Torus – ページ 20 – プログラミング de 落描き

2021年9月18日

Random walk with barrier. Draw by openFrameworks

[ Video ]

[ About ]
トーラスの中を進むランダムウォーク。
座標の近い面を描写する。

A random walk through the torus.
Describes a surface with close coordinates.

[ Source ]

#pragma once
#include "ofMain.h"

class ofApp : public ofBaseApp {

public:
	void setup();
	void update();
	void draw();

	void keyPressed(int key) {};
	void keyReleased(int key) {};
	void mouseMoved(int x, int y) {};
	void mouseDragged(int x, int y, int button) {};
	void mousePressed(int x, int y, int button) {};
	void mouseReleased(int x, int y, int button) {};
	void mouseEntered(int x, int y) {};
	void mouseExited(int x, int y) {};
	void windowResized(int w, int h) {};
	void dragEvent(ofDragInfo dragInfo) {};
	void gotMessage(ofMessage msg) {};

	glm::vec3 make_point(float R, float r, float u, float v);

	ofEasyCam cam;
	ofMesh face, frame;

	vector<vector<glm::vec3>> walker_log_list;
	vector<ofColor> walker_color_list;
};

#pragma once

#include "ofMain.h"

class ofApp : public ofBaseApp {

public:

void setup();

void update();

void draw();

void keyPressed(int key) {};

void keyReleased(int key) {};

void mouseMoved(int x, int y) {};

void mouseDragged(int x, int y, int button) {};

void mousePressed(int x, int y, int button) {};

void mouseReleased(int x, int y, int button) {};

void mouseEntered(int x, int y) {};

void mouseExited(int x, int y) {};

void windowResized(int w, int h) {};

void dragEvent(ofDragInfo dragInfo) {};

void gotMessage(ofMessage msg) {};

glm::vec3 make_point(float R, float r, float u, float v);

ofEasyCam cam;

ofMesh face, frame;

vector<vector<glm::vec3>> walker_log_list;

vector<ofColor> walker_color_list;

};

#include "ofApp.h"	

//--------------------------------------------------------------
void ofApp::setup() {

	ofSetFrameRate(60);
	ofSetWindowTitle("openFrameworks");

	ofBackground(0);
	ofSetLineWidth(1.5);
	ofEnableDepthTest();

	this->frame.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);
}

//--------------------------------------------------------------
void ofApp::update() {

	ofSeedRandom(39);

	this->face.clear();
	this->frame.clear();

	vector<ofColor> color_list;
	ofColor color;
	vector<int> hex_list = { 0xff0000, 0xffed00, 0xff0092, 0xc2ff00, 0x00c7f2, 0xc1f1fc, 0xebffac, 0xffc2e5 };
	for (auto hex : hex_list) {

		color.setHex(hex);
		color_list.push_back(color);
	}

	float R = 300;
	float r = 100;
	int v_span = 10;
	int u_span = 10;

	this->walker_log_list.clear();
	this->walker_color_list.clear();
	for (int i = 0; i < 15; i++) {

		vector<glm::vec3> walker_location_list;
		auto noise_param = glm::vec3(ofRandom(1000), ofRandom(1000), ofRandom(1000));
		auto step_u = ofRandom(1, 1.5);
		auto step_v = ofRandom(1, 1.5);
		for (int k = 0; k < 40; k++) {

			auto tmp_r = ofMap(ofNoise(noise_param.x, (ofGetFrameNum() * 0.01 + k) * 0.005), 0, 1, 80, 96);
			auto tmp_u = noise_param.y + (ofGetFrameNum() + k) * step_u;
			auto tmp_v = noise_param.z + (ofGetFrameNum() + k) * step_v;

			walker_location_list.push_back(this->make_point(R, tmp_r, tmp_u, tmp_v));
		}

		this->walker_log_list.push_back(walker_location_list);
		this->walker_color_list.push_back(color_list[(int)ofRandom(color_list.size())]);

