MathPlotAI Logo MathPlotAI

Interactive Graph Paper (Grid Paper) Generator

Interactive Graph Paper (Grid Paper) Generator
Loading the math board and drawing, please wait…
2021-04-21 13:15
PolygonVectorFunctionSequenceCoordinate Geometry
This example demonstrates an interactive graph paper (grid paper) generator that allows users to adjust the coordinate axis range, grid step size, and unit length through input fields, producing a real-time grid background with tick marks and labels. The core mathematical concepts include coordinate systems, scale ratios, grid partitioning, and an auxiliary plotting environment for function graphs. Construction highlights: GeoGebra commands such as Textfield for input boxes, Sequence for generating tick sequences, Vector for drawing grid lines, and Polygon for building grid cells; key objects include xint1, inputScaleX, yint1, inputScaleY, minor, stepX, stepY, and unitx/unity, all linked to input boxes for dynamic updates. Suitable for middle and high school math teachers to demonstrate function graphing, geometric constructions, or for students to explore coordinate systems independently, and also useful as a background template for creating math worksheets.

GeoGebra Commands & Parameters

  1. Textfield(xint1') → inputScaleX
  2. Textfield(yint1') → inputScaleY
  3. Textfield(xmin') → inputMinX
  4. Textfield(xmax') → inputMaxX
  5. Textfield(ymin') → inputMinY
  6. Textfield(ymax') → inputMaxY
  7. Textfield(stepX) → InputStepX
  8. Textfield(stepY) → InputStepY
  9. Textfield(labelX) → InputUnitX
  10. Textfield(labelY) → InputUnitY
  11. Textfield(textXa) → InputBox3
  12. Textfield(textYa) → InputBox4
  13. Textfield(textLabel1a) → InputBox1
  14. Textfield(textLabel2a) → InputBox2
  15. Sequence(Sequence[Segment[((xint2 * (j - 1)) + (xint1 * i), ymax), ((xint2 * (j - 1)) + (xint1 * i), ymin)], i, 1, 4], j, 1, ceil(xmax / xint2)) → list5
  16. Sequence(Sequence[Segment[(((-xint2) * (j - 1)) - (xint1 * i), ymax), (((-xint2) * (j - 1)) - (xint1 * i), ymin)], i, 1, 4], j, 1, ceil(abs(xmin) / xint2)) → list5'
  17. Sequence(Sequence[Segment[(xmin, ((j - 1) * yint2) + (yint1 * i)), (xmax, ((j - 1) * yint2) + (yint1 * i))], i, 1, 4], j, 1, ceil(ymax / yint2)) → list6
  18. Sequence(Sequence[Segment[(xmin, ((-(j - 1)) * yint2) - (yint1 * i)), (xmax, ((-(j - 1)) * yint2) - (yint1 * i))], i, 1, 4], j, 1, ceil(abs(ymin) / yint2)) → list6'
  19. Sequence(Segment[(((-xint2) * i), ymax), (0 - (xint2 * i), ymin)], i, 1, ceil(abs(xmin) / xint2)) → list3'
  20. Sequence(Segment[(xmin, ((-yint2) * i)), (xmax, ((-yint2) * i))], i, 1, ceil(abs(ymin) / yint2)) → list4'
  21. Vector((x(Export_2), 0), (x(Export_1), 0)) → u
  22. Vector((0, y(Export_2)), (0, y(Export_1))) → v
  23. Polygon(Export_1, (x(Export_1), y(Export_2)), Export_2, (x(Export_2), y(Export_1))) → poly1, export_1, h, export_2, i
  24. Sequence(Segment[(0 + (xint2 * i), ymax), (0 + (xint2 * i), ymin)], i, 0, ceil(xmax / xint2)) → list3
  25. Sequence(Segment[(xmin, (yint2 * i)), (xmax, (yint2 * i))], i, 0, ceil(ymax / yint2)) → list4

AI Drawing Prompt Reference

Create an interactive coordinate grid background with x-axis and y-axis coordinate system. Provide input fields for users to set parameters including x and y axis ranges (minimum and maximum values), grid step sizes, and unit labels. The grid consists of horizontal and vertical lines covering the entire coordinate area, forming uniform square cells. The coordinate axes have tick marks with corresponding numerical labels. The grid background updates in real-time, suitable for math teaching and function graphing.
The prompt above was compiled from the original drawing commands and is for reference only.