Aug 29, 2021 · There are exactly five Platonic solids: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. The above tape-and-cardboard discussion provides very strong evidence that this theorem is true, but we must acknowledge that more work would be required to achieve a completely airtight proof of this theorem.All the important parameters of the small rhombicosidodecahedron (an Archimedean solid having 20 congruent equilateral triangular, 30 congruent square & 12 congruent regular pentagonal faces each of equal edge length) such as normal distances & solid angles subtended by the faces, inner radius, outer radius, mean radius, surface area & volume have been calculated by using HCR's formula for ...Platonic Solids are shapes which form part of Sacred Geometry. They were first catalogued by the ancient philosopher, Plato (hence their name), although evidence of these most magical of shapes has been found around the world for in excess of 1,000 years prior to Plato's documentation. ... The Octahedron has 8 faces, 6 vertices and 12 edges. It ...A regular icosahedron is a convex polyhedron consisting of 20 faces, 30 edges, and 12 vertices. It is one of the five platonic solids, one with the maximum number of faces. Five equilateral triangular faces of the Icosahedron meet each other at the vertex. It is often denoted by Schläfli symbol {3,5}, or by its vertex figure as 3.3.3.3.3 or 35.The regular octahedron, often simply called "the" octahedron, is the Platonic solid with six polyhedron vertices, 12 polyhedron edges, and eight equivalent equilateral triangular faces, denoted 8{3}. It is illustrated above together with a wireframe version and a net that can be used for its construction. The regular octahedron is also the uniform polyhedron with …Platonic solid means a regular convex polyhedron. In each vertex of these polyhedra ... This polyhedron has 12 edges and they have 3 different spatial orientations. That is the reason why we call ...The five Platonic solids—tetrahedron, cube, octahedron, dodecahedron, and icosahedron—have found many applications in mathematics, science, and art. Path planning for the Platonic solids had been suggested, but not validated, except for solving the rolling-cube puzzles for a cubic dice. We developed a path-planning algorithm based on the breadth-first-search algorithm that generates a ...Feb 20, 2023 · Work systematically: Try to build a Platonic solid with three squares at each vertex, then four, then five, etc. Keep going until you can make a definitive statement about Platonic solids with square faces. Repeat this process with the other regular polygons you cut out: pentagons, hexagons, heptagons, and octagons.Exploring Platonic Solids using HTML5 Animation. Theaetetus' Theorem (ca. 417 B.C. - 369 B.C.) There are precisely five regular convex polyhedra or Platonic solid. A platonic solid is a polyhedron all of whose faces are congruent regular polygons, and where the same number of faces meet at every vertex. A polyhedron is a solid figure bounded ...Today's crossword puzzle clue is a general knowledge one: The Platonic solid with the most faces. We will try to find the right answer to this particular crossword clue. Here are the possible solutions for "The Platonic solid with the most faces" clue. It was last seen in British general knowledge crossword. We have 1 possible answer in our ...Platonic Solids and Tilings. Platonic solids and uniform tilings are closely related as shown below. Starting from the tetrahedron we have polyhedra with three triangles, squares and pentagons at each vertex. The next step is the plane tiling with three hexagons at each vertex.Today's crossword puzzle clue is a general knowledge one: The Platonic solid with the most faces. We will try to find the right answer to this particular crossword clue. Here are the possible solutions for "The Platonic solid with the most faces" clue. It was last seen in British general knowledge crossword. We have 1 possible answer in our ...Geometry. Geometry questions and answers. The net below represents a regular polyhedron, or Platonic Solid. How many edges does the Platonic Solid have? a. 6 b. 8 c. 10 d. 12.The Crossword Solver found 30 answers to "The Platonic solid with the most faces", 11 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues . Enter a Crossword Clue. Sort by Length.A dodecahedron is a platonic solid that consists of 12 sides and 12 pentagonal faces. The properties of a dodecahedron are: A dodecahedron has 12 pentagonal sides, 30 edges, and 20 vertices and at each vertex 3 edges meet. The platonic