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Table 2 An overview of the principle in state-of-the-art literature

From: Application-based principles of islamic geometric patterns; state-of-the-art, and future trends in computer science/technologies: a review

 

Application objectives

Aesthetic-based

Sustainable-based

Structure-based

Generation method

Adaptation

-

-

Visual comfort

Humidity control

Daylight

Heat convenience

Airflow

Force-based

Self-load bearing

Material behavior

Transform to efficiency

Lattice feature

2D/Symmetry group

2D/Tilling-based

2D/Aperiodic

3D/Periodic

3D/Aperiodic

Angles and lines

Line to curve

Multi-layers

Interwoven

(Al-Asad, 1956)

   

✓

               

(Abas and Salman, 1992)

✓

                  

(Lalvani, 1989)

✓

                  

(Ostromoukhov, 1998)

✓

                  

(Zarghili et al. 2001)

 

✓

                 

(M. A. J. Yaghan, 2001)

   

✓

               

(M. A. J. Yaghan, 2003)

   

✓

               

(Kaplan and Salesin, 2004)

 

✓

 

✓

 

✓

             

(Kaplan, 2005)

 

✓

   

✓

             

(M. A. Yaghan, 2005)

   

✓

               

(Valiente et al. 2005)

✓

                  

(Dold-Samplonius and Harmsen, 2005)

   

✓

  

✓

            

(Cenani and Cagdas, 2006)

✓

    

✓

             

(Djibril et al. 2006b)

✓

                  

(Djibril et al. 2006a)

✓

                  

(Rasouli et al. 2008)

✓

                  

(Djibril and Thami, 2008)

✓

                  

(Chitchian & Sariyildiz, 2008)

  

✓

                

(Maleki and Woodbury, 2008)

   

✓

 

✓

✓

            

(Aljamali, 2009)

✓

                  

(Gil et al., 2009)

✓

                  

(Pottmann et al. 2010)

   

✓

  

✓

            

(Izadi et al. 2010)

✓

✓

   

✓

             

(Rasouli and Bastanfard, 2010)

   

✓

               

(Mohamadianmansoor and Faramarzi, 2011)

   

✓

  

✓

            

(R. Al Ajlouni and Justa, 2011)

✓

    

✓

             

(Hamekasi et al. 2011)

   

✓

✓

              

(R. A. Al Ajlouni, 2012)

  

✓

  

✓

 

✓

           

(Riether and Baerlecken, 2012)

    

✓

✓

             

(Bonner and Pelletier, 2012)

  

✓

    

✓

           

(Pelletier and Bonner, 2012)

  

✓

    

✓

           

(R. Al Ajlouni, 2013)

  

✓

  

✓

 

✓

           

(Webster, 2013)

   

✓

               

(Nasri et al. 2014)

✓

                  

(Bonner, 2014)

✓

✓

                 

(Lee et al. 2015)

 

✓

   

✓

             

(Giovannini et al. 2015)

     

✓

     

✓

✓

      

(Alani and Barrios, 2015)

✓

    

✓

             

(Albert et al. 2015)

✓

                  

(Sayed et al. 2015)

   

✓

 

✓

             

(El ouaazizi et al. 2015)

✓

                  

(Sayed et al. 2016)

   

✓

 

✓

             

(Mohammadin et al. 2016)

 

✓

         

✓

✓

      

(Emami and Giles, 2016)

           

✓

       

(Gherardini and Leali, 2016)

      

✓

            

(Alani, 2016)

✓

     

✓

            

(Rafsanjani and Pasini, 2016)

                

✓

  

(Nasri et al. 2017)

✓

 

✓

                

(Nasri and Benslimane, 2017)

✓

                  

(Shahbazi et al. 2017)

   

✓

  

✓

            

(R. Ajlouni, 2017)

  

✓

  

✓

 

✓

           

(Beatini, 2017)

✓

                  

(Alacam et al. 2017)

   

✓

  

✓

            

(Koren, 2017)

   

✓

  

✓

 

✓

✓

 

✓

       

(Oghazian et al. 2017)

           

✓

       

(Khamjane and Benslimane, 2017)

  

✓

                

(Kaplan, 2017)

   

✓

 

✓

             

(Alani, 2018)

✓

    

✓

             

(Tabadkani et al., 2018)

           

✓

       

(Thalal et al. 2018)

✓

✓

                 

(Khamjane and Benslimane, 2018b)

  

✓

  

✓

 

✓

           

(Khamjane and Benslimane, 2018a)

✓

    

✓

             

(R. A. Ajlouni, 2018)

  

✓

    

✓

           

(Mohammadi et al. 2018)

   

✓

 

✓

✓

            

(Bonner, 2018)

   

✓

 

✓

             

(De Marco, 2019)

✓

  

✓

✓

              

(Senhaji and Benslimane, 2019)

