Christmas-themed Example for Modular Sequences and Graph Construction

This example uses a Christmas-themed visualization to demonstrate how modular (remainder) operations on an index can drive discrete changes in a generated sequence, producing structured geometric and graph-based patterns. Key mathematics includes the Mod (modulo) operator, Sequence-based construction, and supporting ideas that connect to logic conditions, vector representations, and graphing, along with statistical concepts such as arithmetic mean, median line, and standard deviation for interpreting or annotating the resulting data/constructs. From the construction summary, the main GeoGebra commands are Mod and Sequence, which generate sequence-driven values; these values are then mapped onto multiple geometric objects (points/objects labeled like a, b, c, d and A–I) and orchestrated with interactive UI elements (buttons such as Bouton1/Bouton2, text labels like texte1/texte2, and other listed objects/images) to build the final display. Suitable for middle and high school through early university levels, especially for teaching discrete mathematics, programmatic geometry construction, and the visualization of statistical/functional behavior.