greater than 1.1 6 , right brace

Landmass data sets:

North & Central America

237 more rows

"l" Subscript, "o" 1 , Baseline	"l" Subscript, "a" 1 , Baseline
1.3 4 2	0.1 4 4	r1c3:
1.3 6 7	0.1 7 3	r2c3:
1.4 1 6	0.1 5 4	r3c3:
1.4 4 8	0.1 7 3	r4c3:
1.4 6 0	0.1 9 1	r5c3:
1.4 5 1	0.2 6 2	r6c3:
1.5 0 2	0.2 8 0	r7c3:
1.4 0 5	0.1 4 3	r245c3:
1.3 8 9	0.1 5 4	r246c3:
1.3 6 6	0.1 4 5	r247c3:
1.3 5 1	0.1 1 4	r248c3:
		r249c3:

South America

88 more rows

"l" Subscript, "o" 2 , Baseline	"l" Subscript, "a" 2 , Baseline
1.3 4 2	0.1 4 4	r1c3:
1.3 2 1	0.1 6 5	r2c3:
1.3 1 9	0.1 8 5	r3c3:
1.2 8 0	0.1 9 7	r4c3:
1.2 4 8	0.2 2 0	r5c3:
1.2 4 1	0.2 0 8	r6c3:
1.2 5 5	0.1 9 9	r7c3:
1.4 1 4	negative 0.0 3 8	r96c3:
1.4 0 0	0.0 1 4	r97c3:
1.3 4 8	0.0 6 6	r98c3:
1.3 5 1	0.1 1 4	r99c3:
		r100c3:

Africa & Middle East

113 more rows

"l" Subscript, "o" 3 , Baseline	"l" Subscript, "a" 3 , Baseline
negative 0.6 2 3	0.6 3 8	r1c3:
negative 0.6 2 7	0.6 0 3	r2c3:
negative 0.6 0 1	0.5 4 7	r3c3:
negative 0.5 6 9	0.5 4 3	r4c3:
negative 0.5 4 2	0.5 5 1	r5c3:
negative 0.5 1 3	0.5 4 0	r6c3:
negative 0.3 7 9	0.5 7 6	r7c3:
negative 0.5 2 6	0.6 3 0	r121c3:
negative 0.5 3 9	0.6 4 3	r122c3:
negative 0.5 7 5	0.6 2 8	r123c3:
negative 0.6 0 5	0.6 4 2	r124c3:
		r125c3:

Antarctica

49 more rows

"l" Subscript, "o" 4 , Baseline	"l" Subscript, "a" 4 , Baseline
0.9 9 5	negative 1.1 0 4	r1c3:
1.0 5 3	negative 1.1 5 2	r2c3:
1.0 4 0	negative 1.1 9 3	r3c3:
1.0 7 0	negative 1.3 0 7	r4c3:
0.7 5 3	negative 1.3 6 5	r5c3:
0.4 5 9	negative 1.3 2 9	r6c3:
0.4 3 8	negative 1.2 9 2	r7c3:
1.2 2 7	negative 1.2 0 2	r57c3:
1.2 0 6	negative 1.2 1 5	r58c3:
1.1 7 0	negative 1.1 9 9	r59c3:
1.1 7 9	negative 1.1 7 2	r60c3:
		r61c3:

Australia

83 more rows

"l" Subscript, "o" 5 , Baseline	"l" Subscript, "a" 5 , Baseline
negative 2.4 7 7	negative 0.1 9 1	r1c3:
negative 2.4 9 0	negative 0.1 8 5	r2c3:
negative 2.5 0 7	negative 0.2 5 1	r3c3:
negative 2.5 3 2	negative 0.2 5 6	r4c3:
negative 2.5 5 3	negative 0.3 3 1	r5c3:
negative 2.5 9 4	negative 0.3 5 3	r6c3:
negative 2.6 1 2	negative 0.3 8 8	r7c3:
negative 2.3 6 2	negative 0.2 6 0	r91c3:
negative 2.4 5 5	negative 0.3 1 0	r92c3:
negative 2.4 7 2	negative 0.2 6 4	r93c3:
negative 2.4 6 8	negative 0.2 2 6	r94c3:
		r95c3:

