= Homothetic copy of a finite configuration
{title2=$a+tF,\quad t>0$}
= Homothetic copy
{synonym}
A <translation> and positive uniform scaling of a finite configuration $F$ in a <real vector space>. It preserves the ratios and directions of differences between its points. In an <integer lattice>, the <Gallai theorem for an integer lattice> guarantees a <monochromatic> <homothetic copy> of every finite pattern in any <finite colouring>, with <positive integer> scaling factor.
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