├── .gitignore ├── Assets ├── Materials.meta ├── Materials │ ├── DottedLineMaterial.mat │ ├── DottedLineMaterial.mat.meta │ ├── LineMaterial.mat │ └── LineMaterial.mat.meta ├── Scenes.meta ├── Scenes │ ├── Unity3DCodingMath.unity │ └── Unity3DCodingMath.unity.meta ├── Scripts.meta └── Scripts │ ├── Ellipse.cs │ ├── Ellipse.cs.meta │ ├── LemniscateOfBernoulli.cs │ ├── LemniscateOfBernoulli.cs.meta │ ├── LemniscateOfBooth.cs │ ├── LemniscateOfBooth.cs.meta │ ├── LemniscateOfGerono.cs │ ├── LemniscateOfGerono.cs.meta │ ├── OvalOfBooth.cs │ ├── OvalOfBooth.cs.meta │ ├── SinCosWave.cs │ └── SinCosWave.cs.meta ├── LICENSE ├── ProjectSettings ├── AudioManager.asset ├── ClusterInputManager.asset ├── DynamicsManager.asset ├── EditorBuildSettings.asset ├── EditorSettings.asset ├── GraphicsSettings.asset ├── InputManager.asset ├── NavMeshAreas.asset ├── NetworkManager.asset ├── Physics2DSettings.asset ├── ProjectSettings.asset ├── ProjectVersion.txt ├── QualitySettings.asset ├── TagManager.asset ├── TimeManager.asset ├── UnityAdsSettings.asset └── UnityConnectSettings.asset └── README.md /.gitignore: -------------------------------------------------------------------------------- 1 | /[Ll]ibrary/ 2 | /[Tt]emp/ 3 | /[Oo]bj/ 4 | /[Bb]uild/ 5 | /[Bb]uilds/ 6 | /Assets/AssetStoreTools* 7 | 8 | # Autogenerated VS/MD solution and project files 9 | [Ee]xported[Oo]bj/ 10 | *.csproj 11 | *.unityproj 12 | *.sln* 13 | *.suo 14 | *.tmp 15 | *.user 16 | *.userprefs 17 | *.pidb 18 | *.booproj 19 | *.svd 20 | 21 | # Unity3D generated 22 | ShaderForge.dll 23 | Assets/ShaderForge/ 24 | 25 | # Unity3D generated meta files 26 | *.pidb.meta 27 | 28 | # Unity3D generated file on crash reports 29 | sysinfo.txt 30 | 31 | # Builds 32 | *.apk 33 | *.unitypackage 34 | 35 | # OS generated 36 | .DS_Store* 37 | ._* 38 | .Spotlight-V100 39 | .Trashes 40 | Icon? 41 | ehthumbs.db 42 | [Tt]humbs.db 43 | 44 | /.project -------------------------------------------------------------------------------- /Assets/Materials.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: a1ff31c5e424f644aa6f463fc4e2becd 3 | folderAsset: yes 4 | timeCreated: 1474062135 5 | licenseType: Free 6 | DefaultImporter: 7 | userData: 8 | assetBundleName: 9 | assetBundleVariant: 10 | -------------------------------------------------------------------------------- /Assets/Materials/DottedLineMaterial.mat: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/gabrielgiordan/unity3d-curves/f448896dbb6716f05729f06239614737b4f0e2bc/Assets/Materials/DottedLineMaterial.mat -------------------------------------------------------------------------------- /Assets/Materials/DottedLineMaterial.mat.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: cb8a83a8a1802de42984e5c682bbf793 3 | timeCreated: 1474062152 4 | licenseType: Free 5 | NativeFormatImporter: 6 | userData: 7 | assetBundleName: 8 | assetBundleVariant: 9 | -------------------------------------------------------------------------------- /Assets/Materials/LineMaterial.mat: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/gabrielgiordan/unity3d-curves/f448896dbb6716f05729f06239614737b4f0e2bc/Assets/Materials/LineMaterial.mat -------------------------------------------------------------------------------- /Assets/Materials/LineMaterial.mat.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: a651ac09266e87b44a2cc72d2b890d23 3 | timeCreated: 1474062152 4 | licenseType: Free 5 | NativeFormatImporter: 6 | userData: 7 | assetBundleName: 8 | assetBundleVariant: 9 | -------------------------------------------------------------------------------- /Assets/Scenes.