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0.1 SinTang tool

Sine graph
Photo: The first half of the sine graph has been drawn, the tool is rotated 180 degrees so the second half can be created.

Draw an X axis with the ruler. Mark the X=0 and X=180 degrees position. The distance between the two marks is eight centimetres.
Align the two two centimetre indications of the tool with the X axis.
Draw the contour line for the sine from the X value of 0. Start at the pen blocker to avoid glitches. Draw along the contour until the pen blocker at the X value of 180 degrees which is on the X axis. Hold the pen on this position and rotate the tool around this pen position so the tool is upside down. Continue drawing the second half of the tool until reaching the pen blocker again on the X axis.
For convenience place a pushpin at the 180 X position and rotate the tool around the pushpin.
You can also place pushpin(s) in the pushpin marker positions to hold the tool in place.

Cosine graph
Photo: The first quarter of the cosine graph is drawn. The tool is rotated 180 degrees clockwise, so the ‘hill’ is upside down for the negative part of the graph.

Basically the shape of the cosine has the similar shape as the sine. However the graph is shifted to the left for 90 degrees.
Draw an X axis with the ruler. Mark the 0, 90 and 180 degrees positions. A section of 90 degrees has a length of four centimetres.
Align the tool with the X axis where the right pen blocker is positioned at the 90 degrees position. Draw along the contour starting at the top (X=0) downwards to the X axis.
Rotate the tool 180 degrees clockwise. Align the tool with the X axis and draw the negative part of the graph from 90 to 270 degrees.
Rotate the tool once again. Align the tool with the X axis and draw the last quarter of the graph up from the X axis on to the top of the graph.

Tangent graph
Photo: The X and Y axis are drawn as well as the first quarter of the tangent graph. The tool is positioned so the second quarter can be created. The pen blocker is hooked with a pushpin.
Draw an X axis with the ruler. Mark the 0, 90, 180, 270 and 360 degrees positions. The distance between each position is four centimetres, which covers 90 degrees.
Draw two asymptote lines : One at 90 degrees and one at 270 degrees.
The distance for the first asymptote line is four centimetres from the 0 degrees position on the X axis, the next one is at a 12 centimetres distance.
For the first section of the graph align the short (four centimetres) side with the X axis. Start at the pen blocker (0 degrees) and draw along the tangent contour upwards until you approach the first Y axis.
For the second section of the graph find the 180 degrees position (preferably provided with a pushpin).
Hook the pen blocker with the pushpin while the tangent curve is pointing down. Align the tool with X axis and draw the lower part of the graph.
For the third section rotate the tool around the pushpin 180 degrees counter clockwise. The tool has the same position as for the first section.
The fourth section is similar to the second section. Find the 360 degrees position, hook the pen blocker to the pushpin and align the tool with the X axis and draw the curve going down unstill you approach the Y axis.

0.1 SinTang tool

SinTang; combination tool for the sine, cosine and tangent graph

Global description
The SinTang tool combines graphs for two formulas; the sin(X) and the tan(X). More precise, a half period of the sine graph and a quarter of the tangent graph.
The sine graph, is the ‘hill’ contour which is the first half period of the sine graph. The cosine is a to the left shifted sine graph.
When placing the tool looking at the hill, the top side of the tool is a left to right downhill slope. After rotating 90 degrees clockwise it represents a quarter of the tangent graph.
The vertical left and right hand sides have an indented centimetre indication.
Pushpin markers are provided at the top surface.
For sine and tangent values of 1, the distance along the Y-axis is 4 centimeters. These dimensions provide sufficient ‘tactile space’.

Detailed description of the sine tool
The range from 0 to 180 degrees X values is distributed over a length of eight centimetres (aprox. 3 inches).
At 90 degrees is the top of the graph (maximum amplitude) at an height of four centimetres.
Small indents are provided in the curve at 30, 45, 60, 90, 120, 135, 150 degrees positions.
Pen blockers are provided at 0 and 180 degrees positions.

Detailed description of the tangent tool
To use the tangent part of the tool it has to be rotated for 90 degrees clockwise.
The contour of the tangent has small indents indicating the 30, 45 and 60 degrees positions on the X axis. The tan(45) is 1. The value of the graph is 4 cntimetres.
Pen blockers are provided at the 0 degrees and towards the 90 degrees position.
A length of four centimetres along the X axis covers a range of 90 degrees.

