Geometry puzzles: Math with Bad Drawings

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SUMMARY

The discussion centers on geometry puzzles created by Catriona Shearer, specifically highlighting "The Tilted Twin" and the need for a hint system to enhance accessibility. Participants express difficulty in identifying starting points for solving the puzzles, suggesting that many solutions may rely more on algebraic trigonometry than on straightforward geometric principles. The consensus indicates that a hint system would significantly improve the user experience by making the puzzles more approachable.

PREREQUISITES
  • Understanding of basic geometry concepts
  • Familiarity with algebraic trigonometry
  • Knowledge of trigonometric functions and identities
  • Experience with problem-solving strategies in mathematics
NEXT STEPS
  • Research the implementation of hint systems in puzzle design
  • Explore algebraic trigonometry techniques for solving geometric problems
  • Learn about common trigonometric identities and their applications
  • Investigate user experience design principles for educational tools
USEFUL FOR

Mathematicians, educators, puzzle enthusiasts, and anyone interested in enhancing their problem-solving skills in geometry and algebraic trigonometry.

Keith_McClary
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Geometry puzzles at Math with Bad Drawings
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Yes, there are some puzzles. Though I think it would be good to have a hint system with individual drawings (so that each puzzle would become approachable for most people). For a good number of them I have difficulty in identifying how (or where) to start.

Still very good though (if I had to solve one I would try to find an easy one and try to solve that). A hint system would complement it even more.
 
Yikes. I get the distinct impression that the solutions are not in geometry but in algebraic trigonometry (or trigonometric algebra).

IOW, rather than answers like angle c = root (b+a)2 or somesuch that can be illustrated, it'll be angle c = cos(sin(a)/(cotan(b))) or someothersuch that can't be illustrated.
 

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