Double Toblerone! Quick Modeling Exploration in GeoGebra AR & 3D

Double Toblerone! Quick Modeling Exploration in GeoGebra AR & 3D
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2019-07-19 06:52
① This example demonstrates a 3D solid resembling a double Toblerone chocolate bar, built in GeoGebra's Augmented Reality (AR) and 3D views, with two parameters a and b controlling its dimensions and shape. ② The core mathematical concepts involve solid geometry (prisms), symmetry, and parametric modeling, while also touching on functions, arithmetic, and perimeter as foundational ideas, but the focus is on spatial visualization and dynamic adjustment of 3D objects. ③ Construction highlights: Based on the summary, only two objects (a and b) are used, likely sliders or numeric values, which drive the model's size and proportions, showcasing GeoGebra's parameter-driven geometry and suitability for immersive AR exploration. ④ This is ideal for high school or early college students learning solid geometry, 3D modeling, and the impact of parameter changes, as well as for teachers integrating AR into math lessons or exploratory activities.

GeoGebra Commands & Parameters

  1. a(x, y) = If[(-2 * 0.875) ≤ x ≤ (2 * 0.875) ∧ -5 ≤ y ≤ 5, ((-sqrt(3)) * abs(abs(x) - 0.875)) + (0.875 * sqrt(3))]
  2. b(x, y) = If[(-2 * 0.875) ≤ x ≤ (2 * 0.875) ∧ -5 ≤ y ≤ 5, 0]