[i]Enjoy the phenomena you witness here! [/i] [br][br]After doing so, please answer the questions that follow.[br][br][b]To explore this phenomenon within GeoGebra Augmented Reality[/b], see the directions below the questions and first video.
Suppose the length of the [b][color=#9900ff]purple segment[/color][/b] is [i][b][color=#9900ff]a[/color][/b][/i]. [br][br]Express the distance from the center of the dodecahedron to any vertex [b][color=#9900ff]in terms of [i]a[/i][/color][/b].
Express the [b]distance between any 2 adjacent vertices[/b] of this regular dodecahedron [b][color=#9900ff]in terms of [i]a[/i][/color][/b].
How does [b]your answer for (2)[/b] relate to the value of the golden ratio?
1) Open up GeoGebra 3D app on your device.[br][br]2) Go to MENU (upper left corner). [br] Go to OPEN. Under Search, type [b]Mt3TwsUK[/b]. [br] Find the slider named [b]h[/b] and slide it slowly.