  This work presents an 808-line Matlab educational code for combined
multi-scale topology optimisation and phasor-based dehomogenisation titled
deHomTop808. The multi-scale formulation utilises homogenisation of optimal
microstructures to facilitate efficient coarse-scale optimisation.
Dehomogenisation allows for a high-resolution single-scale reconstruction of
the optimised multi-scale structure, achieving minor losses in structural
performance, at a fraction of the computational cost, compared to its
large-scale topology optimisation counterpart. The presented code utilises
stiffness optimal Rank-2 microstructures to minimise the compliance of a
single-load case problem, subject to a volume fraction constraint. By
exploiting the inherent efficiency benefits of the phasor-based
dehomogenisation procedure, on-the-fly dehomogenisation to a single-scale
structure is obtained. The presented code includes procedures for structural
verification of the final dehomogenised structure by comparison to the
multi-scale solution. The code is introduced in terms of the underlying theory
and its major components, including examples and potential extensions, and can
be downloaded from https://github.com/peterdorffler/deHomTop808.git.
