Built a 21' trebuchet from scrap in the mountains. Not having internet, I had only this book as my guide. The most helpful parts were the 2 historical drawings.
22
Tetrahedral
Independently proved the tetrahedral angle. Learning basic chemistry at the same time I was taking precalc, I became intrigued by the tetrahedral angle. I then independently developed a proof.
23
Huffman
Dissatisfied with simply making a huffman coder to strings of 1s and 0s, I asked my professor if I could encode bytes to a file. With permission, I made a huffman coder that could take any file and huffman code and decode it.
Collaborated with pure mathematician. My friend Sam asked me to do a sanity check on his paper. Checking the converging series to a million terms involved one million factorial.
27
Furniture
Having recently moved I needed new furniture. I gathered some scrap wood and used my limited tools and carpentry skills to furnish my room.
30
Intelligence
Applying for jobs, one asked me to take an IQ test. To get practice, I wrote a little program to generate problems for myself.