The Four Kepler

Discovery A: The Star Polygon
Given an image of a regular pentagon & star-shaped pentagram. Answer the questions below.
Question 1:[br]Is the pentagram a polygon?
Question 2:[br]Is the pentagram a regular polygon?
Question 3:[br]If we can have star-shaped polygons (2D), can we have star-shaped solids (3D)?
Investigation B: The Big Four
Observe the properties / characteristics of the four solids below.[br][br]*Focus: face shape, face regularity, vertex regularity, convexity, [math]360°[/math] limit, vertex cross-section
Solid I
Describe the properties observed in Solid I.
Solid II
Describe the properties observed in Solid II.
Solid III
Describe the properties observed in Solid III.
Solid IV
Describe the properties observed in Solid IV.
Regularity Analysis
Do these four solids deserve the title of 'Regular Polyhedra'?[br][br][b]Guiding Questions[/b]
Question 1:[br]What are the requirements for a regular (Platonic) Solid?
Question 2:[br]Do the four solids above meet these requirements?[br][br]
Question 3:[br]Are the four solids above semi-regular (Archimedean)?[br][br]
Conclusion:[br][list][*]Because they satisfy the symmetry and face-vertex consistency of Platonic solids, they are classified as Regular Non-Convex Polyhedra.[/*][*]They are just as regular as a cube or tetrahedron, but they have a non-convex space.[/*][*]By allowing faces to be stars or to pass through one another, we expanded the Platonic family from 5 members to 9.[/*][*]These additional four solids are considered special Platonic Solids.[/*][*]They are called Kepler-Poinsot Solids: Small Stellated Dodecahedron, Great Stellated Dodecahedron, Great Dodecahedron, & Great Icosahedron.[/*][/list]
Kepler vs. Poinsot
The Kepler-Poinsot solids are the only [b]four regular non-convex polyhedra in existence[/b]. While the five Platonic solids are simple and convex, these four are star-like shape and intersect themselves.[br][br]Why are they regular?[br][list][*]They follow the same strict rules as the Platonic solids.[/*][*]All their faces are identical, regular polygons (pentagon / pentagram)[/*][*]The same number of faces meet at each vertex[br][/*][/list][br]Why are they non-Convex?[br][list][*]The faces self-intersect / cut through one another.[/*][*]The Line Segment Test: If you select two points, a straight line segment connecting them may pass through the empty space outside the solid.[/*][/list][br][b]The Kepler Solids (Outward Stars)[/b][br][list][*]They are formed by stellation - imagine taking a regular dodecahedron and extending its faces outward until they meet to form points (analogy: how you draw a 2D star by extending the sides of a pentagon).[/*][*]Example 1: Small Stellated Dodecahedron - formed by pentagram faces. It looks like a dodecahedron with a five-sided pyramid on each face.[/*][/list][img]data:image/png;base64,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[/img][br][list][*]Example 2: Great Stellated Dodecahedron - made of pentagrams, but it is pointier and based on a different arrangement of the triangular points.[/*][/list][img]data:image/png;base64,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[/img][br][br][b]The Poinsot Solids (Inward Stars)[/b][br][list][*]They are formed by 'greatening' / expanding. Instead of extending edges outward, these solids use large, overlapping faces that pass through the center of the shape inward.[/*][*]Example 1: Great Dodecahedron - It has the same outer shell as a regular dodecahedron (20 pentagons), but its faces are five-pointed stars that intersect deep inside the shape.[/*][/list][img]data:image/png;base64,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[/img][br][list][*]Example 2: Great Icosahedron - It has the same outer shell as a regular icosahedron (20 triangles), but it is composed of large, intersecting triangles that create a complex star shape.[/*][/list][img]data:image/png;base64,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[/img][br]Summary:[br][img]data:image/png;base64,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[/img]
Fermer

Information: The Four Kepler