A wax burning system comprising: a) a melted wax reservoir; b) a melting grate configured to receive a solid wax, the melting grate located above at least a portion of the melted wax reservoir so that wax melted on the melting grate can be received into the melted wax reservoir; c) a wick (110, 117, 130, 340, 350, 360, 370, 406a) comprising c1) a perimeter wall, c2) a hollow core (112, 172, 346, 356, 366, 376) and an upper exit opening in communication with the hollow core (112, 172, 346, 356, 366, 376), the hollow core (112, 172, 346, 356, 366, 376) forming a burn chamber extending above the melting grate, wherein the hollow core (112, 172, 346, 356, 366, 376) is sized to stage vapor phase fuel below a flame adjacent the upper exit opening to create a partially oxygen deprived condition at the flame on the wick (110, 117, 130, 340, 350, 360, 370, 406a), characterized in that c3) the wick (110, 117, 130, 340, 350, 360, 370, 406a) comprises a bridge (19, 21, 111, 113, 129, 341, 355a, 361a, 375a, 406b) made of a wick material, wherein the bridge (19, 21, 111, 113, 129, 341, 355a, 361a, 375a, 406b) has a first end and a second end, the first end joins with a first portion of the perimeter wall, the second end joins with a second portion of the perimeter wall, the bridge (19, 21, 111, 113, 129, 341, 355a, 361a, 375a, 406b) extends across the hollow core (112, 172, 346, 356, 366, 376) between the first and second portion of the perimeter wall. a) a melted wax reservoir; b) a melting grate configured to receive a solid wax, the melting grate located above at least a portion of the melted wax reservoir so that wax melted on the melting grate can be received into the melted wax reservoir; c) a wick (110, 117, 130, 340, 350, 360, 370, 406a) comprising c1) a perimeter wall, c2) a hollow core (112, 172, 346, 356, 366, 376) and an upper exit opening in communication with the hollow core (112, 172, 346, 356, 366, 376), the hollow core (112, 172, 346, 356, 366, 376) forming a burn chamber extending above the melting grate, wherein the hollow core (112, 172, 346, 356, 366, 376) is sized to stage vapor phase fuel below a flame adjacent the upper exit opening to create a partially oxygen deprived condition at the flame on the wick (110, 117, 130, 340, 350, 360, 370, 406a), characterized in that c3) the wick (110, 117, 130, 340, 350, 360, 370, 406a) comprises a bridge (19, 21, 111, 113, 129, 341, 355a, 361a, 375a, 406b) made of a wick material, wherein the bridge (19, 21, 111, 113, 129, 341, 355a, 361a, 375a, 406b) has a first end and a second end, the first end joins with a first portion of the perimeter wall, the second end joins with a second portion of the perimeter wall, the bridge (19, 21, 111, 113, 129, 341, 355a, 361a, 375a, 406b) extends across the hollow core (112, 172, 346, 356, 366, 376) between the first and second portion of the perimeter wall. c1) a perimeter wall, c2) a hollow core (112, 172, 346, 356, 366, 376) and an upper exit opening in communication with the hollow core (112, 172, 346, 356, 366, 376), the hollow core (112, 172, 346, 356, 366, 376) forming a burn chamber extending above the melting grate, wherein the hollow core (112, 172, 346, 356, 366, 376) is sized to stage vapor phase fuel below a flame adjacent the upper exit opening to create a partially oxygen deprived condition at the flame on the wick (110, 117, 130, 340, 350, 360, 370, 406a), characterized in that c3) the wick (110, 117, 130, 340, 350, 360, 370, 406a) comprises a bridge (19, 21, 111, 113, 129, 341, 355a, 361a, 375a, 406b) made of a wick material, wherein the bridge (19, 21, 111, 113, 129, 341, 355a, 361a, 375a, 406b) has a first end and a second end, the first end joins with a first portion of the perimeter wall, the second end joins with a second portion of the perimeter wall, the bridge (19, 21, 111, 113, 129, 341, 355a, 361a, 375a, 406b) extends across the hollow core (112, 172, 346, 356, 366, 376) between the first and second portion of the perimeter wall.