Problematics | Rubik’s colours and Pythagorean triples

The Rubik’s Cube, invented in 1974, was a rage in the 1980s. The idea is to keep rotating the cube’s 3 × 3 planes until you have the same colour on any one face or more faces, possibly all, but that is not the point of the puzzle below. Puzzle 29.1 : A mischievous child drops a Rubik’s Cube into a can of red paint, takes it out and waits for the paint to dry. #Puzzle 28.2 : Hi Kabir, The four capitals in the anagram are: AMSTERDAM, BERLIN, LISBON, TEHRAN — Mudit Singhal, Mumbai Solved both puzzles : Sanjay Gupta, Mudit Singhal, Prisha Gupta, Col Amol Gill, Dhairyan Jain, Jasleen Kaur, Ojasvi Jain, Rutu Milind Save, Mayobhav Pathak, Raghav Kapre, Raju Ramalingam, Sarang Sule, Aurelia Lopez, Ihit Bhardwaj, Biren Parmar, Rahul Agarwal, Md Aqueel Iqbal, Bhavya SK & Dr Vivek CK, Sabornee Jana, Vinod Mahajan, Geetansha Gera, Dr Gurbachan Arora, Dr Vivek Jain, Shishir Gupta, Jyoti Bhat, Dr Nakul Makkar, Jasvinder Singh, Sunita & Naresh Dhillon, Samarth Dewan Solved #Puzzle 28.1 : Bhavishya, Ayush Bhatt, Aadya Sinha, Kushagra K, Ajay Kumar, Nupur Bharara, Rajesh Haridas Asher, Sunita Gupta, Aaditya Bhatia, Ashish Sethi, Nikunj Kumar Solved #Puzzle 28.2 : Dhanya Sangwan, Nishan Shetty, Swati Tandon, Nathan Sequeira, Deviprasad Saksaria, Ipsa Singh, Jaikumar Inder Bhatia #Puzzle 27.2. Solved #Puzzle 27.2 : Jasvinder Singh, Arsh Gupta, Sunita Gupta, Sandeep Kumar, Rutu M Save, Mohit Kumar, Sanjiv, Himanshu Jain, Dr Nakul Makkar, Y K Munjal, Dr Vivek Jain, Tejpal Singh, Sunita & Naresh Dhillon, Amar Lal Miglani, Amardeep Singh, Mudit Singhal, Rajender Parsad Agarwal, Sarang Sule, Rahul Agarwal, Musarrat Rai Handa, Nathan Sequeira, Rajesh Bansal, Harshit Arora, Deviprasad Saksaria Apologies to Nipun Bamania for missing his name among the acknowledgements last week.