3D Mesh plots

BinderScriptNotebook

Summary: This example shows how to create 3D-StreamTube charts in F#.

let's first create some data for the purpose of creating example charts:

#r "nuget: Deedle"
#r "nuget: FSharp.Data"
open Deedle
open FSharp.Data
open System
open Plotly.NET 
open Plotly.NET.TraceObjects

let tubeData =
    Http.RequestString @"https://raw.githubusercontent.com/plotly/datasets/master/streamtube-wind.csv"
    |> Frame.ReadCsvString

let streamTube = 
    Chart.StreamTube(
        x = (tubeData.["x"] |> Series.values),
        y = (tubeData.["y"] |> Series.values),
        z = (tubeData.["z"] |> Series.values),
        u = (tubeData.["u"] |> Series.values),
        v = (tubeData.["v"] |> Series.values),
        w = (tubeData.["w"] |> Series.values),
        Starts = 
            StreamTubeStarts.init(
                X = Array.init 16 (fun _ -> 80),
                Y = [20;30;40;50;20;30;40;50;20;30;40;50;20;30;40;50],
                Z = [0;0;0;0;5;5;5;5;10;10;10;10;15;15;15;15]
            ),
        ColorScale = StyleParam.Colorscale.Viridis
    )

    
namespace Deedle
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namespace FSharp

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namespace Microsoft.FSharp
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namespace FSharp.Data

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namespace Microsoft.FSharp.Data
namespace System
namespace Plotly
namespace Plotly.NET
namespace Plotly.NET.TraceObjects
val tubeData : Frame<int,string>
type Http = private new : unit -> Http static member private AppendQueryToUrl : url:string * query:(string * string) list -> string static member AsyncRequest : url:string * ?query:(string * string) list * ?headers:seq<string * string> * ?httpMethod:string * ?body:HttpRequestBody * ?cookies:seq<string * string> * ?cookieContainer:CookieContainer * ?silentHttpErrors:bool * ?silentCookieErrors:bool * ?responseEncodingOverride:string * ?customizeHttpRequest:(HttpWebRequest -> HttpWebRequest) * ?timeout:int -> Async<HttpResponse> static member AsyncRequestStream : url:string * ?query:(string * string) list * ?headers:seq<string * string> * ?httpMethod:string * ?body:HttpRequestBody * ?cookies:seq<string * string> * ?cookieContainer:CookieContainer * ?silentHttpErrors:bool * ?silentCookieErrors:bool * ?customizeHttpRequest:(HttpWebRequest -> HttpWebRequest) * ?timeout:int -> Async<HttpResponseWithStream> static member AsyncRequestString : url:string * ?query:(string * string) list * ?headers:seq<string * string> * ?httpMethod:string * ?body:HttpRequestBody * ?cookies:seq<string * string> * ?cookieContainer:CookieContainer * ?silentHttpErrors:bool * ?silentCookieErrors:bool * ?responseEncodingOverride:string * ?customizeHttpRequest:(HttpWebRequest -> HttpWebRequest) * ?timeout:int -> Async<string> static member private EncodeFormData : query:string -> string static member private InnerRequest : url:string * toHttpResponse:(string -> int -> string -> string -> 'a0 option -> Map<string,string> -> Map<string,string> -> Stream -> Async<'a1>) * ?query:(string * string) list * ?headers:seq<string * string> * ?httpMethod:string * ?body:HttpRequestBody * ?cookies:seq<string * string> * ?cookieContainer:CookieContainer * ?silentHttpErrors:bool * ?silentCookieErrors:bool * ?responseEncodingOverride:'a0 * ?customizeHttpRequest:(HttpWebRequest -> HttpWebRequest) * ?timeout:int -> Async<'a1> static member Request : url:string * ?query:(string * string) list * ?headers:seq<string * string> * ?httpMethod:string * ?body:HttpRequestBody * ?cookies:seq<string * string> * ?cookieContainer:CookieContainer * ?silentHttpErrors:bool * ?silentCookieErrors:bool * ?responseEncodingOverride:string * ?customizeHttpRequest:(HttpWebRequest -> HttpWebRequest) * ?timeout:int -> HttpResponse static member RequestStream : url:string * ?query:(string * string) list * ?headers:seq<string * string> * ?httpMethod:string * ?body:HttpRequestBody * ?cookies:seq<string * string> * ?cookieContainer:CookieContainer * ?silentHttpErrors:bool * ?silentCookieErrors:bool * ?customizeHttpRequest:(HttpWebRequest -> HttpWebRequest) * ?timeout:int -> HttpResponseWithStream static member RequestString : url:string * ?query:(string * string) list * ?headers:seq<string * string> * ?httpMethod:string * ?body:HttpRequestBody * ?cookies:seq<string * string> * ?cookieContainer:CookieContainer * ?silentHttpErrors:bool * ?silentCookieErrors:bool * ?responseEncodingOverride:string * ?customizeHttpRequest:(HttpWebRequest -> HttpWebRequest) * ?timeout:int -> string
<summary> Utilities for working with network via HTTP. Includes methods for downloading resources with specified headers, query parameters and HTTP body </summary>
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static member Http.RequestString : url:string * ?query:(string * string) list * ?headers:seq<string * string> * ?httpMethod:string * ?body:HttpRequestBody * ?cookies:seq<string * string> * ?cookieContainer:Net.CookieContainer * ?silentHttpErrors:bool * ?silentCookieErrors:bool * ?responseEncodingOverride:string * ?customizeHttpRequest:(Net.HttpWebRequest -> Net.HttpWebRequest) * ?timeout:int -> string

