diff --git a/:w:w b/:w:w
new file mode 100644
index 0000000..6ab6d42
--- /dev/null
+++ b/:w:w
@@ -0,0 +1,238 @@
+#include "fdf.h"
+
+t_fdf	*init_fdf(void);
+int		print_keycode(int keycode);
+int		shut_down(t_fdf *fdf);
+void	draw_pixel(t_fdf *fdf, int x, int y, int color);
+int		keypress(int keycode, t_fdf *fdf);
+void	rotation_state(t_fdf *fdf);
+int		**parse_map(t_fdf *fdf);
+
+// to be exact, use :
+//   fdf->img_sizel / (fdf->img_bpp / 8)
+// instead of :
+//   fdf->img_size_x
+void	draw_image(t_fdf *fdf)
+{
+	int i;
+	int j;
+	int x;
+	int y;
+	int z;
+	int new_x;
+	int new_y;
+
+	j = -1;
+	while (++j < fdf->map_size_y)
+	{
+		i = -1;
+		while (++i < fdf->map_size_x)
+		{
+			
+			x = i * fdf->offset;
+			y = j * fdf->offset;
+			z = fdf->map[j][i];
+			new_x = x * cos(fdf->rad_y) + y * sin(fdf->rad_y);
+			new_y = y * cos(fdf->rad_y) - x * sin(fdf->rad_y);
+			new_y = new_y * cos(fdf->rad_x) - z * sin(fdf->rad_x);
+			draw_pixel(fdf, new_x, new_y, 0xfff);
+		}
+	}
+	// put image on screen
+	mlx_put_image_to_window(fdf->mlx_ptr, fdf->win_ptr, fdf->img_ptr, 0, 0);
+	// put rotation on screen
+	rotation_state(fdf);
+}
+
+int		main(int ac, char **av)
+{
+	t_fdf	*fdf;
+
+	(void)av;
+	(void)ac;
+
+	fdf = init_fdf();
+	// receive a keypress event
+	mlx_hook(fdf->win_ptr, 2, 1L << 0, keypress, fdf);
+	// receive event when clicking the button to close the window
+	mlx_hook(fdf->win_ptr, 17, 1L << 17, shut_down, fdf);
+	// run window when no events occurs
+	mlx_loop(fdf->mlx_ptr);
+	return (0);
+}
+
+int		keypress(int keycode, t_fdf *fdf)
+{
+	if (keycode == ESCAPE)
+		shut_down(fdf);
+	else if (keycode == LEFT)
+		(fdf->rot_x) -= 1;
+	else if (keycode == RIGHT)
+		(fdf->rot_x) += 1;
+	else if (keycode == UP)
+		(fdf->rot_y) += 1;
+	else if (keycode == DOWN)
+		(fdf->rot_y) -= 1;
+	else
+		print_keycode(keycode);
+	// calculate radians
+	fdf->rad_x = fdf->rot_x * M_PI / 180;
+	fdf->rad_y = fdf->rot_y * M_PI / 180;
+	// draw image
+	draw_image(fdf);
+	return (0);
+}
+
+int		print_keycode(int keycode)
+{
+	ft_putnbr(keycode);
+	ft_putchar(' ');
+	return(0);
+}
+
+void	draw_pixel(t_fdf *fdf, int x, int y, int color)
+{
+	int position;
+
+	if (x < fdf->map_size_x && y < fdf->map_size_y)
+	{
+		position = y * fdf->img_sizel + x * fdf->img_bpp / 8;
+		*(unsigned int*)(fdf->img_addr + position) = color;
+	}
+}
+
+void	rotation_state(t_fdf *fdf)
+{
+	char	*position;
+	int		x;
+	int		y;
+
+	x = fdf->img_size_x - 10;
+	y = fdf->img_size_y - 10;
+	position = ft_strjoin(ft_itoa(fdf->rot_x), " | ");
+	position = ft_strjoin(position, ft_itoa(fdf->rot_y));
+	x -= ft_strlen(position) * 6;
+	mlx_string_put(fdf->mlx_ptr, fdf->win_ptr, x, y, 0xffffff, position);
+}
+
+t_fdf	*init_fdf(void)
+{
+	t_fdf	*fdf;
+
+	fdf = malloc(sizeof(t_fdf));
+	// map offset and margin
+	fdf->offset = 10;
+	fdf->margin = 50;
+	// parse map
+	fdf->map = parse_map(fdf);
+	// size window
+	fdf->win_size_x = fdf->map_size_x + 2 * fdf->margin;
+	fdf->win_size_y = fdf->map_size_y + 2 * fdf->margin;
