数学デッサン教室 – ページ 10 – プログラミング de 落描き

2019年7月30日2019年7月30日

Half torus. openFrameworks

[ Video ]

[ About ]
多層半分トーラス。

Half 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 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;
};

#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;

};

#include "ofApp.h"	

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

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

	ofBackground(239);
	ofSetLineWidth(2);
	ofEnableDepthTest();
}

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

	ofSeedRandom(39);
}

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

	this->cam.begin();

	auto R = 300;
	auto v_span = 20;
	auto u_span = 20;
	for (auto v = 0; v < 360; v += v_span) {

		auto noise_point = glm::vec2(R * cos(v * DEG_TO_RAD), R * sin(v * DEG_TO_RAD));
		for (auto r = 30; r < 100; r += 30) {

			auto u_start = ofMap(ofNoise(noise_point.x * 0.005, noise_point.y * 0.005, (ofGetFrameNum() + r) * 0.005), 0, 1, -180, 180);
			for (auto u = u_start; u < u_start + 180; u += u_span) {

				ofSetColor(39);
				ofFill();

				ofBeginShape();
				ofVertex(this->make_point(R, r, u - v_span * 0.5 - 0.2, v - u_span * 0.3 - 0.1));
				ofVertex(this->make_point(R, r, u + v_span * 0.5 - 0.2, v - u_span * 0.3 - 0.1));
				ofVertex(this->make_point(R, r, u + v_span * 0.5 - 0.2, v + u_span * 0.3 - 0.1));
				ofVertex(this->make_point(R, r, u - v_span * 0.5 - 0.2, v + u_span * 0.3 - 0.1));
				ofEndShape(true);

				ofSetColor(239);
				ofNoFill();

				ofBeginShape();
				ofVertex(this->make_point(R, r, u - v_span * 0.5 + 0.2, v - u_span * 0.3 + 0.1));
				ofVertex(this->make_point(R, r, u + v_span * 0.5 + 0.2, v - u_span * 0.3 + 0.1));
				ofVertex(this->make_point(R, r, u + v_span * 0.5 + 0.2, v + u_span * 0.3 + 0.1));
				ofVertex(this->make_point(R, r, u - v_span * 0.5 + 0.2, v + u_span * 0.3 + 0.1));
				ofEndShape(true);
			}
		}
	}

	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(2);

ofEnableDepthTest();

}

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

void ofApp::update() {

ofSeedRandom(39);

}

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

void ofApp::draw() {

this->cam.begin();

auto R = 300;

auto v_span = 20;

auto u_span = 20;

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

auto noise_point = glm::vec2(R * cos(v * DEG_TO_RAD), R * sin(v * DEG_TO_RAD));

for (auto r = 30; r < 100; r += 30) {

auto u_start = ofMap(ofNoise(noise_point.x * 0.005, noise_point.y * 0.005, (ofGetFrameNum() + r) * 0.005), 0, 1, -180, 180);

for (auto u = u_start; u < u_start + 180; u += u_span) {

ofSetColor(39);

ofFill();

ofBeginShape();

ofVertex(this->make_point(R, r, u - v_span * 0.5 - 0.2, v - u_span * 0.3 - 0.1));

ofVertex(this->make_point(R, r, u + v_span * 0.5 - 0.2, v - u_span * 0.3 - 0.1));

ofVertex(this->make_point(R, r, u + v_span * 0.5 - 0.2, v + u_span * 0.3 - 0.1));

ofVertex(this->make_point(R, r, u - v_span * 0.5 - 0.2, v + u_span * 0.3 - 0.1));

ofEndShape(true);

ofSetColor(239);

ofNoFill();

ofBeginShape();

ofVertex(this->make_point(R, r, u - v_span * 0.5 + 0.2, v - u_span * 0.3 + 0.1));

ofVertex(this->make_point(R, r, u + v_span * 0.5 + 0.2, v - u_span * 0.3 + 0.1));

ofVertex(this->make_point(R, r, u + v_span * 0.5 + 0.2, v + u_span * 0.3 + 0.1));

ofVertex(this->make_point(R, r, u - v_span * 0.5 + 0.2, v + u_span * 0.3 + 0.1));

ofEndShape(true);

}

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/Insta20190730

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2019年7月21日

Point on torus. openFrameworks

[ Video ]

[ About ]
トーラス上の座標をノイズでズラして結ぶ。

Point on 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;
};

#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(239);
	ofSetLineWidth(2);
	ofEnableDepthTest();
}

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

}

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

	this->cam.begin();

	vector<glm::vec3> line;
	for (int v = 0; v < 360; v += 5) {

		auto noise_location = glm::vec2(cos(v * DEG_TO_RAD), sin(v * DEG_TO_RAD));

		vector<glm::vec3> vertices;
		int u_start = ofMap(ofNoise(noise_location.x * 0.5, noise_location.y * 0.5, ofGetFrameNum() * 0.005), 0, 1, -360, 360);

		ofFill();
		ofSetColor(39);

		line.push_back(this->make_point(250, 65, u_start * DEG_TO_RAD, v * DEG_TO_RAD));
		ofDrawSphere(line.back(), 5);

		for (int u = u_start + 30; u <= u_start + 330; u += 10) {

			vertices.push_back(this->make_point(250, 65, u * DEG_TO_RAD, v * DEG_TO_RAD));
		}

		ofNoFill();
		ofSetColor(139);
		ofBeginShape();
		ofVertices(vertices);
		ofEndShape();
	}

	ofSetColor(39);
	ofBeginShape();
	ofVertices(line);
	ofEndShape(true);

