Muqarnas

This preliminary webpage contains work in progress on muqarnas. Software aplications were developped to investigate and generate 2D and 3D drawings. At the moment, several 2D plans are presented and a few 3D animations.

In 2019 and 2020, workshops were held to teach students and teachers about the geometry of muqarnas.

Workshops for students

Workshop materials

Overview

The muqarnas have a lot in common. The picture is an attempt to relate the designs to each other.

Building blocks

With a limited number of standardized building units, all different kinds of muqarnas can be built. Below are examples of the twelve basic building units for the 45° system based on squares, parallelograms and triangles whose angles are multiples of 22.5° are, for example, 45°, 67.5°, 90°, 135°. The top row shows the units with walls, the bottom row shows the intermediate units.

Coding building blocks

GeoGebra Books

Visualizations have been made in a seperate GeoGebra book, including workshop materials.

Visualizations

Work in Progress

Workshop materials

3D printed units

Six boxes with 3D printed muqarnas units are made available. Each box contains about ten to twenty pieces of each of the twelve basis units. Additional pieces with special characteristics are available too.

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