# 205 geometry/tiling/scaling.p

## Description

This article is from the Puzzles FAQ,
by Chris Cole chris@questrel.questrel.com and Matthew Daly
mwdaly@pobox.com with numerous contributions by others.

# 205 geometry/tiling/scaling.p

A given rectangle can be entirely covered (i.e. concealed) by an

appropriate arrangement of 25 disks of unit radius.

Can the same rectangle be covered by 100 disks of 1/2 unit radius?

geometry/tiling/scaling.s

Yes. The same configuration of circles, when every distance is reduced

by half (including the diameters), will cover a similar rectangle whose

sides are one half of the original one. The original rectangle is the

union of four such rectangles.

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