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## Homework Statement

Consider a tiling of the unit sphere in ##\mathbb R^3## by equilateral triangles so that the triangles

meet full edge to full edge (and vertex to vertex). Suppose n such triangles meet an one

vertex. Show that the only possibilities for n are

## n=3 ##, ##n = 4##, or ##n=5##

## Homework Equations

## The Attempt at a Solution

I guess the main thing I need help with is interpretation of the question.

Thank you