Research
Herds of Architecture I
Enumerations of Two Tetris BlocksGeorgia Institute of Technology
2021
The project ‘The Herd of Architecture’ is a project of mathematical art inspired by a research work ‘The Animals of Architecture’ in the literature (March L & Martela R, 1974). In this study, the authors calculated (enumerated) all possible configurations of 6, 7 and 8 squares under a constrains that all squares are connected to one another. This project is aiming for one more step as the tribute to the authors, that is: How many animals are there if two N-ominoes are connected? In this project, we started from N=4, that is, connecting two 4-ominoes (for example, a T shape and an L shape). Instead of calculating in a mathematical way, the result is derived by implementing a shape rules to enumerate the possibilities with the removal of equivalent copies. In total, there are ten herds (families) out of five animals, that is a combinatoric claculation C(5,2)=10. Here are the enumerations of the ten families.
Herd 1 ( T + L ):
![](https://freight.cargo.site/t/original/i/21836dd77ef7ce54843c9fdf5dd6ec756fdc182af86cb64c70d9e4d3798635c8/182.jpg)
Herd 2 ( T + l ):
![](https://freight.cargo.site/t/original/i/cc6122ed4e285ce92ab9d0f584bc6a3950175bea193cddc06605bf7314b427d1/183.jpg)
Herd 3 ( T + Z ):
![](https://freight.cargo.site/t/original/i/8bdd930f3f4888436b1f5925d11208bcfb448844571513f386c0ffb65e92ec25/184.jpg)
Herd 4 ( T + □ ):
![](https://freight.cargo.site/t/original/i/e86cb178d205e6cc2490d6cd0324efbeccc5102b15f9607f053f15208796e2db/185.jpg)
Herd 5 ( L + l ):
![](https://freight.cargo.site/t/original/i/b3b6ce5b1d77d05350d240e2bcc4df9651eda4b875a7ded7b2820dd21470c4cc/186.jpg)
Herd 6 ( L + Z ):
![](https://freight.cargo.site/t/original/i/26acf9c74e196b7815bff9d2444eb965302e0ed1ec5a5ea6836ef02d8a68c03b/187.jpg)
Herd 7 ( L + □ ):
![](https://freight.cargo.site/t/original/i/10d1118d334369a9fbe7e8c53dd5e23920ee580842b84b034c916fb5e34cf070/188.jpg)
Herd 8 ( Z + l ):
![](https://freight.cargo.site/t/original/i/66a98dc0c2d7a71113faa01e511a9baf2977d465052d1dc0bcbe73f5f10b14d1/189.jpg)
Herd 9 ( Z + □ ):
![](https://freight.cargo.site/t/original/i/6e54118030ce28bcf517e81a281484ee39e3547c28d82fbd482003cd08ea7d47/190.jpg)
Herd 10 ( □ + l ):
![](https://freight.cargo.site/t/original/i/71a5d9a972070cb77c597a332b02efd9682c64ec2da1cd0f1633f047fbdf5b5d/191.jpg)