Our latest additions to the Digital Marketing Company Apps gallery demonstrate three different kinds of custom web application: Tensor Fractal Studio turns mathematical controls into interactive 3D imagery; Prismatica turns color choices into reusable palettes; and Gematria Calculator turns words into transparent, searchable numerical results. Each is an application you can open and use—not just a picture of a proposed product.
Together, they show how we connect visual design, calculation engines, useful controls, persistence and explanatory content. A business website can do more than describe a service. It can help visitors explore a product, understand a complex idea or complete a task. This article explains what these three apps currently do, how to try them, and which development capabilities they demonstrate.
The header artwork is a conceptual illustration of layered web application architecture, not a screenshot of these tools. Follow the app links below to see their actual interfaces.
Tensor Fractal Studio: real-time 3D exploration
Tensor Fractal Studio is an interactive mathematical visualization environment. Rather than playing a prerecorded animation, it generates a three-dimensional fractal view in your browser. You can orbit the camera, zoom toward the surface and change the parameters that define the shape. The image responds to the current settings.
Four formulas, different visual behavior
The studio offers Mandelbulb, quaternion Julia, Mandelbox and a raw tensor-power field. These are not merely different color themes. Each formula changes the nonlinear operation used to generate the underlying form. Switching formulas can therefore produce substantially different geometry while keeping the same overall workspace.
A Mandelbulb uses a spherical-power operation. A quaternion Julia system introduces a four-component seed. A Mandelbox uses folding and scaling. The tensor-field option makes the matrix-and-power transformation especially direct to explore. You do not need to understand every equation before using the studio: built-in presets provide starting points, and the controls let you examine one change at a time.
A matrix becomes something you can see
The central control is an editable 3×3 tensor. Think of it as a transformation with nine adjustable entries. Alongside the matrix, per-axis scale and offset settings affect the evolving field. Conceptually, the generator transforms a point using the tensor, scales it and shifts it, then applies the selected nonlinear map. Repeating those steps creates the structure that the renderer explores.
This makes the app useful as a visual experiment. Start from a preset, change one tensor cell, and observe how the surface changes. Then adjust a scale value or offset. Changing one variable at a time gives you a clearer sense of cause and effect than moving every control together. The technical writeup explains the generator in more detail for readers who want the mathematics.
Rendering depth, light and detail
The viewport uses WebGL and distance-estimator ray marching. Instead of loading a finished polygon model, the renderer follows viewing rays through a mathematically defined field and estimates how far it can advance toward the surface. Lighting, ambient occlusion, fog, a Fresnel rim and tone mapping make the resulting geometry easier to perceive.
Camera distance, iteration settings and rendering controls involve real tradeoffs. More detail can require more work from the device. A visually complex scene is not a promise of identical performance on every phone or computer, and finite precision places limits on extreme zoom. The point is an interactive exploration tool, not an assertion of unlimited resolution.
How to try it
- Open the studio and apply a built-in preset.
- Drag on the canvas to orbit; use the mouse wheel to inspect the shape at a different distance.
- Switch formulas and compare the geometry.
- Edit one matrix value, scale or offset and inspect the result.
- Use the preset controls to save a configuration you want to revisit.
Capability demonstrated: connecting advanced mathematical logic to a usable visual interface, with real-time graphics, coordinated controls and preset persistence. Similar interaction patterns can support educational visualizations, product configurators and scientific demonstrations; those are potential project directions, not additional features already built into this studio.
Launch Tensor Fractal Studio · Read how the fractal generator works
Prismatica: from color exploration to design output
Prismatica is a color-palette studio with a holographic visual style and a practical workflow. Choose a hue, adjust saturation and lightness, explore harmony models, inspect the generated colors and export the result. The palette calculations happen in your browser.
Five colors from a controlled starting point
The studio generates five colors using fixed hue offsets and variations in saturation and lightness. Its harmony modes are Monochrome, Complement, Analogous, Triadic and Tetradic. These give you different ways to explore the relationship between colors while preserving a repeatable calculation rather than requesting a new AI-generated suggestion.