	}

	for (int v = 0; v < 360; v += v_span) {

		for (auto u = 0; u < 360; u += u_span) {

			auto location = this->make_point(R, r, u, v);
			auto flag = false;
			for (auto& walker_log : this->walker_log_list) {

				for (auto& walker_location : walker_log) {

					if (glm::distance(location, walker_location) < 35) {

						flag = true;
						break;
					}
				}
			}

			if (flag) {

				vector<glm::vec3> vertices;
				vertices.push_back(this->make_point(R, r, u, v - v_span * 0.5));
				vertices.push_back(this->make_point(R, r, u + u_span, v - v_span * 0.5));
				vertices.push_back(this->make_point(R, r, u + u_span, v + v_span * 0.5));
				vertices.push_back(this->make_point(R, r, u, v + v_span * 0.5));

				int index = face.getNumVertices();
				this->face.addVertices(vertices);

				this->face.addIndex(index + 0); face.addIndex(index + 1); face.addIndex(index + 2);
				this->face.addIndex(index + 0); face.addIndex(index + 2); face.addIndex(index + 3);

				this->frame.addVertices(vertices);

				this->frame.addIndex(index + 0); this->frame.addIndex(index + 1);
				this->frame.addIndex(index + 1); this->frame.addIndex(index + 2);
				this->frame.addIndex(index + 2); this->frame.addIndex(index + 3);
				this->frame.addIndex(index + 3); this->frame.addIndex(index + 0);
			}
		}
	}
}

//--------------------------------------------------------------
void ofApp::draw() {

	this->cam.begin();

	ofSetColor(0);
	this->face.draw();

	ofSetColor(255);
	this->frame.drawWireframe();

	for (int i = 0; i < this->walker_log_list.size(); i++) {

		auto walker_log = this->walker_log_list[i];
		ofSetColor(this->walker_color_list[i]);

		ofFill();
		ofDrawSphere(walker_log.back(), 5);

		ofNoFill();
		ofBeginShape();
		for (auto& walker_location : walker_log) {

			ofVertex(walker_location);
		}
		ofEndShape();
	}

	this->cam.end();
}

//--------------------------------------------------------------
glm::vec3 ofApp::make_point(float R, float r, float u, float v) {

	// 数学デッサン教室 描いて楽しむ数学たち　P.31

	u *= DEG_TO_RAD;
	v *= DEG_TO_RAD;

	auto x = (R + r * cos(u)) * cos(v);
	auto y = (R + r * cos(u)) * sin(v);
	auto z = r * sin(u);

	return glm::vec3(x, y, z);
}

//--------------------------------------------------------------
int main() {

	ofSetupOpenGL(720, 720, OF_WINDOW);
	ofRunApp(new ofApp());
}

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#include "ofApp.h"

//--------------------------------------------------------------

void ofApp::setup() {

ofSetFrameRate(60);

ofSetWindowTitle("openFrameworks");

ofBackground(0);

ofSetLineWidth(1.5);

ofEnableDepthTest();

this->frame.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);

}

//--------------------------------------------------------------

void ofApp::update() {

ofSeedRandom(39);

this->face.clear();

this->frame.clear();

vector<ofColor> color_list;

ofColor color;

vector<int> hex_list = { 0xff0000, 0xffed00, 0xff0092, 0xc2ff00, 0x00c7f2, 0xc1f1fc, 0xebffac, 0xffc2e5 };

for (auto hex : hex_list) {

color.setHex(hex);

color_list.push_back(color);

}

float R = 300;

float r = 100;

int v_span = 10;

int u_span = 10;

this->walker_log_list.clear();

this->walker_color_list.clear();

for (int i = 0; i < 15; i++) {

vector<glm::vec3> walker_location_list;

auto noise_param = glm::vec3(ofRandom(1000), ofRandom(1000), ofRandom(1000));

auto step_u = ofRandom(1, 1.5);

auto step_v = ofRandom(1, 1.5);

for (int k = 0; k < 40; k++) {

auto tmp_r = ofMap(ofNoise(noise_param.x, (ofGetFrameNum() * 0.01 + k) * 0.005), 0, 1, 80, 96);

auto tmp_u = noise_param.y + (ofGetFrameNum() + k) * step_u;

auto tmp_v = noise_param.z + (ofGetFrameNum() + k) * step_v;

walker_location_list.push_back(this->make_point(R, tmp_r, tmp_u, tmp_v));

}

this->walker_log_list.push_back(walker_location_list);

this->walker_color_list.push_back(color_list[(int)ofRandom(color_list.size())]);

}

for (int v = 0; v < 360; v += v_span) {

for (auto u = 0; u < 360; u += u_span) {

auto location = this->make_point(R, r, u, v);

auto flag = false;

for (auto& walker_log : this->walker_log_list) {

for (auto& walker_location : walker_log) {

if (glm::distance(location, walker_location) < 35) {

flag = true;

break;

}

if (flag) {

vector<glm::vec3> vertices;

vertices.push_back(this->make_point(R, r, u, v - v_span * 0.5));

vertices.push_back(this->make_point(R, r, u + u_span, v - v_span * 0.5));

vertices.push_back(this->make_point(R, r, u + u_span, v + v_span * 0.5));

vertices.push_back(this->make_point(R, r, u, v + v_span * 0.5));

int index = face.getNumVertices();

this->face.addVertices(vertices);

this->face.addIndex(index + 0); face.addIndex(index + 1); face.addIndex(index + 2);

this->face.addIndex(index + 0); face.addIndex(index + 2); face.addIndex(index + 3);

this->frame.addVertices(vertices);

this->frame.addIndex(index + 0); this->frame.addIndex(index + 1);

this->frame.addIndex(index + 1); this->frame.addIndex(index + 2);

this->frame.addIndex(index + 2); this->frame.addIndex(index + 3);

this->frame.addIndex(index + 3); this->frame.addIndex(index + 0);

}

//--------------------------------------------------------------

void ofApp::draw() {

this->cam.begin();

ofSetColor(0);

this->face.draw();

ofSetColor(255);

this->frame.drawWireframe();

for (int i = 0; i < this->walker_log_list.size(); i++) {

auto walker_log = this->walker_log_list[i];

ofSetColor(this->walker_color_list[i]);

ofFill();

ofDrawSphere(walker_log.back(), 5);

ofNoFill();

ofBeginShape();

for (auto& walker_location : walker_log) {

ofVertex(walker_location);

}

ofEndShape();

}

this->cam.end();

}

//--------------------------------------------------------------

glm::vec3 ofApp::make_point(float R, float r, float u, float v) {

// 数学デッサン教室描いて楽しむ数学たち　P.31

u *= DEG_TO_RAD;

v *= DEG_TO_RAD;

auto x = (R + r * cos(u)) * cos(v);

auto y = (R + r * cos(u)) * sin(v);

auto z = r * sin(u);

return glm::vec3(x, y, z);

}

//--------------------------------------------------------------

int main() {

ofSetupOpenGL(720, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

[ Link ]
https://github.com/junkiyoshi/Insta20210918

2021年9月15日2021年9月15日

Colorfull torus. Draw by openFrameworks

[ Video ]

[ About ]
トーラス座標を計算する関数で遊ぶ。

Play with functions to calculate the torus coordinates.

