[joncrane]

So what are the 4 tricks?

Kickflip, heelflip, flip + shove it in the "natural direction" (e.g. varial kickflip, 360 kickflip), and flip + shove it in the unnatural direction (e.g. hard flip)?

[fokinsean]

I'm guessing it's kickflip, heelflip, bs shuv, and fs shuv.

Your definition leaves out varial heels and inward heels.

Edit: On second thought I'm still not sure, I saw this in the paper, and I'm guessing they're classifying both direction shuvs as the same, and kick/heelflip as the same

Below we list these four tricks with their corresponding residue class in Z/4Z.

0 ↔ Ollie

1 ↔ 180 Shove-it

2 ↔ 360 Shove-it

3 ↔ 540 Shove-it

Another interesting choice of representatives is given by a combination of the shove-it and the kickflip.

0 ↔ Ollie

1 ↔ 180 Shove-it

2 ↔ Kickflip

3 ↔ Varial Kickflip

[kevinventullo]

The main result of the paper seems to be saying that kickflips and heelflips are homotopic, and therefore equivalent. Fs shove it is just the inverse of a pop shove it.

[cj_f]

How is a 360 shove it not equal to an ollie? and a 540 shuv it equivalent to a 180 shove it?

[joncrane]

Maybe the four tricks are:

Ollie

Any Shove it/varial with no flip

Any Flip with no shove it

Any flip + shove it combo

?