Illusions
Some Illusions, created as SVG file:looks like a wave
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looks like a streched inner quad
How to build it
For the first image, we constuct first a set of full parts ( █ ). Full parts are on xy position modolo 3. In the inner quad, the y orientation is just flipped. see private boolean set().█ • • █ • • █ • • █ • • █ • • █ • • █ • • █ •
• █ • • █ • • █ • • █ • • █ • • █ • • █ • • █
• • █ • • █ • • █ • • █ • • █ • • █ • • █ • •
█ • • █ • • █ • • █ • • █ • • █ • • █ • • █ •
• █ • • █ • • █ • • █ • • █ • • █ • • █ • • █
• • █ • • █ • • █ • • █ • • █ • • █ • • █ • •
█ • • █ • • • █ • • █ • • █ • • █ • █ • • █ •
• █ • • █ • █ • • █ • • █ • • █ • • • █ • • █
• • █ • • █ • • █ • • █ • • █ • • █ • • █ • •
█ • • █ • • • █ • • █ • • █ • • █ • █ • • █ •
• █ • • █ • █ • • █ • • █ • • █ • • • █ • • █
• • █ • • █ • • █ • • █ • • █ • • █ • • █ • •
█ • • █ • • • █ • • █ • • █ • • █ • █ • • █ •
• █ • • █ • █ • • █ • • █ • • █ • • • █ • • █
• • █ • • █ • • █ • • █ • • █ • • █ • • █ • •
█ • • █ • • • █ • • █ • • █ • • █ • █ • • █ •
• █ • • █ • █ • • █ • • █ • • █ • • • █ • • █
• • █ • • █ • • █ • • █ • • █ • • █ • • █ • •
█ • • █ • • █ • • █ • • █ • • █ • • █ • • █ •
• █ • • █ • • █ • • █ • • █ • • █ • • █ • • █
• • █ • • █ • • █ • • █ • • █ • • █ • • █ • •
█ • • █ • • █ • • █ • • █ • • █ • • █ • • █ •
• █ • • █ • • █ • • █ • • █ • • █ • • █ • • █
Next we look at empty spaces. Depending on the environment (up,down,left,right) we add 4 quater Boxes (└ ┐ ┌ ┘) or 4 half boxes (║ ═ ─ │) or keep the space (•).
█ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └
┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █
└ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐
█ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └
┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █ └ ┐ █
└ ┐ █ └ ┐ █ • ║ █ • ║ █ • ║ █ • ║ █ └ ┐ █ └ ┐
█ └ ┐ █ └ • ┘ █ ┌ ┘ █ ┌ ┘ █ ┌ ┘ █ ─ █ └ ┐ █ └
┐ █ └ ┐ █ ═ █ ┌ ┘ █ ┌ ┘ █ ┌ ┘ █ ┌ • ┐ █ └ ┐ █
└ ┐ █ └ ┐ █ ┌ ┘ █ ┌ ┘ █ ┌ ┘ █ ┌ ┘ █ └ ┐ █ └ ┐
█ └ ┐ █ └ • ┘ █ ┌ ┘ █ ┌ ┘ █ ┌ ┘ █ ─ █ └ ┐ █ └
┐ █ └ ┐ █ ═ █ ┌ ┘ █ ┌ ┘ █ ┌ ┘ █ ┌ • ┐ █ └ ┐ █
└ ┐ █ └ ┐ █ ┌ ┘ █ ┌ ┘ █ ┌ ┘ █ ┌ ┘ █ └ ┐ █ └ ┐
█ └ ┐ █ └ • ┘ █ ┌ ┘ █ ┌ ┘ █ ┌ ┘ █ ─ █ └ ┐ █ └
┐ █ └ ┐ █ ═ █ ┌ ┘ █ ┌ ┘ █ ┌ ┘ █ ┌ • ┐ █ └ ┐ █
└ ┐ █ └ ┐ █ ┌ ┘ █ ┌ ┘ █ ┌ ┘ █ ┌ ┘ █ └ ┐ █ └ ┐
█ └ ┐ █ └ • ┘ █ ┌ ┘ █ ┌ ┘ █ ┌ ┘ █ ─ █ └ ┐ █ └
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package optillu;
import java.io.FileNotFoundException;
import java.io.PrintWriter;
import java.io.UnsupportedEncodingException;
/**
*
* @author Rolf
*/
public class OptIllu {
int DX; // outer X/Y
int IX; // inner X/Y
private final int X;
private final int Y;
private final int DY;
private final char ch = ' ';
private char board[][] = null;
private final char SymUpperLeft = '┌';
private final char SymUpperRight = '┐';
private final char SymLowerLeft = '└';
private final char SymLowerRight = '┘';
private final char SymLeft = '│';
private final char SymRight = '║';
private final char SymFull = '█';
private final char SymLower = '═';
private final char SymUpper = '─';
private final char SymFree = '•';
private StringBuffer sb = null;
private boolean set(int x, int y) {
// set the main full chars here
