Aspects of Infinity

Euler's Theorem

Leonhard Euler (Oyler), (1707-1783)
A Swiss mathematician who went blind at a relatively early age. He made great contributions to: numerical analysis, calculus, and topology. Much of our mathematical notation that we use today developed from Euler’s work. For example: popularizing the Greek letter pi for the ratio of the circumference to the diameter of a circle: using the lower case letters a, b, and c to represent the sides of a triangle. At his death, it took 50 pages just to list the titles of his works.

Exploring the Triangle

A picture is worth 100 words, as the saying goes. This poster says it all.

Factors Primes and Pairs

Using color, factors, primes and pairs are readily visible. The table at the bottom clarifies even further.

Fermat's Last Theorem

Pierre de Fermat (1601-1685). A French lawyer for whom mathematics was a hobby. He is the founder of modern number theory and contributed to the development of analytic geometry, calculus, ands probability. He is most famous for his last theorem, scribbled in the margin of a book. The proof was completed only recently by Professor Wiles.

Fibonacci Numbers

Fractions & Decimal Equivalents

A handy presentation of number facts we need to know.

Golden Ratio

More presentations of the ubiquitous Fibonacci numbers.

Impossible Geometry (Escher type figures)

Real or unreal. These figures are visual conundrums. The eye goes round and round. These figures can be imagined or drawn but cannot be created in concrete form. They all are impossible figures.

Knots Mathematics

Knots are both useful and beautiful. Ask any macramé artist. Mathematicians study them as a branch of topology.

What is topology? It is the study of the detailed mapping or charting of the physical features of an area.

(What is topography? The representation of 3-dimensions in 2-dimensions.)

Multiples (100 squares for multpiples 1-12)

A handy way to review multiples from 1 to 12. By using the 100 square, students can spot their errors at once since the pattern gets broken if the answer colored-in is incorrect.

Nets and Solids – From 2D to 3D

How many sides to a cube? This colorful pictorial depiction of various multi-sided figures makes it easy to determine.

Number Patterns

Yes! Besides the interesting Fibonacci number sequence, there are many other interesting facts about numbers. This should be hung at eye level for easy reading.

Pascal's Triangle

Polyhedra

Again, a picture is worth a 1000 words.

Prime Numbers to 12,000

A handy reference.

Reflections & Rotations – 2 kinds of symmetry

An excellent presentation showing two ways of achieving iteration. Symmetry has an inbred appeal. It is always nice when things balance.

Sliceforms Surfaces

Spirals and Helices

Presentations of curves developed from Fibonacci numbers both in nature and man-made. All helices are spirals but all spirals are not helices.

Theorem of Pythagoras

(Born c.560; died c. 480 B.C.) A notable Greek philosopher who made important contributions to the development of mathematics, astronomy, and music theory. He is best known for the theorem that bears his name. In a right triangle. The square of the hypotenuse is equal to the sum of the squares of the other two sides. Or a² + b²= c².

Which Number Comes Next?

A puzzle to solve and an inspiration to create other number sequences.

Who Did It? Puzzle

The best fun. A group of logic problems. We have had several groups in the store pondering the solution. We also carry the book that addresses this type of problem.