Research guide
Best DST Investments: Comparing Gross Income With After-Cost Cash Flow
What Is This Article About?
A property can collect more rent and still leave its investors with less cash to spend. This article compares two invented DST investments using the same $250,000 starting amount and a full year of stated assumptions. It follows rent through operating costs, fees, debt payments and reserves before adding separate account costs and a supplied tax allowance. You will see how to build a useful cash comparison without treating the result as a prediction of your personal return.
Table of Contents
- Which Income Number Are You Comparing?
- Set the Same Investment Amount and Time Period
- Compare the Property Cash Before Investor Payments
- Check DST Fees Without Subtracting Them Twice
- Separate Reserves and Loan Principal From Expenses
- Add Personal Costs and a Supplied Tax Allowance
- Why DST Cash Distributions Do Not Set the Tax Bill
- Test Lower Rent and Missing Cost Information
- Put the Annual Cash on a Payment Calendar
- Keep Current Income Separate From Investment Return
- Build a Source File for the Final Comparison
- FAQ
Which Income Number Are You Comparing?
Start with the amount you want to explain. Gross rent is money collected before the costs of running and financing the property. A distribution is money paid to an investor. Cash available for personal spending comes after any further personal costs and money set aside for taxes. Those amounts answer different questions.
The word “net” is not enough to tell you where a number sits. One report may subtract property expenses but leave out interest. Another may include interest yet omit loan principal payments. A third may show a payment to investors after a reserve release. Ask for the lines behind the subtotal before placing two figures next to each other.
The SEC's financial-statement guide explains that an income statement measures earnings, while a cash-flow statement tracks cash moving in and out. It also shows why noncash items and financing payments can make those totals differ. Those general accounting concepts help explain the comparison here; they do not establish a particular DST's reporting policy. SEC financial-statement guide
For this article, use four labels:
| Label | Question it answers |
|---|---|
| Gross rent collected | How much rent came in during the year? |
| Cash available after the listed property and trust uses | What remains before the assumed investor payout? |
| Investor distribution | How much does the investor receive under the model? |
| Cash after personal costs and a tax allowance | What remains for spending under the entered household assumptions? |
The final line is a planning figure. A tax allowance means cash the investor sets aside for an estimated tax cost. It is not proof that the tax was paid, or that the estimate is correct.
For an income-focused “best DST investments” comparison, ask how much cash a specific investment could leave after the obligations that apply to it. Even that answer is only one part of the decision. A larger payment does not establish safer debt, a stronger tenant or a better sale outcome.
Set the Same Investment Amount and Time Period
The two fictional investments are Birch Quay and Maple Court. Renee is deciding how to compare a $250,000 investment in either one. Neither name refers to a real sponsor, property or offering. Every financial amount in the comparison is an invented teaching input.
Each investment has $12.5 million of total investor equity. Renee's $250,000 represents 2% of that equity. The model gives her the same 2% share of the cash available for investor payments. There are no different payment classes, preferred cash claims or special allocations within this example.
That rule is an assumption, not a shortcut for a real offering. The documents must establish the actual ownership interest and cash rights. Paying 2% of an equity raise does not, by itself, prove that every line in a real investment follows the same allocation.
Both columns cover one complete future operating year after closing. The numbers are budgets, not realized results. All entry costs are already inside the stated $250,000 commitment. Renee makes no extra contribution during the year. The comparison excludes a sale, refinancing, tax on a prior property sale and any initial exchange-related tax result.
It also assumes the operating figures have been reconciled through any property, operator and trust layers. Where a master tenant sits between a property and a DST, the actual lease and payment duties need their own review. This simplified model does not assume that all property receipts automatically belong to the trust.
A practical worksheet needs a short scope note like this before its first percentage. It should name the year, the amount committed, the ownership share and the included cash rights. If one column covers a full year and the other covers six months, resolve that difference first.
Keep a forecast separate from a historical result. You can place them on the same page to show what is known, but label their status clearly. A forecast does not gain the weight of an actual payment record because its spreadsheet has more decimal places.
The SEC warns that private placements can involve limited disclosure, poor liquidity and a total loss. A complete-looking cash worksheet does not remove those features. SEC private-placement bulletin, updated September 21, 2026
Compare the Property Cash Before Investor Payments
Birch Quay has the larger rent budget. Maple Court has lower rent but also lower listed cash obligations. The table starts with receipts and then subtracts each use once.
