@sabine
I have had a look. Cubic quat is like the Quaternion4D in Mandelbulber so I have just used it as a base.
So far I have just set up 4 enable checkBoxes to do an abs() on each axis, followed by Quaternion4D,
So now I can make all the xyzw combinations of abs().
This functions as a 3D quat if initialW = 0
This formula is using Delta DE (not Analytical DE)
From memory, this was best but I should revisit the decision to refresh my mind.
With Fragmentarium I would not no what equates to Delta DE ?? But I will have a look sometime soon.
Anyway it looks something like this for now.
bool AbsX etc
float initialW (-2.0, 0.0, 2.0 )
vec4 z = vec4( p3, initialW)
float X_twist; ( ?, 0, ?)
float Y_twist; ( ?, 0, ?)
slider scale1222 { 1.0, 2.0, 2.0, 0.0} maybe max min 5.0 -5.0
slider julia0000 { 0.0, 0.0, 0.0, 0.0} maybe max min 5.0 -5.0
slider scaleC1111 { 1.0, 1.0, 1.0, 1.0} maybe max min 5.0 -5.0
float initialC = z;
vec4 C = initialC * scaleC1111;
now iterate
if (AbsX) z.x = abs(z.x);
if (AbsY) z.y = abs(z.y);
if (AbsZ) z.z = abs(z.z);
if (AbsW) z.w = abs(z.w);
vec4 temp01 = z * scale1222;
CVector4 oldZ = z;
z.x = temp01.x * z.x - z.y * z.y - z.z * z.z - z.w * z.w
+ (C.y * X_twist);
z.y = temp01.y * oldZ.x + C.x * Y_twist;
z.z = temp01.z * oldZ.x;
z.w = temp01.w * oldZ.x; // +wadd;
z += C + julia0000;
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November 21, 2009, 10:11:28 PM
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