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phyllotaxis-flutter's Introduction

Phyllotaxis Patterns

$\qquad$É um padrão produzido por plantas estudado tanto por biólogos quanto por matemáticos a fim de descrever o arranjo. $\qquad$Aqui o modelo apresentado é baseado no angulo de Fibonacci $\approx360.5°$, com isso e muitos outros estudos para este exemplo foi utilizado a seguinte formula: $$\phi = n*137.75,\qquad r=c\sqrt{n}$$

drawing


Biblioteca utilizada

$\qquad$Para essa representação gráfica foi utilizado o framework Flutter com a biblioteca Flutter Processing. A seleção da linguagem foi devido ao interesse e necessidade de treinar a aplicar os conhecimentos adquiridos sobre a linguagem.

Lógica

//O valor n determina o tamanho do padrão
final n=100;
//O loop é efeito para desenhar os pontos
for (int i = 0; i < n; i++) {
    final double angle = i * (137.5 / 360) * (2 * pi);
    final double radius = c * sqrt(i);
    //passando a coordenada polar para o plano cartesiano
    final double x = radius * cos(angle);
    final double y = radius * sin(angle);

O arquivo com o código pode ser acessado por este link: main.dart

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