Print the Cantor Set using recursion in C - c

Question

I'm trying to print the Cantor Set to the console using 'x', but I'm stuck at the 2nd recursion which no matter what I do, just doesn't execute.
The Idea is to first initialize the matrix using clearP() so I don't have to worry about the whitespaces. After that I load the array with 'x' chars using the depth as a [y] value.
To remove the middle segment on each line I use secondLength and smallerLength. Now the reason to use 2 recursive calls is, that for example on depth 1 it removes the middle part once, on depth 2 twice, on depth 3 four times and so on. However I just can't get the 2nd recursion to execute, which is why my output looks like this.
Any advice where I'm making mistakes?
#include <stdio.h>
#include <math.h>
#define WIDTH 27
#define HEIGHT (int)(cbrt(WIDTH)+1)
void clearP(char p[WIDTH][HEIGHT]){
int x, y;
for(x = 0; x<WIDTH; x++){
for (y=0;y<HEIGHT;y++){
p[x][y] = ' ';
}
}
}
void printP(char p[WIDTH][HEIGHT]){
int x, y;
for(y = 0; y<HEIGHT; y++){
for (x=0;x<WIDTH;x++){
printf("%c",p[x][y]);
}
printf("\n");
}
}
void cantor(char p[WIDTH][HEIGHT],int start,int end, int depth){
int smallerLength = end / 3;
int secondStart = start + (smallerLength * 2);
for (int x = start; x<end ; x++){
p[x][depth] = 'x';
}
if (depth == HEIGHT){
return;
}
cantor(p, start, smallerLength, depth+1);
cantor(p, secondStart, smallerLength, depth+1);
}
int main(){
char canvas[WIDTH][HEIGHT];
clearP(canvas);
cantor(canvas, 0, WIDTH, 0);
printP(canvas);
}

Answer 1

I think you got your height and width mixed up in print.
try this
void printP(char p[WIDTH][HEIGHT]){
int x, y;
for(x = 0; x<HEIGHT; x++){
for (y=0;y<WIDTH;y++){
printf("%c",p[x][y]);
}
printf("\n");
}
}

Answer 2

A point in [0, 1] is in the Cantor set if it's ternary representation doesn't contain any 1's (that is, only 0's and 2's). This observation allows you to output the d-level representation by looking at the first d digits of the fractional part of i/n in base 3, without needing arrays.
#include <stdio.h>
void cantor(int n, int d) {
for (int i = 0; i < n; i++) {
int in = 1;
int x = i;
for (int j = 0; j < d; j++) {
in = in && !(3*x >= n && 3*x < 2*n);
x = (3*x)%n;
}
putchar(in ? 'x' : ' ');
}
putchar('\n');
}
int main(int argc, char *argv[]) {
for (int d = 0; d < 5; d++) {
cantor(81, d);
}
return 0;
}