Torus – ページ 28 – プログラミング de 落描き

2020年3月28日

Hexagonal torus. openFrameworks

[ Video ]

[ About ]
六角形を円に配置してそれぞれ回す。

Arrange the hexagons in a circle and turn each one.

[ 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_mesh, frame_mesh;
};

#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_mesh, frame_mesh;

};

#include "ofApp.h"

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

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

	ofBackground(239);
	ofSetLineWidth(1.5);
	ofEnableDepthTest();

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

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

	ofSeedRandom(39);

	this->face_mesh.clear();
	this->frame_mesh.clear();

	auto R = 200;
	auto r = 65;
	auto v_span = 5;
	auto u_span = 60;
	for (auto v = 0; v < 360; v += v_span) {

		auto u_start = ofMap(ofNoise(cos(v * DEG_TO_RAD) * 0.5, sin(v * DEG_TO_RAD) * 0.5, ofGetFrameNum() * 0.005), 0, 1, -180, 180);
		for (auto u = u_start; u < u_start + 360; u += u_span) {

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

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

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

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

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

	this->cam.begin();
	ofRotateX(300);

	ofSetColor(39);
	this->face_mesh.drawFaces();

	ofSetColor(239);
	this->frame_mesh.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());
}

#include "ofApp.h"

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

void ofApp::setup() {

ofSetFrameRate(60);

ofSetWindowTitle("openframeworks");

ofBackground(239);

ofSetLineWidth(1.5);

ofEnableDepthTest();

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

}

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

void ofApp::update() {

ofSeedRandom(39);

this->face_mesh.clear();

this->frame_mesh.clear();

auto R = 200;

auto r = 65;

auto v_span = 5;

auto u_span = 60;

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

auto u_start = ofMap(ofNoise(cos(v * DEG_TO_RAD) * 0.5, sin(v * DEG_TO_RAD) * 0.5, ofGetFrameNum() * 0.005), 0, 1, -180, 180);

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

vector<glm::vec3> vertices;

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

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

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

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

int index = this->face_mesh.getNumVertices();

this->face_mesh.addVertices(vertices);

this->frame_mesh.addVertices(vertices);

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

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

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

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

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

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

}

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

void ofApp::draw() {

this->cam.begin();

ofRotateX(300);

ofSetColor(39);

this->face_mesh.drawFaces();

ofSetColor(239);

this->frame_mesh.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/Insta20200328

2020年3月9日

Torus in Torus. openFrameworks

[ Video ]

[ About ]
トーラス in トーラス。

Torus in Torus.

[ 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, frame;
};

#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, frame;

};

#include "ofApp.h"

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

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

	ofBackground(239);
	ofEnableDepthTest();

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

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

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

	auto R = 100.f;
	auto u_step = 1.f;
	auto v_step = 1.f;

	for (int i = 0; i < 7; i++) {

		auto r = 25.f;

		float angle_z = (i * u_step * 2) * DEG_TO_RAD;
		auto rotation_z = glm::rotate(glm::mat4(), angle_z, glm::vec3(0, 0, 1));

		auto v_start = 0.f;
		auto v_len = 360.f;

		if (i % 2 == 0) {

			v_start = (ofGetFrameNum() + i * 15) % 360;
			v_len = 120;
			r = 15;
		}

		for (auto v = v_start; v < v_start + v_len; v += v_step) {

			vector<glm::vec3> vertices{
				glm::vec4(this->make_point(R, r, v * u_step * 17, v * 2), 0) * rotation_z,
				glm::vec4(this->make_point(R, r, (v + v_step) * u_step * 17, (v + v_step) * 2), 0) * rotation_z,
				glm::vec4(this->make_point(R, r, v * u_step * 17, (v + v_step) * 2), 0) * rotation_z,
				glm::vec4(this->make_point(R, r, (v - v_step) * u_step * 17, v * 2), 0) * rotation_z
			};

			auto index = this->face.getNumVertices();

			this->face.addVertices(vertices);
			this->frame.addVertices(vertices);

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

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

			for (int k = 0; k < 4; k++) {

				i % 2 == 0 ? this->face.addColor(ofColor(39)) : this->face.addColor(ofColor(239));
				i % 2 == 0 ? this->frame.addColor(ofColor(239)) : this->frame.addColor(ofColor(39));
			}
		}
	}
}


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

	this->cam.begin();

	this->face.draw();
	this->frame.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());
}

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102

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104

#include "ofApp.h"

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

void ofApp::setup() {

ofSetFrameRate(60);

ofSetWindowTitle("openFrameworks");

ofBackground(239);

ofEnableDepthTest();

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

}

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

void ofApp::update() {

this->face.clear();

this->frame.clear();

auto R = 100.f;

auto u_step = 1.f;

auto v_step = 1.f;

for (int i = 0; i < 7; i++) {

auto r = 25.f;

float angle_z = (i * u_step * 2) * DEG_TO_RAD;