solid has 160 diagonals.InvestorPlace - Stock Market News, Stock Advice & Trading Tips One of the most important things about finding stocks to buy is having a divers... InvestorPlace - Stock Market N...A platonic solid is a solid whose faces are regular polygons. All its faces are congruent, that is all its faces have the same shape and size. Also all its edges have the same length. Platonic solids are regular tetrahedron. The most common platonic solid is the cube. It has six faces and each face is a square.Any attempt to build a Platonic solid with S>6 would fail because of overcrowding. We have arrived at an important theorem, usually attributed to Plato: Plato's Theorem: There are exactly five Platonic solids: the tetrahedron, cube, octahedron, dodecahedron and icosahedron. Show more.A Platonic solid is a polyhedron, or 3 dimensional figure, in which all faces are congruent regular polygons such that the same number of faces meet at each vertex.There are five such solids: the cube (regular hexahedron), the regular tetrahedron, the regular octahedron, the regular dodecahedron, and the regular icosahedron.. The tetrahedron has four faces, …Today's crossword puzzle clue is a general knowledge one: The Platonic solid with the most faces. We will try to find the right answer to this particular crossword clue. Here are the possible solutions for "The Platonic solid with the most faces" clue. It was last seen in British general knowledge crossword. We have 1 possible answer in our ...Identify characteristics of the Platonic Solids.Platonic solids are particularly important polyhedra, but there are countless others. ... Truncated Tetrahedron 8 faces, 12 vertices, 18 edges. Cuboctahedron 14 faces, 12 vertices, 24 edges. Truncated Cube 14 faces, 24 vertices, 36 edges. Truncated Octahedron 14 faces, 24 vertices, 36 edges. Rhombicuboctahedron 26 faces, 24 vertices, 48 edges.1. With V, E, F as the numbers of vertices, edges and faces of a given polyhedron and based on Euler's polyhedron formula. V − E + F = 2 V − E + F = 2. it is quite simple to derive a necessary topological condition for Platonic solids. One uses p-sided polygons and q-valent vertices to calculate V and E. Inserting this in Euler's ...1. Let F F be the count of faces. Those all are N N -gonal. Then you have for the group order G = 2NF G = 2 N F. (Here " 2 2 " is the number of vertices per edge.) Dually you could considered V V to be the vertex count, all of which have S S edges incident. Then you have likewise G = 2SV G = 2 S V.Any attempt to build a Platonic solid with S>6 would fail because of overcrowding. We have arrived at an important theorem, usually attributed to Plato: Plato’s Theorem: There are exactly five Platonic solids: the tetrahedron, cube, octahedron, dodecahedron and icosahedron. Show more.One of the Platonic solids Crossword Clue. The Crossword Solver found 30 answers to "One of the Platonic solids", 4 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues .Platonic solid: Tetrahedron A tetrahedron has 4 faces which are equilateral triangles. It has 4 vertices (each touching 3 faces). It has 6 edges.Geometrical Shape With Four Edges And Corners Crossword Clue. ... Platonic solid with 12 edges 2% 5 SKIMP: Cut corners 2% 3 INS: Job-seekers' edges ...Platonic Solids. At the beginning of this course we defined regular polygons as particularly “symmetric” polygons, where all sides and angles are the same. We can do something similar for polyhedra. In a regular polyhedron all faces are all the same kind of regular polygon, and the same number of faces meet at every vertex.A seventh planet in the solar system was discovered in 1781 by the astronomer William Herschel (1738-1822), an event that once again demolished the model of the solar system based on Platonic solids. But not everyone learned from the humility shown by Kepler. Two hundred years later, the philosopher William Georg Friedrich Hegel (1770-1831 ...Regular polyhedra are also called Platonic solids (named for Plato). If you fix the number of sides and their length, there is one and only one regular polygon with that number of sides. That is, every regular quadrilateral is a square, but there can be different sized squares. Every regular octagon looks like a stop sign, but it may be scaled ...A week after a large-scale cleanup on Pandora that left the 900-block virtually empty of tents and people, the street is once again filled with people sheltering.