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: bb4e19d0bf0d91d4db3ee6a0e8101038 3 | folderAsset: yes 4 | timeCreated: 1474060764 5 | licenseType: Free 6 | DefaultImporter: 7 | userData: 8 | assetBundleName: 9 | assetBundleVariant: 10 | -------------------------------------------------------------------------------- /Assets/Scenes/Unity3DCodingMath.unity: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/gabrielgiordan/unity3d-curves/f448896dbb6716f05729f06239614737b4f0e2bc/Assets/Scenes/Unity3DCodingMath.unity -------------------------------------------------------------------------------- /Assets/Scenes/Unity3DCodingMath.unity.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: debc7ab3338fbbf44b73ec595b7ee161 3 | timeCreated: 1474060784 4 | licenseType: Free 5 | DefaultImporter: 6 | userData: 7 | assetBundleName: 8 | assetBundleVariant: 9 | -------------------------------------------------------------------------------- /Assets/Scripts.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: 775b4ba9073181f4fbcee250e57e469c 3 | folderAsset: yes 4 | timeCreated: 1474060655 5 | licenseType: Free 6 | DefaultImporter: 7 | userData: 8 | assetBundleName: 9 | assetBundleVariant: 10 | -------------------------------------------------------------------------------- /Assets/Scripts/Ellipse.cs: -------------------------------------------------------------------------------- 1 | using UnityEngine; 2 | using System.Collections; 3 | 4 | [ExecuteInEditMode] 5 | public class Ellipse : MonoBehaviour 6 | { 7 | public LineRenderer ellipseLineRenderer; 8 | public int ellipseVertexCount = 25; 9 | public float ellipseScaleX = 2f; 10 | public float ellipseScaleY = 2f; 11 | public float ellipseRadius = 2f; 12 | 13 | void OnRenderObject() 14 | { 15 | ellipseLineRenderer.SetVertexCount(ellipseVertexCount); 16 | 17 | Vector3[] positions = new Vector3[ellipseVertexCount]; 18 | 19 | float sineWave = Mathf.PI * ellipseRadius; 20 | float angleOffset = sineWave / (ellipseVertexCount - 1); 21 | 22 | for (int i = ellipseVertexCount; i-- > 0;) 23 | { 24 | float angle = angleOffset * i; 25 | float x = Mathf.Sin(angle) * ellipseScaleX; 26 | float y = Mathf.Cos(angle) * ellipseScaleY; 27 | 28 | positions[i] = new Vector3(x, y); 29 | } 30 | 31 | ellipseLineRenderer.SetPositions(positions); 32 | } 33 | } 34 | -------------------------------------------------------------------------------- /Assets/Scripts/Ellipse.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: d943760e1df1bb94aa6cfbf0ab403a9b 3 | timeCreated: 1474133740 4 | licenseType: Free 5 | MonoImporter: 6 | serializedVersion: 2 7 | defaultReferences: [] 8 | executionOrder: 0 9 | icon: {instanceID: 0} 10 | userData: 11 | assetBundleName: 12 | assetBundleVariant: 13 | -------------------------------------------------------------------------------- /Assets/Scripts/LemniscateOfBernoulli.cs: -------------------------------------------------------------------------------- 1 | using UnityEngine; 2 | 3 | [ExecuteInEditMode] 4 | public class LemniscateOfBernoulli : MonoBehaviour 5 | { 6 | 7 | public LineRenderer lineRenderer; 8 | public int lineVertexCount = 25; 9 | public float lineLength = 2f; 10 | public float lineScaleX = 2f; 11 | public float lineScaleY = 2f; 12 | public float lineScaleZ = 2f; 13 | public float frequency = 1f; 14 | 15 | void OnRenderObject() 16 | { 17 | lineRenderer.SetVertexCount(lineVertexCount); 18 | 19 | Vector3[] positions = new Vector3[lineVertexCount]; 20 | 21 | float sineWave = Mathf.PI * lineLength; 22 | float angleOffset = sineWave / (lineVertexCount - 1); 23 | 24 | for (int i = lineVertexCount; i-- > 0;) 25 | { 26 | float angle = angleOffset * i; 27 | float scale = 2 / (3 - Mathf.Cos(2 * (angle + Time.time * frequency))); 28 | float x = scale * Mathf.Cos(angle + Time.time * frequency) * lineScaleX; 29 | float y = scale * Mathf.Sin(2 * (angle + Time.time * frequency)) / 2 * lineScaleY; 30 | float z = Mathf.Cos(angle) * lineScaleZ; 31 | 32 | positions[i] = new Vector3(x, y, z); 33 | } 34 | 35 | lineRenderer.SetPositions(positions); 36 | } 37 | 38 | } 39 | -------------------------------------------------------------------------------- /Assets/Scripts/LemniscateOfBernoulli.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: 138ca21f9533ddc4e9004f70269ab8f8 3 | timeCreated: 1474180300 4 | licenseType: Free 5 | MonoImporter: 6 | serializedVersion: 2 7 | defaultReferences: [] 8 | executionOrder: 0 9 | icon: {instanceID: 0} 10 | userData: 11 | assetBundleName: 12 | assetBundleVariant: 13 | -------------------------------------------------------------------------------- /Assets/Scripts/LemniscateOfBooth.cs: -------------------------------------------------------------------------------- 1 | using UnityEngine; 2 | using System.Collections; 3 | 4 | [ExecuteInEditMode] 5 | public class LemniscateOfBooth : MonoBehaviour 6 | { 7 | 8 | public LineRenderer lineRenderer; 9 | public int lineVertexCount = 25; 10 | public float lineLength = 2f; 11 | public float lineScaleX = 2f; 12 | public float lineScaleY = 2f; 13 | public float lineScaleZ = 2f; 14 | public float frequency = 1f; 15 | public float a = 1.5f; 16 | public float b = 1f; 17 | 18 | void OnRenderObject() 19 | { 20 | lineRenderer.SetVertexCount(lineVertexCount); 21 | 22 | Vector3[] positions = new Vector3[lineVertexCount]; 23 | 24 | float sineWave = Mathf.PI * lineLength; 25 | float angleOffset = sineWave / (lineVertexCount - 1); 26 | 27 | for (int i = lineVertexCount; i-- > 0;) 28 | { 29 | // x = b * (sin(t) / 1 + (a^2/b^2) * cos(t)^2) 30 | // y = a * ((sin(t) * cos(t)) / 1 + (a^2/b^2) * cos(t)^2) 31 | 32 | float angle = angleOffset * i; 33 | float t = angle + Time.time * frequency; 34 | float denominator = 1 + (Mathf.Pow(a, 2f) / Mathf.Pow(b, 2f) * Mathf.Pow(Mathf.Cos(t), 2f)); 35 | float x = b * (Mathf.Sin(t) / denominator); 36 | float y = a * ((Mathf.Sin(t) * Mathf.Cos(t)) / denominator); 37 | float z = 0f; 38 | 39 | positions[i] = new Vector3(x, y, z); 40 | } 41 | 42 | lineRenderer.SetPositions(positions); 43 | } 44 | 45 | } 46 | -------------------------------------------------------------------------------- /Assets/Scripts/LemniscateOfBooth.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: e78c2cd68772f3c4785f7721dec7fc5f 3 | timeCreated: 1474248142 4 | licenseType: Free 5 | MonoImporter: 6 | serializedVersion: 2 7 | defaultReferences: [] 8 | executionOrder: 0 9 | icon: {instanceID: 0} 10 | userData: 11 | assetBundleName: 12 | assetBundleVariant: 13 | -------------------------------------------------------------------------------- /Assets/Scripts/LemniscateOfGerono.cs: -------------------------------------------------------------------------------- 1 | using UnityEngine; 2 | using System.Collections; 3 | 4 | [ExecuteInEditMode] 5 | public class LemniscateOfGerono : MonoBehaviour { 6 | 7 | public LineRenderer lineRenderer; 8 | public int lineVertexCount = 25; 9 | public float lineLength = 2f; 10 | public float lineScaleX = 2f; 11 | public float lineScaleY = 2f; 12 | public float lineScaleZ = 2f; 13 | public float frequency = 1f; 14 | 15 | void OnRenderObject() 16 | { 17 | lineRenderer.SetVertexCount(lineVertexCount); 