$$ t \in [0, (2\lambda + 1)\pi / 2)] $$
$$ x = t (\cos t)^3 $$
$$ y = \omega t \sqrt{|\cos t|} + t (\sin \sigma t) (\cos \phi t) $$
where $\lambda$ is leafiness, $\omega$ is order, $\phi$ is waviness and $\sigma$ is simplicity.
Inspired by this tweet:
Based on example plant_js (where jsplot module is defined).
karax_widgets is a tentative widget api here
Notes:
- changed leafiness to be always odd (i.e. I use leafiness*2+1 in equation)
import nimib
nbInit
nb.useLatex
nbKaraxCode:
import strformat, math, sequtils, sugar, jsplot
from karax_widgets as kw import nil
kw.inputSliderInt(leafiness, minValue=0, maxValue=60, defaultValue=19)
kw.inputSliderInt(order, minValue=0, maxValue=50, defaultValue=20)
kw.inputSliderInt(waviness, minValue=0, maxValue=10, defaultValue=4)
kw.inputSliderFloat(simplicity, defaultValue=0.2)
func plant(leafiness, waviness, order: int, simplicity: float): tuple[x, y: seq[float]] =
let
t = linspace(0.0, float(leafiness*2+1)*Pi*0.5, 1000)
result.x = t.map(t => t*cos(t)^3)
result.y = t.map(t => float(order)*t*sqrt(abs(cos(t))) + t*sin(simplicity*t)*cos(float(waviness)*t))
var
x, y = plant(leafiness, waviness, order, simplicity)
postRender:
let p = plant(leafiness, waviness, order, simplicity)
plot(p.x, p.y)
karaxHtml:
canvas(id="canvas"):
text ""
inputSliderLeafiness()
inputSliderOrder()
inputSliderWaviness()
inputSliderSimplicity()
nbText: """
$$ t \in [0, (2\lambda + 1)\pi / 2)] $$
$$ x = t (\cos t)^3 $$
$$ y = \omega t \sqrt{|\cos t|} + t (\sin \sigma t) (\cos \phi t) $$
where $\lambda$ is leafiness, $\omega$ is order, $\phi$ is waviness and $\sigma$ is simplicity.
"""
nbText:
"""
---
Inspired by this tweet:
"""
nbRawOutput: """<blockquote class="twitter-tweet"><p lang="en" dir="ltr">Play with the parameters of this plot right in your browser with Shiny for Python / ShinyLive. <a href="https://t.co/o1qvAg1KzJ">https://t.co/o1qvAg1KzJ</a><a href="https://twitter.com/hashtag/Python?src=hash&ref_src=twsrc%5Etfw">#Python</a> <a href="https://twitter.com/hashtag/generativeart?src=hash&ref_src=twsrc%5Etfw">#generativeart</a> <a href="https://twitter.com/hashtag/shinylive?src=hash&ref_src=twsrc%5Etfw">#shinylive</a> <a href="https://t.co/6giQ2QoMIe">https://t.co/6giQ2QoMIe</a> <a href="https://t.co/xbIw8vFp1y">pic.twitter.com/xbIw8vFp1y</a></p>— Nick Strayer (@NicholasStrayer) <a href="https://twitter.com/NicholasStrayer/status/1554523619379892225?ref_src=twsrc%5Etfw">August 2, 2022</a></blockquote> <script async src="https://platform.twitter.com/widgets.js" charset="utf-8"></script>"""
nbText:
"""
Based on example [plant_js](./plant_js.html) (where `jsplot` module is defined).
karax_widgets is a tentative widget api [here](./karax_widgets_demo.html)
Notes:
* changed leafiness to be always odd (i.e. I use leafiness*2+1 in equation)
"""
nbSave