Virus Morphology

Loading the math board and drawing, please wait…

2020-02-04 06:45

This example demonstrates the 3D spherical morphology of a virus and its surface structures. Core math concepts include spheres, matrices, calculus, and logic. Construction highlights involve commands like Intersect, Mirror, CurveCartesian, Circle, Sequence, Join, and Sphere to create viral surface protrusions and patterns. Suitable for high school students and math enthusiasts studying spatial geometry and computational geometry.

GeoGebra Commands & Parameters

Intersect(xAxis, yAxis) → O_1
Mirror(O, HH) → O'
Mirror(HH, O) → N_1
Mirror(GG, O) → N
CurveCartesian(x(O + (f1(t) * u) + (f2(t) * v) + (f3(t) * w)), y(O + (f1(t) * u) + (f2(t) * v) + (f3(t) * w)), t, (-L_2), L_2) → g
Circle(O, Rad, xOyPlane) → k_1
Circle(O, Rad, xOyPlane) → d
Sequence(Sequence[(x(O), y(O)) + ((((a + b) * cos(i° + j° + t)) * cos(i° - j° + t)) * u) + ((((a + b) * sin(i° + j° + t)) * cos(i° - j° + t)) * v) + (((a + b) * sin(i° - j° + t)) * w), i, 0, 360, Mutation], j, 0, k, Mutation) → liste12
Sequence(Sequence[(x(O), y(O)) + (((a * cos(i° + j°)) * cos(i° - j°)) * u) + (((a * sin(i° + j°)) * cos(i° - j°)) * v) + ((a * sin(i° - j°)) * w), i, 0, 360, Mutation], j, 0, k, Mutation) → liste13
Join(liste12) → liste14
Join(liste13) → liste15
Sequence(Segment[Element[liste14, i], Element[liste15, i]], i, 1, Length[liste14]) → liste16
Sphere(O, a) → i

AI Drawing Prompt Reference

Draw a spherical virus morphology with surface structures, showing core and protrusions. Start by constructing intersection points and mirror relationships of coordinate axes, then use sphere and curve commands to create basic shapes of the viral surface, followed by sequence and join commands to generate complex surface textures and patterns, finally combine all parts into a complete virus model.

The prompt above was compiled from the original drawing commands and is for reference only.