Consensus Cake Division Demonstration
Loading the math board and drawing, please wait…
This example demonstrates the geometric process of cake division by consensus, showing the fairness of the division through dynamic graphics. Core math concepts include division, reflection, angles, histograms, interest calculation, and ellipses. It uses commands like Circle, Sequence, and Arc in GeoGebra for construction. Suitable for high school and above learners to understand geometric division algorithms and applications of ellipses.
GeoGebra Commands & Parameters
Circle((0, 0), 1) → cSequence((cos((Element[AStations, n] * π / 12)), sin((Element[AStations, n] * π / 12))), n, 1, Length[AStations]) → AListSequence((cos((Element[BStations, n] * π / 12)), sin((Element[BStations, n] * π / 12))), n, 1, Length[BStations]) → BListArc(c, BeforeStation[AStations, t], BeforeStation[AStations, t + 5]) → d