Question

A Sine Wave Where Alternate Distances Between 'Wave-center' Points Are Powers of φ

score 174 · Answer 1 · 2020-01-24 00:48:41

174

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A Sine Wave Where Alternate Distances Between 'Wave-center' Points Are Powers of φ

Published on 24 Jan 2020 - 0:48

score 216 · Answer 2 · 2020-01-26 06:17:13

216

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Defining $α$ Via The Golden Angle in $\sin(t)·\left(α·φ^{t-{π/2}/π}+β-\frac{α}{φ^{1/2}}\right)^{-1}, \left(α·φ^{t-{π/2}/π}+β-\frac{α}{φ^{1/2}}\right)$

Published on 26 Jan 2020 - 6:17

score 259 · Answer 3 · 2020-01-27 01:49:13

259

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Is $\varphi$ the most irrational number?

Published on 27 Jan 2020 - 1:49

score 485 · Answer 4 · 2020-01-29 01:34:15

485

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Parametric Equations for A 2-D Helix Where The Distance Between Loops are Powers of $φ$ at Multiples of The Golden Angle

Published on 29 Jan 2020 - 1:34

score 93 · Answer 5 · 2020-02-02 01:03:55

93

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The following relation $\frac{a}{b} =\frac{b}{a+b}$ is satisfied for $a = 1.6b$ approximately. How to reach this result?

Published on 02 Feb 2020 - 1:03

score 227 · Answer 6 · 2020-02-03 05:12:56

227

Views

Hyperbolic Helix With Variable Pitch

Published on 03 Feb 2020 - 5:12

score 90 · Answer 7 · 2020-02-08 23:35:22

90

Views

Identifying An Unusual Curve (Parametric)

Published on 08 Feb 2020 - 23:35

score 74 · Answer 8 · 2020-02-09 19:50:48

74

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prove $ 1 < \varphi = \frac{1 + \sqrt{5}}{2} < 2$

Published on 09 Feb 2020 - 19:50

score 51 · Answer 9 · 2020-02-11 04:14:56

51

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Finding A Non-Arbitrary Version of A specific 'Cubic' Curve

Published on 11 Feb 2020 - 4:14

score 3.1k · Answer 10 · 2020-02-18 00:46:26

3.1k

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Golden Angle Golden Spiral

Published on 18 Feb 2020 - 0:46

score 1.6k · Answer 11 · 2020-02-21 23:58:49

1.6k

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Negative solution for continued fraction 1 + 1/(1+(1/...

Published on 21 Feb 2020 - 23:58

score 180 · Answer 12 · 2020-02-25 14:00:47

180

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Approximation of $|\phi^{\pi}-\pi^{\phi}|$

Published on 25 Feb 2020 - 14:00

score 217 · Answer 13 · 2020-03-16 03:17:09

217

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$\sum _{n=0}^{\infty} \frac{1}{(n+1) (n+2)} \left(\frac{1}{\lfloor n \phi \rfloor +2}+\frac{1}{\lfloor n \phi ^{-1} \rfloor +2}\right)$

Published on 16 Mar 2020 - 3:17

score 160 · Answer 14 · 2020-03-17 04:32:19

160

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Verifying a continued fraction related to $\log\varphi$.

Published on 17 Mar 2020 - 4:32

score 105 · Answer 15 · 2020-03-17 10:09:07

105

Views

Comparing $2$ infinite continued fractions

Published on 17 Mar 2020 - 10:09

List Question

A Sine Wave Where Alternate Distances Between 'Wave-center' Points Are Powers of φ

Defining $α$ Via The Golden Angle in $\sin(t)·\left(α·φ^{t-{π/2}/π}+β-\frac{α}{φ^{1/2}}\right)^{-1}, \left(α·φ^{t-{π/2}/π}+β-\frac{α}{φ^{1/2}}\right)$

Is $\varphi$ the most irrational number?

Parametric Equations for A 2-D Helix Where The Distance Between Loops are Powers of $φ$ at Multiples of The Golden Angle

The following relation $\frac{a}{b} =\frac{b}{a+b}$ is satisfied for $a = 1.6b$ approximately. How to reach this result?

Hyperbolic Helix With Variable Pitch

Identifying An Unusual Curve (Parametric)

prove $ 1 < \varphi = \frac{1 + \sqrt{5}}{2} < 2$

Finding A Non-Arbitrary Version of A specific 'Cubic' Curve

Golden Angle Golden Spiral

Negative solution for continued fraction 1 + 1/(1+(1/...

Approximation of $|\phi^{\pi}-\pi^{\phi}|$

$\sum _{n=0}^{\infty} \frac{1}{(n+1) (n+2)} \left(\frac{1}{\lfloor n \phi \rfloor +2}+\frac{1}{\lfloor n \phi ^{-1} \rfloor +2}\right)$

Verifying a continued fraction related to $\log\varphi$.

Comparing $2$ infinite continued fractions

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