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static member Http.RequestString : url:string * ?query:(string * string) list * ?headers:seq<string * string> * ?httpMethod:string * ?body:HttpRequestBody * ?cookies:seq<string * string> * ?cookieContainer:Net.CookieContainer * ?silentHttpErrors:bool * ?silentCookieErrors:bool * ?responseEncodingOverride:string * ?customizeHttpRequest:(Net.HttpWebRequest -> Net.HttpWebRequest) * ?timeout:int -> string
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module Frame from Deedle

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type Frame = inherit DynamicObj new : unit -> Frame

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type Frame<'TRowKey,'TColumnKey (requires equality and equality)> = interface IDynamicMetaObjectProvider interface INotifyCollectionChanged interface IFsiFormattable interface IFrame new : rowIndex:IIndex<'TRowKey> * columnIndex:IIndex<'TColumnKey> * data:IVector<IVector> * indexBuilder:IIndexBuilder * vectorBuilder:IVectorBuilder -> Frame<'TRowKey,'TColumnKey> + 1 overload member AddColumn : column:'TColumnKey * series:seq<'V> -> unit + 3 overloads member AggregateRowsBy : groupBy:seq<'TColumnKey> * aggBy:seq<'TColumnKey> * aggFunc:Func<Series<'TRowKey,'a>,'b> -> Frame<int,'TColumnKey> member Clone : unit -> Frame<'TRowKey,'TColumnKey> member ColumnApply : f:Func<Series<'TRowKey,'T>,ISeries<'TRowKey>> -> Frame<'TRowKey,'TColumnKey> + 1 overload member DropColumn : column:'TColumnKey -> unit ...