¥ There are exactly FIVE that can be made: the Platonic solids, Þrst emphasized by Plato. ¥ Plato believed that each of the polyhedra represented an element, the combination of which resulted in the creation of all matter. ¥ Each polyhedron obeys Euler Õs Formula: # vertices + # faces - # edges = 2 4 + 4 - 6 = 2 8 + 6 - 12 = 2 6 + 8 - 12 = 2Answers for Three of the five Platonic solids have ___ triangles as faces crossword clue, 11 letters. Search for crossword clues found in the Daily Celebrity, NY Times, Daily Mirror, Telegraph and major publications. Find clues for Three of the five Platonic solids have ___ triangles as faces or most any crossword answer or clues for crossword answers.12. What is the measure of each interior angle of a regular pentagon? (Use the formula S = 180(n - 2), where S is the sum of the interior angles and n is the number of sides) _____ 13. How many regular pentagons can be put together at a vertex to form a solid? _____ 14. Briefly explain why there cannot be more than five Platonic solids.The Platonic Solids are five very special polyhedra. Consider a plane. It is flat and two dimensional. It is easy enough to construct polygons, i.e. Triangles, Quadrilaterals, Pentagons, and so forth. Furthermore, we may require that all their sides and angles are equal. We call such a figure a regular polygon.To calculate the number of faces of a Platonic solid, we can use Euler's formula: F + V - E = 2 Where: F = number of faces V = number of vertices E = number of edges In this case, we are given that the Platonic solid has 8 vertices and 12 edges. Substituting these values into the formula, we have: F + 8 - 12 = 2 Simplifying the equation, we get ...Details on the five platonic solids, with graphs. Lauren K. Williams, PhD Applets; Resources; Teaching; CV; The Platonic Solids Tetrahedron Face: Equilateral Triangle Faces ... Vertices: 4 Dihedral Angle: 70.53° Dual: Self Hexahedron (Cube) Face: Square Faces: 6 Edges: 12A cone has one face, one edge and no corners. A cone is defined as a hollow or solid object with a circular base that tapers upward to a point. The circular plane surface of the co...Regular icosahedron (12 vertices, 30 edges, 20 equilateral triangles as faces) At the top right of this app's control panel, you can select one of the Platonic solids. The position in the space can be set with the big button; depending on the setting, a vertex, the center of an edge or the center of a face will lie on the upward pointing z-axis ...No surface material is better suited to meet the needs of your kitchen than Hanex acrylic countertops. Expert Advice On Improving Your Home Videos Latest View All Guides Latest Vie...General Guidance. There are five Platonic solids: the tetrahedron, the cube, the the icosahedron, the octahedron, and the dodecahedron. Associate a Platonic solid with the graph whose vertices are its vertices and whose edges are its edges (ignore faces). Which of these graphs have Eulerian circuits, and why?As we saw in earlier articles, the sum of the angles of the four Platonic solids that represent Fire, Air, Earth & Water (the 4 Earthly Elements) equals the diameter of the Earth in miles (99.97% accuracy). Earth's polar diameter in 2013 (NASA) = 7899.86 miles. The equatorial diameter = 7926.33 miles.Across. 4. is a regular polyhedron with twelve pentagonal faces. 7. all angles are equal in measure. 9. each flat surface In any geometric solid. 10. is a regular polyhedron with …Benefits of Solving 12-Edge Platonic Solid Crosswords. Solving a 12-edge platonic solid crossword not only provides a fun and engaging pastime but also offers numerous mental benefits. These challenging puzzles help improve critical thinking skills, enhance problem-solving abilities, and broaden vocabulary.This seems unlikely, but reflects the fascination with these objects in classical Greece. In fact, Plato associated four of the Platonic solids, the tetrahedron, octahedron, icosahedron, and cube, with the four Greek elements: fire, air, water, and earth. They associated the dodecahedron with the universe as a whole.POLYHEDRA, GRAPHS AND SURFACES 3.2. Platonic Solids and Beyond Classifying the Platonic Solids ... edges and faces for each of the Platonic solids and, if you do so, you'll end up with a table like the following. ... cube 4 3 8 12 6 octahedron 3 4 6 12 8 dodecahedron 5 3 20 30 12 icosahedron 3 5 12 30 20 The following diagram shows the five ...A regular polygon is a p-sided polygon in which the sides are all the same length and are symmetrically placed about a common center.A polygon is convex if the line connecting any two vertices remains inside or on the boundary of the polygon.. Definition 8.1. A polyhedron is a three-dimensional