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

auto v_start = 0.f;

auto v_len = 360.f;

if (i % 2 == 0) {

v_start = (ofGetFrameNum() + i * 15) % 360;

v_len = 120;

r = 15;

}

for (auto v = v_start; v < v_start + v_len; v += v_step) {

vector<glm::vec3> vertices{

glm::vec4(this->make_point(R, r, v * u_step * 17, v * 2), 0) * rotation_z,

glm::vec4(this->make_point(R, r, (v + v_step) * u_step * 17, (v + v_step) * 2), 0) * rotation_z,

glm::vec4(this->make_point(R, r, v * u_step * 17, (v + v_step) * 2), 0) * rotation_z,

glm::vec4(this->make_point(R, r, (v - v_step) * u_step * 17, v * 2), 0) * rotation_z

};

auto index = this->face.getNumVertices();

this->face.addVertices(vertices);

this->frame.addVertices(vertices);

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

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

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

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

for (int k = 0; k < 4; k++) {

i % 2 == 0 ? this->face.addColor(ofColor(39)) : this->face.addColor(ofColor(239));

i % 2 == 0 ? this->frame.addColor(ofColor(239)) : this->frame.addColor(ofColor(39));

}

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

void ofApp::draw() {

this->cam.begin();

this->face.draw();

this->frame.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/Insta20200309

2020年3月3日2020年3月3日

Torus of red and white. openFrameworks

[ Video ]

[ About ]
縁起が良さそうな色合いのトーラス。

Torus of red and white.

[ 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, frame;
};

#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, frame;

};

#include "ofApp.h"

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

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

	ofBackground(239);
	ofEnableDepthTest();

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

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

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

	auto R = 100.f;
	auto r = 30.f;
	auto u_step = 1.f;
	auto v_step = 1.f;

	for (int i = 0; i < 7; i++) {

		float angle_z = (i * u_step * 2) * DEG_TO_RAD;
		auto rotation_z = glm::rotate(glm::mat4(), angle_z, glm::vec3(0, 0, 1));

		auto v_start = 0.f;
		auto v_len = 360.f;

		if (i % 2 == 0) {

			v_start = (ofGetFrameNum() + i * 15) % 360;
			v_len = 180;
		}

		for (auto v = v_start; v < v_start + v_len; v += v_step) {

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

			auto index = this->face.getNumVertices();

			this->face.addVertices(vertices);
			this->frame.addVertices(vertices);

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

			this->frame.addIndex(index + 0); this->frame.addIndex(index + 1);
			this->frame.addIndex(index + 2); this->frame.addIndex(index + 3);
			
			for (int k = 0; k < 4; k++) {

				i % 2 == 0 ? this->face.addColor(ofColor(239, 39, 39)) : this->face.addColor(ofColor(239));
				i % 2 == 0 ? this->frame.addColor(ofColor(239)) : this->frame.addColor(ofColor(239, 39, 39));
			}
		}
	}
}


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

	this->cam.begin();

	this->face.draw();
	this->frame.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(7 * u)) * cos(2 * v);
	auto y = (R + r * cos(7 * u)) * sin(2 * v);
	auto z = r * sin(7 * u);

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


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

	ofSetupOpenGL(1280, 720, OF_WINDOW);
	ofRunApp(new ofApp());
}

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#include "ofApp.h"

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

void ofApp::setup() {

ofSetFrameRate(60);

ofSetWindowTitle("openFrameworks");

ofBackground(239);

ofEnableDepthTest();

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

}

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

void ofApp::update() {

this->face.clear();

this->frame.clear();

auto R = 100.f;

auto r = 30.f;

auto u_step = 1.f;

auto v_step = 1.f;

for (int i = 0; i < 7; i++) {

float angle_z = (i * u_step * 2) * DEG_TO_RAD;

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

auto v_start = 0.f;

auto v_len = 360.f;

if (i % 2 == 0) {

v_start = (ofGetFrameNum() + i * 15) % 360;

v_len = 180;

}

for (auto v = v_start; v < v_start + v_len; v += v_step) {

vector<glm::vec3> vertices{

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

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

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

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

};

auto index = this->face.getNumVertices();

this->face.addVertices(vertices);

this->frame.addVertices(vertices);

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

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

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

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

for (int k = 0; k < 4; k++) {

i % 2 == 0 ? this->face.addColor(ofColor(239, 39, 39)) : this->face.addColor(ofColor(239));

i % 2 == 0 ? this->frame.addColor(ofColor(239)) : this->frame.addColor(ofColor(239, 39, 39));

}

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

void ofApp::draw() {

this->cam.begin();

this->face.draw();

this->frame.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(7 * u)) * cos(2 * v);

auto y = (R + r * cos(7 * u)) * sin(2 * v);

auto z = r * sin(7 * u);

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

}

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

int main() {

ofSetupOpenGL(1280, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

[ Link ]
https://github.com/junkiyoshi/Insta20200303

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