18 | 19 | Vector3[] positions = new Vector3[lineVertexCount]; 20 | 21 | float sineWave = Mathf.PI * lineLength; 22 | float angleOffset = sineWave / (lineVertexCount - 1); 23 | 24 | for (int i = lineVertexCount; i-- > 0;) 25 | { 26 | float angle = angleOffset * i; 27 | float x = Mathf.Cos(angle + Time.time * frequency) * lineScaleX; 28 | float y = (Mathf.Sin(2 * (angle + Time.time * frequency)) / 2) * lineScaleY; 29 | float z = Mathf.Cos(angle) * lineScaleZ; 30 | 31 | positions[i] = new Vector3(x, y, z); 32 | } 33 | 34 | lineRenderer.SetPositions(positions); 35 | } 36 | 37 | } 38 | -------------------------------------------------------------------------------- /Assets/Scripts/LemniscateOfGerono.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: af2ed6d3bf79bac4b9f3d07e9678e98b 3 | timeCreated: 1474167362 4 | licenseType: Free 5 | MonoImporter: 6 | serializedVersion: 2 7 | defaultReferences: [] 8 | executionOrder: 0 9 | icon: {instanceID: 0} 10 | userData: 11 | assetBundleName: 12 | assetBundleVariant: 13 | -------------------------------------------------------------------------------- /Assets/Scripts/OvalOfBooth.cs: -------------------------------------------------------------------------------- 1 | using UnityEngine; 2 | using System.Collections; 3 | 4 | [ExecuteInEditMode] 5 | public class OvalOfBooth : MonoBehaviour 6 | { 7 | 8 | public LineRenderer lineRenderer; 9 | public int lineVertexCount = 25; 10 | public float lineLength = 2f; 11 | public float lineScaleX = 2f; 12 | public float lineScaleY = 2f; 13 | public float lineScaleZ = 2f; 14 | public float frequency = 1f; 15 | public float a = 1.5f; 16 | public float b = 1f; 17 | 18 | void OnRenderObject() 19 | { 20 | lineRenderer.SetVertexCount(lineVertexCount); 21 | 22 | Vector3[] positions = new Vector3[lineVertexCount]; 23 | 24 | float sineWave = Mathf.PI * lineLength; 25 | float angleOffset = sineWave / (lineVertexCount - 1); 26 | 27 | for (int i = lineVertexCount; i-- > 0;) 28 | { 29 | // x = b * ((a * b * cos(t)) / (b^2 * cos(t)^2 + a^2 * sin(t)^2)) 30 | // y = a * ((a * b * sin(t)) / (b^2 * cos(t)^2 + a^2 * sin(t)^2)) 31 | 32 | float angle = angleOffset * i; 33 | float t = angle + Time.time * frequency; 34 | float denominator = Mathf.Pow(b, 2f) * Mathf.Pow(Mathf.Cos(t), 2f) + Mathf.Pow(a, 2f) * Mathf.Pow(Mathf.Sin(t), 2f); 35 | float x = b * ((a * b * Mathf.Cos(t)) / denominator); 36 | float y = a * ((a * b * Mathf.Sin(t)) / denominator); 37 | float z = 0f; 38 | 39 | positions[i] = new Vector3(x, y, z); 40 | } 41 | 42 | lineRenderer.SetPositions(positions); 43 | } 44 | 45 | } 46 | -------------------------------------------------------------------------------- /Assets/Scripts/OvalOfBooth.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: 930d67743babc6f4a8c4b6d348e93b52 3 | timeCreated: 1474248142 4 | licenseType: Free 5 | MonoImporter: 6 | serializedVersion: 2 7 | defaultReferences: [] 8 | executionOrder: 0 9 | icon: {instanceID: 0} 10 | userData: 11 | assetBundleName: 12 | assetBundleVariant: 13 | -------------------------------------------------------------------------------- /Assets/Scripts/SinCosWave.cs: -------------------------------------------------------------------------------- 1 | using UnityEngine; 2 | using System.Collections; 3 | 4 | [ExecuteInEditMode] 5 | public class SinCosWave : MonoBehaviour 6 | { 7 | public LineRenderer lineRenderer; 8 | public int lineVertexCount = 25; 9 | public float lineLength = 2f; 10 | public float lineScaleX = 2f; 11 | public float lineScaleY = 2f; 12 | public float lineScaleZ = 2f; 13 | public float