int probe = x + y * Y;
if (x >= DX && x < X - DX && y >= DY && y < Y - DY) // flip result
{
probe = x + (Y - y + 2) * Y;
}
return (probe % 3 == 0);
}
public void disp() {
// just display the created board
for (int y = 0; y < Y; y++) {
for (int x = 0; x < X; x++) {
System.out.print(board[x][y]+" ");
}
System.out.println();
}
}
private boolean isSet(int x, int y) {
// check, if at given position the board is set
if (x >= 0 && x < X && y >= 0 && y < Y) {
return board[x][y] == SymFull;
}
if (x < 0) {
return (isSet(x + 3, y));
}
if (y < 0) {
return (isSet(x, y + 3));
}
if (x >= X) {
return (isSet(x - 3, y));
}
if (y >= Y) {
return (isSet(x, y - 3));
}
return false;
}
private char getFill(int x, int y) {
// get the fill chars between the full set
// check upper,lower,left,right position and setup cnt
// 4
// 1 32 2
// 8
int cnt = 0;
if (isSet(x - 1, y)) {
cnt = 1;
}
if (isSet(x + 1, y)) {
cnt = cnt + 2;
}
if (isSet(x, y - 1)) {
cnt = cnt + 4;
}
if (isSet(x, y + 1)) {
cnt = cnt + 8;
}
if (isSet(x, y)) {
cnt = 32;
}
switch (cnt) {
case 1:
case 2:
case 4:
case 8:
return SymFree;
case 5:
return SymUpperLeft;
case 6:
return SymUpperRight;
case 9:
return SymLowerLeft;
case 10:
return SymLowerRight;
case 13:
return SymLeft;
case 14:
return SymRight;
case 7:
return SymUpper;
case 11:
return SymLower;
case 32:
return SymFull;
}
return '?';
}
private void fill() {
// try to setup free positions between full fill chars
for (int y = 0; y < Y; y++) {
for (int x = 0; x < X; x++) {
board[x][y] = getFill(x, y);
}
}
}
// constutor method
public OptIllu(int DX, int IX) {
// intialize our board
this.DX = DX;
this.IX = IX;
X = DX + DX + IX;
Y = X;
DY = DX;
board = new char[X][Y];
for (int y = 0; y < Y; y++) {
for (int x = 0; x < X; x++) {
if (set(x, y)) {
board[x][y] = SymFull;
} else {
board[x][y] = '•';
}
}
}
disp();
fill();
}
// append all to stringbuffer, which is finally saved
private void out(String s) {
sb.append(s);
}
private void box(int x, int y, int dx, String color, String color2, boolean orienation) {
out(" <rect x=\"" + ((dx + dx) * x) + "\" y=\"" + (dx + dx) * y + "\" width=\"" + (dx + dx) + "\" height=\"" + (dx + dx) + "\" fill=" + color + " />\n");
if (!orienation) {
out(" <rect x=\"" + ((dx + dx) * x + 1) + "\" y=\"" + ((dx + dx) * y + 1) + "\" width=\"" + (dx / 2) + "\" height=\"" + (dx / 2) + "\" fill=" + color2 + " />\n");
out(" <rect x=\"" + ((dx + dx) * (x + 1) - dx/2 -1) + "\" y=\"" + ((dx + dx) * (y + 1) - dx/2 -1 ) + "\" width=\"" + (dx / 2) + "\" height=\"" + (dx / 2) + "\" fill=" + color2 + " />\n");
} else {
out(" <rect x=\"" + ((dx + dx) * (x + 1) - dx/2 -1) + "\" y=\"" + ((dx + dx) * y + 1) + "\" width=\"" + (dx / 2) + "\" height=\"" + (dx / 2) + "\" fill=" + color2 + " />\n");
out(" <rect x=\"" + ((dx + dx) * x + 1) + "\" y=\"" + ((dx + dx) * (y + 1) - dx/2 -1) + "\" width=\"" + (dx / 2) + "\" height=\"" + (dx / 2) + "\" fill=" + color2 + " />\n");
}
}
public void createSVG(int opt) {
sb = new StringBuffer();
String color = "\"black\"";
String color2 = "\"yellow\"";
int dx = 10;
out("<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n");
out("<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"" + (dx + dx) * X + "\" height=\"" + (dx + dx) * Y + "\">\n");
