Muqarnas on Instagram

Muqarnas

• Agirbas and Yildiz propose a grid of ellipses (8)

  In the final episode, I highlight the ellipse between the stars. The big question is: how do you know in advance which ellipse you need to complete to achieve special stars?

• Agirbas and Yildiz propose a grid of ellipses (7)

  In the seventh episode, I focus on the three star patterns. I am amazed that I can't draw these stars in a rectilinear octagonal grid, but can do in an elliptical octagonal grid.

• Agirbas and Yildiz propose a grid of ellipses (6)

  In the sixth episode, I will demonstrate how to do parametric coding in GeoGebra GeoGebra features list processing. In the next episodes, I will demonstrate step by step how effective it is.

• Agirbas and Yildiz propose a grid of ellipses (5)

  In the fifth episode, I will demonstrate how to develop a muqarnas using a grid of ellipses, incorporating octagons, pentagons and hexagons. This is such a special and challenging invention! In the next episodes, I will demonstrate step by step how effective it is.

• Agirbas and Yildiz propose a grid of ellipses (4)

  Fourth episodeon a grid of ellipses to develop a muqarnas with both octagons and pentagons and hexagons. In the next episodes I show step by step that it works really well.

• Agirbas and Yildiz propose a grid of ellipses (3)

  Third episode: Agirbas and Yildiz propose a grid of ellipses to develop a muqarnas with both octagons and pentagons and hexagon. In three more episodes I show step by step that it works really well.

• Agirbas and Yildiz propose a grid of ellipses (2)

  Second episode: Agirbas and Yildiz propose a grid of ellipses to develop a muqarnas with both octagons and hexagonal stars. In two more episodes I show that it works really well.

• Agirbas and Yildiz propose a grid of ellipses (1)

  Agirbas and Yildiz propose a grid of ellipses to develop a muqarnas with both octagons and hexagonal stars. In a couple of episodes I show that it works really well.

• NWD 2025

  Another workshop at the Nationale Wiskunde Dagen, a two day symposium for hundreds of Dutch and Flemish teachers with invited speakers and tens of workshop. One was mine.

• Kayseri Seljuk museum

  The entrance portal of the Kayseri Seljuk museum has interesting building blocks.

• Kayseri Kursunlu Mosque

  In the next episodes, I want to discuss the construction of pentagonal and hexagonal starshapes. Now an example in Kayseri.

• al-Kashi

  Jamshid al-Kashi was a 15th century a Persian astronomer and mathematician. He wrote a few pages about the surface and volume of muqarnas. Algebra is fun when you have tools to check your calculations. I love GeoGebra.

• Kayseri Sahibiye Medresse

  The entrance muqarna of the Kayseri Sahibiye Medresse has both an octagonal and a hexagonal plan. The dome-like cavities in the stone are characteristic of Seljuk and Ottoman muqarnas.

• Kayseri Hunat Hatun Medresse

  Kayseri is an open air museum with many muqarnas, all different. Hunat Hatun Medresse has a 30° grid and some unique units.

• Giovanni Curatola: Selçuklulardan Osmanlilara Sanat

  Another precious book on Seljuk art, written by prof. Curatola. I bought the book in Istanbul for its beautiful photographs and design.

• Yerebatan Mosque

  Yerebatan Mosque is old, but it has no muqarnas. Did it never have them? Has it been replaced by a restoration? What restoration? When?

• Üsküdar Cinili

  Not every 16th or 17th century mosque has muqarnas. Çinili is famous for its tilings.

• Kayseri Hunat Huand Hatun

  Muqarnas inside Hunat Huand Hatun: not an octagon but a sixteen-pointed star. Result is that one layer looks smooth and the other exceptionally jagged.

• Kayseri Hunat Huand Hatun Backdoor

  Kayseri is a beautiful city with many mosques, medresses and muqarnas. February will be my month of Kayseri.

• Kayseri Hunat Huand Hatun Minaret
• Istanbul Hasanpasa/Kadiköy: Incirli Bostan Camii

  Friends showed me a small camii, Often we look after the large ones, but the small ones are true gems. This one is new: Incirli Bostan Camii. Hasanpasa/Kadiköy

• New translation and commentary on al-Kashi's work

  There is a new translation and commentary on al-Kashi's work, for instance the ninth chapter On the measurements of structures and buildings.

• al-Kashi's curve of a muqarnas cell

  al-Kashi (1380-1429) described the curved shape of a muqarnas cell in a mathematical way. Last year I gave an explanation. A friend asked for more details. Here is my story.