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new : unit -> Frame

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new : names:seq<'TColumnKey> * columns:seq<ISeries<'TRowKey>> -> Frame<'TRowKey,'TColumnKey>
new : rowIndex:Indices.IIndex<'TRowKey> * columnIndex:Indices.IIndex<'TColumnKey> * data:IVector<IVector> * indexBuilder:Indices.IIndexBuilder * vectorBuilder:Vectors.IVectorBuilder -> Frame<'TRowKey,'TColumnKey>
static member Frame.ReadCsvString : csvString:string * ?hasHeaders:bool * ?inferTypes:bool * ?inferRows:int * ?schema:string * ?separators:string * ?culture:string * ?maxRows:int * ?missingValues:string [] * ?preferOptions:bool -> Frame<int,string>
val streamTube : GenericChart.GenericChart
type Chart = static member Area : x:seq<#IConvertible> * y:seq<#IConvertible> * ?Name:string * ?ShowMarkers:bool * ?ShowLegend:bool * ?MarkerSymbol:MarkerSymbol * ?Color:Color * ?Opacity:float * ?Labels:seq<#IConvertible> * ?TextPosition:TextPosition * ?TextFont:Font * ?Dash:DrawingStyle * ?Width:float -> GenericChart + 1 overload static member Bar : values:seq<#IConvertible> * ?Keys:seq<#IConvertible> * ?Name:string * ?ShowLegend:bool * ?Color:Color * ?PatternShape:PatternShape * ?MultiPatternShape:seq<PatternShape> * ?Pattern:Pattern * ?Base:#IConvertible * ?Width:'a3 * ?MultiWidth:seq<'a3> * ?Opacity:float * ?MultiOpacity:seq<float> * ?Text:'a4 * ?MultiText:seq<'a4> * ?TextPosition:TextPosition * ?MultiTextPosition:seq<TextPosition> * ?TextFont:Font * ?Marker:Marker -> GenericChart (requires 'a3 :> IConvertible and 'a4 :> IConvertible) + 1 overload static member BoxPlot : ?x:'a0 * ?y:'a1 * ?Name:string * ?ShowLegend:bool * ?Color:Color * ?Fillcolor:Color * ?Opacity:float * ?Whiskerwidth:'a2 * ?Boxpoints:Boxpoints * ?Boxmean:BoxMean * ?Jitter:'a3 * ?Pointpos:'a4 * ?Orientation:Orientation * ?Marker:Marker * ?Line:Line * ?Alignmentgroup:'a5 * ?Offsetgroup:'a6 * ?Notched:bool * ?NotchWidth:float * ?QuartileMethod:QuartileMethod -> GenericChart + 1 overload static member Bubble : x:seq<#IConvertible> * y:seq<#IConvertible> * sizes:seq<int> * ?Name:string * ?ShowLegend:bool * ?MarkerSymbol:MarkerSymbol * ?Color:Color * ?Opacity:float * ?Labels:seq<#IConvertible> * ?TextPosition:TextPosition * ?TextFont:Font * ?StackGroup:string * ?Orientation:Orientation * ?GroupNorm:GroupNorm * ?UseWebGL:bool -> GenericChart + 1 overload static member Candlestick : open:seq<#IConvertible> * high:seq<#IConvertible> * low:seq<#IConvertible> * close:seq<#IConvertible> * x:seq<#IConvertible> * ?Increasing:Line * ?Decreasing:Line * ?WhiskerWidth:float * ?Line:Line * ?XCalendar:Calendar -> GenericChart + 1 overload static member Column : values:seq<#IConvertible> * ?Keys:seq<#IConvertible> * ?Name:string * ?ShowLegend:bool * ?Color:Color * ?Pattern:Pattern * ?PatternShape:PatternShape * ?MultiPatternShape:seq<PatternShape> * ?Base:#IConvertible * ?Width:'a3 * ?MultiWidth:seq<'a3> * ?Opacity:float * ?MultiOpacity:seq<float> * ?Text:'a4 * ?MultiText:seq<'a4> * ?TextPosition:TextPosition * ?MultiTextPosition:seq<TextPosition> * ?TextFont:Font * ?Marker:Marker -> GenericChart (requires 'a3 :> IConvertible and 'a4 :> IConvertible) + 1 overload static member Contour : data:seq<#seq<'a1>> * ?X:seq<#IConvertible> * ?Y:seq<#IConvertible> * ?Name:string * ?ShowLegend:bool * ?Opacity:float * ?Colorscale:Colorscale * ?Showscale:'a4 * ?zSmooth:SmoothAlg * ?ColorBar:'a5 -> GenericChart (requires 'a1 :> IConvertible) static member Funnel : x:seq<#IConvertible> * y:seq<#IConvertible> * ?Name:string * ?ShowLegend:bool * ?Opacity:float * ?Labels:seq<#IConvertible> * ?TextPosition:TextPosition * ?TextFont:Font * ?Color:Color * ?Line:Line * ?x0:'a3 * ?dX:float * ?y0:'a4 * ?dY:float * ?Width:float * ?Offset:float * ?Orientation:Orientation * ?Alignmentgroup:string * ?Offsetgroup:string * ?Cliponaxis:bool * ?Connector:FunnelConnector * ?Insidetextfont:Font * ?Outsidetextfont:Font -> GenericChart static member Heatmap : data:seq<#seq<'a1>> * ?ColNames:seq<#IConvertible> * ?RowNames:seq<#IConvertible> * ?Name:string * ?ShowLegend:bool * ?Opacity:float * ?Colorscale:Colorscale * ?Showscale:'a4 * ?Xgap:'a5 * ?Ygap:'a6 * ?zSmooth:SmoothAlg * ?ColorBar:'a7 * ?UseWebGL:bool -> GenericChart (requires 'a1 :> IConvertible) static member Histogram : data:seq<#IConvertible> * ?Orientation:Orientation * ?Name:string * ?ShowLegend:bool * ?Opacity:float * ?Color:Color * ?HistNorm:HistNorm * ?HistFunc:HistFunc * ?nBinsx:int * ?nBinsy:int * ?Xbins:Bins * ?Ybins:Bins * ?xError:'a1 * ?yError:'a2 -> GenericChart ...
static member Chart.StreamTube : streamTubeXYZ:seq<#IConvertible * #IConvertible * #IConvertible> * streamTubeUVW:seq<#IConvertible * #IConvertible * #IConvertible> * ?Name:string * ?ShowLegend:bool * ?Opacity:float * ?ColorScale:StyleParam.Colorscale * ?ShowScale:bool * ?ColorBar:LayoutObjects.ColorBar * ?MaxDisplayed:int * ?Starts:StreamTubeStarts -> GenericChart.GenericChart
static member Chart.StreamTube : x:seq<#IConvertible> * y:seq<#IConvertible> * z:seq<#IConvertible> * u:seq<#IConvertible> * v:seq<#IConvertible> * w:seq<#IConvertible> * ?Name:string * ?ShowLegend:bool * ?Opacity:float * ?ColorScale:StyleParam.Colorscale * ?ShowScale:bool * ?ColorBar:LayoutObjects.ColorBar * ?MaxDisplayed:int * ?Starts:StreamTubeStarts -> GenericChart.GenericChart
argument x: seq<float>
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module Series from Deedle