Use the color wheel for direct exploration or the hue slider for keyboard-accessible adjustment. Saturation changes the intensity of the colors; lightness moves them toward lighter or darker values. Undo and redo let you compare decisions, reset returns to the starting palette, and randomize provides another starting point when you want to explore without a predetermined hue.
Contrast is a measurable decision
A beautiful palette does not automatically produce readable text. Prismatica includes a foreground/background contrast matrix that compares the generated colors using relative luminance. Each pairing displays a contrast ratio and a result label. That lets you distinguish a color that works well as a decorative accent from a pairing that is suitable for text.
For normal text, WCAG AA requires at least 4.5:1 and AAA requires 7:1. Large text needs at least 3:1 for AA; in this context, large text means at least 18 points, or 14 points when bold. A color pair that passes one threshold does not automatically pass every other use. Font size, weight and the actual background still matter.
The matrix deliberately allows failing sample pairs to be seen, but keeps the numeric ratios and result labels separate and readable. More importantly, a passing pair is not a certificate of full website accessibility. Keyboard interaction, focus visibility, labels, structure and other requirements still need their own evaluation.
Preview, copy, save and export
The interface preview places your palette into a sample design so you can judge the relationship between surfaces, accents and text. Switch to the contrast matrix when you need the measurements. You can copy individual hexadecimal colors, download CSS custom properties for a stylesheet, or export JSON containing the palette data.
Save on device means exactly that: Prismatica stores the palette in this browser’s local storage and restores it when you return. It does not create an account or synchronize the palette across devices. Clearing browser data removes the saved state. If you need a portable copy, export a file and keep it outside the browser.
How to try it
- Choose a hue and adjust saturation and lightness.
- Switch between Analogous and Triadic to compare the generated palette.
- Use Undo to return to the previous version.
- Check candidate text/background pairs in the contrast matrix.
- Preview the palette, copy the values you need, and export CSS or JSON.
Capability demonstrated: turning a specialist design task into a responsive workflow with immediate feedback, reversible state, accessibility measurements and useful file outputs. The same product thinking applies to brand tools, theme editors and guided design utilities.
Launch Prismatica · Read the color studio guide
Gematria Calculator: explainable arithmetic and search
Gematria Calculator assigns values to letters and adds them using three published systems: Jewish, English and Simple. Enter a word or phrase to see its totals, then open the result page for a letter-by-letter breakdown and matches from the included phrase archive. Entering a whole number searches stored totals instead of adding the number’s digits.
Three systems with visible rules
Simple gematria assigns Latin letters a through z the values 1 through 26. English gematria multiplies those values by six. The Jewish calculation uses the supplied non-ordinal Latin mapping and also supports Hebrew letter values, including final forms. These names describe the implemented tables; they do not mean that every historical tradition uses identical rules.
For example, god produces Jewish 61, English 156 and Simple 26. The Simple total is 7 + 15 + 4. The English total is six times 26. In the supplied Jewish mapping, the values are 7 + 50 + 4. Showing the individual letters makes the output checkable rather than asking the visitor to trust an unexplained number.
The Methods page publishes the exact tables. Input normalization also matters: Latin letter case does not change a score; punctuation and spaces contribute zero. Characters not in the tables are ignored, and accented letters are not automatically transliterated. Hebrew letters contribute to the Jewish calculation, not to the Latin-only English and Simple tables.
A searchable archive, not invented matches
The calculator searches the archive bundled with the installed application. Stored phrases are normalized and their totals recalculated with the same engine used for new input. Phrase result pages currently compare the Jewish total; whole-number result pages can find entries matching any of the three systems and indicate which system matched. The interface displays a limited result set rather than claiming to show an unlimited external database.
The historical search counts shown alongside entries belong to the source snapshot. They are not this website’s current traffic, and they do not rise when you search here. The Statistics page describes the included archive. The installed calculator does not query an external phrase service, generate new interpretations, or claim that its archive is a complete record of every phrase ever submitted elsewhere.
