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Least perimeter partition of the disc into N bubbles of two different areas
2019
The European Physical Journal E : Soft matter
We present conjectured candidates for the least perimeter partition of a disc into N ≤ 10 connected regions which take one of two possible areas. We assume that the optimal partition is connected and enumerate all three-connected simple cubic graphs for each N . Candidate structures are obtained by assigning different areas to the regions: for even N there are N/2 bubbles of one area and N/2 bubbles of the other, and for odd N we consider both cases, i.e. in which the extra bubble takes either
doi:10.1140/epje/i2019-11857-0
fatcat:uq4jzm2zd5dqbpzuhvrqpommjq