Tag Archives: Geometry

Designing a Gothic Trefoil in FreeCAD

I’ve been interested in the Tracery in Gothic Cathedrals –  the delicate patterns in stone walls and windows – for years. In this post, I show you how to design of one type of Gothic ornament, using FreeCAD. You can follow along with the FreeCAD file on Cults3D, or you can use your favorite CAD application, such as Autodesk Fusion 360.

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Geometry, Gothic Architecture, Rose Windows, and Christmas Ornaments

(first published on Needhamia.com in 2007)

I find the rose windows of Gothic cathedrals awe-inspiring. From the rigid formalism of Chartres to the flamboyant explosion of Tours, their marriage of geometry, philosophy, and aesthetics with stone and glass is awesome. Built at a time when science and spirit weren’t as divided as today, each window is a statement of the beauty, order, and harmony in the world. Using only a pair of compasses (dividers) and a straight-edge (an unmarked ruler), the Gothic architects created myriad lace-like designs, making stone hang in the air and glass sing.

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My First 3D Printed Sundial

I’ve been interested in sundials for ages. Tracking the sun’s path by observing the shadow of a stick is an ancient form of astronomy, and a gateway into geometry (literally “land measurement”).

A sundial often marks the solstices and equinoxes, and enables measurement of the cardinal directions of north, south, east, and west: at the peak of its daily journey through the sky, the sun throws a north-south shadow; on the equinoxes, the shadow of the sun draws an east-west line. Ancient sundials acted as calendars, showing precisely when the sun returned to a given spot in its annual journey from south to north and back again.

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Dog Weight Scale, Part 1: Cutting the Circular Base

I want to learn how to use Load Sensors to continuously weigh stuff with an Arduino, so I thought it would be fun to continuously weigh our dog, Pippa, while she sleeps in her bed each night. The project is a little like Nate Seidle’s Beehive scale, but simpler.

The idea is to turn Pippa’s bed into a scale. Pippa’s in fine shape right now, but it’s always good to keep an eye on your dog’s weight, and a custom-made scale is a great way to do it.

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