/
hexeract_008.pde
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hexeract_008.pde
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// see: https://en.wikipedia.org/wiki/6-cube
// Hexeract_008
// by Rupert Russell
// 15 June 2019
float[] outerX = new float[13];
float[] outerY = new float[13];
float[] innerX = new float[13];
float[] innerY = new float[13];
float[] secondInnerX = new float[26];
float[] secondInnerY = new float[26];
float[] thirdInnerX = new float[13];
float[] thirdInnerY = new float[13];
int count = 0;
int es = 20; // small ellipse size
float outerRadius = 400;
float innerRadius = 107;
float secondInnerRadius = 208;
float thirdInnerRadius = 293;
void setup() {
background(255);
size(900, 900);
smooth(8);
noLoop();
strokeWeight(3);
}
void draw() {
translate(width/2, height/2);
double step = 2 * PI/12;
double secondInnerStep = 2 * PI/24;
for (float theta=0; theta < 2 * PI; theta += step) {
float x = outerRadius * cos(theta);
float y = outerRadius * sin(theta);
fill(255, 0, 0);
outerX[count] = x;
outerY[count] = y;
count = count + 1;
print(count);
}
// Locate innermost 24 points
count = 0;
for (float theta=0; theta < 2 * PI; theta += step) {
float x = innerRadius * cos(theta);
float y = innerRadius * sin(theta);
fill(255, 0, 0);
innerX[count] = x;
innerY[count] = y;
count = count+ 1;
}
// Locate second innermost 12 points
count = 0;
for (float theta=0; theta < 2 * PI; theta += secondInnerStep) {
float x = secondInnerRadius * cos(theta);
float y = secondInnerRadius * sin(theta);
fill(255, 0, 0);
secondInnerX[count] = x;
secondInnerY[count] = y;
count = count+ 1;
}
// Locate second innermost 12 points
count = 0;
for (float theta=0; theta < 2 * PI; theta += step) {
float x = thirdInnerRadius * cos(theta);
float y = thirdInnerRadius * sin(theta);
fill(255, 0, 0);
thirdInnerX[count] = x;
thirdInnerY[count] = y;
count = count+ 1;
}
// Draw outermost circumference
for (int count = 0; count < 12; count = count + 1) {
line(outerX[count], outerY[count], outerX[count + 1], outerY[count + 1]);
}
line(outerX[0], outerY[0], outerX[7], outerY[7]);
line(outerX[2], outerY[2], outerX[7], outerY[7]);
line(outerX[1], outerY[1], outerX[6], outerY[6]);
line(outerX[3], outerY[3], outerX[10], outerY[10]);
line(outerX[5], outerY[5], outerX[10], outerY[10]);
line(outerX[2], outerY[2], outerX[9], outerY[9]);
line(outerX[4], outerY[4], outerX[9], outerY[9]);
line(outerX[3], outerY[3], outerX[8], outerY[8]);
line(outerX[1], outerY[1], outerX[8], outerY[8]);
line(outerX[4], outerY[4], outerX[11], outerY[11]);
line(outerX[6], outerY[6], outerX[11], outerY[11]);
line(outerX[0], outerY[0], outerX[5], outerY[5]);
// inner lines
for (int count = 0; count < 5; count = count + 1) {
line(innerX[count], innerY[count], innerX[count + 7], innerY[count + 7]);
line(innerX[count], innerY[count], innerX[count + 5], innerY[count + 5]);
}
line(innerX[5], innerY[5], innerX[5 + 5], innerY[5 + 5]);
line(innerX[6], innerY[6], innerX[6 + 5], innerY[6 + 5]);