All amounts below are for the entire fictional investment for the same full year. Operating costs include property management, ordinary repairs, insurance, property taxes and other stated operating payments. Larger capital work is shown separately. The trust-level fee is also separate from the property management charge.
| Annual cash item | Birch Quay | Maple Court |
|---|---|---|
| Rent collected | $1,800,000 | $1,650,000 |
| Other operating receipts | $60,000 | $30,000 |
| Total operating receipts | $1,860,000 | $1,680,000 |
| Operating costs, including property management | ($650,000) | ($500,000) |
| Separate trust-level management fee | ($75,000) | ($50,000) |
| Loan interest paid | ($600,000) | ($500,000) |
| Loan principal paid | ($100,000) | ($75,000) |
| Capital work paid from current-year receipts | ($120,000) | ($80,000) |
| New cash retained in reserves | ($65,000) | ($25,000) |
| Cash available for the assumed investor payout | $250,000 | $450,000 |
Birch Quay's receipts exceed Maple Court's by $180,000. Its listed cash uses exceed Maple Court's by $380,000. The result is $200,000 less available cash across the whole investment.
At Renee's assumed 2% share, the payouts are $5,000 for Birch Quay and $9,000 for Maple Court. That is a $4,000 difference before her personal account costs and tax allowance.
Now compare that result with the gross rent. Renee's 2% arithmetic share of Birch Quay's rent is $36,000. Her share of Maple Court's rent is $33,000. Dividing those figures by $250,000 gives 14.4% and 13.2%. These are ratios of allocated gross rent to committed cash. They are not investor distribution rates, property capitalization rates or promised yields.
The assumed payout rates are 2% and 3.6%. The order has changed. Birch Quay leads on gross rent. Maple Court leads on current cash after the listed uses.
It would still be wrong to declare Maple Court the better investment. Perhaps its reserve budget is too small, its repairs are understated or its property faces a large future cost. The comparison shows where to investigate. It does not settle whether each input is adequate.
Trace a subtotal before accepting its label
For Birch Quay, total receipts less operating costs equal $1,210,000. After the separate trust fee, $1,135,000 remains. Neither amount is the $250,000 payout budget. A page showing only the first subtotal would omit several large uses of cash.
When a report calls a subtotal net operating income, write down its definition. Do not rename the $1,210,000 amount as a standard valuation measure without checking which receipts and expenses belong in that measure. The table here is a cash budget built for one stated purpose.
Check DST Fees Without Subtracting Them Twice
A fee can be fully disclosed and still be entered twice in a comparison. The usual cause is mixing a broad expense total with one of its parts.
In the fictional Birch Quay budget, $60,000 of property management is already inside the $650,000 operating-cost line. Maple Court's $500,000 line already includes $45,000 of property management. Those fee amounts help explain the expense totals. They are not extra deductions from the bottom of the table.
If Renee subtracts Birch Quay's $60,000 a second time, the payout budget falls incorrectly from $250,000 to $190,000. Her displayed share falls from $5,000 to $3,800. The $1,200 difference is a spreadsheet error, not a hidden cost she uncovered.
The separate $75,000 trust fee does need its own deduction because the stated operating total excludes it. Record that inclusion rule beside both entries. In a real review, use the budget, the fee section and the relevant service agreement to confirm where each charge belongs.
The SEC separates transaction charges from ongoing costs. It points to account records, fee schedules and product documents, including private placement memoranda. Those records can describe different layers of expense. SEC fee and expense bulletin, July 23, 2025
The calculation basis matters too. One fee may use receipts as its base. Another may use invested equity. Comparing their rates alone misses that difference. For this illustration, the dollar fee inputs are already supplied. A real worksheet should keep the rate, the stated base and the period. It should also show any minimum or cap that affects the amount.
Keep entry costs in the starting investment
Suppose a separate explanation of Renee's Birch Quay commitment says $20,000 of her $250,000 funded entry costs. The full $250,000 still left her account. Using $230,000 as the denominator would make the same $5,000 annual payout look like about 2.17%, rather than 2% of her committed cash.
That smaller denominator may be useful for a clearly defined analysis of a particular capital component. It does not replace the total cash she invested. Nor should she subtract the $20,000 again from every year's distribution. It was an initial use of her investment, not a new recurring payment.
