# Logarithmic Spirals/Golden Spirals
**URL:** https://discourse.shapr3d.com/t/logarithmic-spirals-golden-spirals/14437
**Category:** Modeling Questions
**Created:** [August 16, 2021, 8:12am UTC](https://discourse.shapr3d.com/t/logarithmic-spirals-golden-spirals/14437 "2021-08-16T08:12:41Z")
**Posts on this page:** 10
**Page:** 1
### Author:  [@sjagneaux](https://discourse.shapr3d.com/u/sjagneaux)
#### Post date: [August 16, 2021, 8:12am UTC](https://discourse.shapr3d.com/t/logarithmic-spirals-golden-spirals/14437/1 "2021-08-16T08:12:41Z")
Does anyone know how to sketch a logarithmic/golden spiral in Shapr3D? I’ve checked the online documentation and searched the forums and cannot find anything. Thoughts?
-s.
Be well. Stay safe.
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### Author:  [@Oregonerd](https://discourse.shapr3d.com/u/Oregonerd)
#### Post date: [August 16, 2021, 3:38pm UTC](https://discourse.shapr3d.com/t/logarithmic-spirals-golden-spirals/14437/2 "2021-08-16T15:38:47Z")
I would think you would need scripting capabilities for that.
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### Author:  [@milouchien](https://discourse.shapr3d.com/u/milouchien)
#### Post date: [August 16, 2021, 5:00pm UTC](https://discourse.shapr3d.com/t/logarithmic-spirals-golden-spirals/14437/3 "2021-08-16T17:00:21Z")
Hi. I use the 90 degree approximation of the “golden spiral” in handrail making.
> **[Golden spiral](https://en.m.wikipedia.org/wiki/Golden_spiral)**
>
> In geometry, a golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio. That is, a golden spiral gets wider (or further from its origin) by a factor of φ for every quarter turn it makes.
> There are several comparable spirals that approximate, but do not exactly equal, a golden spiral.
> For example, a golden spiral can be approximated by first starting with a rectangle for which the ratio between its length and width is the golden ratio. This rectangle can then be partitio...
Most people drawing these use an approximation. But as @Oregonerd says, the genuine version would at least require a formula input of some kind.
There have been a few posts on the subject in the past, but mostly using a 180° approximation.
Let me know if you’re needing help with the 90° version.
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### Author:  [@sjagneaux](https://discourse.shapr3d.com/u/sjagneaux)
#### Post date: [August 16, 2021, 10:20pm UTC](https://discourse.shapr3d.com/t/logarithmic-spirals-golden-spirals/14437/4 "2021-08-16T22:20:34Z")
Guidance for drawing the 90 degree approximation would be incredibly welcome. Thank you!
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### Author:  [@Oregonerd](https://discourse.shapr3d.com/u/Oregonerd)
#### Post date: [August 17, 2021, 3:02am UTC](https://discourse.shapr3d.com/t/logarithmic-spirals-golden-spirals/14437/5 "2021-08-17T03:02:59Z")
> **[How to Draw the Golden Spiral](https://www.wikihow.com/Draw-the-Golden-Spiral)**
>
> Commonly found in nature, the well-known shape of the golden spiral is a unique form but can be sketched nicely using the elements of the Fibonacci sequence. It is fairly simple to draw, and can be quite beautiful when done correctly....
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### Author:  [@Oregonerd](https://discourse.shapr3d.com/u/Oregonerd)
#### Post date: [August 17, 2021, 3:29am UTC](https://discourse.shapr3d.com/t/logarithmic-spirals-golden-spirals/14437/6 "2021-08-17T03:29:48Z")
Start with a box 1 unit (inch, cm, mi, etc). Lock it’s sides and location make a box 1.61 times that next to and lock it also. Repeat that multiple times. Then draw arcs in the appropriate corners of each box whose radius is = to the side of that box….
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### Author:  [@Oregonerd](https://discourse.shapr3d.com/u/Oregonerd)
#### Post date: [August 17, 2021, 3:31am UTC](https://discourse.shapr3d.com/t/logarithmic-spirals-golden-spirals/14437/7 "2021-08-17T03:31:32Z")
1̶.̶6̶1̶ ̶i̶s̶n̶’̶t̶ ̶p̶e̶r̶f̶e̶c̶t̶ ̶b̶u̶t̶ ̶c̶l̶o̶s̶e̶ ̶e̶n̶o̶u̶g̶h̶?̶ ̶Y̶o̶u̶ ̶w̶i̶l̶l̶ ̶n̶o̶t̶i̶c̶e̶ ̶s̶o̶m̶e̶ ̶a̶n̶n̶o̶m̶o̶l̶i̶e̶s̶
Try 1.618 as your multiplier.
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### Author:  [@sjagneaux](https://discourse.shapr3d.com/u/sjagneaux)
#### Post date: [August 20, 2021, 1:35pm UTC](https://discourse.shapr3d.com/t/logarithmic-spirals-golden-spirals/14437/8 "2021-08-20T13:35:57Z")
Thank you for the link and guidance! You all are the best!
-s
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### Author:  [@Oregonerd](https://discourse.shapr3d.com/u/Oregonerd)
#### Post date: [August 20, 2021, 3:02pm UTC](https://discourse.shapr3d.com/t/logarithmic-spirals-golden-spirals/14437/9 "2021-08-20T15:02:50Z")
I think my solution is closer to the Fibonacci, less Golden ratio.
Helping you was a fun rabbit hole for me! 🙂
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### Author:  [@sjagneaux](https://discourse.shapr3d.com/u/sjagneaux)
#### Post date: [September 8, 2021, 9:52pm UTC](https://discourse.shapr3d.com/t/logarithmic-spirals-golden-spirals/14437/10 "2021-09-08T21:52:36Z")
This was quite fun for me as well! Thank you so very much!