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type Series = static member ofNullables : values:seq<Nullable<'a0>> -> Series<int,'a0> (requires default constructor and value type and 'a0 :> ValueType) static member ofObservations : observations:seq<'c * 'd> -> Series<'c,'d> (requires equality) static member ofOptionalObservations : observations:seq<'K * 'a1 option> -> Series<'K,'a1> (requires equality) static member ofValues : values:seq<'a> -> Series<int,'a>

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type Series<'K,'V (requires equality)> = interface IFsiFormattable interface ISeries<'K> new : index:IIndex<'K> * vector:IVector<'V> * vectorBuilder:IVectorBuilder * indexBuilder:IIndexBuilder -> Series<'K,'V> + 3 overloads member After : lowerExclusive:'K -> Series<'K,'V> member Aggregate : aggregation:Aggregation<'K> * keySelector:Func<DataSegment<Series<'K,'V>>,'TNewKey> * valueSelector:Func<DataSegment<Series<'K,'V>>,OptionalValue<'R>> -> Series<'TNewKey,'R> (requires equality) + 1 overload member AsyncMaterialize : unit -> Async<Series<'K,'V>> member Before : upperExclusive:'K -> Series<'K,'V> member Between : lowerInclusive:'K * upperInclusive:'K -> Series<'K,'V> member Compare : another:Series<'K,'V> -> Series<'K,Diff<'V>> member Convert : forward:Func<'V,'R> * backward:Func<'R,'V> -> Series<'K,'R> ...

