archimedian solid


Lokma is the name of a pastry made of fried dough soaked in sugar syrup or honey and cinnamon, typically shaped into a ring or ball. Unfortunately it is not the “Lokma” we’ll study here. In Turkish, there is another meaning of “Lokma” related with the history of eastern architecture. Lokma is the name of metal connectors used in railings, mostly inside of the openings of garden walls and old Mosque complexes. This system is often called “Lokma Railing” or “Lokma Iron”, while the connector of the railing is called […]


Truncated Icosahedron (5,6,6) is an Archimedian Solid, probably the most popular one because of it’s apperance as the soccer ball. It’s constructed by trimming one third of each edge of an Icosahedron, (a Platonic Solid described here). In order to find 1/3’s of each edge, I used duplicate border, explode and divide commands to get the points that construct the pentagons and hexagons, while paneling is done by using planar surface commands on closed polyline edges. (If you are interested in how we reached the initial solid, refer to the […]


Icosidodecahedron is an Archimedian Solid, a thing in between the Platonic Solids of Icosahedron (d20) and Dodecahedron (d12). It is a rectified version of Icosahedron, constructed with dividing every edge of it into two equal segments, and joining these segments to create a composition of equilateral pentagons and triangles. Archimedian Solids consists of at least two equilateral polygons, whereas Platonic Solids are constructed by only one. We’ll deduce an Icosidodecahedron from Icosahedron below; First, you should create an Icosahedron, the Platonic father of Icosidodecaheron. After that, all faces should be […]


Truncated Tetrahedron is an Archimedian Solid, created by slicing a Tetrahedron. It’s faces are regular hexagons and triangles. Assuming you’ve created a Tetrahedron, first join it’s faces to create a polysurface. Now, you may re-create the lines of Tetrahedron’s edges, either by drawing them or generating them (Curve/Curve from Objects/Duplicate Edge). While the edge lines are selected, hit (Curve/Point Object/Divide Curve By/Number of Segments) and type 3 to the number of segments to be created. Now all edges should be divided equally into three parts. Draw the equilateral triangles, connecting the […]