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  2. Hexagon - Wikipedia

    en.wikipedia.org/wiki/Hexagon

    A truncated hexagon, t{6}, is a dodecagon, {12}, alternating two types (colors) of edges. An alternated hexagon, h{6}, is an equilateral triangle, {3}. A regular hexagon can be stellated with equilateral triangles on its edges, creating a hexagram. A regular hexagon can be dissected into six equilateral triangles by adding a

  3. Polyhex (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Polyhex_(mathematics)

    One example self-tiling with a pentahex. All of the polyhexes with fewer than five hexagons can form at least one regular plane tiling. In addition, the plane tilings of the dihex and straight polyhexes are invariant under 180 degrees rotation or reflection parallel or perpendicular to the long axis of the dihex (order 2 rotational and order 4 reflection symmetry), and the hexagon tiling and ...

  4. NYT ‘Connections’ Hints and Answers Today ... - AOL

    www.aol.com/nyt-connections-hints-answers-today...

    Get ready for all of today's NYT 'Connections’ hints and answers for #584 on Wednesday, January 15, 2025. Today's NYT Connections puzzle for Wednesday, January 15, 2025 The New York Times

  5. Magic hexagon - Wikipedia

    en.wikipedia.org/wiki/Magic_hexagon

    Magic T-hexagons have a number of properties in common with magic squares, but they also have their own special features. The most surprising of these is that the sum of the numbers in the triangles that point upwards is the same as the sum of those in triangles that point downwards (no matter how large the T-hexagon). In the above example,

  6. Euclidean tilings by convex regular polygons - Wikipedia

    en.wikipedia.org/wiki/Euclidean_tilings_by...

    Broken down, 3 6; 3 6 (both of different transitivity class), or (3 6) 2, tells us that there are 2 vertices (denoted by the superscript 2), each with 6 equilateral 3-sided polygons (triangles). With a final vertex 3 4.6, 4 more contiguous equilateral triangles and a single regular hexagon.

  7. Goldberg polyhedron - Wikipedia

    en.wikipedia.org/wiki/Goldberg_polyhedron

    They are defined by three properties: each face is either a pentagon or hexagon, exactly three faces meet at each vertex, and they have rotational icosahedral symmetry. They are not necessarily mirror-symmetric; e.g. GP(5,3) and GP(3,5) are enantiomorphs of each other. A Goldberg polyhedron is a dual polyhedron of a geodesic polyhedron.

  8. Truncated tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Truncated_tetrahedron

    Given the edge length .The surface area of a truncated tetrahedron is the sum of 4 regular hexagons and 4 equilateral triangles' area, and its volume is: [2] =, =.. The dihedral angle of a truncated tetrahedron between triangle-to-hexagon is approximately 109.47°, and that between adjacent hexagonal faces is approximately 70.53°.

  9. Cocoa was the top-performing commodity of 2024. The price of the bean surged as headwinds battered key producers. Prices are likely to stay high into 2025, analysts at ING said.