[ Source ]

#pragma once
#include "ofMain.h"

class ofApp : public ofBaseApp {

public:
	void setup();
	void update();
	void draw();

	void keyPressed(int key) {};
	void keyReleased(int key) {};
	void mouseMoved(int x, int y) {};
	void mouseDragged(int x, int y, int button) {};
	void mousePressed(int x, int y, int button) {};
	void mouseReleased(int x, int y, int button) {};
	void windowResized(int w, int h) {};
	void dragEvent(ofDragInfo dragInfo) {};
	void gotMessage(ofMessage msg) {};

	glm::vec3 make_point(float R, float r, float u, float v);

	ofEasyCam cam;
	ofMesh face, line;
};

#pragma once

#include "ofMain.h"

class ofApp : public ofBaseApp {

public:

void setup();

void update();

void draw();

void keyPressed(int key) {};

void keyReleased(int key) {};

void mouseMoved(int x, int y) {};

void mouseDragged(int x, int y, int button) {};

void mousePressed(int x, int y, int button) {};

void mouseReleased(int x, int y, int button) {};

void windowResized(int w, int h) {};

void dragEvent(ofDragInfo dragInfo) {};

void gotMessage(ofMessage msg) {};

glm::vec3 make_point(float R, float r, float u, float v);

ofEasyCam cam;

ofMesh face, line;

};

#include "ofApp.h"

//--------------------------------------------------------------
void ofApp::setup() {

	ofSetFrameRate(60);
	ofSetWindowTitle("openframeworks");

	ofBackground(239);
	ofSetLineWidth(3);
	ofEnableDepthTest();

	this->line.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);
}

//--------------------------------------------------------------
void ofApp::update() {

	ofSeedRandom(39);

	this->face.clear();
	this->line.clear();

	auto R = 100.f;
	auto u = 0.f;
	auto u_step = 10.f;
	auto v_step = 5.f;

	ofColor color;
	for (int i = 0; i < 36; i++) {

		auto r = ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * 0.01), 0, 1, 10, 45);
		float angle_z = (i * 5) * DEG_TO_RAD;
		auto rotation_z = glm::rotate(glm::mat4(), angle_z, glm::vec3(0, 0, 1));
		color.setHsb(ofMap(i, 0, 36, 0, 255), 230, 255);
		for (auto v = 0; v < 360; v += v_step) {

			vector<glm::vec3> vertices{
				glm::vec4(this->make_point(R, r, u, v), 0) * rotation_z,
				glm::vec4(this->make_point(R, r, u + u_step, v + v_step), 0) * rotation_z,
				glm::vec4(this->make_point(R, r, u, v + v_step), 0) * rotation_z,
				glm::vec4(this->make_point(R, r, u - u_step, v), 0) * rotation_z
			};

			this->face.addVertices(vertices);

			this->line.addVertices(vertices);

			for (int k = 0; k < vertices.size(); k++) {

				this->face.addColor(ofColor(color, 138));
				this->line.addColor(color);
			}

			auto index = this->face.getVertices().size() - 1; // 末尾の番地

			this->face.addIndex(index - 3); this->face.addIndex(index - 2); this->face.addIndex(index - 1);
			this->face.addIndex(index); this->face.addIndex(index - 3); this->face.addIndex(index - 1);

			this->line.addIndex(index - 3); this->line.addIndex(index - 2);
			this->line.addIndex(index); this->line.addIndex(index - 1);

			u += u_step;
		}
	}
}

//--------------------------------------------------------------
void ofApp::draw() {

	this->cam.begin();

	this->face.draw();
	this->line.draw();

	this->cam.end();
}

//--------------------------------------------------------------
glm::vec3 ofApp::make_point(float R, float r, float u, float v) {

	// 数学デッサン教室 描いて楽しむ数学たち　P.31

	u *= DEG_TO_RAD;
	v *= DEG_TO_RAD;

	auto x = (R + r * cos(u)) * cos(v);
	auto y = (R + r * cos(u)) * sin(v);
	auto z = r * sin(u);

	return glm::vec3(x, y, z);
}


//--------------------------------------------------------------
int main() {

	ofSetupOpenGL(720, 720, OF_WINDOW);
	ofRunApp(new ofApp());
}

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#include "ofApp.h"

//--------------------------------------------------------------

void ofApp::setup() {

ofSetFrameRate(60);

ofSetWindowTitle("openframeworks");

ofBackground(239);

ofSetLineWidth(3);

ofEnableDepthTest();

this->line.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);