An extra charge paid outside the stated commitment would need different treatment. In that case, the two alternatives would no longer share the same starting cash unless the comparison adjusted them. Preserve both the total outlay and the ownership it actually buys.
Separate Reserves and Loan Principal From Expenses
Cash can leave the payout calculation without becoming an ordinary expense. The distinction matters when you review the investment's remaining assets and debts.
Birch Quay's $100,000 principal payment reduces the loan balance under the model. Renee's arithmetic share is $2,000. That amount is unavailable for spending this year, yet it does not simply vanish as a service fee. The debt is lower, assuming no offsetting borrowing or other loan adjustment.
This is not a $2,000 cash return to Renee. The benefit of a smaller loan balance depends on the property's value, later costs and the rights attached to her interest. Do not add it to the $5,000 distribution and call the sum an investor payment.
The $65,000 reserve addition has a different role. It stays in the investment as cash held back for later needs. The model does not spend it on the $120,000 of current capital work. That work is paid separately from current-year receipts, so both lines are valid deductions in this particular budget.
Consider a separate reserve example. Assume an opening reserve of $200,000 pays a $120,000 project. New receipts then add $65,000 to that reserve. The ending balance is $145,000: opening cash minus the project plus the new addition.
In that alternative, the project is funded from opening cash. Do not also treat the same $120,000 as a new use of current receipts. You need a cash-source schedule to distinguish this case from the main table. The alternative is not an extra stress layered onto Birch Quay's baseline.
A reserve balance is also not a measure of adequacy. The reviewer still needs the work schedule, permitted uses and any lender restrictions. A smaller reserve addition might reflect fewer needs, a larger existing balance or an overly light budget. The cash table alone cannot choose among those explanations.
The same care applies to a fee that is earned but deferred. If the investment owes the fee later, a larger current distribution may come with a payable still outstanding. Show the unpaid obligation beside the cash improvement rather than presenting the delay as a permanent saving.
Add Personal Costs and a Supplied Tax Allowance
Once the investment-level cash is clear, move to Renee's own account. This second stage starts with the distribution. It does not repeat the property expenses that already reduced that payment.
Assume her personal account and service costs are $900 for Birch Quay and $600 for Maple Court for the year. These are invented charges supplied for the example, outside the investment budgets. The model makes no claim that every DST investor pays these charges or that these are market rates.
Renee also supplies estimated tax allowances of $1,400 and $2,600. Treat them as separate planning inputs prepared for the assumed year. They are not calculated from the distributions, a tax bracket or an assumed deduction. No part of this article validates those estimates for a real taxpayer.
| Renee's annual cash comparison | Birch Quay | Maple Court |
|---|---|---|
| Original cash invested | $250,000 | $250,000 |
| Assumed distribution received | $5,000 | $9,000 |
| Separate personal account and service costs | ($900) | ($600) |
| Supplied tax allowance set aside | ($1,400) | ($2,600) |
| Cash left for spending under these inputs | $2,700 | $5,800 |
| Spending cash as a share of original cash | 1.08% | 2.32% |
Maple Court leaves $3,100 more for spending under the entered assumptions. Its $4,000 distribution advantage increases by $300 because the personal costs are lower. The $1,200 larger tax allowance then reduces that advantage to $3,100.
Label the last percentage precisely. It is a one-year cash ratio after assumed costs and a tax allowance. It is not an internal rate of return, a tax-adjusted total return or proof that capital will be recovered.
The allowance remains Renee's money until paid as tax, but it is earmarked and excluded from spending cash. A bank balance may therefore be higher than the amount this worksheet treats as spendable. Keep that distinction visible when checking the result against a personal account statement.
A prior-year tax bill is another timing issue. If Renee pays an older bill during the current year, a bank-cash schedule must include that actual payment. The annual comparison above instead matches an estimated tax cost to the modeled operating year. Do not silently swap one approach for the other.
Where the personal cost is uncertain, record the uncertainty before reaching the bottom line. A blank field should not become zero merely because the rest of the sheet calculates. You can show the distribution and known costs while leaving the final after-cost result incomplete.
Why DST Cash Distributions Do Not Set the Tax Bill
A tax estimate needs its own records. It cannot be recovered just by multiplying the distribution by a tax rate.
