Golden Spiral | Desmos

Hidden Label: left parenthesis, "L" Subscript, 1 , Baseline , "L" Subscript, 2 , Baseline , right parenthesis , left parenthesis, "M" Subscript, 1 , Baseline , "M" Subscript, 2 , Baseline , right parenthesis

Label

equals

left parenthesis, 15.4 6 , negative 4.3 7 2 , right parenthesis

left parenthesis, 13.5 6 , negative 4.3 7 2 , right parenthesis

14

Hidden Label: left parenthesis, "N" Subscript, 1 , Baseline , "N" Subscript, 2 , Baseline , right parenthesis , left parenthesis, "O" Subscript, 1 , Baseline , "O" Subscript, 2 , Baseline , right parenthesis

Label

equals

left parenthesis, 14.2 9 , negative 5.5 4 3 , right parenthesis

left parenthesis, 14.2 9 , negative 4.3 7 2 , right parenthesis

15

Hidden Label: left parenthesis, "P" Subscript, 1 , Baseline , "P" Subscript, 2 , Baseline , right parenthesis , left parenthesis, "Q" Subscript, 1 , Baseline , "Q" Subscript, 2 , Baseline , right parenthesis

Label

equals

left parenthesis, 13.5 6 , negative 4.8 1 9 , right parenthesis

left parenthesis, 14.2 9 , negative 4.8 1 9 , right parenthesis

16

Hidden Label: left parenthesis, "R" Subscript, 1 , Baseline , "R" Subscript, 2 , Baseline , right parenthesis , left parenthesis, "S" Subscript, 1 , Baseline , "S" Subscript, 2 , Baseline , right parenthesis

Label

equals

left parenthesis, 14.0 1 , negative 4.3 7 2 , right parenthesis

left parenthesis, 14.0 1 , negative 4.8 1 9 , right parenthesis

17

Expression 18: left parenthesis, "X" plus "S" cos "t" , "Y" plus "S" sin "t" , right parenthesis

domain t Minimum: StartFraction, pi Over 2 , EndFraction

less than or equal to "t" less than or equal to

domain t Maximum: pi

18

Expression 19: left parenthesis, "A" Subscript, 1 , Baseline plus StartFraction, "S" Over phi , EndFraction cos "t" , "A" Subscript, 2 , Baseline plus StartFraction, "S" Over phi , EndFraction sin "t" , right parenthesis

domain t Minimum: 0

less than or equal to "t" less than or equal to

domain t Maximum: StartFraction, pi Over 2 , EndFraction

19

Expression 20: left parenthesis, "G" Subscript, 1 , Baseline plus StartFraction, "S" Over phi squared , EndFraction cos "t" , "G" Subscript, 2 , Baseline plus StartFraction, "S" Over phi squared , EndFraction sin "t" , right parenthesis

domain t Minimum: StartFraction, 3 pi Over 2 , EndFraction

less than or equal to "t" less than or equal to

domain t Maximum: tau

20

Expression 21: left parenthesis, "I" Subscript, 1 , Baseline plus StartFraction, "S" Over phi cubed , EndFraction cos "t" , "I" Subscript, 2 , Baseline plus StartFraction, "S" Over phi cubed , EndFraction sin "t" , right parenthesis

domain t Minimum: pi

less than or equal to "t" less than or equal to

domain t Maximum: StartFraction, 3 pi Over 2 , EndFraction

21

Expression 22: left parenthesis, "K" Subscript, 1 , Baseline plus StartFraction, "S" Over phi to the 4th power , EndFraction cos "t" , "K" Subscript, 2 , Baseline plus StartFraction, "S" Over phi to the 4th power , EndFraction sin "t" , right parenthesis

domain t Minimum: StartFraction, pi Over 2 , EndFraction

less than or equal to "t" less than or equal to

domain t Maximum: pi

22

Expression 23: left parenthesis, "M" Subscript, 1 , Baseline plus StartFraction, "S" Over phi to the 5th power , EndFraction cos "t" , "M" Subscript, 2 , Baseline plus StartFraction, "S" Over phi to the 5th power , EndFraction sin "t" , right parenthesis

domain t Minimum: 0

less than or equal to "t" less than or equal to

domain t Maximum: StartFraction, pi Over 2 , EndFraction

23

Expression 24: left parenthesis, "O" Subscript, 1 , Baseline plus StartFraction, "S" Over phi to the 6th power , EndFraction cos "t" , "O" Subscript, 2 , Baseline plus StartFraction, "S" Over phi to the 6th power , EndFraction sin "t" , right parenthesis

domain t Minimum: negative StartFraction, pi Over 2 , EndFraction

less than or equal to "t" less than or equal to

domain t Maximum: 0

24

Expression 25: left parenthesis, "Q" Subscript, 1 , Baseline plus StartFraction, "S" Over phi to the 7th power , EndFraction cos "t" , "Q" Subscript, 2 , Baseline plus StartFraction, "S" Over phi to the 7th power , EndFraction sin "t" , right parenthesis

domain t Minimum: pi

less than or equal to "t" less than or equal to

domain t Maximum: StartFraction, 3 pi Over 2 , EndFraction

25

Expression 26: left parenthesis, "S" Subscript, 1 , Baseline plus StartFraction, "S" Over phi to the 8th power , EndFraction cos "t" , "S" Subscript, 2 , Baseline plus StartFraction, "S" Over phi to the 8th power , EndFraction sin "t" , right parenthesis

domain t Minimum: StartFraction, pi Over 2 , EndFraction

less than or equal to "t" less than or equal to

domain t Maximum: pi

26

Coordinates

27

Points

68

94

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Start black, StartFraction, "S" Over phi to the 0 power , EndFraction End black

Start black, StartFraction, "S" Over phi , EndFraction End black

Start black, StartFraction, "S" Over phi squared , EndFraction End black

Start black, StartFraction, "S" Over phi cubed , EndFraction End black

Start black, StartFraction, "S" Over phi to the 4th power , EndFraction End black

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