frequency = 1f; // TODO: Smooth frequency when change its value 14 | 15 | void OnRenderObject() 16 | { 17 | lineRenderer.SetVertexCount(lineVertexCount); 18 | 19 | Vector3[] positions = new Vector3[lineVertexCount]; 20 | 21 | float sineWave = Mathf.PI * lineLength; 22 | float angleOffset = sineWave / (lineVertexCount - 1); 23 | 24 | for (int i = lineVertexCount; i-- > 0;) 25 | { 26 | float angle = angleOffset * i; 27 | float x = angle * lineScaleX; 28 | float y = Mathf.Sin(angle + Time.time * frequency) * lineScaleY; 29 | float z = Mathf.Cos(angle + Time.time * frequency) * lineScaleZ; 30 | 31 | positions[i] = new Vector3(x, y, z); 32 | } 33 | 34 | lineRenderer.SetPositions(positions); 35 | } 36 | 37 | } 38 | -------------------------------------------------------------------------------- /Assets/Scripts/SinCosWave.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: fae3bf6de335eb14b97304e5b9a998d0 3 | timeCreated: 1474060830 4 | licenseType: Free 5 | MonoImporter: 6 | serializedVersion: 2 7 | defaultReferences: [] 8 | executionOrder: 0 9 | icon: {instanceID: 0} 10 | userData: 11 | assetBundleName: 12 | assetBundleVariant: 13 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | Apache License 2 | Version 2.0, January 2004 3 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-------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # Unity3D Curves 2 | 2D curves, 3D curves, surfaces and fractals. 3 | 4 | ###### Hypocycloid 5 | 6 | ![hypocycloid](https://cloud.githubusercontent.com/assets/5347035/18638336/1b4348d2-7e66-11e6-88a3-dc926c97f0c8.gif) 7 | 8 | 9 | ###### Epicycloid 10 | 11 | ![epicycloid](https://cloud.githubusercontent.com/assets/5347035/18638339/1ddb0076-7e66-11e6-92fa-bc861380bcf7.gif) 12 | 13 | 14 | ###### Lissajous Curve 15 | 16 | ![lissajouscurve](https://cloud.githubusercontent.com/assets/5347035/18642293/851f458e-7e76-11e6-9d73-f0a6aee9dd4c.gif) 17 | 18 | 19 | ###### Sine Wave 20 | 21 | ![sinwave](https://cloud.githubusercontent.com/assets/5347035/18618758/7b3bb006-7dc3-11e6-92a0-74155221e578.gif) 22 | 23 | 24 | ###### Lemniscate of Gerono 25 | 26 | ![lemniscateofgerono](https://cloud.githubusercontent.com/assets/5347035/18618762/83324536-7dc3-11e6-9f86-fe7d5afdb900.gif) 27 | 28 | 29 | ###### Lemniscate of Bernoulli 30 | 31 | ![lemniscateofbernoulli](https://cloud.githubusercontent.com/assets/5347035/18618760/7f80469a-7dc3-11e6-820b-83b1c8a3245d.gif) 32 | 33 | 34 | ###### Lemniscate of Booth 35 | 36 | ![lemniscateofbooth](https://cloud.githubusercontent.com/assets/5347035/18621529/18ff9cc6-7dfb-11e6-9c5f-8c01acf89a04.gif) 37 | 38 | 39 | ###### Oval of Booth 40 | 41 | ![ovalofbooth](https://cloud.githubusercontent.com/assets/5347035/18621533/1daa2052-7dfb-11e6-821d-3f14246d500b.gif) 42 | 43 | 44 | ###### Basin 2D 45 | 46 | ![basin2d](https://cloud.githubusercontent.com/assets/5347035/18642329/a4712b96-7e76-11e6-8514-40adc1c2954f.gif) 47 | 48 | What's available for now: 49 | 50 | 2D Curves 51 | * Astroid 52 | * Basin 2D 53 | * Bifolium 54 | * Cardioid 55 | * Circle Involute 56 | * Conchoid of Nicomedes 57 | * Cycloid 58 | * Deltoid 59 | * Diokles Cissoid 60 | * Epicycloid 61 | * Hearth 62 | * Hyperbola 63 | * Hypocycloid 64 | * Kiss Curve 65 | * Lemniscate of Bernoulli 66 | * Lemniscate of Booth 67 | * Lemniscate of Gerono 68 | * Lissajous Curve 69 | * Nephroid 70 | * Newtons Strophoid 71 | * Oval of Booth 72 | * Parabola 73 | * Quatrefoil Curve 74 | * Simple Folium 75 | * Sin Curve 76 | * Trisectrix of Maclaurin 77 | --------------------------------------------------------------------------------