Ceiling system having a plurality of different panels

1. A ceiling system for use in a building space having a plurality of walls, the ceiling system comprising:

a grid system that extends to at least two of the plurality of walls and separates the building space into an occupiable space below the grid system and a plenum space above the grid system; and

a plurality of ceiling tiles having a front face opposite a rear face, the plurality of ceiling tiles supported by the grid system; and

wherein the grid system and the plurality of ceiling tiles create a barrier between the occupiable space and the plenum space, the plurality of ceiling tiles including three different polygonal non-rectangular ceiling tiles; and wherein the front faces of each of the three different polygonal non-rectangular ceiling tiles are parallel.

2. The ceiling system of claim 1 , wherein the plenum space is a closed space.

3. The ceiling system of claim 1 , wherein a difference in the three different polygonal non-rectangular ceiling tiles is selected from shape, color, shade of the same color, size, and texture.

4. The ceiling system of claim 1 , wherein two of the three different ceiling tiles are different sizes of a first shape, and a third of the three different ceiling tiles is a second shape that is different from the first shape.

5. The ceiling system of claim 1 , wherein two of the three different ceiling tiles are different shades of a first color, and a third of the three different ceiling tiles is a second color that is different from the first color.

6. The ceiling system of claim 1 , wherein the front face of at least one ceiling tile faces the occupiable space and the back face faces the plenum space, and the front face and the back face are different colors.

7. The ceiling system of claim 1 , wherein a portion of the ceiling tiles are tegular ceiling tiles comprising a perimeter portion and a recess formed into the perimeter portion, the recess comprising:

a support surface that is parallel to the front face; and

an edge extending between the front face and the support surface;

wherein the front face, the edge, and the support surface are the same color.

8. The ceiling system of claim 1 , wherein the grid system has

a first main beam;

a second main beam parallel to the first main beam, the first and second main beams extending longitudinally in a main beam direction;

a field area having a plurality of field area cross members that attach to the main beams, the field area cross members intersecting the main beams at a first angle, the first angle being an acute angle; and

a perimeter area that surrounds the field area, the perimeter area having a plurality of perimeter area cross members that attach to the main beams, the perimeter area cross members intersecting the main beams at a second angle, the second angle and the first angle being different.

9. The ceiling system of claim 8 , wherein the second angle is a right angle.

10. The ceiling system of claim 8 , wherein all the perimeter area cross members are parallel to each other and all the field area cross members are parallel to each other.

11. A ceiling system for use in a building space, the ceiling system comprising:

a grid system that separates the building space into an occupiable space below the grid system and a plenum space above the grid system, the grid system comprising at least one main beam and at least one cross beam; and

a plurality of tegular ceiling tiles comprising a front face opposite a rear face, a perimeter portion, and a recess formed into the perimeter portion, the recess comprising a support surface that is parallel to the front face;

wherein the support surface of each of the plurality of tegular ceiling tiles rest on at least one of the main beam or the cross beam, and the front face of the plurality of tegular ceiling tiles face the occupiable space; and

wherein the grid system and the plurality of ceiling tiles create a barrier between the occupiable space and the plenum space, the plurality of ceiling tiles including three different polygonal non-rectangular ceiling tiles.

12. A ceiling system for use in a building space having a plurality of walls, the ceiling system comprising:

a grid system that extends to at least two of the plurality of walls and separates the building space into an occupiable space below the grid system and a plenum space above the grid system, the grid system having:

a first main beam;

a second main beam parallel to the first main beam, the first and second main beams extending longitudinally in a main beam direction;

a first cross member that interests the first main beam at a first location and intersects the second main beam at a second location; and

a second cross member that intersects the second main beam at a third location, the third location being offset from the second location along the main beam direction; and

a plurality of ceiling tiles that are supported by the grid system and, with the grid system, create a barrier between the occupiable space and the plenum space, the plurality of ceiling tiles includes three different polygonal non-rectangular ceiling tiles;

wherein all cross members that intersect the second main beam at the second location are on a side of the second main beam that faces the first main beam; and

at least one of the first cross member and the second cross member is at an acute angle relative to the main beam direction.

13. The ceiling system of claim 12 , wherein the plenum space is a closed space.

14. The ceiling system of claim 12 , wherein the second location is offset from the first location along the main beam direction and the first location and the third location are at the same location along the main beam direction.

15. The ceiling system of claim 12 , wherein two of the three different ceiling tiles are different sizes of a first shape, and a third of the three different ceiling tiles is a second shape that is different from the first shape.

16. The ceiling system of claim 12 , wherein two of the three different ceiling tiles are different shades of a first color, and a third of the three different ceiling tiles is a second color that is different from the first color.

17. The ceiling system of claim 12 , wherein the grid system has

a field area having a plurality of field area cross members that attach to the main beams, the field area cross members intersecting the main beams at a first angle, the first angle being an acute angle, and

a perimeter area that surrounds the field area, the perimeter area having a plurality of perimeter area cross members that attach to the main beams, the perimeter area cross members intersecting the main beams at a second angle, the second angle and the first angle being different.

18. The ceiling system of claim 12 , wherein one of the ceiling tiles has a front face that faces the occupiable space and a back face that faces the plenum space, and the front face and the back face are different colors.

19. The ceiling system of claim 12 , wherein a portion of the ceiling tiles are tegular ceiling tiles comprising a front face opposite a rear face, a perimeter portion and a recess formed into the perimeter portion, the recess comprising:

a support surface that is parallel to the front face; and

an edge extending between the front face and the support surface;

wherein the front face, the edge, and the support surface are the same color.