Revenue Ruling 2004-86 addresses a trust with specific facts. Its owners include their shares of the trust’s income, deductions and credits when computing taxable income. The ruling's conclusion depends on its stated structure and conditions. It does not equate cash paid out with taxable income. Nor does it give every entity called a DST that tax treatment. IRS Revenue Ruling 2004-86
This is why the model has a cash table and a separate tax-input field. The cash table records what enters or leaves the payout budget. A tax review asks how the relevant items are treated and what applies to the particular owner.
For residential rental property, IRS Publication 527 explains cost recovery through depreciation. It separates improvements from ordinary expenses. It also says principal payments cannot simply be deducted as an expense. The cited edition covers 2025 returns. We use it for those concepts. It is not final guidance for a later year or a tax opinion on these invented investments. IRS Publication 527 (2025)
Depreciation can affect a tax calculation without creating a new cash payment in the operating year. Principal can reduce available cash without serving as that year's ordinary rental deduction. A reserve contribution can reduce a payout while the money remains in the investment. These different treatments prevent a simple one-to-one link between the distribution and the tax bill.
Loss deductions also require care. IRS Publication 925 describes limits and carryovers under the passive activity and at-risk rules. A loss shown in a document is not automatically an immediate cash tax benefit for every owner. IRS Publication 925 (2025)
Let the tax estimate vary by investor
Use a separate illustration to see why this matters. Two hypothetical owners each receive the same $5,000 payment and pay the same $900 personal cost. One supplies an $800 tax allowance. The other supplies $1,800. Their remaining spending cash is $3,300 and $2,300.
Those allowances are invented inputs, not tax calculations. The difference does not establish which tax rule applies. It shows why an offering-level payout cannot determine a universal after-tax figure.
A useful request to a tax professional names the investment, the proposed ownership, the relevant year and the records available. Ask what is included in the estimate and what is still unresolved. If it includes federal and state tax, retain that scope. If it excludes a possible state filing cost, keep that item separate rather than assuming it is covered.
The comparison should also identify whether a tax benefit is expected to create usable cash during the year. A deduction carried forward does not pay this year's grocery bill. Use a separate explanation for future tax effects; do not turn an unverified future benefit into current spending cash.
Test Lower Rent and Missing Cost Information
A useful sensitivity test changes one assumption and shows the effect. It does not attach a probability to the change or claim that the chosen case is the worst possible result.
Start again with the main budget. Reduce rent collected by 5% in both alternatives. Hold other operating receipts, every listed cash use, Renee's account costs and the supplied tax allowances unchanged. In reality, several of those items might change together. This fixed-input test isolates the cash effect of lower rent.
Birch Quay loses $90,000 of rent across the investment. Its available payout falls from $250,000 to $160,000. Renee's share falls by $1,800, from $5,000 to $3,200.
Maple Court loses $82,500 of rent. Its available payout falls from $450,000 to $367,500. Renee's share falls by $1,650, from $9,000 to $7,350.
| Separate 5% lower-rent case | Birch Quay | Maple Court |
|---|---|---|
| Renee's revised distribution | $3,200 | $7,350 |
| Personal cost kept unchanged | ($900) | ($600) |
| Tax allowance kept unchanged for this test | ($1,400) | ($2,600) |
| Remaining spending cash | $900 | $4,150 |
A tax estimate should be revisited after a real change in operating results. Holding it fixed here is a model choice, not a claim that taxes stay the same when rent falls. The table also assumes all remaining available cash can still be distributed. A lender restriction or other contractual limit could produce a different payment.
Show an unknown cost as a range only when a range is supplied
Now return to the base case. Suppose Renee wants to test an additional Maple Court personal service cost between zero and $1,000. This is a chosen scenario range, not a quote or a confirmed bound. Her spending cash would range from $5,800 to $4,800 under those inputs.
Do not combine that test with the rent decline unless you label a new combined case. Otherwise the reader cannot tell which assumption caused the result to move.
If no cost range is available, write “unknown.” An invented ceiling creates a false sense of completeness. Showing a blank final result can be more useful than presenting a precise number built on an unstated zero.
Find a conditional crossover without calling it a forecast
Keep all base assumptions except Maple Court's tax allowance. At $5,700, its $9,000 payout less $600 of personal costs leaves the same $2,700 as Birch Quay. That is a conditional arithmetic threshold.