• Translation Uluengin Püskül

  DeepL helps me to translate from Turkish into English. I always check keywords. How to translate the word püskül?

• Translation Ödekan

  Today I translated a whole book. Finally I can read the thesis of Ayla Ödekan in English. Hurray.

• Kayseri Hunat Huand Mihrab

  An attempt to understand the hexadecagon growth pattern of Hunat Huand Hatun mihrab

• Kayseri Hunat Huand Hatun

  Hunat Huand Hatun complex dates back to the Seljuk era. The portal muqarnas is a typical example of the group of advanced designs whose basic grid is alternately built up of octagons, decagons and dodecagons with apparently continuous radial symmetry lines from top to bottom.

• Kayseri Bozatlipasa Narli Masjid

  The output of a whole week in Kayseri: hundreds of photos of all different muqarnas

• Behrem Pasa Daklijst

  he art of turning a cornice into a work of art: simple muqarnas add a little something extra to a cornice. I will never forget my trip to Diyarbakır.

• Corner B

  A true cornerpiece, not an experiment

• Corner

  Experimenting in a corner led to a very unusual design.

• Tools

  My tools help me with my research: Figma, Excel VBA, Rhino Grasshopper, and my 3D printer. I prefer to hold small scale replicas in my hand.

• Uluengin Book

  Good books deserve good translations. Uluengin's book deserves for sure.

• Tesselation Based

  Tessellation-based modeling is promising. Put a 2D plan into the computer and the design rolls out. Kind of like driving a Tesla, ignoring how much logic the engineers had to incorporate to just move from A to B.

• Element Based

  Element-based modeling has charms, but the basic set of eight units is too limited. I prefer the set that Mamoun Sakkal gave us.

• Dincer Overview

  Dinçer and Yazar suggest three different workflows to develop muqarnas.

• Al-Kashi & Mehmet Kellici

  al-Kashi (1380-1429) described the curved shape of a muqarnas cell in a mathematical way. Today we have amazing engineering tools. A friend showed me his drawing. He convinced me that you should use a magnifying glass to set your compass needle accurately.

• Al-Kashi

  al-Kashi mentioned measurements of the outer muqarnas curves. Let's check the interior curves.

• Al-Kashi

  al-Kashi (1380-1429) described the curved shape of a muqarnas cell in a mathematical way. Todays papers suggest different drawings. Here is my story.

• Mardin Sultan Isa / Zinciriye medresesi

  One day I would like to visit Mardin and see the camii, medresse, and muqarnas for myself (and find out the true name of this complex). Now I am happy to have another valuable book by Ara Altun. It gave me the opportunity to check my supposed design of September 2022.

• Üsküdar Atik Valide

  Istanbul has many faces, Üsküdar is one of them. I say, the relaxed one. Atik Valide Camiii is a place I love. Unique architecture, complicated muqarnas, interesting nonagons.

• Question Classification

  I am still looking for examples of octagonal muqarnas plans. I have a list of all possible permutations of predefined units. Some are regular, some are rare, some are odd

• C33 Erzurum Yakutiye Medresi Portal

  I had the opportunity to take pictures myself. Nice town, friendly people on the mountain, nice place for stargazing.

• C31 Kayseri Sahabiye Medresesi

  Rounding a square in Kayseri Sahabiye Medresesi sounds like squaring a circle, impossible for mathematicians, but artisans can do it!

• Iznik Yesil Cami

  Iznik Yesil Cami is worth a visit

• C32 Sivas Buruciye Medresesi

  Last summer I had the opportunity to visit Sivas, take many photos and check the construction of the eye in the layout of Sivas Buruciye Medresesi muqarnas.

• Iznik Museum Fantasy

  I made an attempt to finish the muqarnas. Do you have reliable pictures? Please send them and I will create the real design.

• Iznik Museum

  Iznik has a Turkish-Islamic Arts Museum, once a public soup kitchen. Inside is a large stucco muqarnas. I did my best, but more photos are welcome.

• Iznik Hagia Sophia

  Okay, I was expecting a Byzantine brick for the Iznik Aya Sofya, but not for the muqarnas. I researched the history of the building. It is shocking to see what has happened (and is still happening) to our cultural heritage.

• Iznik Hagia Sophia

  Iznik Hagia Sophia is built in rough Byzantine masonry with flat bricks. The mosque matches the same style without any ornamentation.

