Nas when waking up in the morning I hear all time such weird sounds of silence and there is a kind of feeling cold and I have sand in my mouth… probably I have also Problems that I become green…maybe something’s not okay
Calculate the side length (s) of the hexagon: Since the width and height of the rectangle are equal (W = H), the side length of the hexagon can be calculated as follows: s = W / (1 + 2 * cos(30°))
Determine the height (h) of the hexagon: h = s * sqrt(3) / 2
Calculate the coordinates of the hexagon’s vertices. Let the top-left corner of the rectangle be the origin (0, 0). The hexagon’s vertices can be calculated as follows: A (0.5 * s, 0)
B (1.5 * s, 0)
C (2 * s, h)
D (1.5 * s, 2 * h)
E (0.5 * s, 2 * h)
F (0, h)
Check if the point (x, y) is inside the hexagon by dividing the hexagon into six triangles, formed by connecting each pair of consecutive vertices to the center of the hexagon (O). The coordinates of the center can be calculated as: O (s, h)
For each triangle (AOB, BOC, COD, DOE, EOF, FOA), check if the point (x, y) is inside the triangle using the following method:
Calculate the area of the triangle using the coordinates of its vertices.
Calculate the area of the three triangles formed by the point (x, y) and each pair of consecutive vertices of the triangle.
If the sum of the areas of the three triangles is equal to the area of the original triangle, the point (x, y) is inside the triangle.
If the point (x, y) is inside any of the six triangles, it is inside the hexagon. Otherwise, it is outside the hexagon.