Cube and Steps

Description

* This is a "Pen" project. This means the cubes are all drawn using Pen. There are no cube costumes. The cube rolls down the steps. This project uses code that rotates points around the X axis (or Z axis when the cube rolls along the steps). Before rotating the cube, we shift the edge of it has to rotate around to the X or Z axis. We rotate the cube then shift it back so that the edge being rotated around is back in its original position. Rather than letting the cube roll off the stage, we make it roll in the centre while the board moves. After a 180 degree roll, the cube would have shifted a distance equal to the length of one side in two directions. So we move the board the length of one side against each of these directions while the cube rolls 180 degrees. Finally, if the X axis was straight across the screen, the Y axis straight up the screen and the Z axis straight out from the screen then we would only see one face of the cube. The rotation was done with the cubes aligned with the X,Y and Z axes to keep the math "simple", but we then rotate the cube and board before drawing them so that we can see the 3D clearly. 3D Tutorial Studio: https://scratch.mit.edu/studios/5040029/ Polyhedron Studio: https://scratch.mit.edu/studios/5085215/ Pink Panther Theme Tune by Henry Mancini. Huge thanks to @TheLogFather for his Fast Triangle Fill custom block. Animation Tutorial Pen GIF

Instructions

Just watch or press a key to determine the direction for the cube to roll next. Arrow keys - <left>, <right>, <down>, <up> Key <c> - square combo