• Iznik Mahmut Celebi

  Two weeks of vacation should be enough to take new steps in my muqarnas project. Last summer I took a lot of pictures, for example in Iznik.

• Erzurum Yakutiye

  I was curious what the dome of Yakutiye Medresse really looks like. Fractal subdivision or not. Looking more closely at my photos, I say the outside is not fractalized, but the inside has many faceted surfaces. To be continued ....

• Erzurum Yakutiye

  Erzurum Yakutiye Medresse was my goal. Tomorrow I show you the interior of the dome.

• Erzurum

  Last stop, paying a visit to the famous double minaret Erzurum Çifte Minareli Medrese.

• Sivas Komas

  Sivas is building a new camii close to the old medresses of Sivas in Ottoman style. Today you see only the outline in raw concrete. One day the mosque will be all dressed up with muqarnas and all.

• Sivas çifte Minareli Medrese

  I am happy with my dear friends who take me on trips through this beautiful country where there is so much to see.

• Sivas Buruciye

  Monuments permanently need our attention. Restorations are essential.

• Sivas Gok Medresse

  Sivas Gök Medresse with its double minaret is worth a visit. Fine piece of Seljuk architecture

• Sinan Atlasi

  Another fine book on Sinan. Text is in Turkish and in English. It lists a comprehensive overview of the works of Sinan. I can reach most places by bus in Istanbul. Copies are available on the internet,

• Kocatepe

  Kocatepe Camii has a beautiful central luminous structure. The grid is almost hexagonal, but that is mathematically an impossibility. I had to look twice to figure out how the artist had created it.

• Ankara

  Vacation trip through Anatolia. I want to see the muqarnas for myself. Day 1 is a visit to Ankara.

• Istanbul to Erzurum

  Finally there is an opportunity to visit the old Anatolian muqarnas and make as many photos as possible.

• ITU

  It is good to be back in Istanbul. Yesterday, I visted the ITU Ayazaga campus mosque for its modern minimalistic design (and for a cool place because it is too hot these days)

• Easy Way

  Participants asked me the easy way to design muqarnas. Sorry, there is no scratch course on muqarnas in a week. But there are good books available. You know, the longer the journey, the more rewarding.

• Workshop Gulhane

  Another opportunity to discuss muqarnas. Participants could assemble muqarnas themselves with 3D printed basic units.

• Workshop Muqarnas

  Thanks to the relentless efforts of Nihal Firat Özdemir, I get to do another muqarnas workshop tomorrow.

• Nigde Ak Medresse

  Harmsen her dissertation was a false start. I learned so much more from Mamoun Sakkal. I stick to his predefined units.

• RemarkableBooks_GulsenBas

  Another remarkable book of a productive researcher. Her name is Prof. Gülsen Bas.

• Odekan C7 sub-structures

  Pre-defined units do not stand in isolation but are part of sub-structures. They are what make the muqarnas.

• Odekan C7 variations

  Sakkal told me about the importance of sub-structures. (to be continued)

• RemarkableBooks_Dallal Yaman

  I found a paper with good examples of ottoman muqarnas, paying attention to the inner surface of muqarnas units.

• RemarkableBooks_Tuncer_G2_Iskender Pasa

  Today it is not about a portal but about a muqarnas frame decoration.

• RemarkableBooks_Tuncer K

  Prof. Dr. Tuncer coded units and sub-structures by letters and numbers. A few are rare, for example, this one in Diyarbakır Behram Pasa Camisi.

• RemarkableBooks_Thesis Senalp

  Written in English, this thesis is a key to Ödekan's work for me.

• RemarkableBooks_Odekan

  It was hard to find, but I am glad that I got a copy of Ayla Ödekan her book on pre-Ottoman muqarnas. I keep searching for her other book on Early Ottoman muqarnas.

• Juzer Mustafa Burhani

  hanks to Instagram, we can share ideas, knowledge, papers, photoslessons, and 3D print files. All around the globe. Teachers unite!

• Classification Tuncer

  Tuncer I have mentioned before and I will mention Tuncer many more times. He is so meticulous and prolific besides. To be continued ....

• RemarkableBooks Sakkal

  Mamoun Sakkal introduces muqarnas blocks flowing over two tiers. This concept is more fruitful than the approach of rigidly cutting layers. His thesis is a must-read.

• Patkane

  Different regions, and different evolutions result in different names. for muqarnas, for instance patkâneh.

• RemarkableBooks Kazempour

  Another impressive should-read book when you want to know more about the evolution of muqarnas. Written by an experienced architect, his language is English, for sale all around the globe. Kazempour starting point is what to do whit a semi-spherical dome over a square base.

