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Jeener Flower

Jeener Flower
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2016-10-04 01:41
Coordinate GeometrySolid Geometry
In collections surface 3D surface 3D
Jeener Flower is a beautiful mathematical figure constructed using surface equations in coordinate geometry. It involves key mathematical concepts such as surface and plane equations. Using the Surface command in GeoGebra, this unique figure can be constructed. Suitable for high school mathematics education and learning, particularly in coordinate and solid geometry.

GeoGebra Commands & Parameters

  1. Surface(real((u + (ί * v))^(p) / a - (u + (ί * v))^(q) / b), real((ί * ((u + (ί * v))^(p) / a + (u + (ί * v))^(q) / b))), real((u + (ί * v))^(r) / c), u, (-U), 0, v, (-V), 0) → e
  2. Surface(real((u + (ί * v))^(p) / a - (u + (ί * v))^(q) / b), real((ί * ((u + (ί * v))^(p) / a + (u + (ί * v))^(q) / b))), real((u + (ί * v))^(r) / c), u, (-U), 0, v, 0, V) → f
  3. Surface(real((u + (ί * v))^(p) / a - (u + (ί * v))^(q) / b), real((ί * ((u + (ί * v))^(p) / a + (u + (ί * v))^(q) / b))), real((u + (ί * v))^(r) / c), u, 0, U, v, 0, V) → h
  4. Surface(real((u + (ί * v))^(p) / a - (u + (ί * v))^(q) / b), real((ί * ((u + (ί * v))^(p) / a + (u + (ί * v))^(q) / b))), real((u + (ί * v))^(r) / c), u, 0, U, v, (-V), 0) → g

AI Drawing Prompt Reference

Create a 3D Jeener Flower composed of four surfaces. Each surface is defined by complex polynomial equations involving variables u and v. First, draw the surface where u ranges from -U to 0 and v ranges from 0 to V. Then, draw the surface where u ranges from 0 to U and v ranges from 0 to V. Next, draw the surface where u ranges from 0 to U and v ranges from 0 to -V. Finally, draw the surface where u ranges from 0 to U and v ranges from -V to 0.
The prompt above was compiled from the original drawing commands and is for reference only.