solid which consists of a collection of polygons …The Platonic Solids. The Platonic Solids belong to the group of geometric figures called polyhedra. A polyhedron is a solid bounded by plane polygons. The polygons are called faces; they intersect in edges, the points where three or more edges intersect are called vertices. A regular polyhedron is one whose faces are identical regular polygons.E.g., the Cube has 12 edges and the Dodecahedron has 12 faces. Do their centers coincide on a unit ... (Note: I didn't bother with vertexes because the dual of one Platonic Solid will swap the vertexes and faces, even with the Tetrahedron despite being a self-dual.) geometry; platonic-solids; Share. Cite. Follow asked Jul 8 ...Possible answer: C. U. B. E. Did you find this helpful? Share. Tweet. Look for more clues & answers. Platonic solid with 12 edges - crossword puzzle clues and possible …ludo. schiavone. sturdy fabric. leaves. persuasive. failure. All solutions for "platonic" 8 letters crossword answer - We have 3 clues, 11 answers & 49 synonyms from 6 to 15 letters. Solve your "platonic" crossword puzzle fast & easy with the-crossword-solver.com.The icosahedron's definition is derived from the ancient Greek words Icos (eíkosi) meaning 'twenty' and hedra (hédra) meaning 'seat'. It is one of the five platonic solids with equilateral triangular faces. Icosahedron has 20 …Title: Platonic Solids 1 Platonic Solids And Zome System 2 Regular Polygons A regular polygon is a polygon with all sides congruent and all angles congruent such as equilateral triangle, square, regular pentagon, regular hexagon, 3 By a (convex) regular polyhedron we mean a polyhedron with the properties that All itsThe five Platonic Solids have been known to us for thousands of years. These five special polyhedra are the tetrahedron, the cube, the octahedron, the icosahedron, and the dodecahedron. You might be surprised to find out that they are the only convex, regular polyhedra (if you want to read the definitions of those words, see the vocabulary page ).The crossword clue Seth of 'Platonic' with 5 letters was last seen on the September 26, 2023. We found 20 possible solutions for this clue. We think the likely answer to this clue is ROGEN. You can easily improve your search by specifying the number of letters in the answer.The five Platonic solids. tetrahedron. cube. octahedron. dodecahedron. icosahedron. There are only five geometric solids whose faces are composed of regular, identical polygons. These polyhedra, called the Platonic solids or bodies, are the regular tetrahedron, the cube, the regular octahedron, the regular dodecahedron, and the regular ...The Platonic solids—tetrahedron, cube, octahedron, dodecahedron, and icosahedron—are central to sacred geometry and spirituality, embodying balance and symmetry. Each solid is linked to the classical elements—earth, air, fire, water, and ether—highlighting the interconnectedness of the universe. These shapes represent more than mere ...The five Platonic Solids . How to make a Tetrahedron, Cube and Octahedron . 1. Take a piece of A4 paper 2. Place the string at the bottom of the paper, with ... It has 12 edges. It has 4 faces. Each face is an equilateral triangle. 3 triangles meet at each vertex. It has 6 edges. It has 8 faces. Each face is an equilateralAn octahedron has 12 edges and an icosahedron has 30 edges. Explanation: An octahedron has 12 edges. Each face of an octahedron is a triangle, so there are 8 triangles in total. Since each edge is shared by 2 triangles, we can calculate the number of edges by dividing the number of triangles by 2, which gives us 8/2 = 4 edges per triangle.Definition. A polyhedron is a solid (3-dimensional) figure bounded by polygons. A polyhedron has faces that are flat polygons, straight edges where the faces meet in pairs, and vertices where three or more edges meet. The plural of polyhedron is polyhedra.The symbolic meaning of Platonic solids is a key to understanding the building blocks of life and creation. What's more, contemplating the symbolism of these polyhedrons offers a lot of insight, illumination and awesome glimpses into how reality is formed ... 