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- https://math.libretexts.org/Courses/Coastline_College/Math_C104%3A_Mathematics_for_Elementary_Teachers_(Tran)/12%3A_Geometry/12.05%3A_Platonic_SolidsIf you fix the number of sides and their length, there is one and only one regular polygon with that number of sides. The key fact is that for a three-dimensional solid to close up and form a polyhedr...If you fix the number of sides and their length, there is one and only one regular polygon with that number of sides. The key fact is that for a three-dimensional solid to close up and form a polyhedron, there must be less than 360° around each vertex. If a Platonic solid has square faces, then three faces can meet at each vertex, but not more than that. If a Platonic solid has faces that are regular pentagons, then three faces can meet at each vertex, but not more than that.
- https://math.libretexts.org/Courses/Coalinga_College/Math_for_Educators_(MATH_010A_and_010B_CID120)/11%3A_Geometry/11.05%3A_Platonic_SolidsIf you fix the number of sides and their length, there is one and only one regular polygon with that number of sides. The key fact is that for a three-dimensional solid to close up and form a polyhedr...If you fix the number of sides and their length, there is one and only one regular polygon with that number of sides. The key fact is that for a three-dimensional solid to close up and form a polyhedron, there must be less than 360° around each vertex. If a Platonic solid has square faces, then three faces can meet at each vertex, but not more than that. If a Platonic solid has faces that are regular pentagons, then three faces can meet at each vertex, but not more than that.
- https://math.libretexts.org/Courses/Hartnell_College/Mathematics_for_Elementary_Teachers/12%3A_Geometry/12.05%3A_Platonic_SolidsIf you fix the number of sides and their length, there is one and only one regular polygon with that number of sides. The key fact is that for a three-dimensional solid to close up and form a polyhedr...If you fix the number of sides and their length, there is one and only one regular polygon with that number of sides. The key fact is that for a three-dimensional solid to close up and form a polyhedron, there must be less than 360° around each vertex. If a Platonic solid has square faces, then three faces can meet at each vertex, but not more than that. If a Platonic solid has faces that are regular pentagons, then three faces can meet at each vertex, but not more than that.
- https://math.libretexts.org/Courses/Teachers_College_Columbia_University/Book%3A_Mathematics_for_Elementary_Teachers_(Manes)/02%3A_Spatial_Relations/2.05%3A_Platonic_SolidsIf you fix the number of sides and their length, there is one and only one regular polygon with that number of sides. The key fact is that for a three-dimensional solid to close up and form a polyhedr...If you fix the number of sides and their length, there is one and only one regular polygon with that number of sides. The key fact is that for a three-dimensional solid to close up and form a polyhedron, there must be less than 360° around each vertex. If a Platonic solid has square faces, then three faces can meet at each vertex, but not more than that. If a Platonic solid has faces that are regular pentagons, then three faces can meet at each vertex, but not more than that.
- https://math.libretexts.org/Courses/Barton_Community_College/Book%3A_Technical_Mathematics_(Turner)/08%3A_Geometry/8.07%3A_Platonic_SolidsIf you fix the number of sides and their length, there is one and only one regular polygon with that number of sides. The key fact is that for a three-dimensional solid to close up and form a polyhedr...If you fix the number of sides and their length, there is one and only one regular polygon with that number of sides. The key fact is that for a three-dimensional solid to close up and form a polyhedron, there must be less than 360° around each vertex. If a Platonic solid has square faces, then three faces can meet at each vertex, but not more than that. If a Platonic solid has faces that are regular pentagons, then three faces can meet at each vertex, but not more than that.
- https://math.libretexts.org/Courses/Las_Positas_College/Math_27%3A_Number_Systems_for_Educators/07%3A_Geometry/7.08%3A_Platonic_SolidsIf you fix the number of sides and their length, there is one and only one regular polygon with that number of sides. The key fact is that for a three-dimensional solid to close up and form a polyhedr...If you fix the number of sides and their length, there is one and only one regular polygon with that number of sides. The key fact is that for a three-dimensional solid to close up and form a polyhedron, there must be less than 360° around each vertex. If a Platonic solid has square faces, then three faces can meet at each vertex, but not more than that. If a Platonic solid has faces that are regular pentagons, then three faces can meet at each vertex, but not more than that.