// secondInner lines
for (int count = 3; count < 20; count = count + 4) {
line(secondInnerX[count], secondInnerY[count], secondInnerX[count + 4], secondInnerY[count + 4]);
}
line(secondInnerX[3], secondInnerY[3], secondInnerX[23], secondInnerY[23]);
for (int count = 1; count < 20; count = count + 4) {
line(secondInnerX[count], secondInnerY[count], secondInnerX[count + 4], secondInnerY[count + 4]);
}
line(secondInnerX[21], secondInnerY[21], secondInnerX[1], secondInnerY[1]);
for (int count = 1; count < 12; count = count + 2) {
line(secondInnerX[count], secondInnerY[count], secondInnerX[count + 12], secondInnerY[count + 12]);
}
//guidelines
//line(outerX[8], outerY[8], outerX[11], outerY[11]);
//line(outerX[8], outerY[8], outerX[5], outerY[5]);
//line(outerX[2], outerY[2], outerX[5], outerY[5]);
//line(outerX[2], outerY[2], outerX[11], outerY[11]);
//line(outerX[7], outerY[7], outerX[10], outerY[10]);
//line(outerX[7], outerY[7], outerX[4], outerY[4]);
//line(outerX[4], outerY[4], outerX[2], outerY[2]);
//line(outerX[1], outerY[1], outerX[10], outerY[10]);
line(thirdInnerX[1], thirdInnerY[1], outerX[0], outerY[0]);
line(thirdInnerX[11], thirdInnerY[11], outerX[0], outerY[0]);
line(thirdInnerX[1], thirdInnerY[1], innerX[0], innerY[0]);
line(thirdInnerX[11], thirdInnerY[11], innerX[0], innerY[0]);
line(thirdInnerX[0], thirdInnerY[0], outerX[1], outerY[1]);
line(thirdInnerX[2], thirdInnerY[2], outerX[1], outerY[1]);
line(thirdInnerX[2], thirdInnerY[2], innerX[1], innerY[1]);
line(thirdInnerX[0], thirdInnerY[0], innerX[1], innerY[1]);
line(thirdInnerX[1], thirdInnerY[1], outerX[2], outerY[2]);
line(thirdInnerX[3], thirdInnerY[3], outerX[2], outerY[2]);
line(thirdInnerX[3], thirdInnerY[3], innerX[2], innerY[2]);
line(thirdInnerX[1], thirdInnerY[1], innerX[2], innerY[2]);
line(thirdInnerX[4], thirdInnerY[4], outerX[3], outerY[3]);
line(thirdInnerX[2], thirdInnerY[2], outerX[3], outerY[3]);
line(thirdInnerX[4], thirdInnerY[4], innerX[3], innerY[3]);
line(thirdInnerX[2], thirdInnerY[2], innerX[3], innerY[3]);
line(thirdInnerX[5], thirdInnerY[5], outerX[4], outerY[4]);
line(thirdInnerX[3], thirdInnerY[3], outerX[4], outerY[4]);
line(thirdInnerX[3], thirdInnerY[3], innerX[4], innerY[4]);
line(thirdInnerX[5], thirdInnerY[5], innerX[4], innerY[4]);
line(thirdInnerX[4], thirdInnerY[4], outerX[5], outerY[5]);
line(thirdInnerX[6], thirdInnerY[6], outerX[5], outerY[5]);
line(thirdInnerX[4], thirdInnerY[4], innerX[5], innerY[5]);
line(thirdInnerX[6], thirdInnerY[6], innerX[5], innerY[5]);
line(thirdInnerX[5], thirdInnerY[5], outerX[6], outerY[6]);
line(thirdInnerX[7], thirdInnerY[7], outerX[6], outerY[6]);
line(thirdInnerX[5], thirdInnerY[5], innerX[6], innerY[6]);
line(thirdInnerX[7], thirdInnerY[7], innerX[6], innerY[6]);
line(thirdInnerX[6], thirdInnerY[6], outerX[7], outerY[7]);
line(thirdInnerX[8], thirdInnerY[8], outerX[7], outerY[7]);
line(thirdInnerX[6], thirdInnerY[6], innerX[7], innerY[7]);
