SHOES! Glorious SHOES!

heel 1 |hēl|noun ~ the part of a shoe or boot supporting the heel : shoes with super high heels.
flat  |flat|
adjective ~ smooth and even; without marked lumps or indentations:  trim the surface of the cake to make it completely flat. (of shoes) without heels or with very low heels.

wedge |wej|noun ~ a shoe, typically having a fairly high heel, of which the heel and sole form a solid block, with no gap under the instep: not like a wedge of cheese.