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Typeset`size$$ = {256., {242., 247.}}, Typeset`update$$ = 0,
Typeset`initDone$$, Typeset`skipInitDone$$ = True},
DynamicBox[Manipulate`ManipulateBoxes[
1, StandardForm,
"Variables" :> {
XMPTools`Wrappers`Private`\:15e9$$ = 90,
XMPTools`Wrappers`Private`\:042fR$$ = Rational[1, 2],
XMPTools`Wrappers`Private`\:041fW\:041f$$ = 16,
XMPTools`Wrappers`Private`\[CapitalPi]\[CapitalPi]$$ = 8},
"ControllerVariables" :> {},
"OtherVariables" :> {
Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$,
Typeset`animator$$, Typeset`animvar$$, Typeset`name$$,
Typeset`specs$$, Typeset`size$$, Typeset`update$$,
Typeset`initDone$$, Typeset`skipInitDone$$},
"Body" :> (
XMPTools`Wrappers`Private`\:1513\:1515 = {
WorkingPrecision -> XMPTools`Wrappers`Private`\:041fW\:041f$$,
ImageSize -> 256, Axes -> True, MaxRecursion -> 0, PlotPoints ->
1 + 2^XMPTools`Wrappers`Private`\[CapitalPi]\[CapitalPi]$$,
PlotStyle -> Thickness[0.00001], PlotLegends ->
Placed["Expressions", {Center, Top}], PlotRangePadding -> 4/256,
PlotRange -> Full, Frame -> True, Axes -> False,
GridLines -> {{0}, {0}}, PlotStyle -> GrayLevel[168/256],
FrameStyle -> GrayLevel[178/256]};
XMPTools`Wrappers`Private`\:1586\:1587 = {
XMPTools`Wrappers`Private`x,
0, (XMPTools`Wrappers`Private`\:15e9$$/90) Pi};
XMPTools`Wrappers`Private`\:a5f3 = Piecewise[{{
Abs[
XMPTools`Wrappers`Private`FabiusF[((
XMPTools`Wrappers`Private`x/
XMPTools`Wrappers`Private`\:042fR$$)/
Pi) ((360/XMPTools`Wrappers`Private`\:15e9$$)/
4)]], (((XMPTools`Wrappers`Private`\:15e9$$/90) Pi)
XMPTools`Wrappers`Private`\:042fR$$) 0 <
XMPTools`Wrappers`Private`x < ((
XMPTools`Wrappers`Private`\:15e9$$/90) Pi)
XMPTools`Wrappers`Private`\:042fR$$}, {
Abs[
XMPTools`Wrappers`Private`FabiusF[
1 - ((XMPTools`Wrappers`Private`x/
Pi) ((360/XMPTools`Wrappers`Private`\:15e9$$)/4) -
XMPTools`Wrappers`Private`\:042fR$$)/(1 -
XMPTools`Wrappers`Private`\:042fR$$)]], ((
XMPTools`Wrappers`Private`\:15e9$$/90) Pi)
XMPTools`Wrappers`Private`\:042fR$$ <
XMPTools`Wrappers`Private`x < ((
XMPTools`Wrappers`Private`\:15e9$$/90) Pi) 1}}]; Column[{
XMPTools`Wrappers`Private`CurvaturePlot[
Evaluate[
SetPrecision[
SetAccuracy[
XMPTools`Wrappers`Private`\:a5f3,
XMPTools`Wrappers`Private`\:041fW\:041f$$],
XMPTools`Wrappers`Private`\:041fW\:041f$$]],
Evaluate[XMPTools`Wrappers`Private`\:1586\:1587],
Evaluate[XMPTools`Wrappers`Private`\:1513\:1515], FrameTicks -> {
Range[-16, 16, 1/2],
Range[-4, 4, 1/2]}],
Plot[
Evaluate[
SetPrecision[
SetAccuracy[
XMPTools`Wrappers`Private`\:a5f3,
XMPTools`Wrappers`Private`\:041fW\:041f$$],
