Aydın Tiryaki and Gemini AI (2026)

Subject: Comparative Analysis of Three AI Models’ Reasoning Processes via a Matchstick Puzzle

Task: Please carefully read the three articles provided via the open links below. These articles document the performance, initial errors, user-guided evolution, and self-reflections of Gemini, ChatGPT, and Claude regarding the same visual logic puzzle (finding the smallest possible number from “895” by moving only two matchsticks).

Based on these sources, write a comprehensive analytical essay covering the following points:

1. Similarities in Initial Assumptions: What were the common “implicit rules” or cognitive biases (e.g., framing effects) that all models initially fell into?
2. Methodological and Behavioral Differences: Compare the models’ reactions to the user’s unconventional solution (-993). Which model showed more resistance, and which adapted more fluidly?
3. The Role of Human Intervention: Analyze how the intervention of Natural Intelligence (Aydın Tiryaki) served as a catalyst for the AI to transcend its standard algorithmic boundaries.
4. Conclusion and Insights: What does this experiment reveal about the current state of AI in terms of creative problem-solving and cognitive flexibility?

At the end of your analysis, provide a “References” section listing the titles and the open URLs of the three articles you analyzed.

Articles to be Analyzed:

• Article 1 (Gemini): The 895 Matchstick Challenge: Gemini’s Journey from Standard to Creative
  • Link: https://aydintiryaki.org/2026/02/09/the-895-matchstick-challenge-geminis-journey-from-standard-to-creative/
• Article 2 (ChatGPT): Analyzing an AI Reasoning Process Through a Matchstick Puzzle (ChatGPT)
  • Link: https://aydintiryaki.org/2026/02/09/analyzing-an-ai-reasoning-process-through-a-matchstick-puzzle-chatgpt/
• Article 3 (Claude): Artificial Intelligence and the Matchstick Puzzle: A Cognitive Process Analysis (Claude)
  • Link: https://aydintiryaki.org/2026/02/09/artificial-intelligence-and-the-matchstick-puzzle-a-cognitive-process-analysis-claude/

---

Note on Methods and Tools: All observations, ideas, and proposed solutions in this work belong solely to the author. During the writing process, under the author’s strategic direction and editorial oversight, the Gemini, ChatGPT, and Claude AI models were utilized as collective assistants for technical research, terminological verification, and editorial structuring. This multi-AI synergy was employed as a “collective writing methodology” to cross-validate data across different models and ensure the highest level of technical accuracy and clarity, as requested by the author.