Ruler and Compass

Ruler and Compass
by Literka

NEW VERSION
Program "Ruler and Compass"

Geometrical constructions with a ruler and a compass.
Latest module Cubic Functions. Download from the page Downloads. This program is free.

Version 1.8 of program "Ruler and Compass". Algebra, quadratic and cubic functions module. New calculator window of version 1.8. It computes math. expressions with accuracy of (up to) 900 significant digits. Version 1.8 allows to compute values of expressions with complex numbers and complex functions. Version 1.8 has "Curves" module. Improved algebra module. Download now.

Build your own regular polyhedron of 12 faces. You need only 12 (unusable for computer) CD-ROM disks. See a page of ‘Literka’
How to Build a Regular 12-faces Polyhedron.
See a page of 'Literka' about
regular polyhedrons, called Plato's polyhedrons.
See a page of 'Literka' about
icosahedron, an example of Plato's polyhedrons.
See a page of 'Literka' about
Polyhedrons Built of Equilateral Triangles.
A page of 'Literka' gives an example how to use regular polytope for constructing an interesting polyhedron.

There are other pages related polyhedrons. Choose one from the
list of geometrical pages.

Page of Literka Positive random walks. New section of Mathematical Countryside of Literka opened.

New page of Literka Exact Values of cos(2*k*pi/17).

All links to pages and applets of 'Literka' about polytopes are listed on the page
Geometry of Polytopes.

See the list and descriptions of mathematical pages.

See remote pages of 'Literka' from MATHEMATICAL COUNTRYSIDE
A Remarkable Monotonic Property of the Gamma Function .
An elementary problem can be unsolvable.
Roots of a cubic equation. Cardano's formula.
Roots of a cubic equation. Another approach.
Roots of a quartic equation. Cardano's formula.
Rudin's Theorem of Complex Analysis.
Exact values of trigonometric functions of angles (n*pi)/17.
Equalities for values of trigonometric functions of angles (n*pi)/17.
Factorization of a polynomial, which defines values of sine function (angles n*pi/17).
Polynomials with roots cos(2*k*pi/n).
Factorization of polynomials with roots cos(2*k*pi/n), where n is Fermat number.
Values of trigonometric functions of angles (n*pi)/257. Part I.
Values of trigonometric functions of angles (n*pi)/257. Part II, Part III, Part IV, Part V, Part VI, Part VII.
Values of trigonometric functions of angles (n*pi)/65537. Part I.
Values of trigonometric functions of angles (n*pi)/65537. Part II, Part III and Part IV and Part V, Part VI, Part VII, Part VIII, Part IX, Part X, Part XI, Part XII, Part XIII, Part XIV.
Monotonic subsequences. Erdos theorem.
Construction of a regular pentagon.
Construction of a regular heptadecagon.
Construction of a regular polygon with 257 sides.
Weight centers of simple geometrical figures.
Weierstrass Approximation Theorem. Bernstein's Polynomials.

To see pictures of cross sections of regular 4-dimensional polytopes click here:
"Cross section of a regular 120-cells polytope."
"Cross section of a regular 600-cells polytope."

NEW APPLETS: To see pictures of various 3D cross sections of a regular polytopes:
"Applet, Cross Sections of Regular 24-cells Polytope."
Applet: Cross Sections of a Regular 600-cells Polytope.

To see pictures of nets of regular 4-dimensional polytopes click here:
"Nets of regular 5-cells and 8-cells polytope."
"Nets of regular 16-cells and 24-cells polytope."

New features: algebra module, calculator computing with (up to) 900 significant digits. Now - option for complex numbers and complex functions.
Click calculator to learn more.
New module: Cubic Functions.
New module of version 1.8: "Curves".

'Literka': math@literka.addr.com