1D Line , Circular Arc , Parabola , Helix , Koch Curve
2D
Regular Polygons: Equilateral Triangle , Square , Pentagon , Hexagon , Heptagon , Octagon , Nonagon , Decagon , Hendecagon , Dodecagon , Hexadecagon , N-gon , Polygon Ring
Other Polygons: Triangle , Right Triangle , Isosceles Triangle , IR Triangle , Quadrilateral , Rectangle , Golden Rectangle , Rhombus , Parallelogram , Half Square Kite , Right Kite , Kite , Right Trapezoid , Isosceles Trapezoid , Tri-equilateral Trapezoid , Trapezoid , Obtuse Trapezoid , Cyclic Quadrilateral , Tangential Quadrilateral , Arrowhead , Concave Quadrilateral , Crossed Rectangle , Antiparallelogram , House-Shape , Symmetric Pentagon , Diagonally Bisected Octagon , Cut Rectangle , Concave Pentagon , Concave Regular Pentagon , Stretched Pentagon , Straight Bisected Octagon , Stretched Hexagon , Symmetric Hexagon , Parallelogon , Concave Hexagon , Arrow-Hexagon , Rectangular Hexagon , L-Shape , Sharp Kink , T-Shape , Square Heptagon , Truncated Square , Stretched Octagon , Frame , Open Frame , Grid , Cross , X-Shape , H-Shape , Threestar , Fourstar , Pentagram , Hexagram , Unicursal Hexagram , Oktagram , Star of Lakshmi , Double Star Polygon , Polygram , Polygon
Round Forms: Circle , Semicircle , Circular Sector , Circular Segment , Circular Layer , Circular Central Segment , Round Corner , Circular Corner , Circle Tangent Arrow , Drop Shape , Crescent , Pointed Oval , Two Circles , Lancet Arch , Knoll , Annulus , Annulus Sector , Curved Rectangle , Rounded Polygon , Rounded Rectangle , Ellipse , Semi-Ellipse , Elliptical Segment , Elliptical Sector , Elliptical Ring , Stadium , Spiral , Log. Spiral , Reuleaux Triangle , Cycloid , Double Cycloid , Astroid , Hypocycloid , Cardioid , Epicycloid , Parabolic Segment , Heart , Tricorn , Interarc Triangle , Circular Arc Triangle , Interarc Quadrangle , Intercircle Quadrangle , Circular Arc Quadrangle , Circular Arc Polygon , Claw , Half Yin-Yang , Arbelos , Salinon , Bulge , Lune , Three Circles , Polycircle , Round-Edged Polygon , Rose , Gear , Oval , Egg-Profile , Lemniscate , Squircle , Circular Square , Digon , Spherical Triangle
3D
Platonic Solids: Tetrahedron , Cube , Octahedron , Dodecahedron , Icosahedron
Archimedean Solids: Truncated Tetrahedron , Cuboctahedron , Truncated Cube , Truncated Octahedron , Rhombicuboctahedron , Truncated Cuboctahedron , Icosidodecahedron , Truncated Dodecahedron , Truncated Icosahedron , Snub Cube , Rhombicosidodecahedron , Truncated Icosidodecahedron , Snub Dodecahedron
Catalan Solids: Triakis Tetrahedron , Rhombic Dodecahedron , Triakis Octahedron , Tetrakis Hexahedron , Deltoidal Icositetrahedron , Hexakis Octahedron , Rhombic Triacontahedron , Triakis Icosahedron , Pentakis Dodecahedron , Pentagonal Icositetrahedron , Deltoidal Hexecontahedron , Hexakis Icosahedron , Pentagonal Hexecontahedron
Johnson Solids: Pyramids , Cupolae , Rotunda , Elongated Pyramids , Gyroelongated Pyramids , Bipyramids , Elongated Bipyramids , Gyroelongated Square Dipyramid , Gyrobifastigium , Disheptahedron , Snub Disphenoid , Sphenocorona , Disphenocingulum
Other Polyhedrons: Cuboid , Square Pillar , Triangular Pyramid , Square Pyramid , Regular Pyramid , Pyramid , Square Frustum , Regular Frustum , Frustum , Bent Pyramid , Regular Bipyramid , Bipyramid , Bifrustum , Frustum-Pyramid , Ramp , Right Wedge , Wedge , Half Tetrahedron , Rhombohedron , Parallelepiped , Regular Prism , Prism , Oblique Prism , Anticube , Antiprism , Prismatoid , Trapezohedron , Disphenoid , Corner , General Tetrahedron , Wedge-Cuboid , Half Cuboid , Skewed Cuboid , Ingot , Skewed Three-Edged Prism , Cut Cuboid , Truncated Cuboid , Obtuse Edged Cuboid , Elongated Dodecahedron , Truncated Rhombohedron , Obelisk , Bent Cuboid , Hollow Cuboid , Hollow Pyramid , Hollow Frustum , Star Pyramid , Stellated Octahedron , Small Stellated Dodecahedron , Great Stellated Dodecahedron , Great Dodecahedron , Great Icosahedron
Round Forms: Sphere , Hemisphere , Spherical Corner , Cylinder , Cut Cylinder , Oblique Cylinder , Bent Cylinder , Elliptic Cylinder , Generalized Cylinder , Cone , Truncated Cone , Oblique Circular Cone , Elliptic Cone , Truncated Elliptic Cone , General Cone , General Truncated Cone , Bicone , Truncated Bicone , Pointed Pillar , Rounded Cone , Drop , Spheroid , Ellipsoid , Semi-Ellipsoid , Spherical Sector , Spherical Cap , Spherical Segment , Spherical Central Segment , Double Calotte , Spherical Wedge , Half Cylinder , Diagonally Halved Cylinder , Cylindrical Wedge , Cylindrical Sector , Cylindrical Segment , Flat End Cylinder , Half Cone , Conical Sector , Conical Wedge , Spherical Shell , Half Spherical Shell , Cylindrical Shell , Cut Cylindrical Shell , Oblique Cylindrical Shell , Hollow Cone , Truncated Hollow Cone , Spherical Ring , Torus , Spindle Torus , Toroid , Torus Sector , Toroid Sector , Arch , Reuleaux-Tetrahedron , Capsule , Capsule Segment , Double Point , Anticone , Truncated Anticone , Sphere-Cylinder , Lens , Concave Lens , Barrel , Egg Shape , Paraboloid , Hyperboloid , Oloid , Steinmetz Solids , Solid of Revolution
4D
Tesseract , Hypersphere
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Truncated Rhombohedron Calculator (Dürer's solid)
The truncated rhombohedron (also truncated triangular trapezohedron) is a polyhedron from Albrecht Dürer's engraving Melencolia I . It is constructed by truncating the two sharp vertices of a rhombohedron with the edge length a and an angular ratio of 2/3 (72° and 108°), so that the remaining solid has a circumscribed sphere, that touches every vertice.
Enter one value and choose the number of decimal places. Then click Calculate.

Formulas:
b = a/2 * ( 3 - √5 )
c = a * √5 - 2√5
r_{c} = a/4 * √14 - 2√5
A = a²/2 * ( 3√5 + 2√5 + 5√3 - 2√15 )
A_{5} = a²/4 * √5 + 2√5
V = 5/3a³ * √√5 - 2

Source:

de.wikipedia.org/wiki/Rhomboederstumpf , Frankee 67

Length and radius have the same unit (e.g. meter), surface areas have this unit squared (e.g. square meter), the volume has this unit to the power of three (e.g. cubic meter). A/V has this unit ^{-1} .

Albrecht Dürer, Melencolia I, engraving from 1514.

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