Equal values establish an arithmetic coincidence under a specified mapping—not causation, a prediction or proof of a claim. Archive phrases are quoted data and may include assertions that we do not endorse. Keeping those distinctions visible is part of making a calculation product intelligible and trustworthy.
How to try it
- Enter a word such as god and read the instant totals.
- Select Calculate to open the shareable result page.
- Check the contribution of each recognized letter.
- Compare archive entries and note the system used for the match.
- Enter a whole number to explore numerical matches, then consult Methods for any mapping you want to verify.
Capability demonstrated: deterministic calculation, Unicode-aware input handling, explainable results, searchable structured data and addressable result pages. Related business applications could include estimators, reference libraries and rules-based lookup tools. Their value comes from well-defined rules and transparent output, not from adding AI where arithmetic is sufficient.
Launch Gematria Calculator · Read about the calculator
What these apps demonstrate about our development capabilities
The common thread is not a single visual effect. It is the connection between an input, a reliable process and a useful result. Tensor Fractal Studio connects parameters to geometry. Prismatica connects design decisions to colors, contrast and export files. Gematria connects text to documented arithmetic and searchable records. Each requires the interface and the underlying logic to agree.
Custom interfaces that fit the task
A 3D viewport needs different controls from a color palette or a phrase search. Reusing a generic dashboard everywhere would make these tools harder to understand. We use a shared website identity and navigation while giving each application the interaction model its task needs. The gallery brings the products together without forcing them to behave identically.
Appropriate computation and storage
Not every feature needs a remote AI request or the same storage model. Graphics rendering belongs close to the interactive viewport. Color arithmetic can run immediately in the browser. Phrase matching uses a bundled archive. Prismatica’s local save has a different purpose from a saved fractal preset. Explaining those choices clearly helps visitors understand what is retained and what they can take away.
Demonstrations with a business purpose
For a prospective client, these apps offer tangible examples of the kinds of behavior we can engineer into a custom application. You can change a value, inspect a result and evaluate the workflow yourself. The gallery does not establish a guaranteed conversion increase, revenue outcome or performance benchmark. It provides direct evidence of implemented interactions that can inform a discussion about your own requirements.
Search, clear answers and accessible interaction
An interactive tool still needs an understandable public page. Our app pages pair the working experience with descriptive headings, feature explanations, guides and frequently asked questions. English and Spanish page content makes the purpose and methods available to a broader audience. Direct links connect each app with its explanatory material instead of leaving the interface isolated.
SEO helps search engines discover and distinguish these pages. AEO emphasizes direct answers to practical questions. AIO and GEO emphasize content that AI-assisted discovery systems can interpret and cite accurately. Canonical URLs, localized metadata and relevant Schema.org markup support that structure. They do not guarantee rankings, rich results or citations from a particular service.
Accessibility also requires task-specific choices: labeled fields for a calculator, keyboard-adjustable controls for color selection, readable numeric results, logical headings and reduced-motion behavior where applicable. Prismatica’s contrast matrix is a useful measurement tool, not a substitute for auditing an entire interface. A visually complex WebGL scene also needs separate consideration for users who cannot interact with that scene. We do not present this showcase as a formal certification of full WCAG conformance.
A practical tour—and a starting point for your project
Begin in the Apps gallery. Try changing a fractal formula, building and exporting a palette, and checking a word’s numerical breakdown. Notice not only the visuals but also whether the controls, explanations and outputs make the task easier to understand. Those are the questions that matter when choosing features for a business application.
If you are considering a custom tool, start with the job it must do: who will use it, what they will enter, how its rules should work, what they need to save, and what output they need at the end. A focused application that answers those questions can be more useful than a long list of disconnected features.
Digital Marketing Company builds custom web experiences around that connection between purpose and implementation. Explore our custom web application development service, or request a proposal and tell us which interaction from these examples is closest to what you want to create.
