数学デッサン教室 – ページ 7 – プログラミング de 落描き

2019年12月10日2019年12月10日

Splitting apple. openFrameworks

[ Video ]

[ About ]
分割りんご。

Splitting apple.

[ 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_apple_point(float u, float v);

	ofEasyCam cam;
	ofMesh 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_apple_point(float u, float v);

ofEasyCam cam;

ofMesh mesh;

};

#include "ofApp.h"

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

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

	ofBackground(239);
	ofSetColor(39);
	ofEnableDepthTest();
}

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

	ofSeedRandom(39);
	this->mesh.clear();

	int span = 8;
	int scale, index;
	for (int v = 0; v < 360; v += span) {

		for (int u = -170; u < 250; u += span) {

			auto noise_seed = (this->make_apple_point(u - span * 0.5, v - span * 0.5) + this->make_apple_point(u - span * 0.5, v + span * 0.5) + this->make_apple_point(u + span * 0.5, v + span * 0.5)) / 3;
			auto noise_value = ofNoise(glm::vec4(noise_seed * 0.25, ofGetFrameNum() * 0.008));
			scale = 30;
			if (noise_value > 0.65) {
			
				scale = ofMap(noise_value, 0.65, 1, 30, 50);
			}
			index = this->mesh.getNumVertices();
			
			this->mesh.addVertex(this->make_apple_point(u - span * 0.5, v - span * 0.5) * scale);
			this->mesh.addVertex(this->make_apple_point(u - span * 0.5, v + span * 0.5) * scale);
			this->mesh.addVertex(this->make_apple_point(u + span * 0.5, v + span * 0.5) * scale);
						
			this->mesh.addIndex(index); this->mesh.addIndex(index + 1); this->mesh.addIndex(index + 2);

			noise_seed = (this->make_apple_point(u - span * 0.5, v - span * 0.5) + this->make_apple_point(u + span * 0.5, v - span * 0.5) + this->make_apple_point(u + span * 0.5, v + span * 0.5)) / 3;
			noise_value = ofNoise(glm::vec4(noise_seed * 0.25, ofGetFrameNum() * 0.008));
			scale = 30;
			if (noise_value > 0.65) {

				scale = ofMap(noise_value, 0.65, 1, 30, 50);
			}
			index = this->mesh.getNumVertices();

			this->mesh.addVertex(this->make_apple_point(u - span * 0.5, v - span * 0.5) * scale);
			this->mesh.addVertex(this->make_apple_point(u + span * 0.5, v - span * 0.5) * scale);
			this->mesh.addVertex(this->make_apple_point(u + span * 0.5, v + span * 0.5) * scale);

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

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

	this->cam.begin();
	ofRotateZ(ofGetFrameNum() * 0.5);

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

	ofSetColor(239);
	this->mesh.drawWireframe();

	this->cam.end();
}

//--------------------------------------------------------------
glm::vec3 ofApp::make_apple_point(float u, float v) {

	// 数学デッサン教室 描いて楽しむ数学たち リンゴ局面 apple surface P.33 

	u *= DEG_TO_RAD;
	v *= DEG_TO_RAD;

	float x = (4 + 3.8 * cos(u)) * cos(v);
	float y = (4 + 3.8 * cos(u)) * sin(v);
	float z = -5 * log10(1 - 0.315 * u) + 5 * sin(u) + 2 * cos(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);

ofSetColor(39);

ofEnableDepthTest();

}

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

void ofApp::update() {

ofSeedRandom(39);

this->mesh.clear();

int span = 8;

int scale, index;

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

for (int u = -170; u < 250; u += span) {

auto noise_seed = (this->make_apple_point(u - span * 0.5, v - span * 0.5) + this->make_apple_point(u - span * 0.5, v + span * 0.5) + this->make_apple_point(u + span * 0.5, v + span * 0.5)) / 3;

auto noise_value = ofNoise(glm::vec4(noise_seed * 0.25, ofGetFrameNum() * 0.008));

scale = 30;

if (noise_value > 0.65) {

scale = ofMap(noise_value, 0.65, 1, 30, 50);

