Search Geometry Topics and Tools

2+ day, 8+ hour ago   (220+ words) Pascal’s triangle is the most famous triangular arrangement of numbers. I’ve written about other numerical triangles, such as Bell’s triangle and the trinomial triangle. There’s another well-known triangle that somehow I never heard of until recently: the harmonic triangle, first…...

1+ day, 10+ hour ago   (289+ words) G. D. Chakerian [1] discovered the following generalization of the Pythagorean theorem. Take any triangle and attach squares to each side. From each triangle vertex, extend a line perpendicular to the opposite side and extend the line through the square, as shown in…...

1+ day, 4+ hour ago   (153+ words) When I wrote about the harmonic triangle yesterday, I displayed the triangle left-aligned using fixed-width text because that was easier than producing the format you usually see for Pascal’s triangle and related triangles. I asked Claude to write a LaTeX…...

6+ day, 1+ hour ago   (18+ words) crOrigin – [in ]: Position of bottom left corner of plane dRadius – [in ]: Radius of circle rpResult – [out]: Resulting SmBrep...

3+ day, 21+ hour ago   (436+ words) This article will dive into the world of fractals, exploring their properties, how they are generated, and their presence in our world. Fractals are mathematical sets showing a repeating pattern that displays at every scale. They are known for their…...

5+ day, 19+ hour ago   (188+ words) Read the previous blog: The Equation That Broke My Brain (And the Elegance That Fixed It) Imagine wrapping a piece of rope tightly around the equator of the Earth. Now, imagine you want to lift that rope exactly one foot…...

5+ day, 22+ hour ago   (277+ words) Pythagoras is best known for the famous theorem that bears his name, one of the fundamental principles of geometry. However, far fewer know that the man behind it belonged to a tradition in which mathematics and magic were not always…...