The $5,700 amount is $3,100 above the supplied $2,600 allowance. It is not an estimate of tax due or a likely change. It simply tells Renee how sensitive the comparison is to that single input. A tax professional would need to determine whether any revised allowance is appropriate.
Put the Annual Cash on a Payment Calendar
An annual total can be positive while a bill arrives before the income needed to pay it. A household review should therefore place actual or assumed payment dates beside the annual amount.
For a separate calendar illustration, assume both investments pay equal amounts at each quarter's end. Birch Quay pays Renee $1,250 each quarter. Maple Court pays $2,250. Also split the personal costs and tax allowances evenly across four quarters for this illustration.
Birch Quay's quarterly personal cost is $225 and its tax set-aside is $350. That leaves $675 per quarter, or $2,700 over the year. Maple Court's figures are $150 and $650, leaving $1,450 per quarter and $5,800 for the year.
These are chosen payment patterns, not terms established by the annual budget. A real offering might pay monthly, change its payment or make no distribution for a period. Do not infer an actual payment frequency from an annual percentage.
Suppose Birch Quay's $225 personal charge falls due at the start of the quarter, before the $1,250 distribution arrives. Renee needs other available cash for that charge. The annual result has not changed, but the timing need is real. Do not call a later distribution a source of cash for an earlier payment without identifying the bridge.
The tax set-aside schedule is also a planning choice. It is not a statement of required tax-payment dates or a calculation of estimated-tax penalties. Use the schedule that Renee and her tax professional adopt when moving from this teaching example to a real budget.
A missed payment is a different case from a delayed payment. If cash arrives later, the annual amount may be unchanged but the timing gap grows. If cash is permanently lower, the annual comparison changes as well. Record both the amount and the expected receipt date instead of using one “income risk” adjustment for both events.
Keep Current Income Separate From Investment Return
This worksheet answers a one-year spending question. It leaves the investment's final value unresolved.
An investor who receives $5,800 after the entered costs could still lose capital on a later sale. Another who receives less current cash might have more cash retained inside the investment or a smaller loan balance. Neither possibility can be valued from the current payout alone.
A proposed hold period needs fresh assumptions for each year. Simply multiplying one year's payout by that period does not provide them. Repairs, rents, interest, reserves and fees can change. A future sale also requires its own price, expenses, debt payoff and payment allocation.
The gross rent ratios of 14.4% and 13.2% describe rent before costs. The 1.08% and 2.32% spending-cash ratios come after the stated deductions. They do not measure the same return. Each numerator represents a different point in the cash path. The common denominator makes the difference easier to see; it does not make the measures interchangeable.
The principal and reserve rows deserve attention here. Principal paid may reduce later debt due, while retained cash may help fund future costs. But counting those amounts as current distributions would misstate what Renee can spend. Counting the reserve again at exit without subtracting later uses could overstate the final proceeds.
A complete return model would need dated investor contributions, all distributions, any later contributions and the final cash received. It would also need a clear treatment of taxes and personal costs. This article deliberately stops before that model because its task is to explain the annual cash comparison.
The decision can still use the result. Renee may learn that an attractive gross-rent headline does little for her near-term spending needs. She may also learn that the lower-income option retains more cash for work. Those observations lead to better questions about the business plan, rather than an automatic purchase verdict.
Build a Source File for the Final Comparison
A real comparison needs a record for each input, including who supplied it and what period it covers. A number copied accurately from an old forecast is still an old forecast.
For the operating section, gather the rent and other-receipt schedules, the expense budget, the debt payment schedule and the capital-work plan. For reserves, obtain opening balances, planned additions, planned uses and any restrictions. Keep the trust's payment rules beside the calculation that turns available cash into investor distributions.
The fee review needs enough detail to locate each charge once. Mark a charge “included in operating costs” when the documents support that treatment. If two sources conflict, preserve both values and ask which one governs. A newer presentation date does not automatically amend a signed agreement.
For Renee's personal layer, keep account costs separate from product costs. State whether the tax input is a matched-year allowance or a schedule of actual cash tax payments. Record its scope and preparation date. A spreadsheet should not silently replace a missing estimate with the previous investor's number.
