The 'the dog and the dragon' story could have different plots. It might be a story set in a medieval - like world. The dog could be a pet of a knight, and the dragon is a terrifying creature that the knight has to face. But the dog, being smart, finds a way to outwit the dragon. It could lead the dragon into a trap or use its bark to startle the dragon at a crucial moment, thus saving the day.
In a possible 'the dog and the dragon' story, there could be a journey involved. The dog is on a quest for something, and the dragon is an obstacle in its path. However, instead of a simple confrontation, they end up learning from each other. The dog learns about the dragon's strength and the dragon learns about the dog's tenacity. Their story could be one of growth and transformation for both characters.
Well, there isn't exactly a 'dog dragon' named as such in a very literal sense in 'The Neverending Story'. But if you might be thinking of Falkor, he's a luckdragon. He has a long, white body that could perhaps be misconstrued as a sort of dragon - like dog in the sense that he's friendly and loyal like a dog. He plays a crucial role in the story, flying around and being a companion to the main characters at different points in their adventures in Fantasia.
"Dragon, Tiger, and Dog" was Ba Jin's work. It was a short collection of essays with mixed emotions that he wrote from 1940 to 1941. There was no deeper meaning to the book. The author said in About (Longhu Dog) that writing the book was like hitting a stone on the ground. However, other than Dragon, Tiger, and Dog, I couldn't find any other recommended short stories related to Dragon, Tiger, and Dog.
The dragon dog in The Neverending Story might represent a unique form of magic or mystery within the story's fantastical world. It could be a symbol of the unexpected and the strange that exists in that realm.
The dragon dog's appearance in The Neverending Story is left somewhat to our imagination. However, if we were to piece it together, we could think of it as having a body structure that combines the grace and power of a dragon with the more familiar form of a dog. Its eyes might be large and slitted like a dragon's, but with a certain warmth or loyalty in them like a dog's. It may have a long tail that could be used for balance like a dragon's tail, but also has a bit of a wagging motion like a dog's. And its limbs could be strong and clawed, similar to a dragon, but also with a certain dog - like gait when it moves.
If we assume the 'dog dragon' refers to Falkor in 'The Neverending Story', his characteristics are quite interesting. He is large and has a long body that allows him to glide through the air effortlessly. He is also very affectionate towards the characters he befriends, much like a dog. His white fur gives him an almost otherworldly appearance. And he has a sense of wisdom and understanding that helps the heroes in the story, showing his intelligence which is different from the simple - mindedness often associated with dogs but still an endearing quality.
If Lennox the dog was a part of a specific event or organization, that would help in telling its full story. For example, if it was a service dog, it might have had a story related to helping its disabled owner lead a more independent life. It could have been trained to perform tasks like guiding the blind, alerting the deaf, or providing support to someone with a mobility issue. Maybe it was a rescue dog that worked in disaster areas, searching for survivors. But again, without more information, the full story remains a mystery.