Is there anything strange about the path of this ball? Recreate it on the isometric grid. Class 8

Is there anything strange about the path of this ball? Recreate it on the isometric grid. Class 8

Question 1.

Is there anything strange about the path of this ball? Recreate it on the isometric grid. Class 8

[Hint : Consider a portion of this figure that is physically realisable and identify the 3 primary directions.]

Solution:

The path starts from upper surface along length axis, then moves to depth axis, then moves to height axis, then length axis, then height axis, then depth axis and finally along the length axis on the same upper surface.

Question 2.

Observe this triangle. Class 8

(i) Would it be possible to build a model out of actual cubes? What are the front, top, and side profiles of this impossible triangle?

(ii) Recreate this on an isometric grid.

(iii) Why does the illusion work?

Solution:

(i) Yes. Front, top and side profiles are as follows :

(ii) Note : Do as directed.

(iii) The illusion works because it tricks our mind perception of depth and perspective, showing parts that seem to recede and approach simultaneously, creating a paradox where each corner looks fine alone, but impossible together, against our assumption that all parts of a 3D object are at the same distance, while its 2D drawing provides contradictory depth indication.