# Tag Archives: interference pattern

## 7- and 14-fold rotational symmetry from waves

Similarly as for 5 and 10-fold rotational symmetry, see “quasiperiodic design with five-fold rotational symmetry …“, we can create designs with 7 and 14-fold rotational symmetry. Here are some examples: In comparison we get here larger round, mandala-like motivs around … Continue reading

## Another design with ten-fold rotational symmetry from waves

For ten-fold rotational symmetry it is quite natural to begin with ten rhombs and angles of 36 degrees. This gives a larger rosette of rhombs than in the post before. The quasiperiodic design I get  depends strongly on the choice … Continue reading

## Using the wrong harmonics …

If we combine sinusoidal waves making a square pattern, f(x,y)=cos(kx)+cos(ky) with other waves of higher frequency g(x,y)=cos(a kx)+cos(a ky) we should use an integer ratio a between the frequencies to get again the same periodicity. If the ratio a is … Continue reading

## Quasiperiodic pattern from eight waves and the Ammann-Beenker tiling

Using four waves at right angles we get a periodic structure of fourfold symmetry. A square grid of the same periodicity is easily fitted to this structure. Now, together with an extra set of four waves rotated by 45 degrees … Continue reading