TactiPad – Drawing tools – Art & Science Templates: Spur Wheel

The Spur Wheel Template

Photo: Spur wheel with 12 teeth
Photo: Spur wheel with 12 teeth (prototype 3D-print)

Detailed description of the spur wheel template

There are different types of spur wheels. This shape represents the mechanical properties with which the force can be maximised. When you interlink two wheels of this type, their teeth always have a point of contact under an angle of 90 degrees when rotating. Although it looks like an arbitrary number of teeth can be placed in a circle, this is not the case.

The wheels in the set have 12 or 15 teeth respectively. The spaces between them – their negative counterparts – are placed on the inside of the round template, so that the drawing result will have its teeth on the outside. The body of the spur wheel has finger fitters in eight positions along the outside for easy lifting or extra grip. You find pushpin markers in the top surface of the body.

Utilising the spur wheel template

The spur wheel is a relative complex tool to use / shape to create. We recommend to use one to two push pins to fixate to tool on the TactiPad. Draw the inner contour of the spur wheel and you have created the first step into the mechanical domain or flower design.

Once you have interlinked two spur wheels, you will experience a complex issue: finding the perfect position for one tooth on the one and two teeth on the other wheel to “bite each other”. This gives you an impression of how delicate spur wheel systems are in mechanics.


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    TactiPad – Drawing tools – Art & Science Templates: Polygon

    The Regular Polygon Template

    Photo: Heptagon polygon template
    Photo: Heptagon polygon template (prototype 3D-print)

    Detailed description of the regular polygon template

    The set contains templates for regular polygons with five, six, seven, eight and nine corners referred to as pentagon, hexagon, heptagon, octagon and nonagon respectively. The radius of the polygons ranges from two to eight centimetres.

    In a regular polygon all corners have the same angle. The corners are interconnected with lines that have all the same length. Another way to describe a polygon: A polygon consists of a number of equal leg triangles where the top corners of all equal legged triangles are at the same position. So they are arranged in a circle like slices of a pie. The distance from all corners to the centre point is the same.

    The body of the tool is two centimetres wide. It is shaped as a triangle where one side is not present. It could be described as a jaw hook. The angle between the two sides is less than 90 degrees. Near to the rounded outside corner and near to the tips you find pushpin markers. One side of the polygon tool contains a number of wholes, indicating the number of corners of the particular polygon.

    The side with the wholes is referred to as ‘radius side’. This radius side has a centimetre indication in the top surface and indents every half centimetre. The inner side of the side with the finger fitter to the far right is referred to as ‘drawing side’. The drawing side has the same number of indents as found on the radius side.

    To construct the polygon, the pen position in the radius side has to correspond with the one in the drawing side, measured starting at the inner corner. As an example, a groove as a visual tactile clue ending at the four centimetre radius indication shows the direction to look for the corresponding indent in the drawing side and/or the respective bisectrix position. The value for the radius is measured starting at the inner sharp corner and increases towards the tip. The once selected position at the radius side is going to be the centre of the polygon.

    At the outer side of the drawing side you find indents as well. They indicate the position for the bisectrix of the equal leg triangle. The outside corner in between the radius side and the drawing side is rounded to allow for alignment with the ruler; the distance from the sharp hook to the ruler remains the same when you move/rotate the polygon tool.

    Utilising the regular polygon template

    The regular polygon tools are mainly used to create these shapes. You can also create mandalas. You have to use at least one pushpin to mark the centre of the polygon. A second pushpin is handy to mark the position to draw to along the drawing side.


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      TactiPad – Drawing tools – Art & Science Templates: Rectangular hook / L-shape hook

      The rectangular hook / L-shape hook Template

      Photo: Rectangular hook / L-shaped hook
      Photo: Rectangular hook / L-shaped hook (prototype 3D-print)

      Detailed description of the rectangular hook template

      The two sides of the rectangular hook are under an angle of 90 degrees and are 10 centimetres long. The body of the tool is two centimetres wide. The corner between the sides is rounded at the outer side. The sides are ending with a 90 degree hook. Near the rounded corner and near to the tips, you find push pin markers.

      You find indents for 30, 45 and 90 degrees at the rounded corner for alignment with the ruler. There are centimetre indicators along the inner side on the top surface. The inner sides have indents every half centimetre. At the outer side you find indents to perform a 30 or 45 degree rotation in reference to the inside angle. On the outer sides, near to the tips you find a finger fitter for easy lifting or extra grip.