XMPTools`Wrappers`Private`\:041fW\:041f$$]],
Evaluate[XMPTools`Wrappers`Private`\:1586\:1587],
Evaluate[XMPTools`Wrappers`Private`\:1513\:1515], FrameTicks -> {
Range[(-16) Pi, 16 Pi, Pi/2],
Range[-1, 1, 1/2]}]}]),
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XMPTools`Wrappers`Private`\[CapitalPi]\[CapitalPi]$$, 8}, 0, 16,
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ImageSizeCache->{281., {312., 317.}},
SingleEvaluation->True],
Deinitialization:>None,
DynamicModuleValues:>{},
SynchronousInitialization->True,
UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
UnsavedVariables:>{Typeset`initDone$$},
UntrackedVariables:>{Typeset`size$$}], "Manipulate",
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@ -0,0 +1,35 @@
import plotly.graph_objects as go
import numpy as np
# Define the curvature function
def kappa(x):
return (1-((-((-1)**np.floor(x/np.pi*2)*(np.exp(-1/((x/np.pi*2)-np.floor((x/np.pi*2))))
/(np.exp(-1/((x/np.pi*2)-np.floor((x/np.pi*2))))+np.exp(-1/(1-(x/np.pi*2)+np.floor((x/np.pi*2))))))) +
((-1)**np.floor((x/np.pi*2)/1)*(np.exp(-1/(1-(x/np.pi*2)+np.floor((x/np.pi*2))))/(np.exp(-1/((x/np.pi*2)-
np.floor((x/np.pi*2))))+np.exp(-1/(1-(x/np.pi*2)+np.floor((x/np.pi*2))))))))/2 + .5))
# Generate x values
x_vals = np.linspace(0, 4*np.pi, 1000)
# Compute kappa values
kappa_vals = kappa(x_vals)
# Integrate kappa values to get theta values (angles)
theta_vals = np.cumsum(kappa_vals) * (x_vals[1]-x_vals[0])
# Compute x and y coordinates of the curve
x_coords = np.cumsum(np.cos(theta_vals)) * (x_vals[1]-x_vals[0])
y_coords = np.cumsum(np.sin(theta_vals)) * (x_vals[1]-x_vals[0])
# Create a plot using plotly
fig = go.Figure()
# Add line to the figure for the curve
fig.add_trace(go.Scatter(x=x_coords, y=y_coords, mode='lines', name='Curve'))
# Update layout
fig.update_layout(
autosize=True,
xaxis=dict(scaleanchor='y', scaleratio=1) # this line sets the aspect ratio
)
fig.show()

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𖣠⚪∣❁∣✤✻ЭЄᗩߦറ⚪𔗢⚪🞋⚪𔗢⚪റߦᗩЭЄ✻✤∣❁∣⚪𖣠/𖣠⚪ИNⓄꖴ✤ᑐᑕИNᑎꗳ𖣓ᔓᔕᑎꖴ⚭ᗩꗳ⚪𖡼𖡼𖡼𖡼⚪𔗢⚪🞋⚪𔗢⚪𖡼𖡼𖡼𖡼⚪ꗳᗩ⚭ꖴᑎᔓᔕ𖣓ꗳᑎИNᑐᑕ✤ꖴⓄИN⚪𖣠/𖣠⚪ᗱᗴᴥᑎ✤ᗩᗯᴥᑎᑐᑕ⚪𖡼𖡼𖡼𖡼⚪𔗢⚪🞋⚪𔗢⚪𖡼𖡼𖡼𖡼⚪ᑐᑕᑎᴥᗯᗩ✤ᑎᴥᗱᗴ⚪𖣠/𖣠⚪ᔓᔕᴥᗱᗴИNᴥⓄᑐᑕ𖣓✤옷ᕤᕦꖴᗩᴥ✤ᔓᔕ⚪𖡼𖡼𖡼𖡼⚪𔗢⚪🞋⚪𔗢⚪𖡼𖡼𖡼𖡼⚪ᔓᔕ✤ᴥᗩꖴᕤᕦ옷✤𖣓ᑐᑕⓄᴥИNᗱᗴᴥᔓᔕ⚪𖣠/𖣠⚪✤ИNᗱᗴꖴᗝᗩᴥᕤᕦ⚪𖡼𖡼𖡼𖡼⚪𔗢⚪🞋⚪𔗢⚪𖡼𖡼𖡼𖡼⚪ᕤᕦᴥᗩᗝꖴᗱᗴИN✤⚪𖣠/XHG.⚪✤⚪ИN⚪ᗱᗴ⚪ꖴ⚪ᗝ⚪ᗩ⚪ᴥ⚪ᕤᕦ⚪◯⚪ᔓᔕ⚪ᴥ⚪ᗱᗴ⚪ИN⚪ᴥ⚪Ⓞ⚪ᑐᑕ⚪◯⚪✤⚪옷⚪ᕤᕦ⚪ꖴ⚪ᗩ⚪ᴥ⚪✤⚪ᔓᔕ⚪◯⚪ᗱᗴ⚪ᴥ⚪ᑎ⚪✤⚪ᗩ⚪ᗯ⚪ᴥ⚪ᑎ⚪ᑐᑕ⚪◯⚪ИN⚪Ⓞ⚪ꖴ⚪✤⚪ᑐᑕ⚪ИN⚪ᑎ⚪ꗳ⚪◯⚪ᔓᔕ⚪ᑎ⚪ꖴ⚪⚭⚪ᗩ⚪ꗳ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ꗳ⚪ᗩ⚪⚭⚪ꖴ⚪ᑎ⚪ᔓᔕ⚪◯⚪ꗳ⚪ᑎ⚪ИN⚪ᑐᑕ⚪✤⚪ꖴ⚪Ⓞ⚪ИN⚪◯⚪ᑐᑕ⚪ᑎ⚪ᴥ⚪ᗯ⚪ᗩ⚪✤⚪ᑎ⚪ᴥ⚪ᗱᗴ⚪◯⚪ᔓᔕ⚪✤⚪ᴥ⚪ᗩ⚪ꖴ⚪ᕤᕦ⚪옷⚪✤⚪◯⚪ᑐᑕ⚪Ⓞ⚪ᴥ⚪ИN⚪ᗱᗴ⚪ᴥ⚪ᔓᔕ⚪◯⚪ᕤᕦ⚪ᴥ⚪ᗩ⚪ᗝ⚪ꖴ⚪ᗱᗴ⚪ИN⚪✤⚪.GHX Normal file

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