Adding Unit Fractions - Google Play

 Adding Unit Fractions

 https://play.google.com/store/apps/details?id=com.nummolt.fractions.add

The app proposes 21 challenges to overcome.
Obtaining the proper fractions listed at the top of the application, adding two or three unit fractions.

Each proposed proper fraction has a variable number of solutions.
And different levels of difficulty

You can not repeat unit fractions with the same value.
In the app you'll find a button to delete all the solutions found in the current problem, and to start from scratch.
The lower unit fraction used in this app is 1/28.


The app allow to decompose  2/3, 3/4, 3/5, 4/5, 5/6, 3/7, 4/7, 5/7, 3/8, 5/8, 7/8, 4/9, 5/9, 7/9, 8/9, 3/10, 7/10, 9/10.

The app works right in Android  TV devices.

3/7 Only 1 solution with 1/28 as the tiniest available unit fraction

8/9 Only 1 solution with 1/28 as the tiniest available unit fraction

 

Measure Fractions - Google Play

 Measure Fractions

 https://play.google.com/store/apps/details?id=com.nummolt.measure.fraction

 

 Measure fractions:

The 4 elementary operations with fractions:

3/2 + 4/3 = 17/6 

4/3 - 5/4 = 1/12;  5/4 + 1/12 = 4/3 

4/5 * 3/2 = 6/5 

(6/5) / (3/2) = 4/5

 

 

Explore adding unit fractions:

Akhmin Papyrus n/17 

Table Adding Unit Fractions: 

2/17 = 1/12 + 1/51 + 1/68 

3/17 = 1/12 + 1/17 + 1/51 + 1/68 

4/17 = 1/12 + 1/15 + 1/17 + 1/68 + 1/85 

5/17 = 1/4 + 1/34 + 1/68 

6/17 = 1/3 + 1/51 

7/17 = 1/3 + 1/17 + 1/51 

8/17 = 1/3 + 1/15 + 1/17 + 1/85 

9/17 = 1/2 + 1/34 

10/17 = 1/2 + 1/17 + 1/34 

11/17 = 1/2 + 1/12 + 1/34 + 1/51 + 1/68 

12/17 = 1/2 + 1/12 + 1/17 + 1/34 + 1/51 + 1/68 

13/17 = 1/2 + 1/4 + 1/68 

14/17 = 1/2 + 1/4 + 1/17 + 1/68 

15/17 = 1/2 + 1/3 + 1/34 + 1/51 

16/17 = 1/2 + 1/3 + 1/17 + 1/34 + 1/51

 

 

 

Adding unit fractions:

1 = 1/4 + 1/5 + 1/6 + 1/9 + 1/10 + 1/15 + 1/18 + 1/20

Measure Fractions: Youtube playlist:

https://www.youtube.com/playlist?list=PLo4AMY8jDHYYzAHypeWJqL8GbbnPLd8Tl

Calculadora Natural - Google Play

 Calculadora Natural:

 

https://play.google.com/store/apps/details?id=com.nummolt.calculadora.natural

Calculadora Natural Long Scale in Spanish
This is the Whole Calculator in the SPANISH and LONG SCALE version:
NOT USEFUL IN ENGLISH !!!

Los numeros naturales representados también en letras. 

Es una calculadora de enteros.

La división muestra el resto. 

No trabaja con fracciones ni con números decimales.

 

Spanish:

 

 Català:

 

 Calculadora de enteros Escala larga (Miles de millones en vez de billions)

 

 Video: Cómo es un Centillón? (10^600):

 

Calculadora Natural en català:

 

Privacy Policy:

https://nummolt.blogspot.com/2022/06/privacy-policy-calculadora-natural.html

Pythagoras Explore - Google Play

 Pythagoras Explore:

 https://play.google.com/store/apps/details?id=com.nummolt.pythagoras.explorer

 

Pythagorean Triples
6 proofs and visualizations of Pythagorean Theorem:
 

Units

 

Euclid

 

Equivalent Squares

 

Perigal - Dudeney
 

Da Vinci
 

Bhaskara 

Promotional Video:

Privacy Policy:

https://nummolt.blogspot.com/2022/06/privacy-policy-pythagoras-explore.html

Proportion and Slope - Google Play

 

 https://play.google.com/store/apps/details?id=com.nummolt.proportion.slope.cross.multiplication

Proportion and Slope 

It focuses on graphically showing the idea of proportion, and the equivalent fractions for solving directly proportional problems.

Attempts to show what is routinely done with cross multiplication.Shows the slope, the ratio, the proportion between two numbers, and allows applying that proportion to other numbers, whether they are greater or less than the initial one.

 

Graphically the proportion is fixed with the red bars.  

The blue dot slides down the slope fixed by the proportion

 

Promotional Video:

 

Privacy Policy: 

Apples and oranges 1 decimal - Google Play

 Apples and Oranges 1 decimal

 https://play.google.com/store/apps/details?id=com.appleorange.firstdecimal

 

Basic tool to learn algebra.
Trying solving a system of linear equations with two equations and two unknown variables. (Two purchases and two fruits)

5 ways to solve:

Gauss-Jordan elimination:

 

Graphic

 

 

Two weighing scales

 

Cramer's rule

 

 

 

 

Inverse matrix

 

 

Apples and oranges Video:

 

 

 

Apples and oranges 1 Decimal:  Privacy Policy:

https://nummolt.blogspot.com/2022/06/privacy-policy-adding-apples-and.html

Place Value Time - Google Play

Place Value Time: 

 

 https://play.google.com/store/apps/details?id=com.nummolt.time.place.value

Time Calculator Place Value Time elapsed or countdown between two dates
Paid version of nummolt's Time Calculator:

(https://play.google.com/store/apps/details?id=com.nummolt.time.calc) 

Made with the idea of visually checking the calculations of Time Calculator.