}

index = this->mesh.getNumVertices();

this->mesh.addVertex(this->make_apple_point(u - span * 0.5, v - span * 0.5) * scale);

this->mesh.addVertex(this->make_apple_point(u - span * 0.5, v + span * 0.5) * scale);

this->mesh.addVertex(this->make_apple_point(u + span * 0.5, v + span * 0.5) * scale);

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

noise_seed = (this->make_apple_point(u - span * 0.5, v - span * 0.5) + this->make_apple_point(u + span * 0.5, v - span * 0.5) + this->make_apple_point(u + span * 0.5, v + span * 0.5)) / 3;

noise_value = ofNoise(glm::vec4(noise_seed * 0.25, ofGetFrameNum() * 0.008));

scale = 30;

if (noise_value > 0.65) {

scale = ofMap(noise_value, 0.65, 1, 30, 50);

}

index = this->mesh.getNumVertices();

this->mesh.addVertex(this->make_apple_point(u - span * 0.5, v - span * 0.5) * scale);

this->mesh.addVertex(this->make_apple_point(u + span * 0.5, v - span * 0.5) * scale);

this->mesh.addVertex(this->make_apple_point(u + span * 0.5, v + span * 0.5) * scale);

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

}

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

void ofApp::draw() {

this->cam.begin();

ofRotateZ(ofGetFrameNum() * 0.5);

ofSetColor(39);

this->mesh.drawFaces();

ofSetColor(239);

this->mesh.drawWireframe();

this->cam.end();

}

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

glm::vec3 ofApp::make_apple_point(float u, float v) {

// 数学デッサン教室描いて楽しむ数学たちリンゴ局面 apple surface P.33

u *= DEG_TO_RAD;

v *= DEG_TO_RAD;

float x = (4 + 3.8 * cos(u)) * cos(v);

float y = (4 + 3.8 * cos(u)) * sin(v);

float z = -5 * log10(1 - 0.315 * u) + 5 * sin(u) + 2 * cos(u);

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

}

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

int main() {

ofSetupOpenGL(720, 720, OF_WINDOW);

ofRunApp(new ofApp());

}

[ Link ]
https://github.com/junkiyoshi/Insta20191210

2019年12月7日

Changing radius of torus. openFrameworks

[ Video ]

[ About ]
トーラスの小さいほうの半径を可変。

Changing radius of 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);
	ofEnableDepthTest();
}

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

	ofSeedRandom(39);
}

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

	this->cam.begin();
	ofRotateX(315);

	int gon = 36;
	int u_span = 360 / gon;

	ofMesh face, frame;
	for (int v = 0; v <= 360; v += 5) {

		int index = face.getNumVertices() - gon;
		auto noise_value = ofMap(ofNoise(200 * cos(v * DEG_TO_RAD) * 0.0065, 200 * sin(v * DEG_TO_RAD) * 0.0065, ofGetFrameNum() * 0.01), 0, 1, 0.5, 1.5);

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

			face.addVertex(this->make_point(200, 50 * noise_value, u, v));
			frame.addVertex(this->make_point(200, 51 * noise_value, u, v));
		}

		if (index > -1) {

			for (int g = 0; g < gon; g++) {

				face.addIndex(index + g); face.addIndex(index + (g + 1) % gon); face.addIndex(index + g + gon);
				face.addIndex(index + (g + 1) % gon + gon); face.addIndex(index + (g + 1) % gon); face.addIndex(index + g + gon);

				frame.addIndex(index + g); frame.addIndex(index + (g + 1) % gon); frame.addIndex(index + g + gon);
				frame.addIndex(index + (g + 1) % gon + gon); frame.addIndex(index + (g + 1) % gon); frame.addIndex(index + g + gon);
			}
		}
	}

	ofSetColor(239);
	face.drawFaces();

	ofSetColor(39);
	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());
}

#include "ofApp.h"

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

void ofApp::setup() {

ofSetFrameRate(60);

ofSetWindowTitle("openframeworks");

ofBackground(239);

ofEnableDepthTest();

}

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

void ofApp::update() {

ofSeedRandom(39);

}

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

void ofApp::draw() {

this->cam.begin();

ofRotateX(315);

int gon = 36;

int u_span = 360 / gon;

ofMesh face, frame;

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

int index = face.getNumVertices() - gon;

auto noise_value = ofMap(ofNoise(200 * cos(v * DEG_TO_RAD) * 0.0065, 200 * sin(v * DEG_TO_RAD) * 0.0065, ofGetFrameNum() * 0.01), 0, 1, 0.5, 1.5);

