Single wheel self-balancing vehicle with tire permitting carving motion

A single wheel, self-balancing vehicle, comprising:

• a platform for supporting a standing rider;
• and
• a motorized wheel assembly that is rotationally coupled to the platform and is powered to transport a rider standing on the platform along a ground surface, wherein the motorized wheel assembly includes a tire that has a tire body with a tread configured for engagement with the ground surface,
• wherein the tread has a lateral profile having a central region, a first lateral region tapering towards a first lateral side of the tire, and a second lateral region tapering towards a second lateral side of the tire, wherein the lateral profile is substantially free of discontinuity, wherein, when the platform and the ground surface are level horizontally, a contact patch between the tire and the travel surface extends along a width of the central region,
• the tread having a tread groove arrangement that is asymmetrical about a central circumference line of the tire,
• the tire having a hardness selected to substantially prevent deformation of the first profile and the second profile during riding by a rider,
• wherein the tread groove arrangement comprises a first pattern of grooves on a first side of and adjacent the central circumference line and a second pattern of grooves on a second side of and adjacent the central circumference line,
• wherein the first pattern of grooves includes a plurality of first lateral grooves each of which extends from the central circumference line continuously laterally through the central region into the first lateral region,
• wherein the second pattern of grooves includes a plurality of second lateral grooves each of which extends from the central circumference line continuously laterally through the central region into the first lateral region, and
• wherein the first lateral grooves are circumferentially off-phase from the second lateral grooves.