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new : pairs:seq<Collections.Generic.KeyValuePair<'K,'V>> -> Series<'K,'V>
new : keys:seq<'K> * values:seq<'V> -> Series<'K,'V>
new : keys:'K [] * values:'V [] -> Series<'K,'V>
new : index:Indices.IIndex<'K> * vector:IVector<'V> * vectorBuilder:Vectors.IVectorBuilder * indexBuilder:Indices.IIndexBuilder -> Series<'K,'V>
val values : series:Series<'K,'T> -> seq<'T> (requires equality)
argument y: seq<float>
argument z: seq<float>
argument u: seq<float>
argument v: seq<float>
argument w: seq<float>
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type StreamTubeStarts = inherit DynamicObj new : unit -> StreamTubeStarts static member init : ?X:seq<#IConvertible> * ?Y:seq<#IConvertible> * ?Z:seq<#IConvertible> -> StreamTubeStarts static member style : ?X:seq<#IConvertible> * ?Y:seq<#IConvertible> * ?Z:seq<#IConvertible> -> (StreamTubeStarts -> StreamTubeStarts)
<summary> An object to set the Lighting of a 3D Scene </summary>

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new : unit -> StreamTubeStarts
static member StreamTubeStarts.init : ?X:seq<#IConvertible> * ?Y:seq<#IConvertible> * ?Z:seq<#IConvertible> -> StreamTubeStarts
argument X: seq<int> option
<summary> Initializes a TubeStarts object </summary>
<param name="X">Sets the x components of the starting position of the streamtubes</param>
<param name="Y">Sets the y components of the starting position of the streamtubes</param>
<param name="Z">Sets the z components of the starting position of the streamtubes</param>
type Array = interface ICollection interface IEnumerable interface IList interface IStructuralComparable interface IStructuralEquatable interface ICloneable new : unit -> unit member Clone : unit -> obj member CopyTo : array: Array * index: int -> unit + 1 overload member GetEnumerator : unit -> IEnumerator ...
<summary>Provides methods for creating, manipulating, searching, and sorting arrays, thereby serving as the base class for all arrays in the common language runtime.</summary>
val init : count:int -> initializer:(int -> 'T) -> 'T []
<summary>Creates an array given the dimension and a generator function to compute the elements.</summary>
<param name="count">The number of elements to initialize.</param>
<param name="initializer">The function to generate the initial values for each index.</param>
<returns>The created array.</returns>
<exception cref="T:System.ArgumentException">Thrown when count is negative.</exception>
argument Y: seq<int> option
<summary> Initializes a TubeStarts object </summary>
<param name="X">Sets the x components of the starting position of the streamtubes</param>
<param name="Y">Sets the y components of the starting position of the streamtubes</param>
<param name="Z">Sets the z components of the starting position of the streamtubes</param>
argument Z: seq<int> option
<summary> Initializes a TubeStarts object </summary>
<param name="X">Sets the x components of the starting position of the streamtubes</param>
<param name="Y">Sets the y components of the starting position of the streamtubes</param>
<param name="Z">Sets the z components of the starting position of the streamtubes</param>
module StyleParam from Plotly.NET
type Colorscale = | Custom of seq<float * string> | RdBu | Earth | Blackbody | YIOrRd | YIGnBu | Bluered | Portland | Electric | Jet ... member Convert : unit -> obj static member convert : (Colorscale -> obj)
<summary> The colorscale must be a collection containing a mapping of a normalized value (between 0.0 and 1.0) to it's color. At minimum, a mapping for the lowest (0.0) and highest (1.0) values are required. </summary>
union case StyleParam.Colorscale.Viridis: StyleParam.Colorscale
module GenericChart from Plotly.NET
<summary> Module to represent a GenericChart </summary>
val toChartHTML : gChart:GenericChart.GenericChart -> string
<summary> Converts a GenericChart to it HTML representation. The div layer has a default size of 600 if not specified otherwise. </summary>