<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This paper shows our discovery of the fiboquadratic numbers, quadratic Fibonacci numbers in rithmomachia. This board game consists in performing mathematical operations to attack an opponent through geometric numbered pieces. We will show that the numbers on the board pieces are the first terms of six sequences that we will define through a recursive pattern of superpartients. We then prove that this extension is the solution of a recurrence relation with initial conditions, and therefore, is unique. The fiboquadratic numbers we introduce in this work are not limited to the context of this board. In general, we can generate any fiboquadratic sequence with arbitrary initial conditions.</p>
</abstract>

This paper shows our discovery of the fiboquadratic numbers, quadratic Fibonacci numbers in rithmomachia. This board game consists in performing mathematical operations to attack an opponent through geometric numbered pieces. We will show that the numbers on the board pieces are the first terms of six sequences that we will define through a recursive pattern of superpartients. We then prove that this extension is the solution of a recurrence relation with initial conditions, and therefore, is unique. The fiboquadratic numbers we introduce in this work are not limited to the context of this board. In general, we can generate any fiboquadratic sequence with arbitrary initial conditions.

Fiboquadratic numbers and Rithmomachia

Universidad Nacional Experimental Politécnica “Antonio José de Sucre”, Vice-rectory of Barquisimeto

Recreational Mathematics Magazine

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Fiboquadratic numbers and Rithmomachia"}

This paper shows our discovery of the fiboquadratic numbers, quadratic Fibonacci numbers in rithmomachia. This board game consists in performing mathematical...

Fiboquadratic numbers and Rithmomachia

Published Online: Mar 08, 2024

Page range: 17 - 29

DOI: https://doi.org/10.2478/rmm-2024-0002

Keywords
Rithmomachia, fiboquadratic numbers

© 2024 Tomás Guardia et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Fiboquadratic numbers and Rithmomachia

Published Online: Mar 08, 2024

Page range: 17 - 29

DOI: https://doi.org/10.2478/rmm-2024-0002

KeywordsRithmomachia, fiboquadratic numbers

© 2024 Tomás Guardia et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Rithmomachia, fiboquadratic numbers