In2Infinity presents

The Geometric UNIVERSE

Pioneering new concepts in MATHEMATICS & science through geometric thinking

The Geometric Universe hypothesis

Based on the tenants of Euclidean Geometry, In2infinity has created an innovative approach to the 4th dimension, that solves some of the most illusive problems in modern mathematics and science, which also brings a deeper understanding to many of the concepts found in religious and spiritual beliefs.

The Metaphysical Approach

The scientific method relies on our capacity to observe experimental phenomena. Yet, mathematics and geometry describes both the manifest and non-manifest reality, through enumeration and logical construct.

By merging both experimental results with mathematical and geometric principles, we are able to produce new conceptual solutions to the most challenging conundrums posed by our current comprehension of realty.

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From the macrocosm of the galaxy to the microcosm of quantum fluctuations. Through the lens of Geometry, we find the same reoccurring structures.

Explore the Universe through 5 Realms

Just as there are only 5 regular Platonic Solids, so the universe itself is divided into 5 distinct scales.



From the fluctuation of background radiation to the periodic table, we present fresh explanations for phenomena discovered in the quantum realm.



From DNA to cellular functions and the breaking of the triple nitrogen bonds, we offer new insights into some of the most intrinsic mysteries of biological life.



5 biogeochemical cycles rest at the heart of life. By modelling these with the 5 Platonic solids, we are able to grasp these fundamental processes.



By revisiting the notion of a geometric solar system, first postulated by Johannes Kepler, we find modern data seems to fit a similar curious pattern.



Quantum gravity, considered by many to be the key to unlocking the secrets of the universe, now finds a geometric explanation.

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Explore our fascinating new insights into the most intriguing phenomena.

KEY concepts

Based on the tenants of our 4th Dimensional Mathematics, and Geometric thinking, we can examine the results of scientific experiments, and trends in spiritual belief, and draw fresh conclusions as to the true nature of reality.


The Continuum Hypothesis

The Continuum Hypothesis is the world’s number one mathematical challenge of the 20th Century. The problem dates back to the discovery of fractal geometry, when George Cantor posed the question, “How many numbers are there on the number line”. This led to a mathematical paradox, for which the only solution suggested that it was not answerable under the current mathematical axioms.

We provide a simple solution to this paradox of infinity by folding number space, which introduces our concept of Aleph 0.5 and the ‘Infinite Density Function’.

The Riemann Hypothesis

The Riemann Hypothesis is the world’s number one mathematical problem of the present day.

By solving the continuum Hypothesis, we lay the foundation for this innovative solution that confirms all non-trivial zeros will appear on the midpoint of the critical stripe. The solution is presented by observing the ratio created with anaclitic continuation is performed upon the zeta plane. Through understanding the geometric principles of the golden and silver ratios, we find that the critical strip is formed by the nature of the distorted number plane.

Pi and the number e

Traditionally, the categorisation of number suggests that numerical constants such as pi and the number e are ‘transcendent’ in nature. This means that they have no algebraic root. However, we challenge this notion, as we have demonstrated that pi and the number e can form whole number values when expressed through a simple set of equations.

Geometric Maths

Founded on the concept of multidimensional geometry, we have developed a novel new approach the extends the traditional conception of the number line into a multidimensional geometric form. This allows us to radically rethink the foundational nature of numbers. Whilst it has been a common conception that the complex number (i) plain is substantial enough to encompass all numbers that exist, we show that this is not the case.

Geometric Maths establishes new numerical spaces that extend the foundation of number into non-considered higher dimensional number plains. This is achieved by rethinking the foundation of mathematics itself, by answering the simple question, “How did mathematics come to be?”

4th Dimensional Mathematics

Based on the notion of three number types, space, time, and dimension, 4D maths produces iterative calculations that devolve numbers towards a specific value. Each integer creates its own unique number wave, which exhibits a unique value at each stage of iteration, (effort value). By constructing a simple 4D calculator using an Excel style spreadsheet, we can explore this interesting mathematical space, and find that mathematical ‘laws’ such as those that govern prime numbers, and even algebra itself breaks down, producing erratic results. Yet, surprisingly, we are still able to perform mathematical calculations that have logical integrity.


Dimensionless Science

By transforming Scientific Constants into pure ratio, Dimensionless Science offers a new Geometric System that simplifies complex equations and still provides results that are coherent with traditional scientific notation.

4D Aether theory

By solving the Ultraviolet Catastrophe and Photoelectric effect without the need for a particle of light, we reintroduce the notion of the Aether, which acts as a medium that can transmit light, and even electrons, through space. The result is a revolutionary new theory that can explain how to extract energy from the vacuum of space.

Atomic Geometry

By examining the orientation of the various orbital shells, (S, P D, and F), and their order of appearance, we notice that various geometric forms are generated, in 2D, 3D and 4D.

This innovative approach to atomic theory is the only model of the atom that can be physically constructed from card, opening the door for the younger generation to access this fascinating world of quantum physics.

GeoQuantum Mechanics (GQM)

From the observations made in the field of Atomic Geometry, we have extended the model to map the structure of the election cloud over the entire periodic table of elements. The result is the world’s most accurate atomic model that can predict the atomic radii of all stable elements on the periodic table.


Harmonic Chemistry

The re-examination of the atoms on the periodic table can be compared to the fundamental tenants of music. Dividing a string in to two or three gives rise to the musical circle of 4ths & 5ths. By examining the structure of the first 84 elements on the periodic table, we find a co-relation between the structure of the electron cloud, the elements on the periodic table, and simple music theory.


Since 2015 we have been developing novel geometric concepts to reinterpret existing views of different academic disciplines through the lens of new geometric and mathematical principles. Find out more about our fascinating journey.

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Atomic geometry

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“We cannot solve our problems with the same thinking we used when we created them.”