• RemarkableBooks Tuncer

  Tuncer's book gave me the opportunity to examine a series of related muqarnas, looking for comparisons and differences.

• RemarkableBooks Alacem

  One evening, googling on muqarnas, I found this publication by Sema Alaçam and Orkan Güzelci, two university teachers with a different approach. Sema encouraged me to start with Rhino Grasshopper, one of the best moves in my life.

• Remarkable Books Uluengin

  Fatin Uluengin (1920-2017) was a Turkish architect, best known for his expertise on classical building details of Ottoman architecture. He wrote an impressive book on muqarnas with photographs, drawings and descriptions. I acquired a copy five years ago. It is my wish that an English translation be made available to a wider audience.

• Remarkable Books

  I love books. The fun of art books is that you can master the drawings without understanding foreign languages. Next weeks I will pay attention to these books and articles because they were of great help to understand muqarnas.

• Diyarbakır Husrey

  A new attempt to describe muqarnas. Look what happens when we just focus on the squares and the rhombuses and ignore all details.

• Odekan C30 Kayseri Haci Kilic

  Kayseri Haci Kiliç Medresesi Portal: its muqarnas is is a mix of an octagonal grid in the top and a hexagonal grid in the bottom layers.

• Kayseri Gülük Cami (Ödekan C53)

  Another one is about Kayseri Gülük Cami (Ödekan C53), especially the upper part that follows the 45° grid and has standard predefined units.

• Kayseri Kuluk Cami C53 portal muqarnas

  he entrance portal of Kayseri Gülük Cami has an intriguing bottom layer. It supports a 45° grid, but it does not consist of standard pre-defined units belonging to that grid.

• Kayseri Kuluk Cami C53

  I have been only once in Kayseri and the stay was too short. Today, I searched for Külük or Gülük. Not günlük. I have two options. To be continued.

• Kayseri Elbasi Karatay Hani

  This caravanserai portal muqarnas design is a combination of an octagonal grid, a decagonal grid and a hexagonal grid.

• Dall-E Kayseri Gevher Nesibe

  Creating an artificial intelligence muqarnas with DALL-E. It is fun, and surprising, but doesn't help for a better understanding (I think that I have to learn how AI is learning).

• Odekan C28 Kayseri Sivas Sultanhan

  The Sultan han portal muqarnas design is a combination of an octagonal grid, a decagonal grid and a hexagonal grid.

• Bitlis Serefiye

  Photo research is time-consuming but necessary to prove that my design is right.

• Kasimiye Avluya

  Google Streetview and Maps help to identify locations I have never been. One day, I would like to visit Mardin to visit its 14th century medresa.

• Mardin Kasimiye

  I wrote a lot of code to generate my muqarnas. It is fun. Tailored to my needs.

• Odekan Mardin GoogleStreetview

  I need photos to verify my interpretation of 2D plans. All I have is a name. I had to do hours of desk research to find the right one. Google Streetview does help me a lot. Odekan C20 Mardin

• Odekan C20 Mardin

  Reading 2D plans is difficult, especially the larger ones with stalactites.

• Nigde Akseray Sultan Han

  The large muqarnas hoods of the Seljuk caravanserai have many surprises.

• Kayseri Gevher Nesibe Sifaiyyesi

  Gevher Nesibe Sifaiyyesi has a unique feature in the center of the muqarnas. I have no more loose letters left and call it Qa.

• Afyon Çay Tas medrese

  Sitting at home, I think of Afyon Çay Tas medrese and the municipality park. I do miss Turkey a lot.

• Kayseri: Haci Kilic Camii

  The muqarnas in the left portal of Kayseri Haci Kiliç Mosque is made out of a few different blocks.

• Kirsehir Alaeddin

  The variation in muqarnas is amazing.

• Kayseri Hunat Hatum Külliyesi

  A dodecagonal plan in Kayseri

• Kayseri Hunat Hatum Medresse

  I found a decagonal plan (tenfold symmetry) in Kayseri Hatuniye Medresesi.

• Nigde Akseray Sultanhan

  Same Ödekan type, same modules, different assignment of building blocks, different appeal, but a similar 2D plan.

• Istanbul Dolmabahce Palace

  I found a wooden muqarnas in the harem of Dolmabahçe Palace

• Istanbul Sezhade

  I have a box with paper templates to speed up my investigation of the 2D plan.

