Interactive Prime Sieve Pattern Visualization
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In collections
Arithmetic Operations (preGED)
This example demonstrates an interactive “prime number sieve” visualization, showing how the distribution of numbers evolves into recognizable 2D patterns as the sieve process progresses. The key mathematical ideas are prime numbers and the sieve mechanism (iterative elimination), together with mapping selected values to coordinate-based points/labels to reveal structure in the plane. In the GeoGebra construction, undefined elements are handled with RemoveUndefined, while Textfield supports interactive text input/output. The objects include cols and a structured set of labeled coordinate groups A1..F1, A2..F2, …, A7..F7, which organize and display the sieve results in a grid-like arrangement. Suitable for secondary to early university learners, and effective for classroom demonstrations and exploratory learning of number-theoretic patterns through graphing.
GeoGebra Commands & Parameters
RemoveUndefined(Flatten[Sequence[Sequence[If[IsPrime[Cell[X, Y]], UnicodeToLetter[X + 64] + (Y)], Y, 1, Length[CellRange(A1,A99,"numeric")]], X, 1, Length[CellRange(A1,Z1,"numeric")]]]) → PrimesListTextfield(cols) → InputColsTextfield(rows) → InputRowsTextfield(n) → InputStart
AI Drawing Prompt Reference
Create an interactive visualization showing how the distribution of numbers transforms into recognizable 2D patterns through the sieve process. Use input fields for column count, row count, and starting number. Filter prime numbers iteratively and map them to coordinate points, arranging them in a grid with letters labeling distinct primes to reveal the structure and patterns in the plane.
The prompt above was compiled from the original drawing commands and is for reference only.