Muqarnas Construction: Hand-Drawn Iranian Method Tutorial

Vault curvature directly affects structural strength and force distribution. More curved vaults have greater strength and better load distribution, while flatter vaults exert more force on lateral supports. Well-constructed vaults can support loads equivalent to reinforced concrete slabs. When lateral supports are removed, vaults become unstable and collapse under load. Iron tie rods can reinforce fragile supports but may be aesthetically undesirable. The sencillo layer requires specialized craftsmanship as it forms the foundation for subsequent layers.

Barrel vaults distribute loads through compressive forces that transfer laterally to supporting walls. The keystone bears minimal direct load but is critical for redirecting forces outward to abutments. When cracks develop, they disrupt this force distribution, causing progressive damage. The restoration team monitored the building for four years using topographic surveys to track movement patterns before intervening. Understanding these mechanical principles guided decisions about reinforcement placement and intervention timing.

This comprehensive section traces the evolution of masonry structural understanding from historical master builders to modern computational methods. It begins with examples of remarkable historic achievements like the 13-meter fan vaults at King's College Cambridge, spanning with only 10-centimeter thick stone slabs held in compression. The key insight is that masonry belongs to the category of equilibrium and stability problems rather than stress and material failure problems, allowing geometric scaling across all scales. Gothic master builders used proportional rules and scale models to test structural ideas before full-scale construction. The thrust line concept is introduced as a theoretical representation of compressive force paths within a structure; if a network of forces can be found that fits within the geometry, the structure will be stable. The inverted hanging model principle ('as hangs a flexible line so inverted will stand a rigid arch') explains how tension-hanging geometries translate to compression-standing forms. Graphic statics extends these principles to 3D analysis through vector equilibrium diagrams, where each node's equilibrium is represented by a closed vector polygon, providing explicit control over force redistribution. The Rhino Vault software is presented as a free tool enabling rapid creation of compression-only masonry shells within approximately 30 minutes, allowing architects to quickly explore structurally valid forms. Case studies demonstrate its transformative impact: saving Jefferson's historic vault from steel bracing by proving structural safety, and enabling rapid architectural exploration of compression-only forms. The section details three primary methods for spanning space with masonry: European tradition using full formwork, Nubian vaulting, and Tile vaulting using faceting mortar. The latter two methods do not require formwork and can be built directly in space, with Tile vaulting creating shells spanning almost 20 meters with just 15 centimeters thickness. Experimental validation is documented through physical prototypes: a vault constructed using cardboard guide work demonstrated remarkable robustness, withstanding three tons of point load without damage. The section explains anti-clastic curvature as creating highly redundant systems with many load paths to supports, explaining why structures like Guastavino shells survived major earthquakes in Mexico.

A corbel is a structural element that extends beyond the normal thickness of a wall. It is used to provide additional support to the ends of beams and to transfer loads falling on the beam to the wall. Corbels serve both structural and aesthetic purposes, as they are often visible on the exterior of buildings and contribute to the architectural appearance.

Corbelling is a construction technique where stone protrudes outward from a wall to support structures above. This technique supported extended parapets (the protective walls along the top of curtain walls), intermediate floors in multi-story castles, and stone ceilings through vaulting. Vaults represent stone ceilings created by redirecting downward gravitational forces into the sides through arches, placing the entire structure under compression rather than tension. Since stone has poor tensile strength but excellent compressive strength, arches allowed builders to span distances without relying on weak tensile properties. Corbels and pillars running to the ground supported these vaulted ceilings, enabling complex stone architectural elements that define medieval castle aesthetics.

In the early Ottoman period, mukarnas began to be used in kasnak regions, as seen in the Kadı Mejdettin Mosque in Tire. The construction shifted to brick-based techniques with plaster, as seen in the Bursa Orhan Mosque mihrab and Iznik Orhan Mosque. During the classical period, mukarnas became more elaborate and was used in larger scales, as seen in the Timurtashpaşa Mosque and Iznik Green Mosque. The Yıldırım Hamamı in Bergama represents a completely mukarnas-covered dome. This period saw mukarnas evolve from structural transition elements to dominant architectural features.