+	// size image
+	fdf->img_size_x = fdf->win_size_x;
+	fdf->img_size_y = fdf->win_size_y;
+	// view rotation
+	fdf->rot_x = 0;
+	fdf->rot_y = 0;
+	// init connexion to server
+	fdf->mlx_ptr = mlx_init();
+	// create the window
+	fdf->win_ptr = mlx_new_window(fdf->mlx_ptr, fdf->win_size_x, fdf->win_size_y, "test");
+	// create image
+	fdf->img_ptr = mlx_new_image(fdf->mlx_ptr, fdf->img_size_x, fdf->img_size_y);
+	fdf->img_addr = mlx_get_data_addr(fdf->img_ptr, &(fdf->img_bpp), &(fdf->img_sizel), &(fdf->img_endian));
+	// draw image
+	draw_image(fdf);
+	return (fdf);
+}
+
+int	**parse_map(t_fdf *fdf)
+{
+	int	**map;
+	int	i;
+	int	j;
+
+	map = ft_calloc(10, sizeof(map));
+	i = -1;
+	while (++i < 10)
+	{
+		map[i] = ft_calloc(15, sizeof(*map));
+		j = -1;
+		while(++j < 15)
+			map[i][j] = 0;
+	}
+	map[3][6] = 10;
+	// size map
+	fdf->map_size_x = --j * fdf->offset + 1;
+	fdf->map_size_y = --i * fdf->offset + 1;
+	return (map);
+}
+
+int		shut_down(t_fdf *fdf)
+{
+	mlx_destroy_window(fdf->mlx_ptr, fdf->win_ptr);
+	exit(0);
+	free(fdf);
+	return (0);
+}
+
+/*
+** w forward	119
+** a left		97
+** s backward	115
+** d right		100
+** <			65361
+** >			65363
+** v			65364
+** ^			65362
+** esc			65307
+**
+**
+**
+**
+**
+**
+**
+**
+**
+**		// x_event |   x_mask | action
+**		//       2 |  1L << 0 | key press
+**		//       3 |  1L << 1 | key release
+**		//       4 |          | mouse press
+**		//       5 |          | mouse release
+**		//       6 |          | mouse move
+**		//      12 |          | expose event
+**		//      17 | 1L << 17 | x button press (red button)
+**		//         |          |
+**
+**
+**
+** FONCTIONS EXTERNES AUTORISEES :
+** . open
+** . close
+** . read
+** . write
+** . malloc
+** . free
+** . perror
+** . strerror
+** . exit
+** . math lib :
+**    -lm         // needed at compilation to link the lib :
+**                   gcc foo.c -o foo -lm
+**    man
+**    man 3 math
+** . minilibx :
+**    minilibx_opengl.tgz
+**    minilibx_mms_20200219_beta.tgz
+**    // to open an archive.tgz :
+**       gzip -d archive.tgz     --> turn it into archive.tar
+**       tar -xf archive.tar     --> un-archive it
+**    // how to add a man directory to the manual :
+**       . cp man/man1 /usr/local/share/man/man1
+**         (create man1 if necessary)
+**       . mandb
+**   // i didn't use any of both library above but the one for linux :
+**      https://github.com/42Paris/minilibx-linux
+**      there are pbm with their man pages
+*/
diff --git a/builds/fdf.o b/builds/fdf.o
index 5fbeb16..3230bf8 100644
Binary files a/builds/fdf.o and b/builds/fdf.o differ
diff --git a/fdf b/fdf
index a8ef8b7..e4e55b9 100755
Binary files a/fdf and b/fdf differ
diff --git a/includes/fdf.h b/includes/fdf.h
index 06bd10e..8aadf9b 100644
--- a/includes/fdf.h
+++ b/includes/fdf.h
@@ -4,6 +4,7 @@
 # include "../libft/includes/libft.h"
 # include <mlx.h>
 # include <unistd.h>	// for sleep()
+# include <math.h>		// for M_PI
 