	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

	float x = (R + r * cos(u)) * cos(v);
	float y = (R + r * cos(u)) * sin(v);
	float 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(2);

ofEnableDepthTest();

}

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

void ofApp::update() {

}

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

void ofApp::draw() {

this->cam.begin();

vector<glm::vec3> line;

for (int v = 0; v < 360; v += 5) {

auto noise_location = glm::vec2(cos(v * DEG_TO_RAD), sin(v * DEG_TO_RAD));

vector<glm::vec3> vertices;

int u_start = ofMap(ofNoise(noise_location.x * 0.5, noise_location.y * 0.5, ofGetFrameNum() * 0.005), 0, 1, -360, 360);

ofFill();

ofSetColor(39);

line.push_back(this->make_point(250, 65, u_start * DEG_TO_RAD, v * DEG_TO_RAD));

ofDrawSphere(line.back(), 5);

for (int u = u_start + 30; u <= u_start + 330; u += 10) {

vertices.push_back(this->make_point(250, 65, u * DEG_TO_RAD, v * DEG_TO_RAD));

}

ofNoFill();

ofSetColor(139);

ofBeginShape();

ofVertices(vertices);

ofEndShape();

}

ofSetColor(39);

ofBeginShape();

ofVertices(line);

ofEndShape(true);

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

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

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

float 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/Insta20190721

[ほしいものリスト]
Amazon

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2019年7月11日2019年7月11日

Rotating torus. openframeworks

[ Video ]

[ About ]
分割したトーラスを回転。

Split torus is rotating.

[ 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;
};

#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;

};

#include "ofApp.h"	

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

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

	ofBackground(239);
	ofSetLineWidth(2);
	ofEnableDepthTest();
}

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

	ofSeedRandom(39);
}

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

	this->cam.begin();

	auto r = 100;
	auto R = 300;
	auto v_span = 20;
	auto u_span = 20;
	for (auto v = 0; v < 360; v += v_span) {

		auto u_start = ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * 0.005), 0, 1, -180, 180);
		for (auto u = u_start; u < u_start + 360; u += u_span) {

			v % 40 == 0 ? ofSetColor(239) : ofSetColor(39);
			ofFill();

			ofBeginShape();
			ofVertex(this->make_point(R, r, u - v_span * 0.5 - 0.2, v - u_span * 0.3 - 0.1));
			ofVertex(this->make_point(R, r, u + v_span * 0.5 - 0.2, v - u_span * 0.3 - 0.1));
			ofVertex(this->make_point(R, r, u + v_span * 0.5 - 0.2, v + u_span * 0.3 - 0.1));
			ofVertex(this->make_point(R, r, u - v_span * 0.5 - 0.2, v + u_span * 0.3 - 0.1));
			ofEndShape(true);

			v % 40 == 0 ? ofSetColor(39) : ofSetColor(239);
			ofNoFill();

			ofBeginShape();
			ofVertex(this->make_point(R, r, u - v_span * 0.5 + 0.2, v - u_span * 0.3 + 0.1));
			ofVertex(this->make_point(R, r, u + v_span * 0.5 + 0.2, v - u_span * 0.3 + 0.1));
			ofVertex(this->make_point(R, r, u + v_span * 0.5 + 0.2, v + u_span * 0.3 + 0.1));
			ofVertex(this->make_point(R, r, u - v_span * 0.5 + 0.2, v + u_span * 0.3 + 0.1));
			ofEndShape(true);
		}
	}

	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(2);

ofEnableDepthTest();

}

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

void ofApp::update() {

ofSeedRandom(39);

}

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

void ofApp::draw() {

this->cam.begin();

auto r = 100;

auto R = 300;

auto v_span = 20;

auto u_span = 20;

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

auto u_start = ofMap(ofNoise(ofRandom(1000), ofGetFrameNum() * 0.005), 0, 1, -180, 180);

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

v % 40 == 0 ? ofSetColor(239) : ofSetColor(39);

ofFill();

ofBeginShape();

ofVertex(this->make_point(R, r, u - v_span * 0.5 - 0.2, v - u_span * 0.3 - 0.1));

ofVertex(this->make_point(R, r, u + v_span * 0.5 - 0.2, v - u_span * 0.3 - 0.1));

ofVertex(this->make_point(R, r, u + v_span * 0.5 - 0.2, v + u_span * 0.3 - 0.1));

ofVertex(this->make_point(R, r, u - v_span * 0.5 - 0.2, v + u_span * 0.3 - 0.1));

ofEndShape(true);

v % 40 == 0 ? ofSetColor(39) : ofSetColor(239);

ofNoFill();

ofBeginShape();

ofVertex(this->make_point(R, r, u - v_span * 0.5 + 0.2, v - u_span * 0.3 + 0.1));

ofVertex(this->make_point(R, r, u + v_span * 0.5 + 0.2, v - u_span * 0.3 + 0.1));

ofVertex(this->make_point(R, r, u + v_span * 0.5 + 0.2, v + u_span * 0.3 + 0.1));

ofVertex(this->make_point(R, r, u - v_span * 0.5 + 0.2, v + u_span * 0.3 + 0.1));

ofEndShape(true);

}

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/Insta20190711

[ほしいものリスト]
Amazon

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