   

✓

  

✓

            

(ZAHRI, 2019)

✓

    

✓

             

(Maarouf and Zeid, 2019)

   

✓

               

(Amjad Mohammadi et al. 2019)

   

✓

 

✓

✓

            

(Guzelci and Alacam, 2019)

   

✓

  

✓

            

(Khamjane et al., 2019)

 

✓

✓

    

✓

           

(Yi et al. 2019)

         

✓

 

✓

       

(Rian et al. 2019)

         

✓

 

✓

✓

      

(Ferrer-Pérez-Blanco et al. 2019)

   

✓

✓

              

(Khamjane et al., 2020)

  

✓

  

✓

 

✓

           

(Rezakhani and Kim, 2020)

                 

✓

 

(Moradzadeh and Nejad Ebrahimi, 2020a)

   

✓

               

(Hosseini et al. 2020)

           

✓

       

(Moradzadeh and Nejad Ebrahimi, 2020b)

    

✓

✓

             

(Agirbas, 2020)

   

✓

    

✓

          

(Bagasi and Calautit, 2020)

          

✓

 

✓

✓

     

(Lim, 2020)

                

✓

  

(Aoulalay et al. 2020)

✓

✓

                 

(Ouazene et al. 2021)

✓

                  

(Bagasi et al. 2021)

          

✓

  

✓

     

(Nadyrshine et al. 2021)

✓

                  

(Sabouri Kenarsari et al. 2021)

         

✓

 

✓

       

(Hajebi and Hajebi, 2021)

✓

 

✓

✓

 

✓

             

(Agirbas and Yildiz, 2021)

   

✓

  

✓

            

(Wafaei Baneh et al. 2021)

✓

                  

(Agirbas and Basogul 2021)

   

✓

    

✓

       

✓

  

(Mohaghegh et al. 2021)

           

✓

       

(Lahsen et al., 2021)

✓

                  

(Asefi and Bahrem andi Tolou, 2021)

        

✓

         

✓

(Lim, 2021a)

     

✓

          

✓

  

(Lim, 2021b)

     

✓

          

✓

  

(Lim, 2021c)

     

✓

          

✓

  

(Dinçer and Yazar, 2021)

   

✓

  

✓

            

(Refalian et al. 2021)

✓

    

✓

             

(Aoulalay et al. 2022)

✓

                  

(Senhaji and Benslimane 2022)

   

✓

  

✓

            

(Gokmen et al. 2022)

   

✓

  

✓

            

(Maksoud et al. 2022)

           

✓

✓

      

(Agirbas et al.. 2022)

   

✓

  

✓

            
 

Trends in Computer science/technologies

Topic

Digital fabrication

Digital surveying

Software tool

Optimization

Digital visualisation

Formal grammar

Graph theory

Machine learning

Virtual reality

Building facade

Building element

Non-Building

(Al-Asad, 1956)

    

✕

     

+

 

(Abas & Salman, 1992)

    

✕

      

+

(Lalvani, 1989)

    

✕

✕

     

+

(Ostromoukhov, 1998)

    

✕

      

+

(Zarghili et al., 2001)

 

✕

         

+

(M. A. J. Yaghan, 2001)

    

✕

     

+

 

(M. A. J. Yaghan, 2003)

    

✕

     

+

 

(Kaplan & Salesin, 2004)

  

✕

        

+

(Kaplan, 2005)

    

✕

      

+

(M. A. Yaghan, 2005)

    

✕

     

+

 

(Valiente et al., 2005)

 

✕

         

+

(Dold-Samplonius & Harmsen, 2005)

  

✕

   

✕

   

+

 

(Cenani & Cagdas, 2006)

     

✕

     

+

(Djibril et al., 2006b)

 

✕

         

+

(Djibril et al., 2006a)

 

✕

         

+

(Rasouli et al., 2008)

 

✕

         

+

(Djibril & Thami, 2008)

 

✕

         

+

(Chitchian & Sariyildiz, 2008)

    

✕

      

+

(Maleki & Woodbury, 2008)

    

✕

     

+

 

(Aljamali, 2009)

  

✕

        

+

(Gil et al., 2009)

 

✕

        

+

 

(Pottmann et al., 2010)

✕

         

+

 

(Izadi et al., 2010)

    

✕

      

+

(Rasouli & Bastanfard, 2010)

    

✕

      

+

(Mohamadianmansoor & Faramarzi, 2011)

    

✕

     

+

 

(R. Al Ajlouni & Justa, 2011)

 

✕

        

+

 

(Hamekasi et al., 2011)

  

✕

       

+

 

(R. A. Al Ajlouni, 2012)

    

✕

      

+

(Riether & Baerlecken, 2012)

✕

    

✕

    

+

 

(Bonner & Pelletier, 2012)

    

✕

      