• Odekan C3 Sivas

  Ödekan classifies the Sivas Sifaiye Medresesi muqarnas as type I. Soon all other types will be covered.

• Odekan C2 Afsin Eshabi

  Exploring Ayla Ödekan's circular modular grid. This is number 2 of 71 drawings.

• Alayhan

  I have a new book and will be publishing one of Prof. Dr. Ayla Ödekan's designs every week.

• Diyarbakır Lale Bey

  I succeeded in matching Tuncer's classification to mine. Coding muqarnas layers provides more information than a visual 2D plan. I prefer the combination.

• Diyarbakır Melek Ahmet

  Accurate, reliable drawings are essential to reconstruct muqarnas. Internet photo libraries do help too.

• Diyarbakır Husrey

  I saved the trickiest one until last. Today Diyarbakır Husrey Pasa Mosque. How does my interpretation look?

• Bursa Yesil Turbe Niche

  New discovery in Bursa Yesil Turbesi: horizontal surfaces and non-symmetrical footers.

• Baku

  I carried 30+ kg of books from Istanbul to my home. Today's discovery is a muqarnas on top of a bookshelf.

• Bursa Harcilar

  Bursa Hacilar Cami Mihrab had a restauration. The corners have a dedicated cornerstone.

• Bursa Muradiye

  There is a pentagon inside the octagon. Bursa Muradiye Tomb complex has interesting muqarnas

• Edirne Bayazit Kulliyesi

  It is amazing that similar 2D plans can result in different muqarnas designs.

• Diyarbakır Behram Pasa Tackapi Dogu Squared

  Another mixing of designs to convert an octagon to half of a square. Still I have questions about the püskül.

• Diyarbakır Kasim Padisah Tackapi Squared

  An octagon is not a square, but the top layers can be equal. I made another attempt to square an octagon with pre-defined units.

• Diyarbakır Hazreti Squared

  Locked up in an Istanbul apartment, I go on with squaring octagons. Just for curiosity. I found a star!

• Diyarbakır Hazreti

  There are 32 possibilities to fill the gap. Which ones will become beautiful muqarnas and which ones will be deprived?

• Nigde Stretched

  What shall I do when I have to stay in quarantine? I investigate the rules of stretching muqarnas. Do you have another idea how to stretch an octagon? Please let me know.

• Diyarbakır Behram Pasa Camisi

  The variety in muqarnas design is amazing. One building, six mihrabs in the side aisles, all different. Five of them fit in the 45° approach, but one is too irregular for me.

• Diyarbakır Behram Pasa Camisi Harim Dogu Kanadi Orta

  The last one of a series of six mihrabs in the side aisles of Behram Pasa Cami.

• Diyarbakır Behram Pasa Camisi Harim Bati Kanadi Guney

  Does ithave an octagonal floorplan or is it circular?

• Iznik Yesil Cami

  A friend went to Iznik and send me her pictures. Thank you.

• Sakkal thesis A+A+A

  Sakkal wrote on growth patterns producing muqarnas a big as you want.

• Sakkal thesis D

  Sakkal made a unique composition. All blocks are feasible. I would like to hear real life examples!

• Sakkal thesis C

  Another example of Mamoun Sakkal's view on muqarnas domes.

• Sakkal thesis B

  One more on Mamoun Sakkal. I owe him a lot.

• Sakkal thesis A

  Mamoun Sakkal wrote an interesting thesis on muqarnas dome design.

• Diyarbakır Nebi

  Experiment with a new way of encoding muqarnas.

• Diyarbakır Kasim Padisah Tackapi Sol & Sag

  Simple ones are special too.

• Kiani_Design Bursa Timurtas

  On the move

• Diyarbakır Behram Pasa Camisi Son Cemaat Yeri Bati Sag

  Behram Pasa Cami has so many richly decorated muqarnas.

• Darvazeh Double Parak

  Good books provide answers. Thank you Hamidreza

• Small Püskul Zal Mahmud Pasha Eyup Istanbul

  Ottoman muqarnas have small püskül.

• Püskul Revised = Diyarbakır Behram Pasa Serap

  Second attempt. This püskül has a more flat bottom.

• Ali Reza Sarvdalir

  Each muqarnas has a name.

• Diyarbakır Behram Pasa Serap Golden Ratio

  The math of the golden section is amazing .

• Diyarbakır Behram Pasa Serap

  Serap Ekizler Sönmez showed me how the Diyarbakır Behram Pasa mihrab really looks like. Thank you!

