Rhombus / Rhombi Theorems and Problems - Index

Euclid's Elements Book I, 23 Definitions. One-page visual illustration.
Euclid's Elements Book. Index

Perpendicular Bisector.

Word Cloud and News of the Rhombus.

Triangle and Squares.

Quadrilaterals.

Parallelograms Index.

Piet Mondrian, Lozenge (Rhombus) Composition with Red, Black, Blue, and Yellow 1925,
Pioneer of Geometric abstraction.

Durer's Pentagons and Rhombuses.
It is easy to see that two regular pentagons together with a 36° rhombus form an octagonal region that can tile the plane.

Rhombus and Equilic Quadrilateral.

Geometry Problem 749.
Triangle, Rhombus, Parallel, Harmonic Means, Metric Relations.

Proposed Problem 455.
Rhombus, Inscribed Circle, Angle, Chord, 45 Degrees.

Proposed Problem 359.
Cyclic quadrilateral, Angle bisector, Rhombus.

Proposed Problem 354.
Rhombus, Square, 45 degrees.

Proposed Problem 351.
Rhombus, Incircles, Common tangent, Circumscribable or Tangential quadrilateral.

Proposed Problem 219. Rhombus, Perpendiculars, Arithmetic Mean.

Proposed Problem 179. Rhombus, Square, Diagonal, Angle.

Generalizing Van Aubel: Michael de Villiers' Theorems.
Similar rhombuses or rhombi with centers E, F, G and H are constructed externally on the sides of quadrilateral 

Nike Golf's Geometry
The largest face area in golf with milled Dual Rhombus for great forgiveness and high ball speeds across the face.

Hinged tessellation: Tessellation of squares and rhombuses or rhombi hinged at their vertices.

The Landscape of Geometry Terms.For right brain thinking (random, visual, subjective, emotional, holistic, intuitive,  creative, divergent..) with randomly selected terms, depending on size and location, and zoom.
 

Geometry for Children: Polygon Song

Geometry: Thinking about Thinking. Pythagoras, Euclid, Euclidean geometry, inductive reasoning, deductive reasoning.

Geometry Online Glossary .
Geometry Glossary based on the new New York State mathematics standards initiative.