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

face.addVertex(this->make_point(200, 50 * noise_value, u, v));

frame.addVertex(this->make_point(200, 51 * noise_value, u, v));

}

if (index > -1) {

for (int g = 0; g < gon; g++) {

face.addIndex(index + g); face.addIndex(index + (g + 1) % gon); face.addIndex(index + g + gon);

face.addIndex(index + (g + 1) % gon + gon); face.addIndex(index + (g + 1) % gon); face.addIndex(index + g + gon);

frame.addIndex(index + g); frame.addIndex(index + (g + 1) % gon); frame.addIndex(index + g + gon);

frame.addIndex(index + (g + 1) % gon + gon); frame.addIndex(index + (g + 1) % gon); frame.addIndex(index + g + gon);

}

ofSetColor(239);

face.drawFaces();

ofSetColor(39);

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/Insta20191207

2019年12月3日2019年12月3日

Twisting. openFrameworks

[ Video ]

[ About ]
ねじれる輪。

Twisting.

[ 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);
	ofSetColor(39);
	ofEnableDepthTest();
}

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

	ofSeedRandom(39);
}

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

	this->cam.begin();

	int gon = 6;
	int u_span = 360 / gon;

	ofMesh face, frame;
	for (int v = 0; v <= 360; v += 10) {

		int index = face.getNumVertices() - gon;

		int u_start = ofMap(ofNoise(200 * cos(v * DEG_TO_RAD) * 0.0025, 200 * sin(v * DEG_TO_RAD) * 0.0025, ofGetFrameNum() * 0.008), 0, 1, 0, 360);
		for (int u = u_start; u < u_start + 360; u += u_span) {

			face.addVertex(this->make_point(200, 50, u, v));
			frame.addVertex(this->make_point(200, 51, u, v));
		}

		if (index > -1) {

			for (int g = 0; g < gon; g++) {

				face.addIndex(index + g); face.addIndex(index + (g + 1) % gon); face.addIndex(index + g + gon);
				face.addIndex(index + (g + 1) % gon + gon); face.addIndex(index + (g + 1) % gon); face.addIndex(index + g + gon);

				frame.addIndex(index + g); frame.addIndex(index + (g + 1) % gon); frame.addIndex(index + g + gon);
				frame.addIndex(index + (g + 1) % gon + gon); frame.addIndex(index + (g + 1) % gon); frame.addIndex(index + g + gon);
			}
		}
	}

	ofSetColor(239);
	face.drawFaces();

	ofSetColor(39);
	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());
}

#include "ofApp.h"

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

void ofApp::setup() {

ofSetFrameRate(60);

ofSetWindowTitle("openframeworks");

ofBackground(239);

ofSetColor(39);

ofEnableDepthTest();

}

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

void ofApp::update() {

ofSeedRandom(39);

}

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

void ofApp::draw() {

this->cam.begin();

int gon = 6;

int u_span = 360 / gon;

ofMesh face, frame;

for (int v = 0; v <= 360; v += 10) {

int index = face.getNumVertices() - gon;

int u_start = ofMap(ofNoise(200 * cos(v * DEG_TO_RAD) * 0.0025, 200 * sin(v * DEG_TO_RAD) * 0.0025, ofGetFrameNum() * 0.008), 0, 1, 0, 360);

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

face.addVertex(this->make_point(200, 50, u, v));

frame.addVertex(this->make_point(200, 51, u, v));

}

if (index > -1) {

for (int g = 0; g < gon; g++) {

face.addIndex(index + g); face.addIndex(index + (g + 1) % gon); face.addIndex(index + g + gon);

face.addIndex(index + (g + 1) % gon + gon); face.addIndex(index + (g + 1) % gon); face.addIndex(index + g + gon);

frame.addIndex(index + g); frame.addIndex(index + (g + 1) % gon); frame.addIndex(index + g + gon);

frame.addIndex(index + (g + 1) % gon + gon); frame.addIndex(index + (g + 1) % gon); frame.addIndex(index + g + gon);

}

ofSetColor(239);

face.drawFaces();

ofSetColor(39);

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/Insta20191203

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