• Diyarbakır Behram Pasa

  Why did they choose for half rhombuses Garbage In Garbage Out

• Garbage In Garbage Out

  Rhino Grasshopper is amazing.

• Bursa Timurtas Pasa

  Not every star becomes a stalactite.

• Mardin Sultan Isa Zinciriye

  The portal of Mardin Kasimiye Medrese, (Zinciriye Medresesi, Sultan Isa Medrese ...) has a muqarnas with two small stalactites.

• Püskül

  A new release produces art instead of muqarnas.

• Diyarbakır Arap Seyh

  Two more options for Diyarbakır Arap Seyh. Which one do you prefer?

• Diyarbakır Arap Seyh

  I guessed about the corners in the bottom. Do you have an idea how it looks?

• Diyarbakır Haci Müstak

  Decoration can obscure the form

• Generative Art

  Final preparations for the presentation of my paper

• Generative Art

  Invitation for Generative Art 2021

• Diyarbakır Melek Ahmet

  I am searching for more pre-defined building blocks. I would like to hear from you!

• Diyarbakır Melek Ahmet

  New building blocks for octagonal muqarnas.

• Diyarbakır Behram Pasa Camisi Harim Dogu Kanadi Kuzey

  More opposing intermediates that create a ribbed vault.

• Diyarbakır Behram Pasa Camisi Harim Dogu Kanadi Guney

  Who solves the puzzle of the southern muqarnas in the east wing?

• Diyarbakır Behram Pasa Camisi Harim Bati Kanadi Kuzey

  The fronts of two opposing intermediate building blocks create a ribbed vault.

• Behram Pasa Harim Bati Kanadi Ortadaki

  Self-similarity is an interesting topic.

• How To

  I want to create muqarnas from pre-defined building blocks. I want to print them with 3D printing technology.

• Amasya Again

  Other ways to describe the Amasya muqarnas (but the curvature remains the same).

• Flower Of Life

  It started with a Flower Of Life. For me it is a muqarnas.

• Amasya Stretched

  Same block, different dimensions.

• Diyarbakır Kasim Padisah Son Cemaat Yeri
• Diyarbakır Hazreti

  Prof. Dr. Tuncer wrote a book with many plans of mihrab muqarnas. He started a compact classification.

• Kazempour

  My introduction to the Iranian names of muqarnas. I wish I do not make mistakes.

• Sakkal 4L

  Coding errors can produce beautiful surprises.

• Ödekan Type 2A

  Can we expand the grid of Ödekan's type 2A? Yes, we can!

• Ermenek Tol Medresse

  Mathematics helps to understand the geometry of muqarnas

• Nigde Akseray Sultan Han

  Do they look alike or not?

• Alay Han

  Seljuk muqarnas like in Alay Han have a design which is based on circles.

• Basic Blocks

  Real muqarnas are made of stone, marble, wood, or gypsum. My muqarnas start as computer animations.

• Yeghvard Astvatsatsin

  What shall we do when practice differs from theory?

• Armenia Type II

  When there is a type I, there must be a type II.

• Üskudar Rum Mehmet Pasha

  Amasya Bimarhane Niche

• Amasya Bimarhane Niche

  Why divide a rhombus in one way when there is another way too

• Kiosk Tophane Mahmud Han Çesmesi

  Today, I saw an old fountain building in Tophane with eight muqarnas.

• Armenian Type 1

Parametric

• Ring of Stars

  I want to know how Odekan's modular approach to hanging elements is working. Understanding the rules This post is not about making a real muqarnas, but a trial. Keeps me warm when the weather gets cold.

• Parametric Hexagon

  The interior angle is an import parameter defining the shape of the muqarnas. Today, I explore the hexagon.

• Parametric Interior

  Exploring the effect of the interior shape parameter on the outline of the muqarnas blocks. I measured the angles.

• N-gons

  The growth pattern of polygons might help to investigate the underlying grid of the 2D muqarnas plans. That is the power of parametric design. Parameter is the top angle.

• Castera Infinity

  Jean-Marc Castera has made several attempts to generate 3D muqarnas from a 2D tiling. Here is possibility number one. (Note: it may take some time to do the others)

• ParametricDesign

  I prefer Grasshopper for its capabilities in Parametric Design. It is like programming the curves and surfaces you want. I admit, you have to get used to it, but once you understand, there are so many advantages.

• Grasshopper
• RhinoGrasshopper Püskül

  Paramatric design with Rhino/Grasshopper is fun.