Comments, see the journal Further rotations in 4D-space [link]

Below the parameter file. Play and have fun

BlackMandyFlower2-Plane2 {
fractal:
title="BlackMandyFlower2-Plane2" width=640 height=480 layers=1
credits="Ingvar Kullberg;3/12/2008"
layer:
method=multipass caption="M+" opacity=100
mapping:
center=0.3/-0.2946965502282526517181 magn=3.9196393E11
formula:
maxiter=50000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="2.(a-real,b-real)" p_M=M+ p_SetBorders=no p_hide=no
p_areal=0.3 p_aimag=0 p_breal=-0.2946965502282526517181
p_bimag=0.694630400237246078435 p_xrot=0 p_yrot=0 p_xrott=0
p_yrott=0 p_zrot=0 p_LocalRot=no p_diff=no p_bailout=100
p_dbailout=1E-6
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes rotation=-122 index=72 color=16644095 index=126
color=10350079 index=184 color=2447359 index=-112 color=1514272
index=-82 color=15794175 index=-75 color=1910049
opacity:
smooth=no index=0 opacity=255
}