This example demonstrates how to use Free Surface Mesh Series to create a Simple Polar 3D Chart with Xamarin Bindings in SciChart. Free Surface Series allows you to create all kind of shapes in 3D, including Sphere, Cylinder and Free Custom form.

See more in the documentation:
Create a 3D Chart with Xamarin.Android
Create a 3D Chart with Xamarin.iOS
Polar Chart 3D Type in Android
Polar Chart 3D Type in iOS

// PolarMesh3DChartViewController.cs (Xamarin.iOS)

using System;
using SciChart.iOS.Charting;
using Xamarin.Examples.Demo.Utils;

namespace Xamarin.Examples.Demo.iOS
{
    [Example3DDefinition("Polar Mesh 3D Chart", description: "Create a simple Polar Mesh 3D Chart", icon: ExampleIcon.Surface3D)]
    class PolarMesh3DChartViewController : SingleChartViewController<SCIChartSurface3D>
    {
        protected override void InitExample()
        {
            const int uSize = 30, vSize = 10;
            var dataSeries3D = new PolarDataSeries3D<double, double>(uSize, vSize, 0d, Math.PI * 1.75) { A = 1, B = 5 };

            var random = new Random();
            for (int u = 0; u < uSize; u++)
            {
                var weightU = 1d - Math.Abs(2d * u / uSize - 1d);
                for (int v = 0; v < vSize; v++)
                {
                    var weightV = 1d - Math.Abs(2d * v / vSize - 1d);
                    var offset = random.NextDouble();

                    dataSeries3D.SetDisplacement(u, v, offset * weightU * weightV);
                }
            }

            var rSeries3D = new SCIFreeSurfaceRenderableSeries3D
            {
                DataSeries = dataSeries3D,
                DrawMeshAs = SCIDrawMeshAs.SolidWireframe,
                Stroke = 0x77228B22,
                ContourInterval = 0.1f,
                ContourStroke = 0x77228B22,
                StrokeThickness = 1f,
                MeshColorPalette = new SCIGradientColorPalette(
                    new[] { ColorUtil.Sapphire, ColorUtil.Blue, ColorUtil.Cyan, ColorUtil.GreenYellow, ColorUtil.Yellow, ColorUtil.Red, ColorUtil.DarkRed },
                    new[] { 0, .1f, .3f, .5f, .7f, .9f, 1}),
                PaletteMaximum = new SCIVector3(0, 0.5f, 0),
            };
        
            using (Surface.SuspendUpdates())
            {
                Surface.XAxis = new SCINumericAxis3D { VisibleRange = new SCIDoubleRange(-7, 7) };
                Surface.YAxis = new SCINumericAxis3D { VisibleRange = new SCIDoubleRange(0, 3) };
                Surface.ZAxis = new SCINumericAxis3D { VisibleRange = new SCIDoubleRange(-7, 7) };
                Surface.RenderableSeries.Add(rSeries3D);
                Surface.ChartModifiers.Add(CreateDefault3DModifiers());

                Surface.Camera = new SCICamera3D();
                Surface.Viewport.WorldDimensions = new SCIVector3(200, 50, 200);
            }
        }
    }
}

// CreatePolarMesh3DChartFragment.cs (Xamarin.Android)

using System;
using System.Drawing;
using SciChart.Charting3D.Common.Math;
using SciChart.Charting3D.Model;
using SciChart.Charting3D.Model.DataSeries.FreeSurface;
using SciChart.Charting3D.Modifiers;
using SciChart.Charting3D.Visuals;
using SciChart.Charting3D.Visuals.Axes;
using SciChart.Charting3D.Visuals.Camera;
using SciChart.Charting3D.Visuals.RenderableSeries.Data;
using SciChart.Charting3D.Visuals.RenderableSeries.FreeSurface;
using SciChart.Core.Utility;
using SciChart.Data.Model;
using Xamarin.Examples.Demo.Data;
using Xamarin.Examples.Demo;
using Xamarin.Examples.Demo.Droid.Extensions;
using Xamarin.Examples.Demo.Droid.Fragments.Base;

namespace Xamarin.Examples.Demo.Droid.Fragments.Examples3D
{
    [Example3DDefinition("Simple Polar Mesh 3D Chart", description: "Create a simple Polar Mesh 3D Chart", icon: ExampleIcon.Surface3D)]
    class CreatePolarMesh3DChartFragment : ExampleBaseFragment
    {
        public SciChartSurface3D Surface => View.FindViewById<SciChartSurface3D>(Resource.Id.chart3d);

        public override int ExampleLayoutId => Resource.Layout.Example_Single_3D_Chart_Fragment;

        protected override void InitExample()
        {
            var dataManager = DataManager.Instance;

            const int uSize = 30, vSize = 10;
            var dataSeries3D = new PolarDataSeries3D<double, double>(uSize, vSize, 0d, Math.PI * 1.75)
            {
                A = 1d,
                B = 5d,
            };

            var random = new Random();
            for (int u = 0; u < uSize; u++)
            {
                var weightU = 1d - Math.Abs(2d * u / uSize - 1d);
                for (int v = 0; v < vSize; v++)
                {
                    var weightV = 1d - Math.Abs(2d * v / vSize - 1d);
                    var offset = random.NextDouble();

                    dataSeries3D.SetDisplacement(u, v, offset * weightU * weightV);
                }
            }

            var renderableSeries3D = new FreeSurfaceRenderableSeries3D()
            {
                DataSeries = dataSeries3D,
                DrawMeshAs = DrawMeshAs.SolidWireframe,
                StrokeColor = Color.FromArgb(0x77, 0x22, 0x8B, 0x22),
                ContourInterval = 0.1f,
                ContourStrokeColor = Color.FromArgb(0x77, 0x22, 0x8B, 0x22),
                StrokeThickness = 1f.ToDip(Activity),
                MeshColorPalette = new GradientColorPalette(
                    new Color[] { Color.FromArgb(0xFF, 0x1D, 0x2C, 0x6B), Color.Blue, Color.Cyan, Color.GreenYellow, Color.Yellow, Color.Red, Color.DarkRed },
                    new float[] { 0, .1f, .3f, .5f, .7f, .9f, 1}),
                PaletteMinimum = new Vector3(0, 0, 0),
                PaletteMaximum = new Vector3(0, 0.5f, 0)
            };

            using (Surface.SuspendUpdates())
            {
                Surface.WorldDimensions.Assign(200, 50, 200);

                Surface.XAxis = new NumericAxis3D() { VisibleRange = new DoubleRange(-7, 7) };
                Surface.YAxis = new NumericAxis3D() { VisibleRange = new DoubleRange(0, 3) };
                Surface.ZAxis = new NumericAxis3D() { VisibleRange = new DoubleRange(-7, 7) };

                Surface.Camera = new Camera3D();

                Surface.RenderableSeries.Add(renderableSeries3D);

                Surface.ChartModifiers = new ChartModifier3DCollection
                {
                    new PinchZoomModifier3D(),
                    new OrbitModifier3D(),
                    new ZoomExtentsModifier3D()
                };
            }
        }
    }
}

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