As Penrose patterns can be built up out of two different types of rhombuses
, so the spatial versions of the Penrose patterns can be constructed from different rhombic polyhedrons or rhombohedrons.
If the letters of the L edge word read upwards 54321 (see Rhombuses above), the transposed letters of the R edge word conform to one of 5 permutations (both the last letter and the initial letter being predetermined).
With 5 letters, the edge words of rhombuses cannot be tautonyms.
three different-sized rectangles, rhombuses, or parallellograms), and each person in the group should get his or her own cutout with which to work.
Then have the groups that worked with rhombuses report their results.
Others may be able to use the relationships between rhombuses and triangles to figure out how many triangles cover the shape.
They then fill the outline with the fewest blocks possible and record their results (seven blue rhombuses would be used in the problem shown in fig.
ILLUSTRATION OMITTED] How many rhombuses
like this [ILLUSTRATION OMITTED] does it take to cover the hexagon?