}

//--------------------------------------------------------------

void ofApp::update() {

ofSeedRandom(39);

this->face.clear();

this->line.clear();

auto R = 100.f;

auto u = 0.f;

auto u_step = 10.f;

auto v_step = 5.f;

ofColor color;

for (int i = 0; i < 36; i++) {

auto r = ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * 0.01), 0, 1, 10, 45);

float angle_z = (i * 5) * DEG_TO_RAD;

auto rotation_z = glm::rotate(glm::mat4(), angle_z, glm::vec3(0, 0, 1));

color.setHsb(ofMap(i, 0, 36, 0, 255), 230, 255);

for (auto v = 0; v < 360; v += v_step) {

vector<glm::vec3> vertices{

glm::vec4(this->make_point(R, r, u, v), 0) * rotation_z,

glm::vec4(this->make_point(R, r, u + u_step, v + v_step), 0) * rotation_z,

glm::vec4(this->make_point(R, r, u, v + v_step), 0) * rotation_z,

glm::vec4(this->make_point(R, r, u - u_step, v), 0) * rotation_z

};

this->face.addVertices(vertices);

this->line.addVertices(vertices);

for (int k = 0; k < vertices.size(); k++) {

this->face.addColor(ofColor(color, 138));

this->line.addColor(color);

}

auto index = this->face.getVertices().size() - 1; // 末尾の番地

this->face.addIndex(index - 3); this->face.addIndex(index - 2); this->face.addIndex(index - 1);

this->face.addIndex(index); this->face.addIndex(index - 3); this->face.addIndex(index - 1);

this->line.addIndex(index - 3); this->line.addIndex(index - 2);

this->line.addIndex(index); this->line.addIndex(index - 1);

u += u_step;

}

//--------------------------------------------------------------

void ofApp::draw() {

this->cam.begin();

this->face.draw();

this->line.draw();

this->cam.end();

}

//--------------------------------------------------------------

glm::vec3 ofApp::make_point(float R, float r, float u, float v) {

// 数学デッサン教室描いて楽しむ数学たち　P.31

u *= DEG_TO_RAD;

v *= DEG_TO_RAD;

auto x = (R + r * cos(u)) * cos(v);

auto y = (R + r * cos(u)) * sin(v);

auto z = r * sin(u);

return glm::vec3(x, y, z);

}

//--------------------------------------------------------------

int main() {

ofSetupOpenGL(720, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

[ Link ]
https://github.com/junkiyoshi/Insta20210915

2021年8月15日2021年8月14日

Double torus. Draw by openFrameworks

[ Video ]

[ About ]
トーラスの座標計算式

Coordinate formula of the torus.

//--------------------------------------------------------------
glm::vec3 ofApp::make_point(float R, float r, float u, float v) {

	// 数学デッサン教室 描いて楽しむ数学たち　P.31

	u *= DEG_TO_RAD;
	v *= DEG_TO_RAD;

	auto x = (R + r * cos(u)) * cos(v);
	auto y = (R + r * cos(u)) * sin(v);
	auto z = r * sin(u);

	return glm::vec3(x, y, z);
}

//--------------------------------------------------------------

glm::vec3 ofApp::make_point(float R, float r, float u, float v) {

// 数学デッサン教室描いて楽しむ数学たち　P.31

u *= DEG_TO_RAD;

v *= DEG_TO_RAD;

auto x = (R + r * cos(u)) * cos(v);

auto y = (R + r * cos(u)) * sin(v);

auto z = r * sin(u);

return glm::vec3(x, y, z);

}

[ Source ]

