Spiral maps.

Given: "Heroes III".
Task: create a map consisting of 1/8 circle arcs.
Development environment: MS-DOS, Turbo C, Windows 95; Celeron 333.

To do this, you need to draw the circumference boundary and then create a map from it.
The program that calculates the circumference boundary:

/*   Radius   */

#include 
#include 

main ()
{
   int a, b, c, d;
   FILE *g;

   /*   a - radius, for which the calculation is performed
        b - maximum value, for which the square root is calculated
        c - counter
        d - calculated value of the circumference boundary   */

   g = fopen ("1.txt", "w");
   for (a = 1; a < 61; a++)   /*   outer radius 1/8 of the circle   */
   {
      b = a / sqrt (2) + 2;   /*   upper limit of calculations   */
      fprintf (g, "r = %i\n", a);
      for (c = 0; c < b; c++)
      {
	 if (c == a) break;
	 d = sqrt (a * a - c * c - .0001) + 1;
	 if (d < c) break;
	 if (d == a) continue;
	 fprintf (g, "%i - %i\n", c, d);
      }

      fprintf (g, "\n");
   }

   fclose (g);
}

As a result, a file is created containing the calculated boundaries of circles of various radii.
But the circle turns out to be uneven. After manual correction, the following is obtained:

r = 1

r = 2

r = 3

r = 4
3 - 3

r = 5
3 - 4

r = 6
4 - 5

r = 7
4 - 6
5 - 5

r = 8
4 - 7
5 - 7
6 - 6

r = 9
5 - 8
6 - 7

r = 10
5 - 9
6 - 9
7 - 8

Download map templates 3 - 12: yadi.sk/d/E7Bi8tVh3Xp2e9
Download the program for calculating radii: yadi.sk/d/0C1Ga-OX3Xp2zG
Download the file with calculated radii: yadi.sk/i/rWN_PXeC3Xp39B
The following map templates were obtained: