[10 marks] Create an app that runs on an iOS device (you can assume at least iOS 12.0) with a single green cube shown in perspective projection.[10 marks] Modify the app so a double-tap toggles...

1. [10 marks] Create an app that runs on an iOS device (you can assume at least iOS 12.0) with a single green cube shown in perspective projection.








2. [10 marks] Modify the app so a double-tap toggles whether the cube continuously rotates about the y-axis.








3. [10 marks] Modify the app so when the cube is not rotating the user can rotate the cube about two axes using the touch interface (single finger drag).








4. [10 marks] Modify the app so when the cube is not rotating a “pinch” (two fingers moving closer or farther away from each other) zooms in and out of the cube.








5. [10 marks] Modify the app so when the cube is not rotating dragging with two fingers moves the cube around.








6. [10 marks] Add to the app a button that, when pressed, resets the cube to a default position of (0,0,0) with a default orientation.








7. [10 marks] Add to the app a label that continuously reports the position (x,y,z) and rotation (3 angles) of the cube.

The code must be written using only Objective-C or Swift and C++, and all files required to build and deploy the app must be provided.