A practical approach is to first process the data by ignoring the presence of any asymmetric component, thus just exploiting the symmetric properties of the structure. Since a symmetrized reconstruction will be used at each iteration, determination of the orientation and centre for each particle is expected to be sufficiently accurate, under the assumption that the additional component only minimally affects such determination. Once the icosahedral reconstruction does not improve after further iterations, you can follow the following procedure:
auto start_map
auto start_map_even
auto start_map_odd
auto symm_code 53
2auto hollow_map 0
auto hollow_in_rad
auto hollow_out_rad
auto hollow_auto 0
auto flatten_map 0
po2r mode ticos_equiv
po2r ncenter 0
po2r res_max 40
auto freeze_res 1
p3dr symm_code 1
auto freeze_res 0
po2r mode local
po2r symm_code 1
po2r ncenter 4
auto flatten_map 1
(optional)auto res_max