 # define ESCAPE			65307
 # define UP				65362
@@ -11,28 +12,30 @@
 # define LEFT			65361
 # define RIGHT			65363
 
-typedef struct		s_fdf
+typedef struct	s_fdf
 {
-	void			*mlx_ptr;
-	void			*win_ptr;
-	void			*img_ptr;
-	char			*img_addr;
-	int				**map;
-	int				offset;
-	int				margin;
-	int				win_size_x;
-	int				win_size_y;
-	int				img_size_x;
-	int				img_size_y;
-	int				map_size_x;
-	int				map_size_y;
-	int				map_length;
-	int				map_height;
-	int				rot_x;
-	int				rot_y;
-	int				img_bpp;
-	int				img_sizel;
-	int				img_endian;
-}					t_fdf;
+	void		*mlx_ptr;
+	void		*win_ptr;
+	void		*img_ptr;
+	char		*img_addr;
+	int			**map;
+	int			offset;
+	int			margin;
+	int			win_size_x;
+	int			win_size_y;
+	int			img_size_x;
+	int			img_size_y;
+	int			map_size_x;
+	int			map_size_y;
+	int			map_length;
+	int			map_height;
+	int			rot_x;
+	int			rot_y;
+	double		rad_x;
+	double		rad_y;
+	int			img_bpp;
+	int			img_sizel;
+	int			img_endian;
+}				t_fdf;
 
 #endif
diff --git a/srcs/fdf.c b/srcs/fdf.c
index 2506d15..f681212 100644
--- a/srcs/fdf.c
+++ b/srcs/fdf.c
@@ -1,4 +1,5 @@
 #include "fdf.h"
+#include <stdio.h>
 
 t_fdf	*init_fdf(void);
 int		print_keycode(int keycode);
@@ -10,19 +11,36 @@ int		**parse_map(t_fdf *fdf);
 
 void	draw_image(t_fdf *fdf)
 {
-	int	x;
-	int	y;
+	int i;
+	int j;
+	int x;
+	int y;
+	int z;
+	int new_x;
+	int new_y;
 
-	y = 0;
-	while (y < fdf->img_size_y)
+	// init image with 0
+	i =-1;
+	while (++i < fdf->img_size_y * fdf->img_sizel)
+		*(unsigned int*)(fdf->img_addr + i) = 0;
+	// draw image
+	j = -1;
+	while (++j < fdf->map_size_y)
 	{
-		x = 0;
-		while ((x * fdf->img_bpp / 8) < fdf->img_sizel)
+		i = -1;
+		while (++i < fdf->map_size_x)
 		{
-			draw_pixel(fdf, x, y, 0xffffff);
-			x += fdf->offset;
+			
+			x = i * fdf->offset;
+			y = j * fdf->offset;
+		//	z = fdf->map[j][i];
+			z = 1;
+			new_x = x * cos(fdf->rad_y) + y * sin(fdf->rad_y);
+			new_y = y * cos(fdf->rad_y) - x * sin(fdf->rad_y);
+			new_y = new_y * cos(fdf->rad_x) - z * sin(fdf->rad_x);
+			new_x += 100;
+			draw_pixel(fdf, new_x, new_y, 0xffffff);
 		}
-		y += fdf->offset;
 	}
 	// put image on screen
 	mlx_put_image_to_window(fdf->mlx_ptr, fdf->win_ptr, fdf->img_ptr, 0, 0);
@@ -61,6 +79,9 @@ int		keypress(int keycode, t_fdf *fdf)
 		(fdf->rot_y) -= 1;
 	else
 		print_keycode(keycode);
+	// calculate radians
+	fdf->rad_x = fdf->rot_x * M_PI / 180;
+	fdf->rad_y = fdf->rot_y * M_PI / 180;
 	// draw image
 	draw_image(fdf);
 	return (0);
@@ -77,6 +98,8 @@ void	draw_pixel(t_fdf *fdf, int x, int y, int color)
 {
 	int position;
 
+	if (x < 0 || y < 0 || x > fdf->img_sizel || y > fdf->map_size_y)
+		return ;
 	position = y * fdf->img_sizel + x * fdf->img_bpp / 8;
 	*(unsigned int*)(fdf->img_addr + position) = color;
 }
@@ -89,7 +112,7 @@ void	rotation_state(t_fdf *fdf)
 
 	x = fdf->img_size_x - 10;
 	y = fdf->img_size_y - 10;
-	position = ft_strjoin(ft_itoa(fdf->rot_x), " | ");
+	position = ft_strjoin(ft_itoa(fdf->rot_x), ft_strdup(" | "));
 	position = ft_strjoin(position, ft_itoa(fdf->rot_y));
 	x -= ft_strlen(position) * 6;
 	mlx_string_put(fdf->mlx_ptr, fdf->win_ptr, x, y, 0xffffff, position);