And display the time of in place value format.

Video of Place Value Time:

Privacy Policy:

https://nummolt.blogspot.com/2022/06/privacy-policy-place-value-time.html

Circadian Clock Live Wallpaper - Google Play

https://play.google.com/store/apps/details?id=com.nummolt.circadian.clock.wallpaper

 

Circadian Clock Live Wallpaper

Clock that works with planetary mechanisms. Indicates the seconds, minutes, hours, day and night and the day of the week.

It is the live wallpaper version of the Circadian Clock interactive and zoomable. 

(https://play.google.com/store/apps/details?id=com.nummolt.planetary.gear.watch) 

Circadian Clock Live Wallpaper:   Video:

 

Privacy Policy: 

https://nummolt.blogspot.com/2022/06/privacy-policy-circadian-clock-wallpaper.html 

Math Garden - Google Play

 

 

https://play.google.com/store/apps/details?id=com.nummolt.kinder.garden.math_serialized

Math Garden +
In this app, natural numbers are represented as vegetables (plants):

Each number is a graph tree with prime factors in the nodes.

Plants similar to:
Dandelions, (from French: 'dent-de-lion')

Seeds fall from the sky
They should be planted. And then grow the plant corresponding to the seed (and the number chosen).

When the plant is plucked from the ground, dandelions return to the sky.

When two seeds overlap on the ground they add up.  

When two buried seeds overlap, they multiply. The result of the multiplications does not depend on the order of their superposition. But different arrangements make trees with different shapes.

The different possible shapes of 105:

(3*5*7; 3*7*5; 5*3*7; 5*7*3; 7*3*5; 7*5*3)

The app allows to add, subtract, multiply and divide whole numbers. And you can also add, multiply and divide rational numbers. Rational numbers are made in the Fraction Building Tool on the left.

Pythagorean triples Video:

Math Garden Youtube Playlist: 

https://www.youtube.com/playlist?list=PLo4AMY8jDHYZ-bkLLmzFDdAMH2EcwMG8i

 The numbers created during the day are positive and those created at night are negative.

 

Dragging the screen up and down changes the current furrow.

The app allows you to displace, save and harvest the plants planted in their own furrow.

 

Privacy Policy:

https://nummolt.blogspot.com/2022/06/privacy-policy-math-garden.html

Equivalent Fractions - Google Play

 https://play.google.com/store/apps/details?id=com.nummolt.equivalent.fractions.rebuild

 

The target of the app is to find two fractions equivalent to the initial one.  

 Fractions can be raised manually, or by accepting an automated list to solve. 

There are two options: Equivalent fractions with circles or with squares.

In the square you can add more or less partitions with the 'pinch zoom' vertically or horizontally.

There is a list of the correct results obtained:

 

(In the general main menu there's a inner list of last 50 right results)

 In the general menu you can increase or decrease the difficulty of the problems raised.

Promotional video:

Privacy Policy:

https://nummolt.blogspot.com/2022/06/privacy-policy-equivalent-fractions.html 

Conic Anamorphism Cameras - Google Play

 

https://play.google.com/store/apps/details?id=com.nummolt.conic.anamorphosis.cameras

 

 

Conical Anamorphism:

In a mirror anamorphosis, a conical or cylindrical mirror is placed on the distorted drawing or painting to reveal an undistorted image. The deformed picture relies on laws regarding angles of incidence of reflection.  

The app (Conic Anamorphism Cameras) has 2 type of cameras:

1.- For to build a conical anamorphosis, 

2.- for to reveal the undistorted image. 

Image distortion and reconstruction can be performed using 9 different angles of cone: 

From 41.4º to 75.5º :

(An undistorted triangle is a trifolium)

 

 Some examples made with the app:

Thonet Chair:

 Undistorted Thonet Chair:

Cage Bird:

 

 Cage Bird Conical Anamorphism with center in the yellow bird:

 

PI:

PI, Conic anamorphism:

 

Conic anamorphism app:

Foldable chair:

Video:

 

Conic Anamorphism app: Privacy Policy:

Voronoi Football / Soccer - Google Play

 

 https://play.google.com/store/apps/details?id=com.nummolt.voronoi.ball

 Delaunay Triangles and Voronoi polygons in Voronoi Football / Soccer:

Delaunay triangles are the result of  a triangulation such that no point in each valid triangle is inside the circumcircle of any other triangle. 

In the app, each player is the vertex of a triangle

 

 Connecting the centers of the circumcircles produces the Voronoi diagram:

The dual graph for a Voronoi diagram (in the case of a Euclidean space with point sites) corresponds to the Delaunay triangulation for the same set of points. 

In this app, the Voronoi polygons are the basis of the automatic operation of the game.

The position of the players can be modified, dragging them to a new situation unless they have some task entrusted to them by the team. (mainly the player who is in possession of the ball in an attacking situation, or the goalkeeper in a defending situation)

A sample of the development of the game:

Geometry of each moment is what drives this game:

The players decide the best pass from the analysis of the edges of the Delaunay triangles.
And when they advance with the ball, they usually send it to the more advanced point of their Voronoi region.

 

Privacy Policy:  Voronoi Soccer:

https://nummolt.blogspot.com/2022/05/privacy-policy-voronoi-soccer.html