The Mocarabe is a purely Islamic geometric decorative motif that does not admit structural support. It consists of 'adarajas' (three-dimensional prisms) divided into four families: conz, medios cuadrados, jairas, and dumb. These pieces interlock and escalate in height to construct the Mocarabe, which can be arranged as a cube moving inward (like the large dome) or as a pinecone hanging downward. This represents the sophisticated mathematical and artistic achievements of Islamic architecture.

The Baban Naqqash style was developed under Mehmed II. Shah Quli Tabrizi pioneered the 'Path of the Painter' and created the Houri motif. Ali Iskandar developed the Qaragunlu style. E'ta Allah Afandi created the 'Path of the Painter' (طريق عطاء). Mohsen Dameri achieved success with the 'Acceptance Style.' Manuscript art centers were located in Herat, Tabriz, and Istanbul during the Ottoman period.

One of the unresolved questions about Taifa palace ornamentation in Almería is the mention by al-Razi of a great hall with 'mocarabes' (muqarnas), decorated with carved and gilded incrustations, marble pavement, and zócalos with inscribed marble. Manuel Haenisch identified other architectural decoration elements that certainly came from this hall or the same complex. The speaker notes that if these had been muqarnas, this would have been an absolute innovation in Al-Andalus for those dates, and the novelty and experimental nature of such a choice would have contrasted with the strong traditionalism perceived in the stucco work and especially in the capitals. One argument is that the word may have been 'mocarbas' (a type of carved decoration in loops) rather than 'mocarabes' (muqarnas). Another argument is that no muqarnas remains have been found in Almería, though the speaker notes that the fragments of architectural ornamentation that have survived are very fragmented and may have disappeared completely, especially if the supposed muqarnas were of plaster or wood.

Mozarabs were Christian Spaniards who lived under Arab rule in medieval Spain, maintaining cultural tolerance while developing a unique artistic tradition. Mozarabic art is primarily architectural, combining Christian structural foundations with Islamic decorative elements. The tradition evolved through three distinct styles: the first style (10th-11th century) features austere square apses and rudimentary horseshoe arches, exemplified by the Church of San Bartolomé de Gavín; the second style (late 10th century) introduces the alfiz frame and more elaborate ornamentation, with the Church of San Pedro de la Red as its best example; the third style (early 11th century) transitions to semicircular arches, representing the culmination of this architectural tradition.

This video demonstrates how to create modern parametric versions of Muqarnas, a complex Islamic geometric pattern, using Rhino and Grasshopper. The process involves creating quad surfaces, generating series for element counts and positions, organizing data trees, and lofting multiple profiles to create 3D geometric forms. The instructor shows three approaches: a simple version, a slanted version, and a curved version, each representing different interpretations of the traditional Muqarnas pattern while maintaining its essential geometric characteristics.

This research demonstrates how parametric modeling of traditional Iranian-Islamic muqarnas (ornamental vaulting) can be integrated with Design for Manufacturing and Assembly (DFMA) principles to enable UAV-based construction, by analyzing four traditional muqarnas categories (Luli, decorated, stalactite, and Jad), developing a generative system using Rhino Grasshopper, and proposing an efficient drone assembly strategy that minimizes flight distance through organized picking and putting sites.

Muqarnas are intricate geometric vault decorations found in Islamic architecture across North Africa, the Middle East, Spain, Iran, Central Asia, and South Asia, characterized by a hierarchical system of interlocking geometric patterns (typically octagons and 10-pointed stars) that can be modeled in Rhino 3D by first creating polygonal and star geometries, then establishing vertical connections between tiers using Loft, Sweep, and Mirror commands to replicate patterns symmetrically across all quadrants, with construction methods historically involving corbelling (stacked stones) or wooden lattice with stucco/tile work.

Computational and parametric design in jewelry uses algorithms and software like Rhino and Grasshopper to mathematically define and precisely control jewelry elements, enabling designers to create intricate pieces such as pave settings, twisted cables, and domed rings with microscopic precision; parametric design allows changes to propagate automatically throughout the entire piece, transforming traditional handcrafting techniques into efficient digital workflows while maintaining artistic creativity.

This video demonstrates the systematic process of 3D muqarnas modeling using Rhinoceros software, beginning with analyzing planar connections between edges and corners to establish triangulation, then leveraging symmetry principles to mirror common pieces across layers, before converting these planar triangles into smooth NURBS surfaces through lofting techniques to recreate the intricate geometric vaulting characteristic of traditional Islamic architecture.