Mathematics and Geometry Resources

Arctan(1) Tilt Squared Paper - Digital DownloadThis is squared paper with an arctan(1) tilt. It can be used to make fractals such as Pythagorean Trees. It's perfect for lessons related to geometric art. Happy experimenting!

Rectangular Isometric PaperUnlike ordinary isometric paper, this also has rectangular nodes made up of the ratio √3 : 1. This makes it easy for artists to plot the positions of their isometric shapes. To change standard x and y coordinates to isometric coordinates, you just multiply the width of the x values by √3 or vice versa. This new generation isometric paper is perfect for mathematical artists or classroom activities related to isometric art. Happy graphing!

Arctan(2) Tilted Squared Cube Net - Cut Out VersionA download you can cut out for trigonometric visuals and also the study of Pythagorean Triplets and Egyptian Tangrams. Ideal for: Mathematicians, Engineers, Architects, Physicists, Scientists and Artists.Happy experimenting!

Arctan(1) Tilt Squared Cube Net - Cut Out VersionThis is an arctan(1) tilt squared cube net that can be used to visualise mathematical concepts in trigonometry. It may be useful to: Mathematicians, Engineers, Physicists, Scientists and Geometric Artists.Happy experimenting!

Arctan(2) Tilted Squared Paper - Digital EditionThis sheet can be used to produce trigonometric identities, Pythagorean triplets and also work related to Egyptian Tangrams and the Golden Ratio. For: Mathematicians, Engineers, Physicists and ScientistsHave fun graphing using a new perspective!

This is arctan(2) tilted squared paper, as a net of a cube. It can be used to study cubes with squares with an arctan(2) tilt. Arctan(2) tilts are perfect for Egyptian Tangrams and also proportions related to the golden ratio. Cut out the net in your own free time and see what you can create.

This is squared paper with an arctan(2) tilt which can be used to come up with trigonometric identities and Pythagorean triplets. This download is ideal for teachers lecturing about trigonometric identities and SOH CAH TOA, CHO SHA CAO. It can also be used by mathematical artists for digital and hand-drawn work.

This is squared paper with an arctan(4) tilt which can be used to come up with trigonometric identities and Pythagorean triplets. This download is ideal for teachers lecturing about trigonometric identities and SOH CAH TOA, CHO SHA CAO. It can also be used by mathematical artists for digital and hand-drawn work.

With these workings it is easy to see why the area of a parallelogram is its base multiplied by its height. You'll also notice why the opposite sides of a parallelogram have angles that are equal. This is an excellent resource for teachers who want to explain the reasoning why A=bh for a parallelogram or just mathematics enthusiasts who enjoy looking at proofs. It may also be useful to mathematics artists who require a deeper understanding of specific formulas, for things such as vectors and com

This is a sheet of paper with inverse Pythagorean right angled triangles and also the values of SOH CAH TOA and CHO SHA CAO. It can be used to derive the measurements of the sides of inverse Pythagorean right angled triangles in a very quick manner. It's an excellent resource for mathematics / geometry artists or students that want to get to grips with the fundamentals of SOH CAH TOA and CHO SHA CAO. It can also be used as a handout in a classroom for activities related to trigonometry.

This scan demonstrates the kind of grid transformations that can be accomplished using arctan angles. There are also square patterns that manifest out of these angles. This document is a must have for trigonometry enthusiasts and geometry lecturers.

This is a diagram which contains the angles arctan(1) all the way up to arctan(9). It's a visual designed to demonstrate how simple it is to construct arctan(θ) angles. The reason why it's simple to construct arctan(θ) angles is because all that's required is the adjacent side of a right angled triangle to be equal to 1. It turns out, arctan(θ) angles aren't as ugly as once thought... They are the most easy and natural angles to produce. This document is perfect for teachers that would like to d

In this image you'll find the square (1-x)²sin²(arctan(1/x)) visualised geometrically. This is a geometric document suitable for mathematics / trigonometry lecturers or students looking to improve their understanding of geometry. The diagram was drawn carefully and labelled on squared paper.

This diagram contains a construct of the square (secθ-cosecθ)². It was made carefully using a ruler and pair of compasses. It's an excellent diagram to use in geometry lessons or for personal consumption. The content can be appreciated by lecturers or just the casual mathematics enthusiast.

This inverse Pythagorean triangle contains the distances: sinθ=cos((π/2)-θ), cosθ=sin((π/2)-θ), tanθ=cot((π/2)-θ), cosecθ=sec((π/2)-θ), secθ=cosec((π/2)-θ), cotθ=tan((π/2)-θ) This file is perfect for geometry classes based on the fundamental principles of SOH CAH TOA and CHO SHA CAO.

This file contains a geometric diagram with (x-1)²sin²(arctanx) as a square at its centre. This square was built using fundamental geometrical principles related to SOH CAH TOA, CHO SHA CAO and Pythagoras' theorem. This file is suitable for students studying higher level geometry at college or university. It was constructed with care using a pair of compasses and a ruler.

This file contains a geometric diagram with (tanθ-cotθ)² as a square at its centre. This square was built using fundamental geometrical principles related to SOH CAH TOA, CHO SHA CAO and Pythagoras' theorem. With this diagram it becomes clear as to why tan²θ-2tanθcotθ+cot²θ=(tanθ-cotθ)². This file is suitable for students studying higher level geometry at college or university. It was constructed with care using a pair of compasses and a ruler.

This is a free geometric download that helps students visualise the angles: sin(π/4), cos(π/4), tan(π/4), cosec(π/4), sec(π/4) and cot(π/4) It's perfect for geometry lessons or personal consumption.