Insight on Ramanujan’s Puzzle

Generation of Chaos using Ramanujans Ternary Quadratic Form

Ramanujans Ternary Quadratic Form represents a series of numbers that satisfy a tripartite quadratic relation. In the present work, we examine the sequence of numbers generated by such forms and other related forms obtained by varying the coefficients and exponents to other values. Chaotic characterization using standard techniques such as Lyapunov Exponents, Kolmogorov Entropy, Fractal Dimensi...

Cognitive and Attentional Process in Insight Problem Solving of the puzzle game "Tangram"

The purpose of this study is to demonstrate a constraint relaxation which is followed by the transition to an appropriate representation in insight problem solving. The puzzle game “Tangram” was used as a new insight problem, in which problem-solvers were presented a silhouette and asked to make the same configuration by arranging 7 pieces. At the beginning, problem-solvers had a constraint all...

On the Present Perfect Puzzle

Crossword Puzzle Attack on NLS

NLS is one of the stream ciphers submitted to the eSTREAM project. We present a distinguishing attack on NLS by Crossword Puzzle (CP) attack method which is newly introduced in this paper. We build the distinguisher by using linear approximations of both the non-linear feedback shift register (NFSR) and the nonlinear filter function (NLF). Since the bias of the distinguisher depends on the Kons...

Puzzle Generators and Symmetric Puzzle Layout

We present two abstract models of puzzles, permutation puzzles and cyclic puzzles, which can be modelled as puzzle graphs. Based on these models, we implement two puzzle generators and produce various layouts of the puzzles using graph drawing algorithms. Using these puzzle generators we can create new puzzles. Further, we can create new user interfaces of a puzzle by applying different layout ...