Explore

Discover the elegance and beauty of mathematics.

Tile Farm goes beyond fun and games, providing teachers and students with Explore Mode: a comprehensive set of geometry resources designed to support integrative lesson plans and inspire new design and play-based activities.


 

Solids



Quilts



Optical Illusions



Bricks



Big (Building Shapes)



Archimedean


Shapes


Regular Polygons

A Regular Polygon is a polygon where:

  • All sides are the same length.
  • All angles at every vertex are the same.


Triangles

All Triangles have 3 Sides and 3 Vertices:

  • Equilateral: all sides are the same length.
  • Isosceles: at least 2 sides are the same length.
  • Right: one interior angle is 90º.


Quadrilaterals

All Quadrilaterals have 4 Sides and 4 Vertices:

  • Rectangle: all angles are 90º.
  • Rhombus: all sides are the same length.
  • Trapezoid: has a pair of parallel sides.
  • Kites: two sets of equal length sides.
  • Square: all sides and angles are the same.


Pentagons

All Pentagons have 5 Sides and 5 Vertices:

  • Regular: all sides and angles are the same.
  • Irregular: any non-regular pentagons.

Styles


Truncations and Duals (Small & Large Truncate, Midpoints, Vertices)


Midpoint Stars


Vertex Stars