+

(Pelletier & Bonner, 2012)

    

✕

      

+

(R. Al Ajlouni, 2013)

    

✕

      

+

(Webster, 2013)

    

✕

      

+

(Nasri et al., 2014)

 

✕

 

✕

       

+

(Bonner, 2014)

    

✕

      

+

(Lee et al., 2015)

    

✕

      

+

(Giovannini et al., 2015)

    

✕

    

+

  

(Alani & Barrios, 2015)

     

✕

     

+

(Albert et al., 2015)

   

✕

       

+

(Sayed et al., 2015)

     

✕

     

+

(El ouaazizi et al., 2015)

 

✕

 

✕

       

+

(Sayed et al., 2016)

     

✕

     

+

(Mohammadin et al., 2016)

   

✕

     

+

  

(Emami & Giles, 2016)

    

✕

    

+

  

(Gherardini & Leali, 2016)

   

✕

      

+

 

(Alani, 2016)

     

✕

     

+

(Rafsanjani & Pasini, 2016)

    

✕

      

+

(Nasri et al., 2017)

 

✕

 

✕

       

+

(Nasri & Benslimane, 2017)

     

✕

     

+

(Shahbazi et al., 2017)

    

✕

      

+

(R. Ajlouni, 2017)

    

✕

      

+

(Beatini, 2017)

    

✕

      

+

(Alacam et al., 2017)

    

✕

     

+

 

(Koren, 2017)

    

✕

    

+

  

(Oghazian et al., 2017)

    

✕

    

+

  

(Khamjane & Benslimane, 2017)

    

✕

      

+

(Kaplan, 2017)

    

✕

      

+

(Alani, 2018)

     

✕

     

+

(Tabadkani et al., 2018)

    

✕

    

+

  

(Thalal et al., 2018)

    

✕

      

+

(Khamjane & Benslimane, 2018b)

    

✕

      

+

(Khamjane & Benslimane, 2018a)

    

✕

      

+

(R. A. Ajlouni, 2018)

    

✕

      

+

(Mohammadi et al., 2018)

    

✕

     

+

 

(Bonner, 2018)

    

✕

     

+

 

(De Marco, 2019)

 

✕

        

+

 

(Senhaji & Benslimane, 2019)

    

✕

     

+

 

(ZAHRI, 2019)

    

✕

      

+

(Maarouf & Zeid, 2019)

    

✕

     

+

 

(Amjad Mohammadi et al., 2019)

    

✕

     

+

 

(Guzelci & Alacam, 2019)

    

✕

     

+

 

(Khamjane et al., 2019)

    

✕

      

+

(Yi et al., 2019)

   

✕

     

+

  

(Rian et al., 2019)

    

✕

    

+

  

(Ferrer-Pérez-Blanco et al., 2019)

 

✕

        

+

 

(Khamjane et al., 2020)

    

✕

      

+

(Rezakhani & Kim, 2020)

        

✕

+

  

(Moradzadeh & Nejad Ebrahimi, 2020a)

    

✕

      

+

(Hosseini et al., 2020)

    

✕

    

+

  

(Moradzadeh & Nejad Ebrahimi, 2020b)

✕

   

✕

      

+

(Agirbas, 2020)

    

✕

      

+

(Bagasi & Calautit, 2020)

    

✕

    

+

  

(Lim, 2020)

    

✕

      

+

(Aoulalay et al., 2020)

       

✕

  

+

 

(Ouazene et al., 2021)

    

✕

      

+

(Bagasi et al., 2021)

    

✕

    

+

  

(Nadyrshine et al., 2021)

    

✕

      

+

(Sabouri Kenarsari et al., 2021)

         

+

  

(Hajebi & Hajebi, 2021)

 

✕

  

✕

  

✕

   

+

(Agirbas & Yildiz, 2021)

 

✕

   

✕

    

+

 

(Wafaei Baneh et al., 2021)

 

✕

        

+

 

(Agirbas & Basogul, 2021)

      

✕

  

+

  

(Mohaghegh et al., 2021)

    

✕

    

+

  

(Lahsen et al., 2021)

  

✕

        

+

(Asefi & Bahremandi Tolou, 2021)

   

✕

     

+

  

(Lim, 2021a)

    

✕

      

+

(Lim, 2021b)

    

✕

      

+

(Lim, 2021c)

    

✕

      

+

(Dinçer & Yazar, 2021)

    

✕

     

+

 

(Refalian et al., 2021)

✕

    

✕

     

+

(Aoulalay et al., 2022)

       

✕

  

+

 

(Senhaji & Benslimane, 2022)

    

✕

     

+

 

(Gokmen et al., 2022)

    

✕

 

✕

   

+

 

(Maksoud et al., 2022)

    

✕

    

+

  

(Agirbas et al., 2022)

 

✕

   

✕

    

+