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There is 6 configurations with 3 valid polytopes. There is 0 configurations with 4 valid polytopes. There is 23 configurations with 5 valid polytopes. There is 0 configurations with 6 valid polytopes. There is 20 configurations with 7 valid polytopes. There is 0 configurations with 8 valid polytopes. There is 4 configurations with 9 valid polytopes. 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Number of solutions to try: 14. 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The original triangulations, simplices positively decorated, regions, and a point on each one are: Nyw3JiIiISIiIiIiIyIiKDcmRiRGJUYmIiM2NyZGJEYlRiciIik3JkYkRiVGK0YpNyZGJCIiJyIjNUYpNyZGJEYrIiIqRik3JkYkRjFGL0YpNyZGJUYuRi9GKTcmRiVGK0YxRik3JkYlRjFGL0Yp Nyc3JiIiIiIiIyIiJCIjNzcmRiRGJSIiKkYnNyZGJEYlIiM2Ric3JkYkRikiIzVGJzcmRiRGLUYrRic= PCssJiZJIk1HNiI2IyIiIyIiIiZGJTYjRikhIiIsJkYkRikmRiU2IyIiJEYsLCgqJkkiRUdGJkYpRipGKUYsKiZJIkZHRiZGKUYqRilGLEYzRiksKComRjNGKUYkRilGKSomRjVGKUYkRilGKUYzRiwsKComRjNGKUYuRilGLComRjVGKUYuRilGLEYzRiksKComSSJTR0YmRilGKkYpRixGNUYsRj5GKSwoKiZGPkYpRi5GKUYsRjVGLEY+RiksLkYyRilGN0YsRjRGKUY4RixGPUYsKiZGPkYpRiRGKUYpLC5GN0YsRjpGKUY4RixGO0YpRkJGKUZARiw= NykvSSJFRzYiXTNGRDk5NzUwMjg2QjQ1QTAvSSJGR0YlXTNGMjlDNkM1QkJFODUyQUMvSSJTR0YlXTQwMDE5QTJDNEFCMUZGN0EvJkkiTUdGJTYjIiIhXTNGRUZGRjJFNDhFOEE3MUUvJkYvNiMiIiJdM0ZFRkY5RUNFMDJGNjIwMy8mRi82IyIiI10zRkVGRkUzNkFFMkMwMENELyZGLzYjIiIkRjc= 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