Europe

228 more rows

"l" Subscript, "o" 6 , Baseline	"l" Subscript, "a" 6 , Baseline
negative 1.1 5 8	0.4 4 3	r1c3:
negative 1.1 8 0	0.6 2 2	r2c3:
negative 1.2 0 2	0.8 0 1	r3c3:
negative 1.2 2 4	0.9 8 0	r4c3:
negative 1.2 4 6	1.1 5 9	r5c3:
negative 1.2 8 0	1.1 8 8	r6c3:
negative 1.2 7 1	1.2 6 9	r7c3:
negative 0.9 5 6	0.4 6 2	r236c3:
negative 0.9 9 1	0.4 7 4	r237c3:
negative 1.0 0 0	0.4 5 0	r238c3:
negative 1.0 8 0	0.4 3 7	r239c3:
		r240c3:

South Asia

69 more rows

"l" Subscript, "o" 7 , Baseline	"l" Subscript, "a" 7 , Baseline
negative 1.1 5 8	0.4 4 3	r1c3:
negative 1.2 3 5	0.3 6 1	r2c3:
negative 1.2 6 4	0.3 6 9	r3c3:
negative 1.2 8 2	0.2 8 8	r4c3:
negative 1.3 3 6	0.1 5 5	r5c3:
negative 1.3 5 1	0.1 4 1	r6c3:
negative 1.3 6 3	0.1 4 7	r7c3:
negative 1.6 2 8	0.7 3 7	r77c3:
negative 1.4 1 5	0.7 6 9	r78c3:
negative 1.2 0 2	0.8 0 1	r79c3:
negative 1.1 8 0	0.6 2 2	r80c3:
		r81c3:

North Asia

113 more rows

"l" Subscript, "o" 8 , Baseline	"l" Subscript, "a" 8 , Baseline
negative 2.0 5 4	0.6 7 3	r1c3:
negative 2.1 1 4	0.7 1 2	r2c3:
negative 2.1 3 1	0.7 0 8	r3c3:
negative 2.1 1 5	0.6 8 9	r4c3:
negative 2.1 2 7	0.6 8 2	r5c3:
negative 2.1 5 6	0.6 9 7	r6c3:
negative 2.1 8 9	0.6 8 8	r7c3:
negative 1.2 0 2	0.8 0 1	r121c3:
negative 1.4 1 5	0.7 6 9	r122c3:
negative 1.6 2 8	0.7 3 7	r123c3:
negative 1.8 4 1	0.7 0 5	r124c3:
		r125c3:

Southeast Asian islands

148 more rows

"l" Subscript, "o" 9 , Baseline	"l" Subscript, "a" 9 , Baseline
negative 2.4 6 2	negative 0.1 6 1	r1c3:
negative 2.4 8 9	negative 0.1 6 1	r2c3:
negative 2.5 0 9	negative 0.1 4 8	r3c3:
negative 2.5 1 3	negative 0.1 3 3	r4c3:
negative 2.5 4 9	negative 0.1 4 1	r5c3:
negative 2.5 7 7	negative 0.1 7 6	r6c3:
negative 2.6 2 3	negative 0.1 8 7	r7c3:
negative 2.4 2 0	negative 0.1 2 7	r156c3:
negative 2.4 0 9	negative 0.1 3 2	r157c3:
negative 2.4 0 1	negative 0.1 4 7	r158c3:
negative 2.4 4 1	negative 0.1 4 1	r159c3:
		r160c3:

A helper function which converts d-m-s coordinates to radians.

Expression 100: "f" left parenthesis, "d" , "m" , "s" , right parenthesis equals StartFraction, pi "d" Over 180 , EndFraction plus StartFraction, pi "m" Over 180 times 60 , EndFraction plus StartFraction, pi "s" Over 180 times 60 squared , EndFraction

100

Expression 101: "f" left parenthesis, 125 , 20 , 20 , right parenthesis

equals

2.1 8 7 5 7 6 2 9 1 9

101

102