#pragma once
#include "ofMain.h"

class ofApp : public ofBaseApp {

public:
	void setup();
	void update();
	void draw();

	void keyPressed(int key) {};
	void keyReleased(int key) {};
	void mouseMoved(int x, int y) {};
	void mouseDragged(int x, int y, int button) {};
	void mousePressed(int x, int y, int button) {};
	void mouseReleased(int x, int y, int button) {};
	void windowResized(int w, int h) {};
	void dragEvent(ofDragInfo dragInfo) {};
	void gotMessage(ofMessage msg) {};

	glm::vec3 make_point(float R, float r, float u, float v);

	ofEasyCam cam;
};

#pragma once

#include "ofMain.h"

class ofApp : public ofBaseApp {

public:

void setup();

void update();

void draw();

void keyPressed(int key) {};

void keyReleased(int key) {};

void mouseMoved(int x, int y) {};

void mouseDragged(int x, int y, int button) {};

void mousePressed(int x, int y, int button) {};

void mouseReleased(int x, int y, int button) {};

void windowResized(int w, int h) {};

void dragEvent(ofDragInfo dragInfo) {};

void gotMessage(ofMessage msg) {};

glm::vec3 make_point(float R, float r, float u, float v);

ofEasyCam cam;

};

#include "ofApp.h"

//--------------------------------------------------------------
void ofApp::setup() {

	ofSetFrameRate(60);
	ofSetWindowTitle("openframeworks");

	ofBackground(0);
	ofSetLineWidth(2);
	ofEnableDepthTest();
}

//--------------------------------------------------------------
void ofApp::update() {

	ofSeedRandom(39);
}

//--------------------------------------------------------------
void ofApp::draw() {

	this->cam.begin();

	int v_span = 1;
	int u_span = 30;
	int R = 200;

	ofMesh face, line;
	line.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);

	for (int r = 50; r >= 20; r -= 20) {

		float noise_seed = ofRandom(1000);
		auto color_flag = true;
		for (int v = 0; v <= 360; v += v_span) {

			bool flag = true;
			int u_start = ofMap(ofNoise(noise_seed, cos(v * DEG_TO_RAD) * 0.5, sin(v * DEG_TO_RAD) * 0.5, ofGetFrameNum() * 0.005), 0, 1, -360, 360);
			int next_u = ofMap(ofNoise(noise_seed, cos((v + v_span) * DEG_TO_RAD) * 0.5, sin((v + v_span) * DEG_TO_RAD) * 0.5, ofGetFrameNum() * 0.005), 0, 1, -360, 360);
			for (int u = u_start; u < u_start + 360; u += u_span) {

				if (flag) {

					face.addVertex(this->make_point(R, r, u, v));
					face.addVertex(this->make_point(R, r, u + u_span, v));
					face.addVertex(this->make_point(R, r, next_u + u_span, v + v_span));
					face.addVertex(this->make_point(R, r, next_u, v + v_span));

					line.addVertex(this->make_point(R, r, u, v));
					line.addVertex(this->make_point(R, r, u + u_span, v));
					line.addVertex(this->make_point(R, r, next_u + u_span, v + v_span));
					line.addVertex(this->make_point(R, r, next_u, v + v_span));

					ofColor face_color = r == 50 ? ofColor(0) : ofColor(239);
					ofColor line_color = r == 50 ? ofColor(239) : ofColor(0);

					color_flag = !color_flag;

					face.addColor(face_color);
					face.addColor(face_color);
					face.addColor(face_color);
					face.addColor(face_color);

					line.addColor(line_color);
					line.addColor(line_color);
					line.addColor(line_color);
					line.addColor(line_color);

					face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 2); face.addIndex(face.getNumVertices() - 3);
					face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 3); face.addIndex(face.getNumVertices() - 4);

					line.addIndex(line.getNumVertices() - 1); line.addIndex(line.getNumVertices() - 4);
					line.addIndex(line.getNumVertices() - 2); line.addIndex(line.getNumVertices() - 3);
				}

				next_u += u_span;
				flag = !flag;
			}
		}
	}

	face.drawFaces();
	line.drawWireframe();

	this->cam.end();
}

//--------------------------------------------------------------
glm::vec3 ofApp::make_point(float R, float r, float u, float v) {