A concise source row can carry the following information:
| Field | Example of what to record |
|---|---|
| Input | Separate trust-level fee |
| Source and location | Named agreement, section or page |
| Period and basis | Full operating year; stated receipt definition |
| Status | Budget, actual payment, estimate or unresolved |
| Inclusion note | Outside operating-cost subtotal |
| Follow-up | Confirm whether an amendment changes the rate |
The source file is especially useful when a column changes. If a sponsor revises the capital budget, the reviewer can update that line and explain the change. The entire comparison does not need to be rebuilt from an undated screenshot.
Finish with a short statement of the conditional result. For this example: Maple Court leaves $3,100 more annual spending cash under the supplied base assumptions. Its adequacy of reserves, investment value, future sale outcome and Renee's actual tax result remain outside that conclusion.
That wording makes the finding usable. It identifies what the arithmetic shows, the inputs on which it depends and the work still needed before a personal investment decision.
FAQ
Is gross rental income the same as a DST distribution?
No. Gross rent comes before the listed property and financing uses. A distribution is the cash paid to an investor under the trust's terms and payment decision. The fictional Birch Quay example allocates $36,000 of gross rent to a 2% share but pays only $5,000 after the modeled uses. The rent allocation is not a payment to Renee.
Why can the lower-rent investment leave more cash?
Its expenses, debt payments, capital work and reserve needs may be lower under the compared assumptions. Maple Court has $180,000 less total operating receipts but $380,000 less listed cash use. That leaves $200,000 more for the modeled investor payout. The result depends on the quality and completeness of both budgets; it does not prove that the lower-cost budget is adequate.
Should I subtract a management fee from the stated distribution?
First check whether the fee already reduced that distribution. Subtracting an included property fee again creates an error. A separate personal account fee paid outside the investment may need another deduction. Keep the payer, payment level, fee basis and inclusion rule next to each amount so the same charge appears once in the cash path.
Can I estimate taxes by applying my tax bracket to the cash payout?
The distribution alone does not establish taxable income. The investment's tax treatment and your own facts affect the calculation. This article uses supplied tax allowances as outside inputs; it does not calculate them. Have the relevant records reviewed before relying on an allowance. Keep a matched-year estimate separate from the dates of actual tax payments.
Does cash retained in a reserve count as a loss?
A reserve addition is cash kept inside the investment under this model. It reduces the current payout, but the cash remains available only for uses allowed by the governing terms. Later spending may reduce it. To judge the reserve, review opening cash, additions, uses and restrictions. Having a reserve does not show that every future cost is covered.
What if one personal cost or tax estimate is missing?
Keep it marked unknown. Show the distribution and known deductions, then withhold the final spending-cash figure or present a clearly labeled scenario using a supplied assumption. Do not describe a chosen range as a verified ceiling. A complete-looking result based on an unstated zero hides the very question the comparison should reveal.
Does a higher after-cost cash figure identify the best DST investment?
It identifies a larger amount under the entered cash assumptions. It does not evaluate all risks, personal needs or future outcomes. Review the property, debt, reserves, governing documents, sponsor and possible exit separately. A one-year cash ratio cannot establish total return, principal recovery, tax treatment or suitability for a particular investor.
About Sequoia Research
Sequoia Research, LLC provides independent research on DSTs and other real estate investment offerings. This educational library explains source documents, comparison methods and the limits of investment data so readers can form more specific research questions.
Sources
- SEC, Beginners' Guide to Financial Statements — January 12, 2014; page last reviewed or updated February 6, 2017. Used for general cash-flow versus earnings concepts.
- SEC, How Fees and Expenses Affect Your Investment Portfolio — July 23, 2025. Used for product and account cost records and the distinction between transaction and ongoing fees.
- SEC, Private Placements Under Regulation D — August 17, 2022; updated September 21, 2026. Used for limited disclosure, liquidity and loss risks.
- IRS, Revenue Ruling 2004-86 — 2004. Used for the specific ruling's owner-level treatment of trust income, deductions and credits; no blanket qualification conclusion.
- IRS, Publication 527 — 2025 edition for 2025 returns. Used for depreciation, capital items and principal-payment distinctions, not a personal tax calculation.
- IRS, Publication 925 — 2025 edition for 2025 returns. Used for loss limitations and carryover concepts.
Sources inspected October 17, 2026. All properties, investor details, operating budgets, fees, tax allowances and numerical scenarios in this article are invented illustrations.