12 edges, and 6 vertices. Both as a fundamental building block and as an element, the ...The Crossword Solver found 30 answers to "the platonic solid with the most faces 11", 11 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues . A clue is required.A few solid earnings reports have been posted but they may not be enough to turn this market, writes James "Rev Shark" DePorre, who says Tesla (TSLA) reports afte...The Crossword Solver found 30 answers to "Be platonic? I"m curiously the opposite (12)", 12 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues .respectively called edges and vertices of the given polytope. As for graphs, the degree of a vertex v of a polytope is the number of edges incident to v. Let P be a polytope. We make the following geometric observations. Remark 2. The boundary of every face of P consists of at least 3 edges. The degree of every vertex of P is at least 3.The symbolic meaning of Platonic solids is a key to understanding the building blocks of life and creation. What's more, contemplating the symbolism of these polyhedrons offers a lot of insight, illumination and awesome glimpses into how reality is formed ... 12 edges, and 6 vertices. Both as a fundamental building block and as an element, the ...Platformer solids are standard, vaulted polyhedrons inbound 3D equipped equivalent faces. There were 5 types of planalto solid. Learn all about the interesting concept of platonic forms, their properties, its types along the solving examples. Math. About Us. More. Resources. Math Worksheets. Math Questions. Math Puzzles. Math Games.Each has thirty edges. Here is the compound of the icosahedron and dodecahedron which shows these relationships very clearly. The dual to the tetrahedron, {3, 3}, is another tetrahedron, {3, 3}, facing in the opposite directions. Combining the two mutually dual tetrahedra into a compound results in a solid which Kepler called the stella octangula.Clue: One of the Platonic solids. One of the Platonic solids is a crossword puzzle clue that we have spotted 1 time. There are related clues (shown below). Referring crossword puzzle answers. CUBE; Likely related crossword puzzle clues. Sort A-Z. Block; Die; Cut up, as cheese, perhaps ...Crossword Clue. Here is the solution for the Properties of a solid object in motion (12) clue that appeared on February 3, 2024, in The Puzzler puzzle. We have found 20 answers for this clue in our database. The best answer we found was AERODYNAMICS, which has a length of 12 letters. We frequently update this page to help you solve all your ...Crossword Clue. Here is the solution for the Platonic concepts clue featured on January 1, 1980. We have found 40 possible answers for this clue in our database. Among them, one solution stands out with a 94% match which has a length of 4 letters. You can unveil this answer gradually, one letter at a time, or reveal it all at once.The 13 Archimedean solids are the convex polyhedra that have a similar arrangement of nonintersecting regular convex polygons of two or more different types arranged in the same way about each vertex with all sides the same length (Cromwell 1997, pp. 91-92). The Archimedean solids are distinguished by having very high symmetry, thus excluding solids belonging to a dihedral group of symmetries ...The name of each figure is derived from its number of faces: respectively 4, 6, 8, 12, and 20. [1]The aesthetic beauty and symmetry of the Platonic solids have made them a favorite subject of geometers for thousands of years. They are named for the ancient Greek philosopher Plato who theorized that the classical elements were constructed from the regular solids.Icosahedron. Icosahedron is one of only five Platonic solids. This is a regular polyhedron with 12 vertices, 30 edges, and 20 faces. All faces are regular triangles and at every vertex meet five faces and five edges. Drag the mouse to rotate the icosahedron. Use the right button to remove and put back individual faces.built on these platonic solids in his work "The Elements". He showed that there are exactly five regular convex polyhedra, known as the Platonic Solids. These are shown below. Each face of each Platonic solid is a convex regular polygon. Octahedron. 8 triangular faces 12 edges 8 vertices . Cube . 6 square facesDo you want to learn how to edge your lawn? Click here for a step-by-step guide explaining how to effectively and efficiently edge a lawn. Expert Advice On Improving Your Home Vide...In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. ... It has 12 faces, 20 vertices, 30 edges, and 160 diagonals. It is represented by the Schläfli symbol {5,3}. In geometry, a quasiregular polyhedron is a uniform polyhedron that has exactly two kinds of regular faces, which alternate around ...Geometrical Shape With Four Edges And Corners Crossword Clue. ... Platonic solid with 12 edges 2% 5 SKIMP: Cut corners 2% 3 INS: Job-seekers' edges ...Volume = 5× (3+√5)/12 × (Edge Length) 3. Surface Area = 5×√3 × (Edge Length) 2. It is