Eigenmodes for the Laplace Operator on model geometries



Rank of displayed eigenvalues Rank of displayed eigenvectors
Triangle of area 1  to   to 
Triangle of area 4  to   to 
Triangle of area 16  to   to 
Triangle with a rotated triangular hole  to   to 
Hexagon  to   to 
Set of 3 hexagons  to   to 
Set of 3 hexagons with 1 internal Dirichlet condition  to   to 
Set of 4 hexagons  to   to 
Set of 4 hexagons with 1 internal Dirichlet condition  to   to 
Ring of 6 hexagons  to   to 
Hexagon with a rotated hexagonal hole  to   to 
Set of 7 hexagons  to   to 
Set of 7 hexagons with 3 internal Dirichlet conditions  to   to 
Set of 7 hexagons with 4 internal Dirichlet conditions  to   to 
Set of 7 hexagons with 5 internal Dirichlet conditions  to   to 
Set of 7 hexagons with 5 internal Dirichlet conditions  to   to 
Set of 7 hexagons with 7 internal Dirichlet conditions  to   to 
Set of 7 hexagons with 4 internal Dirichlet conditions  to   to 
Set of 7 hexagons with 9 internal Dirichlet conditions  to   to 
Set of 7 hexagons with 6 internal Dirichlet conditions  to   to 
Set of 7 hexagons with 8 internal Dirichlet conditions  to   to 
Set of 7 hexagons with 6 internal Dirichlet conditions  to   to 
Set of 7 hexagons with 6 internal Dirichlet conditions  to   to 
Set of 7 hexagons with 5 internal Dirichlet conditions  to   to 
Set of 19 hexagons  to   to 
Set of 19 hexagons with 12 internal Dirichlet conditions  to   to 
Set of 19 hexagons with 15 internal Dirichlet conditions  to   to 
Set of 19 hexagons with 20 internal Dirichlet conditions  to   to 
Set of 19 hexagons with 20 internal Dirichlet conditions  to   to 
Set of 19 hexagons with 16 internal Dirichlet conditions  to   to 
Set of 19 hexagons with 16 internal Dirichlet conditions  to   to 
Set of 19 hexagons with 18 internal Dirichlet conditions  to   to