[Lex Computer & Tech Group/LCTG] Re. AI as a visual geometry problem solver

[Richard Wagner]

Just saw this emailed problem and accompanying thread, etc. I am in 
Bob's corner to the extent that the problem is not simple. Not enough 
information is given in the problem and assumptions must be made where 
different assumptions can be correct!

Is the object planar or are we seeing a 3D projection of it. If the 
latter, are we viewing it where one side is planar from our vantage? If 
the right side is planar to us, then the answer is 30 degrees from the 
law of sum of angles in a triangle and the angle at the bisection of the 
vertical line and horizontal line _appears_ to be  90 degrees. (From the 
Pythagorean Theorem {a squared + b squared = c squared}, the ratio of 
the sides is 1:square root of 3:2 for opposite sides of a 30:60:90 
degree triangle. I'll never forget this ratio and formula from high 
school /ad nauseam)./ If we're seeing the left triangle as a planar 
projection of a 3D object, the angle of the left triangle at the 
vertical/horizontal bisection must be 80 degrees for the given isosceles 
triangle. This leaves the angle on the other side of this bisection open 
to question. Naively, one would assume it to be 100 degrees, if one 
assumes the "horizontal" line to be straight, and x to therefore be 20 
degrees. However, one can't assume the bottom line to be horizontal if 
the object is a projection, and from the information given we can't 
determine angle at the vertical/horizontal bisection for the triangle on 
the right side of the projection.

Thus, I think the problem is unsolvable from the information given, and 
I'm not surprised that AI is confused and gave conflicting results. I 
agree with Olga: be cognizant to what AI is doing and don't summarily 
assume it is giving correct answers to your queries and conversations.

-Dick

On 2/21/2026 3:24 AM, Robert Primak via LCTG wrote:
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