line(thirdInnerX[8], thirdInnerY[8], innerX[7], innerY[7]);
line(thirdInnerX[7], thirdInnerY[7], outerX[8], outerY[8]);
line(thirdInnerX[9], thirdInnerY[9], outerX[8], outerY[8]);
line(thirdInnerX[7], thirdInnerY[7], innerX[8], innerY[8]);
line(thirdInnerX[9], thirdInnerY[9], innerX[8], innerY[8]);
line(thirdInnerX[8], thirdInnerY[8], outerX[9], outerY[9]);
line(thirdInnerX[10], thirdInnerY[10], outerX[9], outerY[9]);
line(thirdInnerX[8], thirdInnerY[8], innerX[9], innerY[9]);
line(thirdInnerX[10], thirdInnerY[10], innerX[9], innerY[9]);
line(thirdInnerX[9], thirdInnerY[9], outerX[10], outerY[10]);
line(thirdInnerX[11], thirdInnerY[11], outerX[10], outerY[10]);
line(thirdInnerX[11], thirdInnerY[11], innerX[10], innerY[10]);
line(thirdInnerX[9], thirdInnerY[9], innerX[10], innerY[10]);
line(thirdInnerX[0], thirdInnerY[0], outerX[11], outerY[11]);
line(thirdInnerX[10], thirdInnerY[10], outerX[11], outerY[11]);
line(thirdInnerX[0], thirdInnerY[0], innerX[11], innerY[11]);
line(thirdInnerX[10], thirdInnerY[10], innerX[11], innerY[11]);
line(thirdInnerX[3], thirdInnerY[3], outerX[2], outerY[2]);
line(thirdInnerX[3], thirdInnerY[3], outerX[4], outerY[4]);
// ---
line(thirdInnerX[8], thirdInnerY[8], thirdInnerX[11], thirdInnerY[11]);
line(thirdInnerX[11], thirdInnerY[11], thirdInnerX[2], thirdInnerY[2]);
line(thirdInnerX[8], thirdInnerY[8], thirdInnerX[11], thirdInnerY[11]);
line(thirdInnerX[5], thirdInnerY[5], thirdInnerX[2], thirdInnerY[2]);
line(thirdInnerX[5], thirdInnerY[5], thirdInnerX[8], thirdInnerY[8]);
line(thirdInnerX[7], thirdInnerY[7], thirdInnerX[10], thirdInnerY[10]);
line(thirdInnerX[10], thirdInnerY[10], thirdInnerX[1], thirdInnerY[1]);
line(thirdInnerX[1], thirdInnerY[1], thirdInnerX[4], thirdInnerY[4]);
line(thirdInnerX[4], thirdInnerY[4], thirdInnerX[7], thirdInnerY[7]);
line(thirdInnerX[5], thirdInnerY[5], thirdInnerX[8], thirdInnerY[8]);
line(thirdInnerX[8], thirdInnerY[8], thirdInnerX[11], thirdInnerY[11]);
line(thirdInnerX[11], thirdInnerY[11], thirdInnerX[2], thirdInnerY[2]);
line(thirdInnerX[2], thirdInnerY[2], thirdInnerX[5], thirdInnerY[5]);
line(thirdInnerX[9], thirdInnerY[9], thirdInnerX[0], thirdInnerY[0]);
line(thirdInnerX[0], thirdInnerY[0], thirdInnerX[3], thirdInnerY[3]);
line(thirdInnerX[3], thirdInnerY[3], thirdInnerX[6], thirdInnerY[6]);
line(thirdInnerX[6], thirdInnerY[6], thirdInnerX[9], thirdInnerY[9]);
fill(255, 0, 0);
for (int count = 0; count < 12; count = count + 1) {
ellipse(outerX[count], outerY[count], es, es);
}
fill(255,0,0);
for (int count = 0; count < 12; count = count + 1) {
ellipse(innerX[count], innerY[count], es, es);
}
fill(255, 127, 0);
for (int count = 1; count < 24; count = count + 2) {
ellipse(secondInnerX[count], secondInnerY[count], es, es);
}
fill(255, 0, 0);
for (int count = 0; count < 12; count = count + 1) {
ellipse(thirdInnerX[count], thirdInnerY[count], es, es);
}
fill(255, 255, 0);
ellipse(0, 0, es, es);
save("hexeract_008.png");
}