	// 数学デッサン教室 描いて楽しむ数学たち　P.31

	u *= DEG_TO_RAD;
	v *= DEG_TO_RAD;

	auto x = (R + r * cos(u)) * cos(v);
	auto y = (R + r * cos(u)) * sin(v);
	auto z = r * sin(u);

	return glm::vec3(x, y, z);
}

//--------------------------------------------------------------
int main() {

	ofSetupOpenGL(720, 720, OF_WINDOW);
	ofRunApp(new ofApp());
}

100

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#include "ofApp.h"

//--------------------------------------------------------------

void ofApp::setup() {

ofSetFrameRate(60);

ofSetWindowTitle("openframeworks");

ofBackground(0);

ofSetLineWidth(2);

ofEnableDepthTest();

}

//--------------------------------------------------------------

void ofApp::update() {

ofSeedRandom(39);

}

//--------------------------------------------------------------

void ofApp::draw() {

this->cam.begin();

int v_span = 1;

int u_span = 30;

int R = 200;

ofMesh face, line;

line.setMode(ofPrimitiveMode::OF_PRIMITIVE_LINES);

for (int r = 50; r >= 20; r -= 20) {

float noise_seed = ofRandom(1000);

auto color_flag = true;

for (int v = 0; v <= 360; v += v_span) {

bool flag = true;

int u_start = ofMap(ofNoise(noise_seed, cos(v * DEG_TO_RAD) * 0.5, sin(v * DEG_TO_RAD) * 0.5, ofGetFrameNum() * 0.005), 0, 1, -360, 360);

int next_u = ofMap(ofNoise(noise_seed, cos((v + v_span) * DEG_TO_RAD) * 0.5, sin((v + v_span) * DEG_TO_RAD) * 0.5, ofGetFrameNum() * 0.005), 0, 1, -360, 360);

for (int u = u_start; u < u_start + 360; u += u_span) {

if (flag) {

face.addVertex(this->make_point(R, r, u, v));

face.addVertex(this->make_point(R, r, u + u_span, v));

face.addVertex(this->make_point(R, r, next_u + u_span, v + v_span));

face.addVertex(this->make_point(R, r, next_u, v + v_span));

line.addVertex(this->make_point(R, r, u, v));

line.addVertex(this->make_point(R, r, u + u_span, v));

line.addVertex(this->make_point(R, r, next_u + u_span, v + v_span));

line.addVertex(this->make_point(R, r, next_u, v + v_span));

ofColor face_color = r == 50 ? ofColor(0) : ofColor(239);

ofColor line_color = r == 50 ? ofColor(239) : ofColor(0);

color_flag = !color_flag;

face.addColor(face_color);

line.addColor(line_color);

face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 2); face.addIndex(face.getNumVertices() - 3);

face.addIndex(face.getNumVertices() - 1); face.addIndex(face.getNumVertices() - 3); face.addIndex(face.getNumVertices() - 4);

line.addIndex(line.getNumVertices() - 1); line.addIndex(line.getNumVertices() - 4);

line.addIndex(line.getNumVertices() - 2); line.addIndex(line.getNumVertices() - 3);

}

next_u += u_span;

flag = !flag;

}

face.drawFaces();

line.drawWireframe();

this->cam.end();

}

//--------------------------------------------------------------

glm::vec3 ofApp::make_point(float R, float r, float u, float v) {

// 数学デッサン教室描いて楽しむ数学たち　P.31

u *= DEG_TO_RAD;

v *= DEG_TO_RAD;

auto x = (R + r * cos(u)) * cos(v);

auto y = (R + r * cos(u)) * sin(v);

auto z = r * sin(u);

return glm::vec3(x, y, z);

}

//--------------------------------------------------------------

int main() {

ofSetupOpenGL(720, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

[ Link ]
https://github.com/junkiyoshi/Insta202108015

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