// IFMP Serie 9 Aufgabe Challenge
// Programme: polyflake.cpp draws a "flake", you can choose the start
// regular polygon and the one you'll draw on every side (works "regularly"
// only for integer internal angles smaller than 180)
// Recommended values: 10, 10, 4 (decagon mandala)
// Author: Nicola Nesa, Gruppe I
#include
#include
// side >= 2
// POST: the word w_i^F is drawn
void f (const unsigned int i, const unsigned side) {
if (i == 0)
ifm::forward();
else {
f(i-1, side);
ifm::left((side-2)*180/side);
f(i-1, side);
for (unsigned int k=1; k<=(side-2); ++k)
{
ifm::right(180-(side-2)*180/side);
f(i-1, side);
}
ifm::left((side-2)*180/side);
f(i-1, side);
}
}
int main () {
std::cout << "Number of sides of start regular polygon =? ";
unsigned int start;
std::cin >> start;
std::cout << "Number of sides of the side regular polygon =? ";
unsigned int side;
std::cin >> side;
std::cout << "Number of iterations =? ";
unsigned int n;
std::cin >> n;
for (unsigned int k=1; k<=start; ++k)
{
f(n, side);
ifm::left(180-(start-2)*180/start);
}
return 0;
}
// for values 1, 3, >=5 : SMO symbol
// for values 6 (or else), 3, >=5 : snowflake like snowflake.cpp (but starting from an
// hexagon and not from a triangle, going inwards and not outwards)
// for values 3, 3, >=5 : particular case of a snowflake
// for values 2, 5, >=5 : teddybear
// for values >=5, 4, >=5 : crossed star
// for values 4, 5, >=5 : square with arrows
// for values 10, 10, >=4 : mandala
// ...
// QUESTION: WHAT DOES THE IMAGE TEND TO, FOR START, SIDE, N TENDING TO INFINITE?
// POSSIBLE ANSWER: A DARK CIRCLE? (WITH A HOLE IN THE MIDDLE?)
// QUESTION: WHAT DOES THE IMAGE TEND TO, FOR (START OR SIDE) AND N TENDING TO INFINITE
// AND THE OTHER ONE FIXED?
// ANNOTATION: THIS PROGRAMME ALWAYS CONVERGES, BUT OTHER ONES SEEM NOT TO: THEY
// HAVE VERY DIFFERENT OUTPUTS DEPENDING ON THE NUMBER OF ITERATIONS (see teddybear.cpp)