      Utilising the rectangular hook template

      When you drawing along the two sides towards the inner corner you create two lines with a 90 degree angle. When you connect the two endings of the previously created lines you will get an irregular triangle on the TactiPad. By rotating and/or mirroring a triangle, you can create shapes such as diamond or kite.


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        TactiPad – Drawing tools – Art & Science Templates: Triangle

        The equal sided Triangle Template

         Photo: The six centimetre equal sided triangle of the set
        Photo: The six centimetre equal sided triangle of the set (prototype 3D-print)

        Detailed description of the triangle template

        The templates for the triangles are of the type equal sided triangle. The length of the sides ranges from three to eight centimetres respectively. One outer corner is rounded, the other two are sharp. Along the outside you find indents at every centimetre. They correspond with the corners at the beginning/ending of the inner sides. The body of the triangle is about 12 millimetres wide. On the top surface, you find pushpin markers.

        The inner sides have an indent at their halfway position.

        On one of the outer sides you find a finger fitter for easy lifting or extra grip.

        Utilising the triangle template

        When you place the triangle template somewhere on the TactiPad in any orientation and then draw along the inner contour, you create your first triangle.

        With the equal sided triangle you can create other shapes: a rectangular triangle of 30, 60 or 90 degrees, a diamond and star.


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          TactiPad – Drawing tools – Art & Science Templates: Square

          The Square Template

          Photo: The four centimetre square of the set
          Photo: The four centimetre square of the set (prototype 3D-print)

          Detailed description of the square template

          The sizes of the squares ranges from two to ten centimetres. The frame that forms the square is one centimetre wide. So a four centimetre squared template has the inner dimension of four centimetres. The outside is six centimetres in square.

          Two diagonal opposite outside corners are sharp, there you can find the pushpin. The other two corners are rounded. Along the outside a small indent is provided at every centimetre. The inner side has an indent at the halfway position of each of the four sides. In two of the opposing outer sides you find finger fitters for easy lifting or extra grip.

          Utilising the square template

          When you position the square somewhere on the TactiPad in any orientation and then draw along the inner contour, you create your first square. With the square template you can create many more shapes such as diamond, parallelogram, trapezium, and also 3D shapes such as pyramid or cube.

           


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            03. TactiPad – Placing the drawing foil

            The TactiPad board has a hinge on one of the long sides to be able to open and close the frame. If you open the frame and let it lean a bit back, it stays open. In this position, you can easily place a drawing sheet on the rubber mat. The sheet is somewhat larger than the rubber mat. Make sure that the margins are roughly the same size on all sides.

            Slightly close the frame, and let it rest on your hands. Smooth out the surface of the sheet by moving both hands out from the middle to the sides while pressing the sheet. Remove your hands and let the frame drop back in place. For best drawing results the sheet should be placed on the drawing surface as smooth as possible. You may have to try this a couple of times to get it right.


            Placing the sheet on the drawing surface

            Smooth out the foil with your hands to remove wrinkles

            06. Digital Pen – TactileView software

            Preferably, the receiver is connected to the computer by a USB-cable before the TactileView software is launched. A notification reports this. When the software has informed that the receiver is connected, it does not necessarily mean that the digital pen transmits a signal when its tip is pressed. Place the pen on the drawing surface and lightly press down. A tinkling sound is played when the pen has made contact. This sounds indicates the pen being ‘stand-by’. When there is no sound played while pressing the pen, its batteries could be empty or the receiver cannot receive the pen’s signal.
            From the menu ‘Settings > TactileView digital pen’ the pen function can be checked using the option ‘Test’.

            02. Digital pen – Parts

            The TactileView digital pen consists of three parts: a digital pen, a receiver and a holder for the receiver.
            The tip of the digital pen is an exchangeable pin. Upon drawing, the tip gets pushed slightly into the pen, activating a tiny transmitter in the pen. Two small batteries in the pen power the transmitter.
            The holder, which keeps the receiver of the digital pen in place, magnetically clicks to the side of the TactiPad or the TactileView ClickPad. The receiver is connected to the computer with a USB cable and sends the pen’s signal to the TactileView software. The software on the computer processes the pen’s position every time it clicks or moves.