out(" <rect x=\"0\" y=\"0\" width=\"" + (dx + dx) * X + "\" height=\"" + (dx + dx) * X + "\" fill=" + color2 + " />\n");
for (int y = 0; y < Y; y++) {
for (int x = 0; x < X; x++) {
if (opt == 1) {
//if ((x==DX || x==X-DX-1) && (y == DY|| y== Y-DY-1)); else
switch (board[x][y]) {
case SymUpperLeft:
out(" <rect x=\"" + ((dx + dx) * x) + "\" y=\"" + (dx + dx) * y + "\" width=\"" + dx + "\" height=\"" + dx + "\" fill=" + color + " />\n");
break;
case SymUpperRight:
out(" <rect x=\"" + ((dx + dx) * x + dx) + "\" y=\"" + (dx + dx) * y + "\" width=\"" + dx + "\" height=\"" + dx + "\" fill=" + color + " />\n");
break;
case SymLowerLeft:
out(" <rect x=\"" + ((dx + dx) * x) + "\" y=\"" + ((dx + dx) * y + dx) + "\" width=\"" + dx + "\" height=\"" + dx + "\" fill=" + color + " />\n");
break;
case SymLowerRight:
out(" <rect x=\"" + ((dx + dx) * x + dx) + "\" y=\"" + ((dx + dx) * y + dx) + "\" width=\"" + dx + "\" height=\"" + dx + "\" fill=" + color + " />\n");
break;
case SymLower:
out(" <rect x=\"" + ((dx + dx) * x) + "\" y=\"" + ((dx + dx) * y + dx) + "\" width=\"" + (dx + dx) + "\" height=\"" + dx + "\" fill=" + color + " />\n");
break;
case SymUpper:
out(" <rect x=\"" + ((dx + dx) * x) + "\" y=\"" + ((dx + dx) * y) + "\" width=\"" + (dx + dx) + "\" height=\"" + dx + "\" fill=" + color + " />\n");
break;
case SymLeft:
out(" <rect x=\"" + ((dx + dx) * x) + "\" y=\"" + (dx + dx) * y + "\" width=\"" + dx + "\" height=\"" + (dx + dx) + "\" fill=" + color + " />\n");
break;
case SymRight:
out(" <rect x=\"" + ((dx + dx) * x + dx) + "\" y=\"" + ((dx + dx) * y) + "\" width=\"" + dx + "\" height=\"" + (dx + dx) + "\" fill=" + color + " />\n");
break;
case SymFull:
out(" <rect x=\"" + ((dx + dx) * x) + "\" y=\"" + (dx + dx) * y + "\" width=\"" + (dx + dx) + "\" height=\"" + (dx + dx) + "\" fill=" + color + " />\n");
break;
}
}
if (opt == 2) {
if ((x == DX || x == Y - DX - 1) && (y >= DY && y < Y - DY)
|| (y == DY || y == X - DY - 1) && (x >= DX && x < X - DX)) {
// inner Border
if ((x + y) % 2 == 0) {
box(x, y, dx, color, color, false);
}
} else {
boolean orienation = (x > DX && x < X - DX && y > DY && y < Y - DY);
if ((x + y) % 2 == 0) {
box(x, y, dx, color, color2, orienation);
} else {
box(x, y, dx, color2, color, orienation);
}
}
}
}
}
if (opt == 1) {
for (int y = 0; y < Y; y++) {
out(" <line x1=\"0\" y1=\"" + y * (dx + dx) + "\" x2=\"" + X * (dx + dx) + "\" y2=\"" + y * (dx + dx) + "\" style=\"stroke:blue;stroke-width:0.7\"/>\n");
}
for (int x = 0; x < X; x++) {
out(" <line y1=\"0\" x1=\"" + x * (dx + dx) + "\" y2=\"" + X * (dx + dx) + "\" x2=\"" + x * (dx + dx) + "\" style=\"stroke:rgb(255,0,0);stroke-width:0.7\"/>\n");
}
}
out("</svg>\n");
}
private void saveSVG(String fn) throws FileNotFoundException, UnsupportedEncodingException {
// just save it
PrintWriter writer = new PrintWriter(fn, "UTF-8");
writer.println(sb.toString());
writer.close();
}
// main entry
public static void main(String[] args) throws FileNotFoundException, UnsupportedEncodingException {
System.out.println("Start to create board");
OptIllu o = new OptIllu(5, 13);
o.disp();
o.createSVG(1);
o.saveSVG("a.svg");
o = new OptIllu(6, 12);
o.createSVG(2);
o.saveSVG("b.svg");
}
}
