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Grok 3 AI and Some Plane Geometry

4 pointsby graycat3 months ago
At Elon Musk&#x27;s Web site X, just saw their invitation to try their AI software:<p><pre><code> Grok 3 is here. Try it for free. The world&#x27;s smartest AI, Grok 3, is now available on X and iOS. Tap below to try. </code></pre> There is a lot on the Internet about how &#x27;smart&#x27; current AI is in general and also for math at<p><pre><code> https:&#x2F;&#x2F;epoch.ai&#x2F;frontiermath </code></pre> Okay, for a &quot;Try&quot;:<p>Given triangle ABC, by construction find D on AB and E on BC so that the lengths AD = DE = EC.<p>As a college freshman, solved this quickly using an idea I cooked up in 10th grade.<p>So, just gave the problem to Grok 3. At first, it did well restating the problem.<p>Then it tried, guessing at the length AD, using a compass to draw a circle, etc., and finally stated why that effort didn&#x27;t work, i.e., the guess for the length AD was just a guess and likely wrong.<p>Then did this ~4 more times.<p>Net, it quit and, thus, failed.<p>For the English language part, it did okay. For finding an idea that solved the problem, it never got started and failed.<p>An idea that solves the problem is likely not in the Grok 3 &#x27;training&#x27; set. So, Grok 3 is good at plagiarizing English text but not at &#x27;understanding&#x27; it.<p>Knuth&#x27;s program TeX is good at formating math. The text editor Kedit beats a typewriter for entering text. The program Aspell is good at checking English language spelling. A Brother printer is terrific at printing English language text. But none of these four have much hope at solving this geometry problem.<p>If Grok 3 failed at what I cooked up in the 10th grade, then there is not much hope soon for AI at<p><pre><code> https:&#x2F;&#x2F;epoch.ai&#x2F;frontiermath</code></pre>

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