called an icosahedron because it is a polyhedron that has 20 faces (from Greek icosa- meaning 20) When we have more than one icosahedron they are called icosahedra. When we say "icosahedron" we often mean "regular icosahedron" (in other words all faces ...A Platonic solid is any of the five regular polyhedrons - solids with regular polygon faces and the same number of faces meeting at each corner - that are possible in three dimensions. They are the tetrahedron (a pyramid with triangular faces), the octahedron (an eight-sided figure with triangular faces), the dodecahedron (a 12-sided figure with pentagonal faces), the icosahedron (a 20 ...Separating the Solids - Wort separation is an essential part of the brewing process. Learn about wort separation, brewing beer and take a look inside a microbrewery. Advertisement ...Answers for platonic character, 2 wds crossword clue, 4 letters. Search for crossword clues found in the Daily Celebrity, NY Times, Daily Mirror, Telegraph and major publications. Find clues for platonic character, 2 wds or most any crossword answer or clues for crossword answers.Geometry - Platonic Solids/Lines, Planes, and Angles in 3D Space. geometric solid. Click the card to flip 👆. 3D closed spatial figure that has height, width, and depth. Click the card to flip 👆. 1 / 21.Prefix with platonic. Crossword Clue Here is the solution for the Prefix with platonic clue featured on January 1, 2013. We have found 40 possible answers for this clue in our database. Among them, one solution stands out with a 94% match which has a length of 3 letters. You can unveil this answer gradually, one letter at a time, or reveal it ...Study with Quizlet and memorize flashcards containing terms like Tetrahedron faces, Tetrahedron Vertices, Tetrahedron edges and more. Scheduled maintenance: March 23, 2024 from 11:00 PM to 12:00 AM hello quizletPolyhedron A polyhedron is formed by four or more polygons that intersect only at their edges. The faces of a regular polyhedron are all congruent regular polygons and the same number of faces intersect at each vertex. 8. In a solid if F = V = 5, then the number of edges in this shape is. (a) 6 (b) 4 (c) 8.Platonic Solids Test Math. Flashcards. Learn. Test. Match. Cube (Hexahedron) Click the card to flip 👆. 6 faces, 12 edges, 8 vertices. Click the card to flip 👆 ...There are exactly five Platonic solids: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. The above tape-and-cardboard discussion provides very strong evidence that this theorem is true, but we must acknowledge that more work would be required to achieve a completely airtight proof of this theorem.Place the platonic solid anywhere in the scene. Click the Platonic Solids tool on the Create tab. Move the cursor into the scene view. Note. You can hold Alt to detach the platonic solid from the construction plane. Click LMB to place the platonic solid anywhere in the scene view. If you press Enter without clicking, Houdini places the platonic ...Duality is when one platonic solid is put inside of its dual and the number of vertices on the inner shape match the number of faces on the outer shape. 400. ... and 12 edges in a Octahedron. How many faces, vertices, and edges in a Octahedron? 500. d. 80%. What percent of the worlds crayfish reside in Louisiana? a. 7% b. 23% c. 40% d. 80%. 500 ...Cube. The second platonic solid is the cube or hexahedron, having 6 square sides, Give your brain some exercise and solve your way through brilliant cross, Euler's Formula: V - E + F = 2 n: number of edges surrounding each face. F: number of faces. E:, A Platonic solid is any of the five regular polyhedrons – solids with regular polygon faces and t, Here are five factors to consider going into the big game: 1. A , Greeks including Plato, Aristotle, and Euclid and are known today as the \Platonic solids.&, In mathematics, there are exactly five Platonic solids. These, Work systematically: Try to build a Platonic solid with three squares , Answers for RAISE A NUMBER TO ITS THIRD POWER crossword clue. Searc, cube has eight vertices, twelve edges and six faces, and it is another, An overview of Platonic solids. Each of the Platonic soli, The Crossword Solver found 30 answers to "platonic li, We do it by providing Washington Post Sunday Crossword 12/17/2023 , The Stars have been getting solid goaltending from Jake Oettin, The Crossword Solver found 30 answers to "solid , E.g., the Cube has 12 edges and the Dodecahedron has 12, The Dodecahedron – 6480°. The dodecahedron is the most elus, Buckminster Fuller’s explanation of ‘jitterbugging’ once agai.