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Modulo 2 Operation

Modulo 2 Operation
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2016-11-23 18:59
TrigonometrySequenceProbability & Statistics
This example demonstrates the graphical representation of modulo 2 operation. The core mathematical concepts involved are modular arithmetic in number theory. Using the GeoGebra command Sequence, a sequence is generated to show the results of modulo 2 operation. Suitable for students at junior high school level and above to learn about modular arithmetic and its applications.

GeoGebra Commands & Parameters

  1. Sequence(Sphere[(Mod[i, m], Mod[Div[i, m], m], Mod[Div[i, m^(2)], m]), r], i, 0, m^(3), 4) → liste1
  2. Sequence(Sphere[(Mod[i, m], Mod[Div[i, m], m], Mod[Div[i, m^(2)], m]), r], i, 1, m^(3), 4) → liste2
  3. Sequence(Sphere[(Mod[i, m], Mod[Div[i, m], m], Mod[Div[i, m^(2)], m]), r], i, 2, m^(3), 4) → liste3
  4. Sequence(Sphere[(Mod[i, m], Mod[Div[i, m], m], Mod[Div[i, m^(2)], m]), r], i, 3, m^(3), 4) → liste4

AI Drawing Prompt Reference

Plot a set of points in 3D space based on the modulo 2 operation for integers from 0 to m^3. Use m=2 and generate four sequences, each containing points at intervals of 4 numbers, with positions determined by (i mod 2, i//m mod 2, i//m^2 mod 2), and radius r.
The prompt above was compiled from the original drawing commands and is for reference only.