一个qt/c++ demo,用于显示 Hexagonal Gosper Curve（六角高斯波曲线） 分形图

#include <QtWidgets>
#include <QPainter>

class HexagonalGosperCurve : public QWidget {
public:
    HexagonalGosperCurve(QWidget *parent = nullptr) : QWidget(parent) {

        QPixmap pixmap("https://upload.wikimedia.org/wikipedia/commons/thumb/9/9c/Heighway_Hexagonal_Gosper_curve.gif/220px-Heighway_Hexagonal_Gosper_curve.gif");

        setFixedSize(600, 600);
        setWindowTitle("Hexagonal Gosper Curve（六角高斯波曲线）");

        image = QImage(size(), QImage::Format_RGB32);
        image.fill(Qt::white);

        drawHexagonalGosperCurve();

        label = new QLabel(this);
        label->setPixmap(pixmap.scaledToWidth(400));
        label->move(100, 450);
    }

private:
    QImage image;
    QLabel* label;

    void drawHexagonalGosperCurve(int n = 4, double size = 200.0, double x = 300.0, double y = 300.0, double angle = 0.0) {
        if (n == 0) {
            return;
        }

        double cos60 = cos(M_PI / 3);
        double sin60 = sin(M_PI / 3);

        double x1 = x + size * cos(angle);
        double y1 = y + size * sin(angle);

        double x2 = x1 + size * cos(angle + M_PI / 3);
        double y2 = y1 + size * sin(angle + M_PI / 3);

        double x3 = x2 + size * cos(angle - M_PI / 3);
        double y3 = y2 + size * sin(angle - M_PI / 3);

        double x4 = x3 + size * cos(angle - M_PI);
        double y4 = y3 + size * sin(angle - M_PI);

        double x5 = x4 + size * cos(angle - M_PI - M_PI / 3);
        double y5 = y4 + size * sin(angle - M_PI - M_PI / 3);

        double x6 = x5 + size * cos(angle - M_PI + M_PI / 3);
        double y6 = y5 + size * sin(angle - M_PI + M_PI / 3);

        drawHexagonalGosperCurve(n - 1, size / sqrt(7.0), x, y, angle);
        drawHexagonalGosperCurve(n - 1, size / sqrt(7.0), x1, y1, angle + M_PI / 3);
        drawHexagonalGosperCurve(n - 1, size / sqrt(7.0), x2, y2, angle + M_PI / 3);
        drawHexagonalGosperCurve(n - 1, size / sqrt(7.0), x3, y3, angle - M_PI / 3);
        drawHexagonalGosperCurve(n - 1, size / sqrt(7.0), x4, y4, angle - M_PI);
        drawHexagonalGosperCurve(n - 1, size / sqrt(7.0), x5, y5, angle - M_PI - M_PI / 3);
        drawHexagonalGosperCurve(n - 1, size / sqrt(7.0), x6, y6, angle - M_PI + M_PI / 3);

        QPainter painter(&image);
        painter.setRenderHint(QPainter::Antialiasing, true);
        painter.setPen(Qt::black);
        painter.drawLine(x, y, x1, y1);
        painter.drawLine(x1, y1, x2, y2);
        painter.drawLine(x2, y2, x3, y3);
        painter.drawLine(x3, y3, x4, y4);
        painter.drawLine(x4, y4, x5, y5);
        painter.drawLine(x5, y5, x6, y6);
    }

    void paintEvent(QPaintEvent* /* event */) {
        QPainter painter(this);

        painter.drawImage(0, 0, image);

        painter.end();
    }
};

int main(int argc, char *argv[]) {
    QApplication app(argc, argv);

    HexagonalGosperCurve window;
    window.show();

    return app.exec();
}