Bezier patches 3x3

Number of Triangle Strips = 2^x where x is the tesselation level

a tesselation level of 1 would have 2 tri strips.

Level 1 = 2¹ = 2 strips

Level 2 = 2² = 4 strips

Level 3 = 2³ = 8 strips

Level 4 = 2⁴ = 16 strips

Number of vertices per strip is equal to (2^y + 2) where y is equal to the level + 1

Level 1 = (2¹⁺¹ + 2) = (4 + 2) = 6 vertices per strip

Level 2 = (2²⁺¹ + 2) = (8 + 2) = 10 vertices per strip

Level 3 = (2³⁺¹ + 2) = (16 + 2) = 18 vertices per strip

Level 4 = (2⁴⁺¹ + 2) = (32 + 2) = 34 vertices per strip

Total vertices per path is equal to (strips * vertices per strip)

Level 1 = 6 * 2 = 12 vertices per patch

Level 2 = 10 * 4 = 40 vertices per patch

Level 3 = 18 * 8 = 144 vertices per patch

Level 4 = 34 * 16 = 544 vertices per patch

Rendering the patches

//Point is an array of 3 floats

int strips = pow(2, level);

for(i = 0; i < strips, i++)

{

glBegin(GL_TRIANGLE_STRIP);

for(j = 0; j < (pow(2, (level + 1)) + 2), j++)

{

glVertex3fv(points[((i*strips) + j)]);

}

glEnd();

}